math-grade-7

Mathematics for Grade VII Semester 1
1
Chapter 1
Whole numbers
Student Activities
1. When the weather forecasters said ’Today will be raining in the city with a minimum
temperature of 2°C below zero and a maximum temperature of 16°C. How would you express
all information above in whole numbers
2. A temperature of 14° C (Celsius) is decreased by 18 degrees Celsius. What is the resulting
temperature?
3. Write down the result of the following statements
(a) all the natural numbers less than 4 :
(b) all the even numbers between 18 and 39 :
(c) all the odd numbers between 15 and 25 :
(d) The temperature drops by 3 unit from zero :
(e) If the initial temperature of a room is 7o
C, then it falls by 5o
C, what is the final temperature
of the room?
(f) The temperature of Singaraja city is 32o
C, while Bangli is 24o
C. What is the temperature
difference of the two cities?
4. Draw a number line to represent the whole numbers
(a). 1, 3, 5 and 7;
(b) greater than 3 but less than 13
5. Find the sum of each of the following.
(a) 26574 + 24938 =
(b) 23 453 + 96 875 =

2
(c) 54613 + 4042 + 1793 + 248039 =
(d) 29359 + 9632 + 82175 + 184938 =
6. Calculate the following mentally.
(a) 14 × 5 + 14 × 3 =
(b) 16 × 4 + 16 × 6 =
(c) 19 ×13 – 19 × 7 =
(d) 18 × 17 – 28 × 17 =
7. The populations of Semarapura, Singaraja, Amlapura are 309 346, 204 188, and 306 470
respectively. What is the total population of the three towns?
8. A farmer were able to produce 24 679 kg of rice in 2004, 467 248 kg of rice in 2005 and 56
350 kg of rice in 2006. How many kilograms of rice did the farmer produce in the three years?
9. a. Find the difference between 964 239 and 685 136.
b. Subtract 29 604 from 57 814
10. The price of a new car is Rp.120 500 490 whereas the price of a used car is Rp.85 900.000 less
than the price of the new car. What is the price of the used car?
11. The length of a road is 440 530 meters and another road 280 320 meters long. Find the
difference in length between the two roads.
12. Ani is 12 years older than Tuti and 5 years younger than Sri. If Sri is 30 years old, how old is
Tuti?
13. In a class of 28 students, 12 are boys. One day, 8 new students enroll in the class and 5 of them
are boys. Calculate the number of girls in the class now.

3
14. A can of fruit juice costs Rp.7500 and a packet of sweets costs Rp.6000. Mrs. Sudani bought 3
cans of fruit juice and 4 packets of sweets. Calculate the total amount of money that Mrs.
Sudani paid.
15. A box contains 100 apples. Budi bought 8 boxes of apples and distributed them equally to 25
poor families. Calculate the number of apples each family received.
16. Putu buys a magazine costing Rp.15 000, a dictionary costing Rp.25 000 and a scientific
calculator costing Rp.40 000. Find the total amount of money he pays.
17. An electronics supply house has 432 resistors of a certain type. If 36 are sold during the first
week, 72 during the second week, 29 during the third week, and 58 during the fourth week,
how many are left at the end of the month?
18. Rudi has Rp.230 000 in his savings account. If he spends Rp.150 000 to buy a game, how
much is left in his savings account?
19. Putu has Rp.440 000 in his savings account. He wishes to buy a tennis racquet for Rp.210 000.
How much is left in his savings account?
20. The temperature was –15° at 6a.m. but by noon the temperature has risen to 23°. How many
degrees did it rise from 6 am to noon?
21. The temperature dropped 22° from –7° at midnight to just before daybreak at 7 am. What was
the temperature at 7 am.?
22. Erni was born in 1986. How old will she be in the year 2010?

