1. Primary 4 Mathematics
Ace the Exam with
My 24/7 Personal Tutor
Detailed Explanation of ALL Questions
by Tutor in Virtual Classroom
Consulting Editor: Dr Zhang Yong
3. Preface
This book is written to assist pupils in preparing for the Primary 4
Mathematics examinations. There are a total of 10 specially crafted
examination style papers. The main features of the papers are as
follows.
1. Questions are modelled after examination papers set by top well
known Singapore schools.
2. Questions are crafted to highlight common misconceptions in each of
ii i
the topics.
This book comes with a multimedia CDROM. The CDROM contains detailed
explanations of every question in each of the papers by our teacher. These
lessons ensure pupils understand the methods that are used to solve each of
the questions
Outreach Book Alive series brings the “tuition teacher” to you at zero
cost.
You may also want to try our online programme. These are interactive
“diagnostic” modules consisting of multiple choice questions. The
incorrect options to each question are carefully crafted based on
specific misconception in learners. If your child submit a wrong answer,
our system will dynamically diagnose your child’s problem and provide an
explanation on why the answer is wrong, and what is the correct way to
solve such questions.
Visit http://www.orlesson.org today.
4. iv
Contents
Semestral Assessment 1 Paper 1 1
Semestral Assessment 1 Paper 2 16
Semestral Assessment 1 Paper 3 30
Semestral Assessment 1 Paper 4 45
Semestral Assessment 1 Paper 5 57
Semestral Assessment 2 Paper 1 70
Semestral Assessment 2 Paper 2 82
Semestral Assessment 2 Paper 3 94
Semestral Assessment 2 Paper 4 108
Semestral Assessment 2 Paper 5 121
Suggested Answers 135
Free Past Year School Exam Papers (from 2004 onwards) for download and
print.
Visit http://www.orlesson.org for links and download instructions.
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access to ALL subjects. For details, visit http://www.orlesson.org.
5. Semestral Assessment 1 – Mock Paper 1
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. Which of the following is not an equivalent fraction of
4 (2)
10 (4)
6 2 =
1
2 ?
5
(1)
10
6
15
(3)
20
12
30
( )
2. 59 074 = 50 000 + + 70 + 4.
(1) 9 (2) 90
(3) 900 (4) 9000
( )
3. What is the missing number?
?
4
8
(1) 1 (2) 4
(3) 25 (4) 50
( )
4. What is the maximum number of 3-digit numbers that can be formed
using the digits 3, 5, and 7?
(1) 1 (2) 2
(3) 3 (4) 6
( )
5. The sum of the two numbers is 6470. The larger number is 580 more
than the smaller number. What is the larger number?
(1) 2945 (2) 3525
(3) 5890 (4) 7050
( )
6. 6. What is the highest common factor of 40 and 72?
(1) 4 (2) 5
(3) 8 (4) 12
2
( )
7. Find the product of 8 tens and 80 ones.
(1) 160 (2) 640
(3) 6400 (4) 8080
( )
8. Elaine has $4800 when rounded off to the nearest hundred. What is the
greatest possible amount of money she has?
(1) $4870 (2) $4849
(3) $4749 (4) $4707
( )
9. A square has a perimeter of 32 m. What is its area?
(1) 8 m2 (2) 16 m2
(3) 32 m2 (4) 64 m2
( )
10. Find ‹x in the figure below.
(1) 330 (2) 570
(3) 670 (4) 1230
( )
11. Emily and Jason save $5638 together every month. Jason saves $838
more than Emily. How much will Jason save in a year?
(1) $38 856 (2) $57 600
(3) $67 656 (4) $77 712
( )
7. 1 of a cake and James ate
2 (4)
3
12. Emmy ate
3
1 of the remainder. What fraction
6
of the cake did they eat altogether?
(1) 2
1 (2) 1
9
(3)
9
4
9
( )
13. If + + = 82
+ = 47
+ = 64
Find – .
(1) 17 (2) 18
(3) 35 (4) 53
( )
14. Jane started walking to school at 9:30 a.m. When she reached school,
she noticed that the minute hand of her watch had moved 1800
clockwise. What time did she reach school?
(1) 10.30 a.m. (2) 10.00 a.m.
(3) 9.00 a.m. (4) 8.30 a.m.
( )
15. There were 420 people at the movie.
2 of them were men and the rest
7
were women. How many more women than men were there at the movie?
(1) 60 (2) 120
(3) 180 (4) 300
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Write fourteen thousand and seventy five in figures.
8. 4
17. Find the remainder of 8096 ÷7.
Ans: _____________________
18. Subtract 389 from 2247. Round off the answer to the nearest tens.
Ans: _____________________
19. Use all the digits 3, 5, 0, 8 to form the smallest 4-digit number that is
divisible by 5.
Ans: _____________________
9. 20. What is the value of X in the number line below?
5
Ans: _____________________
21. Arrange the following fractions from the smallest to the greatest.
, 1
12
2
, 3
9
, 5
5
4
22. What is the smallest even number that leaves a remainder of 4 when
divided by 7?
Ans: _____________________
10. 23. When the minute hand of a clock moves from 8.30 a.m. to 9.15 a.m., how
11 + + = _________.
Express the answer as a mixed number.
6
many degrees has it moved?
Ans: _____________________
24.
3
4
6
5
12
Ans: _____________________
25. The sum of 3 numbers is 125. If one of the numbers is changed from 46
to 29, what will be the sum of the new set of numbers?
Ans: _____________________
11. 26. Katie and Daniel saved $400. Katie saved $60 more than Daniel. How
1 more than Mary. What fraction of
7
much money did Katie save?
Ans: _____________________
27. Mary ate
1 of a pizza and Tom ate
4
6
pizza did they eat altogether?
Ans: _____________________
28. Mr. Lee bought plane tickets for himself and his four children for a
flight to Japan. He paid a total of $3850. If his adult ticket cost $950,
how much did each child ticket cost?
Ans: _____________________
12. 1 km more than Brian. Rachel jogged
8
29. Find the value of A and B.
4 A A
+ A 6
B B 3
Ans: _____________________
30. I am a 2-digit number. I am greater than 60 and smaller than 80. I am
divisible by 7 and 9. What number am I?
Ans: _____________________
31. Brian jogged
4 km. John jogged
5
4
1
2
km more than John. How far did they jog altogether?
Ans: _____________________
13. 32. Sabrina was at X and facing the school. She then turned 450 anti-clockwise
3 turn clockwise. Where is she facing now?
9
and made a
4
Ans: _____________________
33. If a factory produces 689 toys each day, how many toys does it produce
in 3 weeks?
Ans: _____________________
14. 34. ABCD is a square of sides 22 cm. E, F, G, H are the mid-points of each
side of the square ABCD. Find the area of EFGH.
1 0
Ans: _____________________
35. Eight teams are taking part in a football tournament. Each team played
against every other team once. How many games are played altogether?
Ans: _____________________
15. Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Leona bought one dress, one skirt and one T-shirt. The T-shirt cost $15.
The skirt cost $17 more than the T-shirt. The dress cost twice as much
as the T-shirt. How much did she spend on the three items?
1 1
Ans: _____________________
37. Jessie had $1400. If she bought 12 books at $32 each and 24 magazines
at $13 each, how much had she left?
Ans: _____________________
16. 3 of his stamps to his sister and
1 2
38. Andy gave
8
1 of them to his friends. He
4
had 720 stamps left. How many stamps did Andy have at first?
Ans: _____________________
39. Mrs. Lee had 30 boxes of cookies which contain 140 cookies each. She
repacked all the cookies into packets of 9. She sold each packet for $3
and the remaining cookies at $0.50 each. How much did she collect from
the sale of cookies altogether?
Ans: _____________________
17. 40. Jerry had a 3-litre container filled to the brim with water. He poured
2 of them are blue.
1 3
3
4
litres out and divided the remaining amount of water equally into 9
bottles. How much water was there in each bottle?
Ans: _____________________
41. Daisy has some beads.
9
1 of them are red and the
3
remaining 52 are yellow. How many more yellow beads than blue beads
does Daisy have?
Ans: _____________________
18. 42. Book store A has 40 fewer magazines than book store B. If 130
magazines are transferred from book store B to book store A, there will
be twice as many magazines in book store A as in book store B. How many
magazines are there altogether?
3 of her pocket money and saves the rest. If
1 4
Ans: _____________________
43. Every month, Annie spends
7
she spends $90 every month, how much will she save in 3 years?
Ans: _____________________
19. 44. There are 128 men at a concert. There are twice as many women as
there are men and thrice as many children as there are women. If all the
people at the concert are put into groups of 8, how many groups are
there together?
1 5
Ans: _____________________
45. Find the sum of ‹a and ‹b.
Ans: _____________________
--- End of Paper ---
20. Semestral Assessment 1 – Mock Paper 2
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. Round off the sum of 25 787 and 13 469 to the nearest hundred.
(1) 39 300 (2) 38 960
(3) 38 900 (4) 38 000
2 is the same as __________ .
42 (2) 3 +
2 (4) 3 – 1 +
1 6
( )
2. In the number 52 890, the difference in the value of digit 5 and digit 8
is _________.
(1) 3 (2) 40
(3) 4920 (4) 49 200
( )
3. The product of all the factors of 10 is _________.
(1) 10 (2) 20
(3) 50 (4) 100
( )
4. 4 +
3
(1) 3
5
3
(3) 4 x
3
2
3
( )
5. The difference between two numbers is 84. If the bigger number is 4
times the smaller number, find the sum of the two numbers.
(1) 88 (2) 112
(3) 140 (4) 164
( )
21. 6. The figure below is made up of 2 squares. What is the perimeter of the
1 ?
1 7
figure?
(1) 39 (2) 42
(3) 47 (4) 52
( )
7. What of the following is the best estimate of the angle X?
(1) 450 (2) 900
(3) 1200 (4) 2250
( )
8. How many sixths are there in 3
3
(1) 20 (2) 19
(3) 10 (4) 5
( )
9. There are 34 pupils and 4 teachers in each class. How many people are
there altogether in 20 classes?
(1) 38 (2) 80
(3) 680 (4) 760
( )
22. 10. In the figure below, how many right angles are there altogether?
(1) 4 (2) 8
(3) 10 (4) 12
1 8
( )
11. Jessie is facing north-west after making a 2250 anti-clockwise turn.
Where did she face before she made the turn?
(1) South (2) East
(3) South-east (4) South-west
( )
12. Square A and Rectangle B have the same area. The sides of Square A are
8 cm long. The breadth of Rectangle B is 4 cm. What is the perimeter of
Rectangle B?
(1) 16 cm (2) 24 cm
(3) 40 cm (4) 64 cm
( )
13. It takes John 6 seconds to cut a strip of paper into 2 equal pieces as
shown below. How long would it take for him to cut a similar strip of
paper into 10 pieces?
(1) 48 seconds (2) 54 seconds
(3) 60 seconds (4) 66 seconds
( )
23. 1 of a book on Saturday and
1 9
14. Henry read
4
2 of it on Sunday. If he read
5
50 pages on Saturday, how many pages had he left?
(1) 50 (2) 70
(3) 80 (4) 200
( )
15. At a fun fair, 9 hot dogs were sold for every 7 hamburgers sold. If 72
hot dogs were sold, how many hamburgers were sold?
(1) 8 (2) 16
(3) 56 (4) 63
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. 64 700 is 7000 more than _______________.
Ans: _____________________
17. Express 26 eighths as a mixed number.
Ans: _____________________
18. Write down the first two common multiples of 6 and 9.
Ans: _____________________
24. 3 = _________.