4
23. A chemist has 100 ml of acid and she needs 368 ml of the acid. How much more is needed?
24. If a person has Rp.780 000 after paying off a debt of Rp.230 000, how much money did he
have before paying off the debt? Write a statement involving the operation of subtraction of
integers to show your answer.
25. A piece of wood 24 meters long is cut into three pieces so that two of the pieces measure 8
meters and 10 meters. What is the length of the third piece?
26. Amy has Rp.450 000 in assets and she wants to borrow enough money to buy a stereo system
for Rp.695 000. How much will she owe?
27. The top of Mt. Everest in Asia is 8100 meters above sea level and the top of Mt. McKinley in
Alaska is 6 320 meters above sea level. How much higher is the top of Mt. Everest than the top
of Mt. McKinley?
Multiple Choice Questions
1. The temperature in Sydney tonight is –
2o
C and it is forecasted that the
temperature will drop by 3o
C tomorrow
morning. What will the temperature be
tomorrow in Sydney?
a. 5o
C c. –5o
C
b. 1o
C d. –1o
C
2. Which of the following is not a common
multiple of 4 and 6?
a. 12 c. 48
b. 32 d. 72
3. x, 29, 31, 37, y are prime numbers
arranged in a certain order. The value of
y – x is
a. 16 c. 20
b. 18 d. 64

5
4. 23, w, x, y, z, 43 are prime numbers
arranged in increasing order. Which of
the following is the number 37?
a. w c. y
b. x d. z
5. The lowest common multiple of 3, 4 and
8 is
1. 24 c. 48
2. 32 d. 60
6. The definition of -5o
C is…
a. 5o
C below the freezing point of water
b. 5o
C above the freezing point of water
c. -5o
C below the freezing point of water
d. -5o
C above the freezing point of water
7. Which of the following number lines
shows the equation -5 + 3?

a.


b.


c.


d.
8. The identity of addition operation in a
whole number is…
a. 0 c. -1
b. 2 d.
9. is equivalent to…
a. c.
b. d.
10. The inverse of addition of –12 is…
a.
c.
b. d. –12
11. If , and , the
value of is…
a. –1 c. –7
b. 1 d. –21
12. Which of the following statements
correctly describes the figure below?
a. 4 + (-2) c. 4 + (-6)
b. -4 + 6 d. -4 + (-6)
13.
a. c.
b. 14 d.
14.
a. – 120 c. 120
b. 110 d. – 110
15. The inverse of 7 is…
a. c.
b. 7 d.
16. If , and , the
result of is…
a. 1 c. 7
b. −1 d. −7
17. If 63 = −21, then is…
a. −3 c. −5
b. 3 d. 5
18.

6
a. – 37 c. - 55
b. 73 d. 91
19.
a. 3 c. – 20
b. – 3 d. – 25
20.
a. – 15 c. – 20
b. 15 d. 20
21. If and , then
a. 105 c. 115
b. 36 d. 120
22. If and , then
a. 35 c. 37
b. 36 d. 38
23.
a. − 243 c. – 54
b. − 243 d. 54
24. Which of the following is the lowest
common multiple of 3, 5 and 8?
a. 240 c. 120
b. 60 d. 30
25. The first three prime numbers which are
greater than 18 are
a. 19,21,23
b. 19, 23, 27
c. 19, 23, 29
d. 23, 29. 31
26. 96 is a common multiple of 8 and x.
Which of the following is not a value of
x?
a. 16 c. 24
b. 32 d. 46
27. 2 and 3 are the prime factors of 126.
Another prime factor of 126 is
a. 5 c. 6
b. 7 d. 11
28. 3 is a factor of p. p is a factor of 63. The
possible value of p is
a. 6 b. 9
b. 12 b. 15
29. The prime factors of 132 are
a. 2,3, and 6
b. 2,3, and 11
c. 2,4, and 11
d. 3,7, and 11
Chapter 2
Fractional Numbers
Student Activities
1. Write the following fractions in numeral
a. one-fifth = b. three-seventh =
c. seven-nineteenth = d. eleven-hundredths =

7
e. three-thirteen-hundredth = f. five-twelve-hundredths =
2. Write the following fraction in words
a.
31
2
= b.
17
11
=
c.
1300
7
6 = d.
150
3
7 =
3. What fraction describes how much of each figure is shaded
a. b. c.
4. Reduce the following fraction to their simplest forms.
a.
78
39
= b.
196
148
= c.
165
66
=
d.
450
90
= e.
338
78
= f.
288
144
=
5. Insert an appropriate fraction between the following two fractions
a.
4
1
, ……,
4
3
b.
8
3
, ……,
12
5
c.
3
2
, ……,
5
3
d.
7
6
, ……,
8
7
e.
7
3
, ……,
6
5
f.
2
1
, ……,
4
3
6. Write sign greater ‘>’ or less than ‘<’ on the following space
a.
5
3
3
2
−− LL b.
7
3
8
5
LL c.
7
3
9
5
LL
d.
5
3
3
2
−− LL e.
5
4
12
11
LL f.
5
2
18
13
LL
g.
12
7
4
3
−− LL h.
11
5
9
2
LL i.
7
4
3
2
LL
7. Find the largest fraction of the following three fractions
a.
14
4
,
21
9
,
28
4
(………….) b.
3
2
,
15
13
,
20
16
(………….)

8
c.
6
2
,
4
1
,
12
6
(………….) d.
6
5
,
30
21
,
15
12
(………….)
e.
16
5
,
24
21
,
12
9
(………….) f.
18
10
,
9
6
,
15
4
(………….)
8. Arrange the following fraction in ascending order.
a.
6
5
,
16
14
,
24
22
….. , …... , ….. b.
9
6
,
5
4
,
15
9
….. , …... , …..
c.
6
5
,
9
7
,
12
8
….. , …... , ….. d.
21
10
,
7
4
,
6
3
….. , …... , …..
e.
32
26
,
14
14
,
12
11
….. , …... , ….. f.
3
2
,
6
5
,
11
9
….. , …... , …..
9. Arrange the following fractions in descending order.
a.
3
2
,
6
5
,
8
6
,
12
7
….,.....,….,….. b.
20
15
,
5
4
,
10
9
,
12
11
….,.....,….,….
c.
6
5
,
3
2
,
18
16
,
36
33
….,.....,….,….. d.
6
5
,
4
3
,
12
7
,
9
6
….,.....,….,…..
e.
6
5
.
18
15
,
9
6
,
12
7
….,.....,….,….. f.
2
1
,
20
17
,
15
13
,
5
4
….,.....,….,…..
10. Express each of the following fractions as a mixed or whole number
a.
3
11
= ………. b.
5
16
= ………. c.
8
40
= ……….
d.
40
263
= ………. e.
30
128
= ………. f.
7
82
= ……….
g.
10
54
= ………. h.
25
430
= ………. i.
6
67
= ……….
j.
14
325
= ………. k.
25
435
= ……… l.
24
476
= ……….
11. Express each of the following mixed numbers as improper fractions
a.
3
2
5 = ………. b.
7
4
4 = ………. c.
13
11
12 = ………. d.
7
3
19 = ……….

9
e.
17
10
5 = ………. f.
17
7
9 = ………. g.
14
3
7 = ………. h.
21
8
4 = ……….
i.
11
4
7 = ………. j.
7
5
3 = ………. k.
21
9
14 = ………. l.
10
7
9 = ……….
12. Determine the values of the following statements
a. five twelfth of Rp.1.200.000 :
b. a third of an hour (in minute) :
c. three seventh of an area of a semicircle of radius 14 cm :
d. a fifth of a 10-gram apple
e. one-eighth of a three-dozen
13. Simplify the following expressions:
a.
5
3
5
6
3
3 −− = b. ⎟
⎠
⎞
⎜
⎝
⎛
−−
7
1
6
2
=
c. ⎟
⎠
⎞
⎜
⎝
⎛
−+⎟
⎠
⎞
⎜
⎝
⎛
−−
4
1
5
2
1 = d.
3
2
6
4
3
2 − =
e. ⎟
⎠
⎞
⎜
⎝
⎛
−−
3
5
1
6
1
2 = f. ⎟
⎠
⎞
⎜
⎝
⎛
−+−
5
3
1
9
5
4 =
g. ⎟
⎠
⎞
⎜
⎝
⎛
−+⎟
⎠
⎞
⎜
⎝
⎛
−−−
18
8
4
6
5
3
3
5
3 = h. ⎟
⎠
⎞
⎜
⎝
⎛
−−+⎟
⎠
⎞
⎜
⎝
⎛
−−
7
5
3
5
2
1
4
3
4 =
i. ⎟
⎠
⎞
⎜
⎝
⎛
−−+−
7
5
9
2
4
6
4
3 = j. ⎟
⎠
⎞
⎜
⎝
⎛
−−⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
−−+⎟
⎠
⎞
⎜
⎝
⎛
+−
8
5
6
5
4
1
3
2
5
1
=
14. Evaluate the following multiplications, write your answer in the simplest form
a.
5
3
9
25
× = c.
5
24
8
1
× = e.
5
12
3
10
× =