2 0
19.
7 of 84 is _________.
12
Ans: _____________________
20.
3 +
10
3 +
10
3 +
10
10
Express your answer in the simplest form.
Ans: _____________________
21. How many right angles does the minute hand on a clock go through if it
moves for 3 h 30 min?
Ans: _____________________
22. A number when divided by 6, has a quotient of 57 and a remainder of 4.
What is the number?
Ans: _____________________
25. 23. Complete the number pattern below.
25, 50, 77, __________, 137, 170, 205.
2 1
Ans: _____________________
24. How many pairs of parallel lines are there in the figure below?
Ans: _____________________
25. Mandy had $3570 in her bank account. She put in another $300. How
much more money must she put in if she wants to have a sum of $5000?
Ans: _____________________
26. 26. What is the product of the largest factor of 11 and the largest factor of
5 of the shapes below are shaded, how many more shapes need to be
2 2
2010?
Ans: _____________________
27. If
9
shaded?
Ans: _____________________
28. A fruit seller had 50 boxes of apples. There were 36 apples in each box.
If all the apples were sold at 9 for $2, how much money would make
from the sale of apples?
Ans: _____________________
27. 29. A farmer had chickens, ducks and pigs in his farm.
5 of them were ducks. What fraction of his animals
2 3
4 of his animals
9
were chickens and
12
were pigs?
Ans: _____________________
30. Laura paid $171 for 5 toy cars and 3 dolls. A toy car cost $7 more than a
doll. Find the cost of a toy car.
Ans: _____________________
31. Every 3 caps cost $33and every 5 T-shirts cost $60. Find the total cost
of 9 such caps and 10 such T-shirts.
Ans: _____________________
28. 32. At a fun fair, every 6th customer was given a book and every 10th
customer was given a T-shirt. What was the position of the first
customer who received both a book and a T-shirt?
2 4
Ans: _____________________
33. I am a 2-digit even number. I can be divided by both 3 and 11 without
leaving a remainder. What is the smallest possible value of me?
Ans: _____________________
34. Study the number pattern carefully. Find the missing number.
Ans: _____________________
?
158 62
10 16 4
2 6 3 2
29. 35. The figure below is made up of 3 different squares.
4 of the people are adult and the rest are children. If there
2 5
AB = 12 cm and CB = DE = 8 cm.
Find the length of EF.
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
In the zoo,
9
are 350 children, how many adults are there in the zoo?
Ans: _____________________
30. 37. In a game, there were 40 rows of children. In each row, there were
twice as many girls as boys. If there were 28 girls in each row, how many
children took part in the game?
2 6
Ans: _____________________
38. At a fun fair, the Primary Four pupils sold 25 greeting cards each. There
were 38 pupils in each of the six Primary Four classes. What was the
total number of cards sold by the pupils?
Ans: _____________________
31. 39. Jimmy has 5 times as many stickers as Ron. After Jimmy gave 96
stickers to Ron, both of them have an equal number of stickers. How
many stickers do they have altogether?
2 7
Ans: _____________________
40. Vicky has 50 more cards than Stella. Thomas has 180 cards less than the
sum of Vick’s and Stella’s cards. If Vicky, Stella, and Thomas have 2200
cards altogether, how many cards does Stella have?
Ans: _____________________
32. 41. Sam paid $7840 for 5 computers and 5 printers. Each computer cost
thrice as much as each printer. What was the cost of each computer?
1 of a day doing her homework. Kelvin took
2 8
Ans: _____________________
42. In Packet A, there are 56 marbles and
4 of them are black.
7
In Packet B, there are 72 marbles and
5 of them are black.
8
How many more black marbles are there in Packet B than in Packet A?
Ans: _____________________
43. Natalie spent
4
2 of the time
3
taken by Natalie to do his homework. How much faster is Kelvin
compared Natalie? (Take 1 day = 24 hours)
Ans: _____________________
33. 44. James earned a monthly salary of $2700. He saved
2 9
2 of his salary each
5
month for seven months, from January to July. In August, he spent
3 of
8
his savings on holidays. How much did he spend on his holidays?
Ans: _____________________
45. The figure below is made up of two squares. The area of the smaller
square is 121 cm2. What is the perimeter of the larger square?
Ans: _____________________
--- End of Paper ---
34. Semestral Assessment 1 – Mock Paper 3
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. What is the value of 5 thousands, 23 hundreds and 15 tens?
(1) 5380 (2) 7315
(3) 7450 (4) 52 315
3 0
( )
2. 20 000 more than 34 860 is __________.
(1) 54 860 (2) 36 860
(3) 32 860 (4) 14 860
( )
3. What are the common factors of 24 and 36?
(1) 1, 3, 4, 6, 8 (2) 1, 2, 3, 4, 6, 12
(3) 1, 3, 6, 9, 12 (4) 1, 4, 6, 8, 16
( )
4.
In the figure above, BC is parallel to __________.
(1) AE (2) AB
(3) CD (4) DE
( )
35. 5. The clock shows 4.30 p.m. How many
3 (2)
1 (4)
4 (2)
4 (4) 1
3 1
1 - turns will the minute hand have
4
to take to reach 7 p.m.?
(1) 12 (2) 10
(3) 6 (4) 4
( )
6. 22 x 5 is the same as __________.
(1) 20 x 5 (2) 2 x 2 x 5
(3) 2 x 5 x 11 (4) 20 x 2 x 5
( )
7. What fraction of the figure below is shaded?
(1)
8
3
5
(3)
3
1
2
( )
8. What is
4 +
9
4 +
9
4 ?
9
(1) 3
9
12
27
(3) 1
3
1
3
( )
9. Lucy has seven $50 notes and three $20 notes. She wants to buy a
camera that costs $520. How much more money does she need?
(1) $110 (2) $310
(3) $450 (4) $590
( )
36. 3 full of water. When another 135 ml of water is poured in, it
9 full. What is the capacity of the bottle?
3 2
10. Find the product of 1050 and 45.
(1) 9450 (2) 45 050
(3) 47 250 (4) 56 700
( )
11. Mr. Tan is 41 years old now. Next year, his son will be
2 of his age. How
7
old is Mr. Tan’s son now?
(1) 10 years old (2) 11 years old
(3) 12 years old (4) 13 years old
( )
12. A bottle is
5
becomes
10
(1) 45 ml (2) 150 ml
(3) 225 ml (4) 450 ml
( )
13. Jessica had 544 oranges. She packed them into boxes of 8 oranges each.
How many boxes did she need to hold all the oranges?
(1) 60 (2) 67
(3) 68 (4) 70
( )
14. Find the perimeter of the figure below.
(1) 55 cm (2) 63 cm
(3) 66 cm (4) 76 cm
( )
37. 15. Jackie and Kathy had the same amount of money. After Jackie had spent
$80, Kathy’s money was 5 times that of Jackie’s. How much money did
they have altogether at first?
(1) $100 (2) $112
(3) $120 (4) $200
3 3
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Find the sum of 14 thousands, 27 hundreds, 34 tens and 48 ones.
17. Estimate 4213 ÷ 7 rounded off to the nearest hundred.
18. 1000 ÷ 25 = x 10.
What is the missing number in the box?
Ans: _____________________
38. 19. What is the perimeter of the figure below?
3 4
Ans: _____________________
20. What is the largest possible 5-digit odd number that can be formed
using the digits 2, 4, 5, 8, and 9?
Ans: _____________________
21. The sum of all the factors of 32 is __________.
39. 3 of them are apples and the rest are
3 5
22. Arrange
1 ,
6
4
3 ,
2
1 ,
3
2 in descending order.
23. How many angles in the figure below are greater than 900?
Ans: _____________________
24. Complete the following pattern: 6, 11, 21, A, 56, 81, B.
Ans: _____________________
25. There are 96 fruits in a basket.
8
oranges. How many oranges are there in the basket?
Ans: _____________________
40. 26. The figure below is not drawn to scale. Find ‹x.
3 6
Ans: _____________________
27. Mandy bought 28 packets of candies. Each packet contains 16 candies.
She gave each of her 8 friends an equal number of candies. How many
candies did each of her friends get?
Ans: _____________________
28. Express 50 cm as a fraction of 3 m.
Ans: _____________________
41. 29. Ryan bought 4 similar jackets. Caroline bought 6 similar dresses and paid
$42 more. If each dress cost $32, how much did each jacket cost?
3 of her paper clips and had 40 paper clips left. How many
3 7
Ans: _____________________
30. Liz gave away
8
paper clips did she give away?
Ans: _____________________
31. A is a square and B is a rectangle. They have the same area. What is the
perimeter of rectangle B?
Ans: _____________________
42. 32. A leaking tap fills a tank at a rate of 350 ml every 15 minutes. How many
litres of water will there be in the tank after 3 hours?
3 8
Ans: _____________________
33. Tim is as twice as old as Ken. Next year Ken will be twice as old as Nancy.
If Nancy is 12 years old now, how old is Tim?
Ans: _____________________
34. The figure below is made up of 6 identical squares. The perimeter of the
figure is 126 cm. What is the length of each side of the square?
Ans: _____________________
43. 3 of them and packed the rest into sets
1 its length. The perimeter of the
3 9
35. Alan had 240 cookies. He sold
5
of 8. How many sets did he pack?
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
The breadth of a rectangle is
3
rectangle is 72 cm. Find its area.
Ans: _____________________
44. 37. Mr. Tan had some money. He kept $500 for himself, gave $1700 to his
wife and divided the rest equally among his three children. If each of his
children received $175, how much did Mr. Tan have at first?
4 0
Ans: _____________________
38. Cathy has some balloons. She gave Peter
1 of them, and gave Paul
4
1
12
more than what she gave Peter. If Cathy had given away 42 balloons in
total, how many balloons has she left?
Ans: _____________________
45. 39. Tim money was 3 times that of Jane. After Tim spent $500, Jane ‘s
money was double Tim’s. How much money did they have at first?
1 kg, what is the mass of the basket?
4 1
Ans: _____________________
40. A basket when fill with 15 papayas weighs 4
1 kg. If each papaya weighs
3
4
Ans: _____________________
46. 41. Michael, Tom and Joy collected 1360 stamps altogether. Michael
collected 180 stamps more than Tom and Tom collected 155 stamps more
than Joy. How many stamps did Michael collect?
4 2
Ans: _____________________
42. Box A contains 14 fifty-cent coins and Box B contains some twenty-cent
coins. If 6 coins are taken out of Box A, the value of coins in Box A is
twice the value of coins in Box B. How many coins are there in Box B?
Ans: _____________________
47. 43. There were 100 oranges in Basket A and B altogether. 20 oranges were
transferred from Basket A to Basket B and 35 oranges were
transferred from Basket B to Basket A. Now Basket A has thrice the
number of oranges in Basket B. How many oranges were there in each
basket at first?
5 of the girls were eliminated. If 15 girls
4 3
Ans: _____________________
44. An equal number of boys and girls took part in a competition. After the
first round,
4 of the boys and
5
8
remained in the competition, how many boys were eliminated?
Ans: _____________________
48. 45. One movie ticket cost $12. For every 8 tickets bought, 2 tickets were
given free. Find the total cost of all the movie tickets for a group of 53
people.
4 4
Ans: _____________________
--- End of Paper ---
49. Semestral Assessment 1 – Mock Paper 4
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. 3129 less than ____ is 70 000.