10
b.
8
5
25
32
× = d.
30
28
7
6
× = f.
18
81
27
24
× =
15. Solve the following problems, write your answer in the simplest form
a.
5
4
2
3
2
4 × = b.
7
4
1
9
8
6 × = c.
3
2
7
8
7
3 × =
d.
2
1
6
3
2
4 × = e.
8
3
3
9
4
2 × = f.
5
2
5
3
2
7 × =
16. Evaluate the following problems, write your answer in the simplest form
a.
4
3
4
5
4
5
3
2 ×× = b.
7
1
5
4
3
3
5
3
9
9
7
7 ××× =
c.
9
5
3
7
4
3
5
2
2 ×× = d.
15
2
2
7
2
3
8
3
3
6
1
2 ××× =
17. Evaluate the following, express your answer in the simplest form
a.
9
14
:
18
5
= b.
25
1
2:
5
3
1 =
c.
28
15
1:
32
25
2 = d.
75
4
:
15
1
4 =
18. Evaluate the following, express your answer in the simplest form
a.
15
2
3:
5
1
3 = b.
5
4
3:
6
3
2 =. c.
4
2
5:
4
3
2 =
d.
3
2
5:
3
1
9 = e.
7
34
:
7
3
2 = f.
35
4
2:
7
1
2 =
19. Simplify the following expression, write your answer in the simplest form
a. ⎟
⎠
⎞
⎜
⎝
⎛
−×
25
5
5 = b. ( ) ⎟
⎠
⎞
⎜
⎝
⎛
−÷−
5
4
16 =

11
c. ( )5
15
13
4 −× = d. ⎟
⎠
⎞
⎜
⎝
⎛
−×⎟
⎠
⎞
⎜
⎝
⎛
−
5
9
54
7
=
e. ⎟
⎠
⎞
⎜
⎝
⎛
×⎟
⎠
⎞
⎜
⎝
⎛
−
21
16
4
3
= f. ( )5
4
1
16 −÷ =
g. ⎟
⎠
⎞
⎜
⎝
⎛
−÷⎟
⎠
⎞
⎜
⎝
⎛
−
12
35
16
25
= h.
3
4
1
7
4
7 ÷⎟
⎠
⎞
⎜
⎝
⎛
− =
i. ⎟
⎠
⎞
⎜
⎝
⎛
−÷
18
7
12
9
= j. ( ) ( )12
12
1
12 −÷⎟
⎠
⎞
⎜
⎝
⎛
−×− =
k. ( )12
6
5
5
4
2 −÷×⎟
⎠
⎞
⎜
⎝
⎛
= l. ⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
−×⎟
⎠
⎞
⎜
⎝
⎛
×⎟
⎠
⎞
⎜
⎝
⎛
−
5
15
4
1
1
15
4
2 =
20. Express the following fractions as decimals
a.
5
4
= b.
75
7
= c.
16
5
=
d.
125
3
= e.
100
33
3 = f.
1000
25
=
g.
100
131
= d.
5
24
= e.
100
83
2 =
f.
200
12
6 = g.
500
35
5 = h.
100
3
56 =
i.
200
5
= j.
3000
27
5 = k.
3000
33
10 =
21. Express the following as fractions in their lowest terms:
a. 0.075 = b. 0.360 = c. 0.0125 = d. 0.0064 =
e. 10.205 = f. 0.1250 = g. 5.625 = h. 6.0625 =