(1) 73 129 (2) 71 329
(3) 79 123 (4) 92 329
4 5
( )
2. Round off the product of 728 and 11 to the nearest ten.
(1) 8 008 (2) 8 110
(3) 8 010 (4) 6 890
( )
3. 3 ten thousands, 98 tens 70 ones is ____.
(1) 30 987 (2) 41 050
(3) 39 870 (4) 31 050
( )
4. What are the common factors of 60 and 120?
(1) 2, 3, 4, 6, 10, 12,15,20, 30, 60 (2) 1, 2, 3, 4, 5, 6, 10, 12,15,20, 30,
60
(3) 2, 3, 4, 5, 10, 12,15,20, 30, 60 (4) 1, 2, 3, 4, 5, 6, 10, 12,15,20, 30
( )
5. What is the difference between the twelfth multiple of 13 and the ninth
multiple of 9?
(1) 75 (2) 81
(3) 45 (4) 4 ( )
6. In 72 213, what is the value of the digit 7?
(1) 7000 ones (2) 7 hundreds
(3) 70 thousands (4) 700 tens
( )
50. 7. There were a number of children in the hall. The teacher could divide
the children equally without any leftovers in groups of either 5 or 9. How
many children were there?
(1) 135 (2) 305
(3) 125 (4) 215
4 6
( )
8. All factors of a given number are listed below. What are the missing
factors in the blanks?
1, ___, 5, 9, 15, ___.
(1) 3 and 54 (2) 2 and 30
(3) 3 and 60 (4) 3 and 45
( )
9. A luggage cost four times as much as a haversack. If John spent $2 510
on 2 such luggage and 2 such haversacks, how much did 1 luggage cost?
(1) $251 (2) $1 004
(3) $753 (4) $1 104
( )
10. A machine produced 8 451 toys in 9 days. If it produced the same
number of toys in a day, how many toys would the machine be able to
produce in a week?
(1) 5 573 (2) 7 357
(3) 6 573 (4) 939
( )
11. ABCD is a rectangle. What is the value of angle BAD?
(1) 50 o (2) 32o
(3) 58 o (4) 42 o
( )
51. 12. The area of a rectangular plot of land is 415 m2. If its breadth is 5 m,
find its length.
(1) 81 (2) 83
(3) 53 (4) 55 ( )
13. ABCD is a rectangle with the perimeter of 65 m. Its length is 4 times its
breadth. What is the area of the rectangle?
(1) 169 m2 (2) 766 m2
(3) 676 m2 (4) 876 m2 ( )
3 ?
4 7
14. How many fifths are there in 6
15
(1) 31 (2) 9
(3) 13 (4) 3 ( )
15. A piece of wire 204 cm long is bent into the shape of a cube. What is the
length of AB?
(1) 13 cm (2) 11 cm
(3) 17 cm (4) 15 cm ( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. What is
3 of 135?
5
Ans: _____________________
52. 17. List the first two common multiples of 27 and 126?
4 8
Ans: _____________________
18. What is the sum of 31 hundreds, 63 tens and 44 thousands?
Ans: _____________________
19. In the 51 853, what is the difference between the values of the digit 5?
Ans: _____________________
20. A box contains 9 muffins and a tin contains 6 pieces of cookies. Mrs. Yeo
wants to buy an equal number of muffins and cookies. What is the least
number of boxes of muffins and tins of cookies that Mrs. Yeo must buy?
_______ box(es) of muffins.
_______ tin(s) of cookies.
Ans: _____________________
53. 21. There were 24 girls, 25 boys and 14 teachers in a hall of a school. What
fraction of the people were students?
4 9
Ans: _____________________
22. What is the quotient of 3304÷8?
Ans: _____________________
23. ABCD is a rectangle. Find angle a.
Ans: _____________________
24. Jane works 8 hours a day. She earns $15 for every hour she works. How
much does she earn if she works for 31 days?
Ans: _____________________
25. List all the common factors of 45 and 135.
Ans: _____________________
54. 26. Round off the product of 45 and 737 to the nearest hundred.
5 0
Ans: _____________________
27. Study the pattern and fill in the missing number.
5 5440, ____, 1 320, 264, 66, 22, 11, 11.
Ans: _____________________
28. Number A is 3500 when rounded off to the nearest hundred and number
B is 8310 when rounded off to the nearest ten.
a. What is the greatest possible value of number A?
b. What is the greatest possible sum of the two numbers?
Ans: _____________________
29. Toni had a collection of stamps. He had fewer than 150. The number of
stamps he had can be divided into groups of 5 stamps or 9 stamps. What
was the greatest possible number of stamps he had?
Ans: _____________________
55. 30. Square A has the area of 144 cm2. What is the perimeter of triangle B?
6 of a book on Monday and
5 1
Ans: _____________________
31. 1
3 +
5
2 x351-
15
6 =?
8
Ans: _____________________
32. Nina read
8
1 of the book on Sunday. What
5
fraction of the book must she read to finish reading the book?
Ans: _____________________
33.
What fraction of the balls are black?
Ans: _____________________
56. 34. Find the perimeter of the figure below. (two rectangles are congruent)
5 2
Ans: _____________________
35. Name A B C D E
Hours of
working
8 5 9 12 7
$ / hour 56 30 5 16 18
The table above shows the number of working hours and remuneration
per hour of working of 5 different people. Suppose you are their boss.
What is the total money do you have to pay them?
Ans: _____________________
57. Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Ms. White had $284 more than Yani. She gave $589 to Yani. If they had
a total of $8428, how much did Ms. White have finally?
5 3
Ans: _____________________
37. A can of coke cost $0.85 less than a bottle of coke. If 9 cans of coke
and 3 bottles of coke cost $16.95, what is the cost of 11 such cans of
coke?
Ans: _____________________
38. Darryl is attending a mathematics class in a lecture theatre. He is sitting
at the fifth row from the stage. There are 5 seats to his left and 9
seats to his right. If there are 13 rows behind him, how many seats are
there in the lecture theater?
Ans: _____________________
58. 6 of his money to buy a new car. He had $356 left. How
36 liters of milk from cow B and 2 liters of
12 of what he needed in total, what was
5 4
39. John spent
8
much money did he have at first?
Ans: _____________________
40. In Uncle Tom’s farm, there were 3 cows: A, B, C. Uncle Tom got 3
1
5
liters of milk from cow A,
8
milk from cow C in order to make cheese for sale at a carnival. If the
amount of milk he had was just
15
the total amount of milk needed?
Ans: _____________________
41.
Find the area of the shaded region in the figure?
Ans: _____________________
59. 42. 13 watermelons cost as much as 104 apples. Mrs. Young bought 3
watermelons and 13 apples for $14.80. How much did an apple cost?
1 the amount of money Mary had.
5 5
Ans: _____________________
43. The amount of money Tom had was
5
They had $5562 altogether. How much money did Mary have?
Ans: _____________________
60. 44. Mr. George raises pigs and chickens on his own farm. The total number of
legs of pigs and chickens is 1126. The number of pigs is 488 less than the
number of chickens. How many chickens are there on the farm?
3 that of AB. If the perimeter of the rectangle is
5 6
Ans: _____________________
45. The length of AD is
7
1380 cm, find the area of the rectangle.
Ans: _____________________
61. Semestral Assessment 1 – Mock Paper 5
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. In the 82 352, the value of the digit 3 is ___.
(1) 3 (2) 30 ones
(3) 30 (4) 30 tens
2 (2) 1-
10 (4)
7 (2) 24
103 (4) 3
5 7
( )
2. Which is the following is an equivalent fraction of
5 ?
8
(1)
3
1
4
(3)
16
10
12
( )
3. The sum of 3
2 and
3
10 is ___.
16
(1) 4
24
13
(3)
12
7
24
( )
4. 89 184 – 15 159 = ____.
(1) 84 145 (2) 74 025
(3) 84 035 (4) 74 052
( )
5. Which of the following has the same value as 259×75?
(1) 17 325 (2) 9 452
(3) 19 525 (4) 19 425
( )
62. 6. 34 148 when rounded off to the nearest hundred is ____.
(1) 34 150 (2) 34 100
(3) 34140 (4) 34 200
5 8
( )
7. Which of the following angles is less than 90o?
(1) A (2) C
(3) B (4) D
( )
8.
x x
+
(1) 46 (2) 27
(3) 55 (4) 9
( )
9. What is the sum of 29 482 and 54 189?
(1) 83 671 (2) 83 417
(3) 83561 (4) 82 617
( )
= 729
= 55
= ?
63. 10. The figure is made up of three squares. The perimeter of the figure is
2 (2)
3 (4)
5 9
___ cm.
(1) 711 (2) 385
(3) 474 (4) 632
( )
11. John had a bottle of milk. He drank
2 in the morning and drank
8
3 of the
5
remainder in the evening. What fraction of the original amount of milk
did he have left?
(1)
5
3
10
(3) 20
3
5
( )
12. There are 345 red balloons and 335 yellow balloons. Toni mixes them
together and divides them into groups of 8. How many groups of balloons
are there?
(1) 55 (2) 77
(3) 85 (4) 75
( )
13. How many right angles are there in the figure?
(1) 2 (2) 4
(3) 1 (4) 5
( )
64. 6 0
14. ABCD is a square.
Which of the following is the right angle?
(1) HAE (2) GAD
(3) HEF (4) GEF
( )
15. 515 × 47 - 359 = ___.
(1) 24 205 (2) 23 175
(3) 23 846 (4) 23 126
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Each letter represents a different digit. The same letter represents the
same digit.
The digit A= ___ and the digit B=___.
Ans: _____________________
65. 6 1
17.
What is the area of the uncoloured section of the figure?
Ans: _____________________
18. The product of 259 and 93 is ___.
Ans: _____________________
19. The quotient of 5922 divided by 7 is ___.
Ans: _____________________
20. Which line is parallel to line AB?
Ans: _____________________
66. 7 of 356 in mixed number?
6 2
21. What is the value of
24
Ans: _____________________
22. This figure is drawn to scale. What is the value of angle a?
Ans: _____________________
23. The figure is made up of identical triangles. What fraction of the figure
is unshaded?
Ans: _____________________
67. 6 3
24. List all the factors of 126.
Ans: _____________________
1 3 + × − =
13 2
3 7
25. ?
10
5
20
Give your answer in mixed number.
Ans: _____________________
26. Which of the following number has more factors: 23, 7, 9, or 36?
Ans: _____________________
27. 19020 ÷ 30 = ___ × 2
Ans: _____________________
28. The product of the 4th and 8th multiples of 4 is ___.
Ans: _____________________
68. 29. Draw the line CB perpendicular to the line AB.
3 3 and
6 4
Ans: _____________________
30. Study the pattern below. What is the missing number?
35 640, ___, 270, 27, 3
Ans: _____________________
31. Find the difference between
35
12 . Give the answer in an
10
improper fraction.
Ans: _____________________
32. I am a 2-digit number. I am between 59 and 99. I am divisible by both 4
and 7. What number am I?
Ans: _____________________
33. The smallest 5-digit even number that can be formed with the digits:
3, 0, 7, 5, and 4 is____.
Ans: _____________________
69. 2 15 ?
1 of the remaining ribbon to Jane. He had 36 cm of ribbon
6 5
34. How many eighths are there in
10
Ans: _____________________
35. The total number of legs of pigs and chickens on a farm is 170. There are
59 chickens on that farm. How many pigs are there on the farm?
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Rudy bought some ribbon. He used 105 cm of it to wrap a present. He
then gave
3
left. How much ribbon did he have at first?
Ans: _____________________
70. 37. Xiao Yun bought 13 boxes of pens. There were 135 pens in each box. She
sold 1005 pens. How many pens were left?
6 6
Ans: _____________________
38. Mr. George bought 7 boxes of muffins at $15 each and 8 tins of cookies
at $23 each. How much did he have to pay in all?
Ans: _____________________
39. Jacky drinks 22.5 litres of milk in 9 days. How many liters of milk does
he drink in a week?
Ans: _____________________
71. 40. Sam has $140. He wants to buy a Playstation which cost $550. If he
saves $82 a month, how many months does he need to save enough money
to buy the Playstation?
1 of it to Dannie and another
6 7
Ans: _____________________
41. Jane baked a pizza. She gave
3
1 of the
8
remainder to Timmy. She kept the rest for herself.
a. How much more of the pizza did Dannie get than Timmy?
b. What fraction of the pizza did Jane keep for herself?
Ans: _____________________
72. 1 that of AB. The perimeter of the rectangle is
8 of what Toni has.
6 8
42. The length of AD is
7
944 cm. Find the area of the rectangle.
Ans: _____________________
43. I have $1280. This is
5
How much money does Toni have?
Ans: _____________________
73. 44. Toy A costs $13 less than toy B. Henry bought 3 toys B and 5 toys A, the
total cost was $239. How much does one toy A cost?
6 9
Ans: _____________________
45. Farmer Lin rears a total of 90 ducks and cows on his farm. The total
number of legs is 280. How many cows are there on his farm?
Ans: _____________________
74. Semestral Assessment 2: Mock Paper 1
Duration: 1 hr 45 min
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. 57 thousands and 19 tens is the same as __________ .
(1) 5719 (2) 57190
(3) 57019 (4) 58900
2 (2) 10
21 (4)
7 0
( )
2. How many eighths are there in 4 wholes?
(1) 32 (2) 16
(3) 8 (4) 4
( )
3. 5 tens + 7 thousandths = _________ .
(1) 0.57 (2) 5.7
(3) 5.007 (4) 50.007
( )
4. How many tenths are there in 60.6?
(1) 6 (2) 60
(3) 606 (4) 6060
( )
5. Which of the following is a multiple of both 8 and 14?
(1) 22 (2) 28
(3) 32 (4) 56
( )
6. What is the missing fraction?
85.48 = 80 + 5 +
2 +
5
(1) 25
4
(3) 50
3 ( )
5
75. 7 (2) 20
1 (4)
7 1
7. 30 x 6 x 20 = ___________.
(1) 150 (2) 200
(3) 3600 (4) 30620
( )
8. 4 kg 56 g of rice is packed into 6 packets. What is the mass of each
packet in grams?
(1) 76 g (2) 676 g
(3) 751 g (4) 760 g
( )
9. Find the value of
1
5
8 −
15
(1) 10
9
(3)
5
1
3
( )
10. Write 4
7 as a decimal.
40
(1) 4.175 (2) 4.130
(3) 4.012 (4) 4.740
( )
11. The perimeter of the rectangle below is 48 cm. If its length is twice its
breadth, find the area of the shaded part.
(1) 24 cm2 (2) 48 cm2
(3) 64 cm2 (4) 128 cm2
( )
12. The minute hand of a clock moved from 8:15 a.m. to 9.00 a.m. How many
degrees did the minute hand move through?
(1) 45 (2) 90
(3) 180 (4) 270
( )
76. 13. Look at the following shapes. How many shapes have both parallel and
7 2
perpendicular lines?
(1) 1 (2) 2
(3) 3 (4) 4
( )
14. The length of a pole is 160 cm. 8
5 of it is buried underground. What is
the length of the pole above ground?
(1) 20 cm (2) 60 cm
(3) 80 cm (4) 120 cm
( )
15. Ryan had $18 more than Jane. After their mother gave each of them
$12, they had $90 altogether. How much did Ryan have at first?
(1) $24 (2) $36
(3) $42 (4) $48
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. 40 585 = 40 000 + __________ + 80 + 5.
Ans: _____________________
77. 17. Round 85844 off to the nearest hundreds.
7 3
Ans: _____________________
18. Use the digits 4, 7, 9, 3, and 6 to form the smallest 5-digit even number.
Ans: _____________________
19. 9.78 + 2.83 = __________ .
Ans: _____________________
20. Find the value of 5097 x 8.
Ans: _____________________
78. 21. 400 children took part in an international competition. There was an
1 of the girls have black hair. How many
20 as a mixed number in the simplest form.
7 4
equal number of girls and boys.
4
girls do not have black hair?
Ans: _____________________
22. Write
9
Ans: _____________________
23. Name the pair of parallel lines in the figure below.
A B
D
Ans: _____________________
E C
79. 24. What is the value of A in decimal?
7 5
Ans: _____________________
25. Brad is 1.75 m tall. He is 16 cm taller than Katie. What is Katie’s height in
metres?
Ans: _____________________
26. A square has an area of 64 m2. The perimeter of a rectangle is twice the
perimeter of the square. What is the perimeter of the rectangle?
Ans: _____________________
27. Write 9 hundredths as a decimal.
Ans: _____________________
0.6 A 0.8
80. 28. Trees were planted along Handy Road. The first tree was planted at one
end of the road. The distance between any two trees was 9 m. The
length of the road was 531 m. How many trees were planted?
7 6
Ans: _____________________
29. Arrange the following decimals in descending order.
0.235, 2.032, 0.245, 0.198, 2.35
30. What fraction of figure below is shaded?
Ans: _____________________
31. Harry went from Singapore to Kuala Lumpur by bus. He arrived at Kuala
Lumpur at 2.15 a.m. and the trip was 5
1 hours long. At what time did he
3
start the trip?
Ans: _____________________
81. 32. I am an odd number. I am greater than 60 and smaller than 70. One of
my factors is 7. What number am I?
7 7
Ans: _____________________
33. Jessica spent $122.25 on 5 skirts. How much did each skirt cost?
Ans: _____________________
34. Find the area of the figure below.
Ans: _____________________
2 cm
4 cm
4 cm
6 cm 6 cm
1 cm
82. 35. Angela packed 648 cookies into 9 boxes. She then shared two boxes of
cookies equally with her mother, father and sister. How many cookies did
each of them get from Angela?
7 8
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Mrs. Lee sold 236 oranges on Saturday. This was 88 fewer than the
apples sold on the same day. On Sunday, she sold half of all the fruits
sold on Saturday. How many fruits did she sell in the two days?
Ans: _____________________
37. Jack is 9 years old. His mother is 30 years older than him. In how many
years’ time will his mother’s age be thrice his age?
Ans: _____________________
83. 38. Mary has 780 stickers. John has twice as many stickers as Mary. How
many stickers must John give Mary so that they will have the same
number of stickers?
1 full of water. After 40 litres of water were added to the
3 full. How much water is needed to fill up the whole
7 9
Ans: _____________________
39. Lana bought 6 kg of sugar. She had 2.24 kg left after using the sugar
for baking 8 cakes. How much sugar did she use for each cake? (Give the
answer in kg.)
Ans: _____________________
40. A pail was
8
pail, it became
4
pail?
Ans: _____________________
84. 1 of a book on Monday and
8 0
41. Kate read
5
7 of the book on Tuesday. After
15
that, 40 pages were unread. How many pages were there in the book?
Ans: _____________________
42. There 30 chickens and pigs in a farm. There are 84 legs altogether. How
many chickens are there in the farm?
Ans: _____________________
43. The figure below is not drawn to scale. Find the value of angle X.
Ans: _____________________
70
X X
85. 44. The total cost of 3 skirts and 5 dresses is $160.
The total cost of 9 skirts and 13 dresses is $434.
What is the cost of a dress?
8 1
Ans: _____________________
45. The rectangle is made up of 3 identical rectangles. The perimeter of the
large rectangle is 90 cm. Find the area of each small rectangle.
Ans: _____________________
--- End of Paper ---
86. Semestral Assessment 2: Mock Paper 2
Duration: 1 hr 45 min
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. In which of the following numbers does the digit 5 stand for 5000?
(1) 35 470 (2) 92 548
(3) 62 050 (4) 40 005
1 (2)
3 (4)
8 2
( )
2. 20 thousands, 35 hundreds, and eight is the same as __________ .
(1) 20358 (2) 20430
(3) 23508 (4) 23580
( )
3. 1.55 x 6 = __________ .
(1) 6.55 (2) 7.55
(3) 9.3 (4) 10.3
( )
4. Which of the following numbers is the factor of both 40 and 60?
(1) 20 (2) 30
(3) 40 (4) 60
( )
5. What fraction of the shapes below are ?
(1)
5
2
5
(3)
10
1
10
( )
87. 6. In which of the following sets are the numbers arranged from the
greatest to the smallest?
(1) 2045, 2405, 2504, 2540 (2) 2450, 2405, 2504, 2054
(3) 2504, 2450, 2504, 2540 (4) 2540, 2504, 2405, 2045
9 . What is the number in “?” ?
8 3
( )
7. 7.009 = 7 +
?
(1) 1 (2) 10
(3) 100 (4) 1000
( )
8. How many right angles has the minute hand through if it moved from
4.30 p.m. to 6.15 p.m.?
(1) 5 (2) 7
(3) 8 (4) 9
( )
9. When rounded off the nearest $1000, Mr. Tan has $50 000. How much
money does Mr. Tan have?
(1) 49 000 (2) 49 499
(3) 49 500 (4) 50 500
( )
10. The perimeter of a rectangle is 128 cm. Its length is thrice its breadth.
What is the length of the rectangle?
(1) 16 cm (2) 48 cm
(3) 64 cm (4) 96 cm
( )
11. What is the product of the 2 largest factors of 32?
(1) 32 (2) 64
(3) 128 (4) 512
( )
12. A theatre has 420 seats. 4 out of every 7 seats are occupied. How many
seats are unoccupied?
(1) 60 (2) 105
(3) 180 (4) 240
( )
88. 13. Mrs. Tan sold some bags of fruits. There were 8 apples and 5 oranges in
each bag. How many oranges did he sell if he sold a total of 195 fruits?
(1) 39 (2) 75
(3) 120 (4) 975
3 of them were children.
8 4
( )
14. Which is the best estimate for the product 67 x 552?
(1) 60 x 550 (2) 60 x 560
(3) 70 x 550 (4) 70 x 560
( )
15. There were 900 people at the zoo.
5
1 of the
3
children were primary pupils. How many primary pupils were there at the
zoo?
(1) 180 (2) 300
(3) 540 (4) 720
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Subtract 8649 from 15729.
Ans: _____________________
17. There is a row of pupils. Mandy stands in the middle of the row. There
are 12 girls on her left and 15 boys on her right. How many pupils are
there in the row?
Ans: _____________________
89. 18. What is the lowest common multiple of 5 and 9?
8 5
Ans: _____________________
19. Divide 353 by 8. Round off the decimal answer to 2 decimal places.
Ans: _____________________
20. Find the value of
3 + 1
.
4
16
Ans: _____________________
21. Arrange the following fractions from the smallest to the greatest.
,15
18
18
7
, 7
9
Ans: _____________________
22. Ben bought some paper clippers. He gave
3 of them to Dennis. If Ben
8
gave Dennis 105 paper clips, and kept the rest for himself, how many
paper clippers did Ben have at first?
Ans: _____________________
90. 2 and 0.8?
2 kg lighter than the watermelon. What is the
8 6
23. What is the difference between 1
3
Ans: _____________________
24.
+ = 76
– = 28
What is the value of ?