12
22. Round off to the nearest whole number!
a. 44.75 = b. 0.089 = c. 4.934 =
d. 0.1568 = e. 0.2419 = f. 4.7569 =
g. 16.0069 = h. 319.87839 = i. 649.75689 =
23. Write down the following numbers in the standard form
a. 6000000 b. 2.37000000000000
c. 10.0000000130 d. 34.000045000
24. Write down the following standard forms into the general form
a. 1.0123 × 10-3
= b. 1.4500 × 10-6
=
c. 12.3030 × 10-9
= d. 4.03 × 10-6
=
e. 17.3040 × 10-6
= f. 2.3030 × 10-5
=
1. The following fractions are equal to
7
2

except
a.
14
4
c.
49
14

b.
35
10
d.
54
18

2. The percent expression of
25
6
is
a. 0.24% c.  42%
b. 2.4% d.  24%

3.
15
14
,1,
9
8
arranged in ascending order is
a.
9
8
,
15
14
,1 c. 1,
15
14
,
9
8

b. 1,
9
8
,
15
14
d.
15
14
,
9
8
,1

4. Which of the following sets of fractions are
arranged in ascending order?
a.
4
1
,
3
1
,
2
1
c.
4
1
,
8
3
,
8
5

b.
3
2
,
5
2
,
9
2
d.
8
1
,
4
3
,
2
1

5.
6
5
,
16
11
,,
6
1
x are arranged in ascending
order. The value of x is
a.
7
1
c.
12
5

b.
7
2
d.
18
7

6. What is the result of
1 3
7 2
2 8
⎛ ⎞
− − −⎜ ⎟
⎝ ⎠

a. ‐5
1
8
   c. ‐9
1
8

b. ‐5
7
8
   d. ‐9
7
8

13
7
2

except
a.
14
4
c.
49
14

b.
35
10
d.
54
18

1. The standard form of 12,564,000 with
rounding off up to 2 decimal is…
a.
c.
b.
d.
2. The decimal form of is…
a. 0.0637
b. 0.00637
c. 0.000637
d. 0.0000637
3. If +10 minutes means that Andi arrives
at school 10 minutes before the bell
rings, what does – 12 minutes mean?
a. Andi goes
home 12 minutes before the bell rings
b. Andi goes
home 12 minutes after the bell
c. Andi is late
12 minutes before the morning bell
d. Andi arrives
school 12 minutes before the bell
4.
a. 15 c. 49
b. -15 d. -49
5. The decimal form of with rounding
off up to 2 decimal point is…
a. 3.26 c. 3.27
b. 3.28 d. 3.29
6.
a. 1.4 c. 1.8
b. 1.6 d. 2.0
7. Two cubes have lengths of 4 cm and 6
cm, respectively. The ratio of the volume
of both cubes is…
a. 1 : 3 c. 8 : 9
b. 2 : 3 d. 8 :
27

1.
a. c.
b.                         d.

2.
a. c.
b. d.
Chapter 3
Algebraic Expression

14
Student Activities
1. Translate the following statement into an algebraic expression
a. The sum of a number and three is 200.
b. The difference of fifteen and a number is −3.
c. Three more than five times a number is twelve.
d. Thirty percent of a number is forty.
e. Three more than twice the reciprocal of a number is
f. Five times the difference of twice a number and six equals twenty.
g. Seventeen times x plus 13 times y.
h. Four times the square of x minus twice the cube of y.
i. Three quarter x cubed plus two y squared.
j. Five times a plus b multiplied by the square root of c.
k. Twice x2
minus 4 times the cube root of y.
l. The cost of x articles at two thousands Rupiah each.
m. The cost of y apples which are sold at 3 for five thousands.
n. The total distance moved by a body in x hours at a speed of k km per hour.
o. Nine times the product of x and 3h minus the quotient when k is divided by 2y.
p. The cube of the sum of x and y minus the square root of the sum of 5x and 3y.
2. Simplify each of the following
a. x − 4x−- 3x = b. 3x – 12 + (2x − 6) =
c. 2x − 3(x + 1) = d. 8x2
− 3x2
+ l + 3x − 4 =
e. x2
+ 5x 2
– 2x − (2x2
+ l) = f. 3(2x – 7) – 4x(2x - 4) =
g. (2x2
− 3x2
+ x) − 2(x2
+ 2x +11) = h. (x2
+ 3x – 3x2
) – 2x (x – 2) =
3. What must be added to 6x2
– 4y2
to give 3y2
– 2x2
?
4. If p = −2, q = 2, r = −3, the value of the following expressions
a. prprqp 433 32
−+ =
b. ( )32
33 rqp +− =