Ans: _____________________
25. The rectangle below is not drawn to scale. Find x.
x 290
Ans: _____________________
26. Annie bought a watermelon and a papaya. The mass of the watermelon is
1 kg. The papaya is 1
3
3
3
total mass of the two fruits?
Ans: _____________________
91. 27. Write 1.45 as a fraction in its simplest form.
8 7
A
B C
D
E
Ans: _____________________
28. How many times does the digit “8” appear from 70 to 90?
Ans: _____________________
29. Roshan’s age this year is greater than 30 and smaller than 50. His age is
a multiple of 8 now. Two years later, his age will be a multiple of 7. How
old is he now?
Ans: _____________________
30. It takes James 1 hour 15 minutes to travel from home to school. He
reached school at 12.10 p.m. What time did he leave home?
Ans: _____________________
31. The figure below is not drawn to scale. All lines are straight. Name one
pair of parallel lines from the figure.
Ans: _____________________
92. 32. John and Kathy had the same amount of money. After John spent $40
and Kathy spent $14, the amount of money Kathy had left was twice the
amount of John had left. How much did each of them have at first?
8 8
Ans: _____________________
33. A square piece of paper has a perimeter of 52 cm. Jenny want to cut out
rectangles from it. Each rectangle has a breadth of 3 cm and a length
that is twice its breadth. What is the maximum number of rectangles
that can be cut out from it?
Ans: _____________________
34. Mary cut a string into two pieces. She bent them to the rectangle and
the square below. The area of the square is equal to the area of the
rectangle. Find the perimeter of the rectangle.
24 cm 36 cm
Ans: _____________________
93. 35. Kim bought a pair of shoes for $32 and had
3 of the beads in the box are blue. 0.5 of them are green. The rest are
red ones. If there are 40 fewer red beads than blue ones, how many
beads are there in the box?
8 9
5 of her money left. How
13
much money did she have at first?
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Mrs. Ho took 12 pupils to watch a movie. She paid $95 for the movie
tickets altogether. If the ticket for each pupil costs $7, how much did
the movie ticket for Mrs. Ho cost?
Ans: _____________________
37.
8
Ans: _____________________
94. 38. Luna has 4 times as many stamps as George. George has twice as many
stamps as Tim. They have 880 stamps altogether. How many stamps does
Luna have?
9 0
Ans: _____________________
39. Tim thought of a number. When he divided it by 8 and added 4.65 to the
quotient, he got 23.65. Find the number.
Ans: _____________________
40. 3 identical car toys and 7 similar dolls cost $544 altogether. If a car toy
cost thrice as much as a doll, find the total cost of a car toy and a doll.
Ans: _____________________
95. 41. Jenifer, Liz and Daniel had $635 together. Jenifer spent
9 1
1 of her
4
money and Liz spent thrice the amount Jenifer spent. Daniel spent $50.
If they had the same amount of money left, how much did Liz have at
first?
Ans: _____________________
42. Given that ‹a is twice ‹b. Find ‹a.
Ans: _____________________
720
b
a
96. 43. Daisy bought 18 magazines at $12 each and had $15 left. During a fun
fair, the magazine cost $3 less than the original. How many more
magazines could Daisy buy with the original amount of money?
9 2
Ans: _____________________
44. Carol had some stickers to give to her friends. If she gave each friend 7
stickers, she would have 5 stickers left over. If she gave each friend 9
stickers, she would need 7 more stickers. How many stickers did Carol
have?
Ans: _____________________
97. 45. Jerry spent $14.40 each day from Monday to Wednesday, $25.80 on
Thursday and $32.60 each day from Friday to Sunday. How much did he
have at first if he had $50 left?
9 3
Ans: _____________________
98. Semestral Assessment 2: Mock Paper 3
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. What is the value of 7 in 70 963?
(1) 70 000 (2) 7000
(3) 700 (4) 70
9 4
( )
2. The digit “3” in 67.038 stands for 3 ____________.
(1) hundreds (2) tenths
(3) hundredths (4) thousandths
( )
3. Express
6 4 as a decimal.
16
(1) 6.4 (2) 6.16
(3) 6.25 (4) 6.025
( )
4. In the figure, which angle is greater than a right angle?
(1) ‹a (2) ‹b
(3) ‹c (4) ‹d
( )
5. Which one of the following number is 74 600 when rounded off to the
nearest ten?
(1) 74 584 (2) 74 595
(3) 74 608 (4) 74 692
( )
99. 6. Find the sum of all the factors of 32 that are multiples of 4.
(1) 24 (2) 28
(3) 60 (4) 64
2 (2)
4 (4)
1 (2) 5
1 (4)
1 hours to travel from Brian’s house to city town by bus. If he
1 hours. How much longer does it take by bus
3 hr (2) 1
3 hr (4) 3
9 5
( )
7. Which of the following fractions is in its simplest form?
(1)
8
3
7
(3)
12
6
16
( )
8. What is the fraction of the shaded part in the figure below?
(1)
3
2
(3)
4
1
2
( )
9. Which one of the following figures contains both parallel and
perpendicular lines?
(1)
(2)
(3) (4) ( )
10. Katie wants to buy a dress that costs $29.55 but she only has $17.90.
How much more money does she need?
(1) $2.70 (2) $11.65
(3) $12.55 (4) $12.65
( )
11. It takes 2
4
goes by car, it takes 1
2
than by car?
(1)
4
1 hr
4
(3) 1
4
3 hr ( )
4
100. 12. Which line is the line of symmetry of the figure?
(1) AB (2) CD
(3) EF (4) GH
9 6
( )
13. Lim has $142. If he gives $ 34 to his brother, they will have the same
amount of money. How much does Lim’s brother have at first?
(1) $176 (2) $125
(3) $108 (4) $74
( )
14. ABCD is square. Given ECB = 180. Find ACE.
A E B
C D
(1) 22.50 (2) 270
(3) 450 (4) 90
( )
15. Cheryl cut a cake to 16 slides. She ate 4 slides and her sister ate
1 of
4
the remaining cake. How many slides did her sister eat?
(1) 3 (2) 4
(3) 9 (4) 12
( )
101. Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. What is the missing number in the blank?
48 059 = 40 000 + __________ + 50 + 7.
17. Fill in the blanks with the correct number in the number pattern below.
1225, 1190, 1155, __________, 1085.
18. Arrange the following in descending order.
9 7
2
3
1 0.532 0.452
2
Ans: _____________________
19. Write
5 5 as a fraction.
12
Ans: _____________________
102. 20. The figure below is drawn to scale. What is the value of x?
9 8
Ans: _____________________
21. Round 33 985 off to the nearest hundred.
Ans: _____________________
22. A stack of 10 one-dollar coins has a height of 3.4 cm. what’s the height
of a stack of 4 one-dollar coins? Round off your answer to 1 decimal
place.
Ans: _____________________
23.
11 -
12
3 = _________.
8
Ans: _____________________
24. What is the highest common factor of 16 and 24?
Ans: _____________________
103. 25. Amanda bought 3 pencils and 1 pen for $11.5. The pen cost $1.5 more
than the pencil. How much did the pen cost?
9 9
Ans: _____________________
26. Frank’s salary was $3300. He spent
5 of his money and gave his wife
12
$1500. How much had he left?
Ans: _____________________
27. In the figure below, AD is parallel to (a) __________ and perpendicular
to (b) __________.
Ans: _____________________
104. 28. There are 11 quarters and 14 eighths in a fraction. How many halves are
10 0
there in the fraction?
Ans: _____________________
29. 2 bags of mangos and 5 bags of oranges cost $29. If each bag of
oranges cost $4 less than each bag of mangos, find the cost of a bag of
mango.
Ans: _____________________
30. A rectangular piece of paper is folded as shown below. Find the area of
the original piece of paper.
Ans: _____________________
105. 1 of her cookies in the morning and
10 1
31. Mrs. Lee sold
3
1 of them in the
4
afternoon. She sold 140 cookies. How many cookies had she left?
Ans: _____________________
32. Fancy cut a wire into two pieces. She bent them to form a rectangle and
a square. The length of the square is 8 cm and it is twice the breadth of
the rectangle. The area of the square is the same as the area of the
rectangle. Find the perimeter of the rectangle.
Ans: _____________________
33. Mary is facing the book store. She turns 2250 anti-clockwise. What is
she facing?
Ans: _____________________
106. 34. The figure below is not drawn to scale. ABCD is a rectangle. Find ‹CDE
10 2
and ‹ABG
Ans: _____________________
35. Ross saved $50 in the first month, $100 in the second month, $150 in
the third month and so forth. Following this pattern, the amount of
money he saved in the last month will be $300. How much money did he
save in all?
Ans: _____________________
107. Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
Tim bought a shirt, a belt and a pair of socks from a store. The shirt
cost 6 times as much as the socks. The belt cost $7.55 more than the
socks. If the socks cost $3.75, how much did Tim pay altogether?
10 3
Ans: _____________________
37. Andy bought an equal number of bowls and spoons with $320. Each bowl
cost $2 more than a spoon and a spoon cost $4. How many more did he
spend on the bowls than on the spoons?
Ans: _____________________
108. 38. Leona had some cards. After giving 86 cards to Jimmy, they had the
same number of cards. If Jimmy had 49 cards at first, how many cards
did Leona have at first?
4 of her money at the shopping
1 of it at the spa. How much money did she have left?
10 4
Ans: _____________________
39. Sam had $450 at first. She spent
9
center and
3
Ans: _____________________
109. 40. There are 350 marbles in the box.
2 of the marbles are blue, and
5
1 of the red marbles are removed, how many beads will be left in
10 5
2 of
7
the marbles are red. The rest are green ones. If
3 of the blue marbles
7
and
4
the box?
Ans: _____________________
41. The figure below is made up of 2 squares. The length of the bigger
square is thrice the length of the smaller square. Find the area of the
figure.
Ans: _____________________
110. 42. Ribbon A is 15 cm shorter than ribbon B.
10 6
3 of ribbon A is equal to
4
1 of
3
ribbon B. What is the length of ribbon B?
Ans: _____________________
43. Mandy’s money was 5 times Nancy’s at first. After Mandy gave $72 to
Nancy, Mandy had the same amount of money as Nancy. How much money
did Mandy have at first?
Ans: _____________________
44. Carla bought a pair of shoes, a dress and a wallet for $210 together. The
shoes cost $25 more than the dress and the wallet cost $19 less than
the dress. What was the cost of the wallet?
Ans: _____________________
111. 45. The figure below is made up of 2 squares and 2 rectangles A and B. Find
10 7
the area of the figure.
Ans: _____________________
112. Semestral Assessment 2: Mock Paper 4
Duration: 1 hr 45 min
Marks
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. 55 thousands and 8 tens are the same as __________.
(1) 558 (2) 5580
(3) 55080 (4) 55800
2 1 x 8 =
10 8
( )
2. How many lines of symmetry are there in the figure below?
(1) 1 (2) 3
(3) 5 (4) 10
( )
3. Fill the missing number in the “?”:
8
? .
2
(1) 17 (2) 34
(3) 68 (4) 136
( )
4. What is 134.95 when is rounded off to 1 decimal place?
(1) 135.0 (2) 135.9
(3) 134.0 (4) 134.9
( )
113. 5. How many minutes are there in 6 h 45 min?
(1) 645 (2) 405
(3) 360 (4) 285
3 of 1 minute? Give your answer in seconds.
10 9
( )
6. Find the difference between 26.96 and 5.88. Round off your answer to
the nearest tenth.