15
c. ( )232
2 qrp =
d. ( )332
rqp =
e.
2
2
2
2
3
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
r
qp
=
f. 2222
43 rpqrpq −+ =
g. 233
32 rqp −+ =
h. prqbqp 243
342 −+ =
5. If 2543 2
=+− xyxy , find x when y = 2
6. If 622 2
+=+ ptqqp , find t when p = -2 and q = -3
7. If 1452 23
=+ yxx , find y when x = -1
8. If qrqp 453 =− , find p when q = -2 and r = -1
9. If
qp
xy
yx
−
=−
3
2 , find x when y = -2, p = 3 and q = 4
10. If
y
qx
x
qp
2
3
3
2 +
=
−
, find y when x = 3, p = -2 and q = 3
11. If
zy
x
y
x 1
3
32
=−
+
−
, find x when y = 4 and z = 2
12. If
2
23
23
−
+
=+
z
z
yx , find z when x = 2 and y = -4
13. If
y
x
zy
zyx
2
2
3
322
=
+
−+
, find x when y = 4 and z = 1
14. If
4
3
47
53
=
−
+
yx
yx
, find the value of
y
x

16
15. Find the HCF of the following:
a. bcaabc 22
2and3
b. spqqrp 22
15and9
c. 222323
21and8 zyxzyx
d. 232
21and14 abcba
e. 3223
8and6,4 xyyxyx
f. 22433
15and21,3 yxxyyx
16. Find the LCM of the following:
a. 22232
21and8 zyxzxy
b. 323
24and16 xyyx
c. 5263
9and6 yxyx
d. 32323
8and12,4 xyyxyx
e. 23423
15and21,3 yxyxxy
f. cabbca,cab 3232
6and104
17. Find the LCM and the GCF of the following expressions
a.
b. yzxzxy 222
12and8
c. 2223
3and9,6 accbba
d. zxyyzxzyx 22322
21and8,6
e. ybaxyaybxa 2242333
2and6,3
18. Find the sum of the following
a. xxxx 6-and75 22
−+− =
b. xyxxyx 44and5 22
−+− =

17
c. yxyxyxyx 333-and223 22
−++− =
d. 357and357 +−−+ qpqqpq =
e. 2222
68and412 qpqpqpqp −+−+− =

19. Subtract
a. 456from642 22
+−+− xxxx =

b. 23-from724 22
−+−+ xxxx =

c. 2222
46from2 yxyxyxyx ++−+ =

d. xxyxxxyx −−−−− 2323
43from643 =

e. xyxxxyxx 86from8 2323
+−−+ =

f. ( ) ( )8453from7534 −+−+ yxyx =

g. ( ) ( )5674from8245 22
−++−− yyyy =

20. Carry out multiplication on the following problems
a. ( )baa 83 + = b. ( )abaa 524 − =
c. ( )qpp 472 2
+− = d. ( )qpp 365 2
−− =
e. ( )abbaa 7452 +− = f. ( )22
4563 babab −+− =
g. ( ) 232
6:824 ababa × = h. ( ) 32245
3:9 baacba × =
i.
ab
c
cab
a
5
12
3
15
3
4
× = j.
abab
c
cab
a 1
:
5
4
8
15
3
3
× =
21. Evaluate the following problems
a. ( )2
2xy− = b. ( )32
2ab =

18
c. ( )22
4xyz− = d. ( )32
2xy− =
e. ( )32
2 yx−− = f. ( )422
2 yx− =
g. ( )432
3 yx−− = h. ( )3
32 qp −×− =
i. ( )4
54 pqp ×− = j. ( )[ ]3232
2 qppq −×− =

1. The simplified form of
is…
a.
b.
c.
d.
2.
a.
b.
c.
d.
3.
a.
b.
c.
d.
4. The simplified form of is…
a.
b.
c.
d.
5. The simplified form of
is…
a. c.
b. d.
6.
a.
b.
c.
d.
7.
a. c.
b. d.