(1) 2.08 (2) 20.0
(3) 21.0 (4) 21.1
( )
7. Which of the lines is parallel to AB?
A B
C D
(1) CD (2) AC
(3) BC (4) AD
( )
8. What is
5
(1) 12 s (2) 36 s
(3) 60 s (4) 72 s
( )
9. Tom has 2 twenty-cent coins and 5 fifty-cent coins. He put some coins in
the donation tin. How much money could he have donated?
(1) $1.60 (2) $2.10
(3) $2.30 (4) $2.70
( )
10. Lim studied for a test from 21:50 to 1:45 the next day. How long did he
study?
(1) 2 h 55 min (2) 3 h 50 min
(3) 3 h 55 min (4) 4 h 55 min
( )
114. 11. A number is 600 when rounded off to the nearest hundred. Another
number is 900 when rounded off to the nearest hundred. What is the
smallest possible sum of the two numbers?
(1) 1250 (2) 1400
(3) 1560 (4) 1620
5 hr to go to school from home by bus. How many seconds
11 0
( )
12. Laura took
12
did she take?
(1) 25 s (2) 60 s
(3) 300 s (4) 1500 s
( )
13. Tom faced northeast after a 2250 clockwise turn. What direction was he
facing before the turn?
(1) South (2) West
(3) Southeast (4) Southwest
( )
14. ABCD is a rectangle and AEF is a right triangle. If BAE = 520, find
FAC.
(1) 380 (2) 450
(3) 520 (4) 1420
( )
A
C
B
F
E
D
F
115. 15. The figure below is not drawn to scale. Find the perimeter of the figure.
(1) 46 cm (2) 49 cm
(3) 51 cm (4) 58 cm
11 1
( )
Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Find the value of 1 -
1 -
4
3 .
8
Ans: _____________________
17. Write 4.45 as a fraction in the simplest form.
Ans: _____________________
18. Write fourteen thousand and seventy-nine in figures.
Ans: _____________________
19. Find the value of 8.46 x 7.
Ans: _____________________
116. 11 2
20. Express
49 as a decimal.
100
Ans: _____________________
21. 23.4 – 6.79 = _________.
Ans: _____________________
22. Arrange the following numbers in ascending order
0.507, 0.057, 0.705, 0.075
Ans: _____________________
23. What is the lowest common multiple of 6 and 8?
Ans: _____________________
24. Each of the symbols below represent a different number.
+ + + = 55
+ + = 39
x = 64
What number does represent?
Ans: _____________________
117. 25. A piece of cloth is in red and orange. The red part is 0.75 m long and the
orange part is 0.58 m longer than the red part. Find the length of the
piece of cloth.
11 3
Ans: _____________________
26. Anna bought 7 erasers at $2.25 each. She paid the cashier 2 ten-dollar
notes. How much change did she get?
Ans: _____________________
27. Cheryl, May and Lily spent $1380 altogether. Cheryl spent thrice as
much as May spent and May spent half of what Lily spent. How much
money did Cheryl spend?
Ans: _____________________
28. Jenny started doing her part time job at 10:15 and finished at 16:30.
Her tea break was 45 minutes long. How much time did she spend doing
her job?
Ans: _____________________
118. 29. The figure below is made up of 2 rectangles and a square. Find the
11 4
perimeter of the figure.
Ans: _____________________
30. The figure below is not drawn to scale. Find ‹x.
Ans: _____________________
31. The minute hand of a clock moved from 4.25 p.m. to 4.40 p.m. What was
the angle moved by the minute hand?
Ans: _____________________
119. 32. Liz spent half of her money on clothes and 0.2 of that amount on food.
Then she spent the rest of her money on 3 books. If each book cost
$29.90, how much did Liz spend on clothes?
1 DC, find the perimeter of ABCD.
11 5
Ans: _____________________
33. The figure below shows the square DFEG and the rectangle ABCD. Given
that DF =
2 DA and DG =
3
2
Ans: _____________________
34. Jason earns $38.5 a day from his part time job. He spends $29.5 a day
and saves the rest. If he wishes to buy some CDs that cost $16.5 and a
watch that costs $49.9, at least how many days does he need to save to
buy both of them?
Ans: _____________________
120. 35. Sara’s watch is 45 minutes faster than the actual time. She wants to
meet her friend at 7 p.m. It takes her 40 minutes to get from her house
to the meeting place. What time is shown on Sara’s watch when she
leaves her house? Given that she leaves the house just to arrive the
punctually to meet her friend.
4 of what Laura has. If John has $1396, how much does Laura
11 6
Ans: _____________________
Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
John has
9
have?
Ans: _____________________
121. 37. Mary’s money was twice that of Fred’s. After Mary received $12 and
Fred received $25 from their parents, they had the same amount of
money. How much money did they have together at first?
1 as much as a pair of jeans, find out the cost of a pair of
11 7
Ans: _____________________
38. Jane bought 2 identical pairs of jeans and 5 identical shirts for $216. If
a shirt cost
2
jeans.
Ans: _____________________
39. Rectangle A and square B have the same perimeter. The side of the
square is 13 cm. The length of the rectangle is 4 cm longer than the side
of the square. Find the area of the rectangle.
Ans: _____________________
122. 40. Taylor and Jane had the same number of paper clips. After Taylor gave
48 paper clips to Jane, Jane had 4 times as many paper clips as Taylor.
How many paper clips did Taylor have at first?
11 8
Ans: _____________________
41. In the square below, the area of the shaded region is 33 m2. Find the
length of the square.
Ans: _____________________
42. The usual price of box of biscuits is $4.25 and a box of oranges cost
$2.70. Daisy paid a total $23.89 for 5 boxes of biscuits and 3 boxes of
oranges. How much money did she save?
Ans: _____________________
123. 43. Jenifer mixed 4 bottles of water with 0.45 litres mango syrup to make
mango juice. Each bottle contained 900 ml. She then poured equal
amount of the mixture into 9 identical glasses. How many litres of
mango juice were there in each glass?
11 9
Ans: _____________________
44. John bought 2 umbrellas, 8 pens and 4 erasers for $35. The cost of 2
pens and 1 eraser was $3.80. How much did 1 umbrella cost?
Ans: _____________________
124. 45. The figure below is not drawn to scale. Jia Lin pasted a rectangle picture
on a cardboard measuring by 48 cm x 80 cm. He left a 4cm border all
around the picture. What is the area of the cardboard not covered by
the picture?
12 0
Ans: _____________________
125. Semestral Assessment 2- Mock Paper 5
Duration: 1 hr 45 min
Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks
each. For each question, write the number corresponding to the correct option in
the bracket provided.
1. In which of the following numbers does the digit 7 stand for 70?
(1) 35 070 (2) 48 703
(3) 67 094 (4) 70 658
3 (2)
3 of 1 kg? Give your answer in grams.
12 1
( )
2. What is the missing number represented by “?” ?
50.070 = 50 +
7
?
(1) 1 (2) 10
(3) 100 (4) 1000
( )
3. How many sevenths are there in 3 wholes?
(1)
7
7
3
(3) 7 (4) 21
( )
4. What is
4
(1) 750 g (2) 75 g
(3) 7.5 g (4) 0.75 g
( )
5. Which one of the following is a factor of both 16 and 40?
(1) 56 (2) 24
(3) 16 (4) 8
( )
126. 6. Which line is parallel with CD in the figure below?
(1) AB (2) BE
(3) AE (4) BD
1 (2)
5 (4)
1 of the pizza and gave
1 of the remainder to her friend.
1 (2)
3 (4)
12 2
( )
7. A square has an area of 49 cm2. Find its perimeter.
(1) 14 cm (2) 21 cm
(3) 28 cm (4) 49 cm
( )
8. Find the value of
11 − 1
.
6
18
(1)
2
4
9
(3)
9
5
6
( )
9. Mary ate
4
3
What fraction of the pizza was left?
(1)
2
2
3
(3)
4
5
12
( )
10. Vanessa went to her school at 8:30 and left at 16:15 on the same day.
How long was she at school?
(1) 7 h 15 min (2) 7 h 45 min
(3) 8 h 15 min (4) 8 h 45 min
( )
127. 11. Which one of these figures is a symmetric figure ?
(1)
(2)
(3)
(4)
12 3
( )
12. Find the sum of all the factors of 32 that are multiples of 4.
(1) 20 (2) 28
(3) 60 (4) 64
( )
13. Find the missing number in the box.
120 x 89 = 125 x 89 + 15 x 89 - x 89
(1) 260 (2) 20
(3) 10 (4) 5
( )
14. Cherry has a rectangle cardboard which measures 29 cm by 18 cm. She
wants to cut out as many small rectangular pieces as she can from it.
Each small rectangular piece is measured by 6 cm x 4 cm. What is the
maximum number of small rectangular pieces that she can get?
(1) 24 (2) 18
(3) 16 (4) 8
( )
15. Justin has $21 more than Ariel. After their mother gave each of them
$12, both of them have $83 together. How much money did Justin have
at first?
(1) $19 (2) $38
(3) $40 (4) $52
( )
128. Questions 16 to 35 carry 2 marks each. Write your answers in the spaces
provided. For questions which require units, give your answers in the units stated.
16. Using the digits 2, 4, 5, 8, 9 to form the greatest 5-digit odd number.
20 as a mixed number in its simplest form.
5 and 0.5?
12 4
Ans: _____________________
17. Round off 25 890 to the nearest hundred.
Ans: _____________________
18. 26.5 – 8.69 = _________.
Ans: _____________________
19. Write
6
Ans: _____________________
20. Write 9 hundredths as a decimal.
Ans: _____________________
21. What is the difference between
8
Ans: _____________________
129. 22. Arrange the following numbers from the smallest to the greatest.
1 hr to go to school from home. How many seconds did he
12 5
0.4068, 0.0468, 0.0648, 0.864
Ans: _____________________
23. Find the value of 1+
7 +
10
1 .
2
Ans: _____________________
24. There are 458 people at a concert. There are 80 more women than men.
How many women are there at the concert?
Ans: _____________________
25. Dennis took
5
take?
Ans: _____________________
130. 26. The figure below is drawn to scale. Measure and write down the size of
12 6
‹X.
Ans: _____________________
27. Jessie spent $60 on a watch and had
4 of money left. How much money
9
did she have at first?
Ans: _____________________
28. Elaine bought 6 cakes for $128.34. How much did each cake cost? Round
off your answer to 1 decimal place.
Ans: _____________________
131. 29. Find the area of unshaded region in the figure below.
12 7
Ans: _____________________
30. + = 68
- = 26
What is the value of ?
Ans: _____________________
31. A bag of 5 oranges cost $2.70 while an orange cost $0.60. If Darwin
wants to buy exactly 18 oranges, what is the minimum amount of money
he has to pay?
Ans: _____________________
132. 32. Find the number missing in “?” in the figure below.
1 of the figure below were to be shaded, what fraction of
12 8
Ans: _____________________
33. If another
4
the whole figure would be shaded? Give your answer in its simplest form.
Ans: _____________________
133. 34. Mr. Tan wants to plant trees of 6 m apart on all sides of his rectangle
garden. The length of the garden is 60m and the breadth of the garden
is 30m. How many trees does Mr. Tan need?
12 9
Ans: _____________________
35. Daniel is standing at point marked X and facing MRT station. What will
he face if he turns 2700 clockwise?
Ans: _____________________
134. Questions 36 to 45 carry 4 marks each. Show your working clearly in the space
below each question and write your answers in the spaces provided.
36.
The area of the square ABCD is 121 cm2 and the area of the shaded
square is 16 cm2. Given CE = FD, find the length of CE.
13 0
Ans: _____________________
37. Box A is 5.7 kg heavier than box B. Box B is 3.8 kg heavier than box C. If
box A is 28 kg, what is the total mass of 3 boxes?
Ans: _____________________
135. 38. Jason had $840 at first. He spent
1 of the money at the book store and
4
2 of the remainder to his mother. How much money had he left?
6 of Carol’s savings. Laura saves $60
13 1
gave
3
Ans: _____________________
39.
3 of Laura’s savings is equal to
4
7
more than Carol. How much do they save together?
Ans: _____________________
136. 40. The figure below is made up of 3 identical rectangles. The perimeter of
the figure is 200 cm. Find the area of the figure.
13 2
Ans: _____________________
41. Andrew and Allan had a total of 89 stickers at first. After Andrew
bought 35 more stickers and Allan lost 18 stickers, Andrew now have 8
more stickers than Allan.
How many stickers did Andrew have at first?
Ans: _____________________
137. 42. A bike has 2 wheels and a car has 4 wheels. There are 18 bikes and cars
altogether. There are 52 wheels together. How many bikes are there?
13 3
Ans: _____________________
43. All the figures below are squares. Study this pattern carefully.
Figure 1 Figure 2 Figure 3
Figure 2 are divided into 4 small squares and figure 3 are divided into 16
small squares. How many small squares are divided in figure 5?
Ans: _____________________
138. 44. The parking charges at ABC car park is $2.5 for the first hour and
$0.65 for every subsequent 30 min everyday. Mr. Lee parked his car at
the car park from 11.30 a.m. to 3pm on Saturday and Sunday. How much
did he pay together?
13 4
Ans: _____________________
45. Paul took 3 h 50 min to do his homework. Tom started to do his
homework at 19:35 and finished at 22:00. Jimmy took
1 of the total time
3
taken by both Paul and Tom to do his homework. How long did Jimmy take
to complete his homework?
Ans: _____________________
139. Answers to Semestral Assessment 1 – Mock Paper 1
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
3 4 3 4 2 3 3 2 4 2 1 4 1 2 3
16) 14 075 17) 4 18) 1860 19) 3085 20)
5 , , , 22) 4 23) 2700 24)
2 28) $725 29) A = 7, B = 5 30) 63
13 5
4 1
4
3
1
4
21) 12
9
2
5
213 25) 108
15
26) $230 27)
3
31) 32/5 km 32) Lab 33) 14 469 34) 242 cm2 35) 28 games
36) The skirt cost $15 + $17 = $32.
$15 x 2 = $32, The dress cost $32.
$15 + $32 + $32 = $77
Leona spent $77 on the 3 things.
37) 12 x $32 = $384
24 x $13 = $312
$1400 - $384 - $312 = $704
She had $704 left.
5
3 + 1
=
38) 8
4
8
1− 5 =
3
8
8
720 ÷ 3 = 240
240 x 8 = 1920
Andy had 1920 stamps at first.
39) Mr. Lee had 140 x 30 = 4200 cookies.
4200 ÷ 9 = 466 remainder 6
$466 x 3 = $1398
$0.50 x 6 = $3
$1398 + $3 = $1401
She collected $1401 from the sale.
40) 3 - 4 3
1 l = 2250 ml
= 2 4
2250 ÷ 9 = 250 ml
Each bottle contains 250 ml.
1− =
2 + = , 9
41) 1
9 9
5
3
4
9 5
52 ÷ 4 = 13, 13 x 9 = 117
Daisy has 117 beads.
9
2 x 117 = 26, There are 26 blue beads.
52 – 26 = 26
There are 26 more blue beads than yellow
beads.
42) 130 – 40 = 90
1 unit: 90 + 40 + 90 = 220
3 units: 220 x 3 = 660
There are 660 magazines altogether.
43) 90 ÷ 3 = 30, 30 x 7 = 210
210 – 90 = 120
Annie saves $120 every month.
3 years = 36 months
120 x 36 = 4320.
She will save $4320 in 3 years.
44) W: 128 x 2 = 256
C: 256 x 3 = 768
Total: 128 + 256 + 768 = 1152
1152 ÷ 8 = 144
There are 1152 ÷ 8 = 144 groups.
45) 90 – 18 – 40 = 32
∠a = 320
90 – 22 – 40 = 28, ∠b = 280
320 + 280 = 600
The sum of ∠a and ∠b is 600.
140. Answers to Semestral Assessment 1 – Mock Paper 2
5 Q1 Q2 6
Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
1 4 4 2 3 2 1 1 4 4 1 3 2 2 3
16) 57 700 17) 3 1 18) 18, 36 19) 49 20) 4
13 6
21) 14 right
angles
22) 346 23) 106 24) 1 25) $1130
26) 22 110 27) 5 28) $400 29) 36
5 30) $24
31) $219 32) 30th 33) 66 34) 9 794 35) 28 cm
36) 9
1− 4 =
5
9
350 ÷ 5 = 70
70 x 9 = 630
There are 640 people in the zoo.
There are 9
4 x 630 = 280 adult in the zoo.
37) 28 x 2 = 14
14 + 28 = 42
There were 42 children in each row.
42 x 40 = 1680
38) 38 x 6 = 228
228 x 25 = 5700
The total number of cards sold was 5700.
39) 96 ÷ 2 = 48
48 x 5 = 240
240 + 48 = 288
They have 288 stickers together.
40) 2200 – 180 = 2020
2020 ÷ 2 = 1010
Thomas has 1010 cards.
1010 + 180 = 1190
Vicky and Stella have 1190 cards in total.
1190 – 50 = 1140
1140 ÷ 2 = 570
Vicky has 570 + 50 = 620cards.
41) 3 x 5 + 5 = 20
5 computers and 5 printers cost as much as
20 printers.
7840 ÷ 20 = 392
392 x 3 = 1176
The cost of a computer was $1176.
4 x 56 = 32
42) 7
5 x 72 = 45
8
45 – 32 = 13
There are 13 more black marbles in the in
packet B than packet A.
43) 4
1 x 24 = 6 h
3 2 x 6 = 4h
6 – 4 = 2h
Kelvin took 2h less.
2 x 2700 = 1080
He saved $1300 each month.
1080 x 7 = 7560
He saved $9100 in 7 months.
8
44) 5
3 x 7560 = 2835
He spent $2835 for his holidays.
45) 121 = 11 x 11
Each side of the smaller square is 11 cm
11 + 6 = 17 cm
Each side of the larger square is 17 cm
17 x 4 = 68 cm
The perimeter of the larger square is 68
cm.
141. Answers to Semestral Assessment 1 – Mock Paper 3
4 Q1 Q2 3
Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
3 1 2 1 2 3 1 4 1 3 2 4 3 3 4
16) 17 088 17) 600 18) 4 19) 220 cm 20) 98 425
21) 63 22) 1 23) 3 24) A =36, B =
13 7
, 3 2
, 2
1 , 6
111
25) 60
26) 2270 27) 56 28) 6
1 29) $37.5 30) 24
31) 52 cm 32) 4.2 l 33) 50 years old 34) 9 cm 35) 12
36) 8 units: 72 cm, 1 unit: 72 ÷ 8 = 9 cm
The breadth of the rectangle is 8 cm.
8 x 3 = 24 cm
The length of the rectangle is 24 cm
Area of rectangle is 8 x 24 = 192 cm2.
37) 175 x 3 = 525
500 + 1700 + 525 = 2725
Mr. Tan had $2725 at first.
1 + 12
38) Cathy gave Paul 4
1 = 3
1 of her balloons.
1 + 3
Cathy gave away 4
7 of her
1 = 12
balloons.
42 ÷ 7 = 6, 6 x 12 = 72
She had 72 balloons at first.
72 – 42 = 30
She had 30 balloons left.
39) 5 units: 500
1 unit: 500 ÷ 5 = 100
100 x 8 = 800
They had $800 at first.
1 = 4
40) 15 x 4
15 kg
1 kg = 3
4 3
13 kg
13 − 15
= 7
kg
3
4
12
The mass of the basket is 12
7 kg.
41) 3 units: 1360 – 180 – 155 – 155 = 870
1 unit: 870 ÷ 3 = 290
290 + 155 + 180 = 625
Michael collected 625 stamps.
42) 14 - 6 = 8
8 x 50 = 400 cents
400 ÷ 2 = 200 cents
200 ÷ 20 = 10 coins
There are 10 twenty-cent coins in box B.
43) 100 ÷ 4 = 25
25 x 3 = 75
Now basket A has 75 oranges and basket B
has 25 oranges.
75 + 20 – 35 = 60
Basket A had 60 oranges at first.
100 – 60 = 40
Basket B had 40 oranges at first.
5 = 8
44) 1 - 8
3
15 ÷ 3 = 5
5 x 8 = 40
There were 40 girls and 40 boys in the
competition.
5
4 x 40 = 32
32 boys were eliminated.
45) 8 x $12 = $96
8 + 2 = 10
10 tickets were sold together at $96.
53 ÷ 10 = 5 remainder 3
$96 x 5 = $480
$12 x 3 = $36
$480 + $36 = $516
The total cost was $516.
143. Answers to Semestral Assessment 2: Mock Paper 1
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
2 1 4 3 4 1 3 2 4 1 3 4 2 2 3
16) 500 17) 85 800 18) 34796 19) 12.61 20) 40 776
21) 150 22) 2 2 23) AE and CD 24) 0.76 25) 1.59 m
9
26) 64 m 27) 0.09 28) 60 29) 2.35, 2.032,
13 9
0.245, 0.235,
0.198
1
30) 4
31) 8.55 p.m. 32) 63 33) $24.45 34) 54 cm2 35) 36
36) 236 + 88 = 324
She sold 324 apples on Saturday.
236 + 324 = 560
The number of fruits sold on Saturday was
560.
560 ÷ 2 = 280
She sold 280 fruits on Sunday.
560 + 280 = 840
She sold 840 fruits on the two days.
37)
His mother
Jack 30 years old
30 ÷ 2 = 15
Jack will 15 years old when his mother’s age is
thrice Jack’s age.
In15 – 9 = 6 years’ time, the age of Jack’s
mother is thrice his age
38) 780 x 2 =1560
John has 1560 stickers.
780 + 1560 = 2340
They have 2340 stickers together.
2340 ÷ 2 = 1170
Each has 1170 stickers if they share equally.
1560 – 1170 = 390
John must give Mary 390 stickers.
39) 6 – 2.24 = 3.76
She used 3.76 kg of sugar to bake 8 cakes.
3.76 ÷ 8 = 0.47 kg
She used 0.47 kg for each cake.
40) 4 3
- 8 1
5
= 8
5 = 8
1 - 8
3
5 of water in the pail is 40 litres, 8
8
3 of the pail
hadn’t been filled up yet.
5 units: 40 l
1 unit: 40 l ÷ 5 = 8 l
3 units: 8 l x 3 = 24 l
16 l of water was needed to fill up the pail.
1 + 15
41) 5
7 = 3 2
1 - 3 2
1
= 3
1 of the book is 40 pages.
3
40 x 3 = 120
There were 120 pages in the books.
42) There are 18 chickens. 43) 1800 – 700 = 1100
X= 1100 ÷ 2 = 550
44) $160 x 3 = $480
The cost of 9 skirts and 15 dresses is $480.
The cost of 9 skirts and 13 dresses is $457.
$480 – 434 = $46
The cost of 2 dresses is $46.
$46 ÷ 2 = $23
The cost of a dress is $23.
45) 90 ÷ 10 = 9
The breadth of the small rectangular is 9 cm.
9 x 2 = 18
The length of the small rectangular is 18 cm.
9 x 18 = 162
The area of the small rectangular is 162 cm2.
144. Answers to Semestral Assessment 2: Mock Paper 2
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
1 3 3 1 2 4 4 2 3 2 4 3 2 3 1
16) 7080 17) 28 18) 45 19) 44.13 20) 16
14 0
7
7 , 9
21) 18
15 22) 280 23) 15
7 , 18
13 24) 52 25) 610
26) 5kg 27) 20
29 28) 12 times 29) 40 30) 10.55 a.m.
31) AD and CE 32) $66 33) 8 34) 104 cm 35) $52
36) 7 x 12 = 84, 95 – 84 =11
Mrs. Ho’s ticket was $11.
40) 3 x 3 + 7 = 16
3 car toys and 7 dolls cost as much as 16 dolls.
$544 ÷ 16 = $34, A doll cost $34.
34 x 3 = $102, A toy car cost $102.
A toy car and a doll cost $34 + $102 = $136.
1 , 1 - 8
37) 0.5 = 2
3 - 2
1 = 8 1
8 1
of the beads in the box are red.
3 - 8 1
8
2 , 2 units: 40 beads,
= 8
1 unit: 40 ÷ 2 = 20
8 units: 20 x 8 = 160, There are 160 beads in
the box.
38) Luna
George 880
Tim
880 ÷ 11 = 80, Tim has 80 stamps. 80 x 8 = 640, Luna has 640 stamps.
39) 23.65 – 4.65 = 19
19 x 8 = 152.
The number is 152.
42) 1800 - 720 = 1080, 1080 ÷ 3 = 360
b is 360. 360 x 2 = 720, ∠a is 720.
41) Jenifer
Liz $635
Daniel
$635 – $50 = $585, $585 ÷ 13 = $45, $45 x 3 = $135, Liz spent $135 and had $135 left.
$135 + $135 = $270, Liz had $270 at first.
43) 18 x 12 = 216, 216 + 15 = 221
Daisy had $221 at first.
12 – 3 = 9
Each magazine cost $9 during the fun fair.
221 ÷ 9 = 24 remainder 5.
24 – 18 = 6
She could buy 6 more magazines during the
fun fair with the original amount of money.
44) 5 + 7 = 12
With 12 more stickers, each friend would be
given 2 more stickers.
12 ÷2 = 6, There are 6 friends.
6 x 7 = 42, 42 + 5 = 47
Carol had 47 stickers at first.
45) $14.40 x 3 = $43.20, Jerry spent $43.20 from Monday to Wednesday.
$32.60 x 3 = $97.80, He spent $97.80 from Friday to Sunday.
$43.20 + $25.80 + $97.80 = $166.80, He spent $166.80 for the whole week.
$166.80 + 50 = $216.80, Jerry had $216.80 at first.
145. Answers to Semestral Assessment 2: Mock Paper 3
3 Q1 Q2 2
Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
1 3 3 2 2 3 2 3 4 2 1 1 4 2 1
16) 8000 17) 1120 18) 0.532 2
14 1
1
0.452
65 20) 330
19) 12
21) 34 000 22) 1.4 cm 23) 24
13 24) 8 25) $4
26) $425 27) (a) BC, (b)
AB
28) 9 29) $7 30) 320 cm2
31) 100 32) 40 cm 33) school 34) ∠CDE = 650
and ∠ABG = 180
35) $1050
36) $3.75 + $7.55 = $11.3, The belt cost $11.3.
$3.75 x 6 = $22.5, The shirt cost $22.5.
$3.75 + $11.3 + $22.5 = $37.55
Tim paid $37.55 altogether.
37) $4 + $2 = $6, $4 + $6 = $10
A bowl and a spoon cost $10 together.
$320 ÷ $10 = 32
Andy bought 32 bowls and 32 spoons.
$2 x 32 = 64
He spent $64 more on bowls than on spoons.
38) 49 + 86 = 135
After Leona gave 86 cards to Jimmy, each of
them had 133 cards.
135 + 86 = 221, Leona had 221 cards at first.
4 + 3
39) 9
1 = 9 7
, 9 7
of her money was spent.
1 unit: $450 ÷ 9 = $50
2 units: $50 x 2 = $100,She had $100 left.
2 x 350 = 140
There are 140 blue marbles in the box.
7
40) 5
2 x 350 = 100
There are 100 red marbles in the box.
1 x 100 = 25
7
3 x 140 = 60, 4
60 + 25 = 85,
85 marbles are removed from the box.
350 – 85 = 265
There are 265 marbles left in the box.
41) 3 x 3 cm = 9 cm
The length of the bigger square is 9 cm.
3 cm x 3 cm = 9 cm2
9 cm x 9 cm = 81 cm2
9 cm2 +
81 cm2 = 90 cm2
The area of the figure is 90 cm2.
42) 1 unit: 15 ÷ 5 = 3 cm, 9 units: 3 x 9 = 27 cm,
Ribbon B is 27 cm long.
43) 2 units: $72
1 unit: $72 ÷ 2 = $36
Nancy had $36 at first.
$36 x 5 = $180
Mandy had $180 at first.
44)
$210 - $25 + $19 = $204, $204 ÷ 3 = $68
The dress cost $68.
$68 - $19 = $49, The wallet cost $49.
45) Area of A = Area of B
The length of A = The length of the larger
square = 9 cm.
The breadth of A = The length of the smaller
square = 6 cm
9 + 6 = 15 cm
The length of the largest square is 15 cm
15 x 15 = 225 cm2
The area of the figure is 225 cm2.
146. Answers to Semestral Assessment 2: Mock Paper 4
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
3 3 2 1 2 4 1 2 4 3 2 4 1 3 4
16) 89 18) 14 079 19) 59.22 20) 0.49
8
14 2
3 17) 20
21) 16.61 22) 0.057, 0.075,
0.507, 0.705
23) 24 24) 15 25) 2.08 m
26) $4.25 27) $690 28) 5 h 30 min 29) 64 cm 30) 1300
31) 900 32) $149.5 33) 84 cm 34) 8 days 35) 7.05 p.m.
36) 1 unit: $1396 ÷ 4 = $349
9 units: $349 x 9 = $3141
Laura has $3141.
37) 1 unit : $25 - $12 = $13, Fred had $13 at first.
$13 x 2 = $26, Mary had $26 at first.
$13 + $26 = $39, They had $39 at first.
38) 5 + 2 x 2 = 9
2 jeans and 5 shirts cost as much as 9 shirts.
$216 ÷ 9 = $24
The shirt cost $24.
$24 x 2 = $48.
The jean cost $48.
39) 13 x 4 = 52 cm
The perimeter of the square is 52 cm.
13 + 4 = 17 cm
The length of the rectangle is 17 cm.
17 x 2 = 34, 52 – 34 = 18, 18 ÷ 2 = 9 cm
The breadth of the rectangle is 9 cm.
17 x 9 = 153 cm2
The area of the rectangle is 153 cm2.
40) 3 units: 48 x 2 = 96 paper clips
Jane had 96 paper clips more than Taylor.
1 unit: 96 ÷ 3 = 32
Taylor had 32 paper clips after giving 48
ones to Jane.
32 + 48 = 80,
Taylor had 80 paper clips at first.
41) 33 m2 – 8 m2 = 25 m2
25 m2 x 4 = 100 m2
The area of the square is 100 m2.
100 = 10 x 10
The length of the square is 10 m.
42) 5 x $4.25 = $21.25
3 x $2.7 = $8.1
$21.25 + $8.7 = $29.35
The usual price for 5 boxes of biscuits and 3
boxes of oranges is $29.35.
$29.35 - $23.89 = $5.46
Daisy saves $5.46.
43) 900 ml = 0.9 l
4 bottles of water: 0.9 x 4 = 3.6 l
Mango juice: 3.6 + 0.45 = 4.05 l
Each glass: 4.05 ÷ 9 = 0.45 l
44) $3.8 x 4 = $15.2
8 pens and 4 erasers cost $15.2.
$35 – $15.2 = $19.8
2 umbrellas cost $19.8.
$19.8 ÷ 2 = $9.9
The umbrella cost $9.9.
45) 80 – 8 = 72 cm
48 – 8 = 40 cm
40 x 72 = 2880 cm2
The covered area is 2880 cm2.
48 x 80 = 3840 cm2
The area of the cardboard is 3840 cm2.
3840 – 2880 = 960 cm2
The area that is not covered is 960 cm2.
147. Answers to Semestral Assessment 2: Mock Paper 5
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15
1 3 4 1 4 1 3 2 1 2 4 3 2 2 3
16) 98 425 17) 25 900 18) 17.81 19) 3 3
11 24) 269 25) 720 s
14 3
1 20) 0.09
21) 8 1
22) 0.0468,
0.0648, 0.4068,
0.864
23) 5
26) 620 27) $108 28) $21.4 29) 133 cm2 30) 47
31) $9.9 32) 9 33) 7
4 34) 30 trees 35) Bus stop
36) Each side of ABCD: 11 cm x 11 cm = 121
cm2. Each side of the shaded square: 4 cm x 4
cm = 16 cm2
11 – 4 = 7 cm, 7 ÷ 2 = 3.5 cm
The length of CE is 3.5 cm.
37) 28 – 5.7 = 22.3 kg, Box B is 22.3 kg.
22.3 – 3.8 = 18.5 kg, Box C is 18.5 kg.
28 + 22.3 + 18.5 = 68.8 kg
Their total mass is 68.8 kg.
1 = 4 3
38) 1 - 4
, 4 3
x $840 = $630
1 of his
Jason had $630 after spending 4
money.
1 - 3 2
1 , 3
= 3
1 x $630 = $210, He had $210
left.
39) $60 x 7 = $420, $60 x 8 = $480
They save $420 + $480 = $900 altogether.
40) 200 cm: 10 breadths of the small rectangle
1 breadth: 200 ÷ 10 = 20 cm
20 x 2 = 40 cm
The breadth of the figure is 40 cm.
20 x 3 = 60 cm
The length of the figure is 60 cm.
40 x 60 = 2400 cm2
The area of the figure is 2400 cm2.
41) Total number of stickers after Andrew bought
35 more: 89 + 35 = 124
Total number of stickers after Allan lost 18
stickers: 124 – 18 = 106
106 – 8 = 98
98 ÷ 2 = 49, Allan has 49 stickers now.
49 + 8 = 57, Andrew has 57 stickers now.
57 – 35 = 22, Andrew had 22 stickers at first.
42) There are 10 bikes.
43) Figure 2: 2 x 2 = 4, Figure 3: 4 x 4 = 16
Figure 4: 8 x 8 = 64, Figure 5 : 16 x 16 = 256
There are 256 small squares.
44) 3 p.m. – 11.30 a.m. = 3 h 30 min = 1 h + 2h
30 min
$0.65 x 5 = $3.25
$2.5 + $3.25 = $5.75
He paid $5.75 a day.
$5.75 x 2 = $11.5
He paid $11.5 together.
45) 25 min + 2 hr = 2 hr 25 min
Tom took 2 hr 25 min to complete his
homework.
3 hr 50 min + 2 hr 25 min
= 6 hr 15 min = 375 min
375 ÷ 3 = 125 min = 2 hr 5 min
Jimmy took 2 hr 5 min to complete his
homework.