19
8.
a. c.
b. d.
9.
a.
b.
c.
d.
10.
a.
b.
c.
d.
11. Which of the followings is a pair of like
terms?
a.
b.
c.
d.
12. What is the coefficient of
respectively on terms:
,
a. 2, -4, -13
b. -1, 2, -13
c. -13, -2, 1
d. -13, 2, -1
Chapter 4
Social Arithmetic
Student Activities
1. Find the profit or loss percent in the following cases:
(a) cost price = Rp.280.000, profit = Rp35.000;
%=profit% LLL
LLLLLL
LLLLLL
LLLLLLLLLLLL
LLLLLLLLLLLL
==
(b) selling price = Rp.210.000, profit = Rp.14.000;
%=profit% LLL
LLLLLL
LLLLLL
LLLLLLLLLLLL
LLLLLLLLLLLL
==
(c) selling price = Rp.420.000, loss = Rp.140.000;

20
%=loss% LLL
LLLLLL
LLLLLL
LLLLLLLLLLLL
LLLLLLLLLLLL
==
(d) cost price = Rp.1.625.000, selling price =Rp.1.850.000
%=profit% LLL
LLLLLL
LLLLLL
LLLLLLLLLLLL
LLLLLLLLLLLL
==
2. A second-hand bicycle is sold for Rp.635.000 at a profit of 27%. Find the profit.
3. By selling a book for Rp.16.500, a bookseller loses 12%. What is the cost price of the book?
4. Budi bought an antique chest for Rp.600.0000 and was forced to sell it for Rp.500.000. Find
the percentage loss.
5. If Susan sells her car at a loss of 6%, what is her selling price when she paid Rp.180.400.000
for it?
6. To make a profit of Rp.500,000 a bicycle must be sold for Rp.2,400,000. What is the cost price
of the bicycle?
7. The profit on a certain refrigerator is 30% of the cost price. If the profit is Rp.2.700.0000 find
(a) the cost price
(b) the selling price of the refrigerator,

21
8. The retail price of a television set is Rp.8,400,000 If this is 140% of the wholesale price, find
the wholesale price.
9. A man buys a dozen cameras for Rp.18,000,000. He sells them at a profit of Rp.360,000 each.
Find his profit percentage.
10. A florist bought 360 roses at Rp.10 000 per dozen. If he sold them at Rp.1100 each, what is his
percentage profit?
11. Mr. Gunawan buys 200 identical articles at a total cost of Rp.1,500,000. He fixes the selling
price of each article at 20% above the cost price and sells 160 articles at this price. As for the
remaining articles, he sells them at 50% of the selling price. What is Mr. Gunawan’s total
profit?
12. Tuti lent Asih Rp.4,800,000 for 7 months. At the end of this period Asih has to pay Tuti an
interest of Rp.119,000. What is the rate of simple interest per annum?

22
13. Find (a) the discount, (b) the money paid, in the following cases.
a. The list price of a watch is Rp.198,000 but if you buy now, the dealer will give a 15%-
discount to the purchaser.
i. The discount =
ii. The money paid =
b. A shoe which has a catalogue price of Rp.595,000 but is sold at a discount of 20% during a
sale.
i. The discount =
c. A printer which has a marked price of Rp.1,400,000 but is sold at a discount of 8% to a
customer who pays for it in cash.
i. The discount =
d. A small sofa-bed priced at Rp.500,000 but is sold at a discount of 16% to a customer who
arranges for its delivery.
i. The discount =

23
14. A sales promotion girl (SPG) will receive a commission of 20% of monthly sales amounting to
Rp.7,800,000. Find the SPG’s monthly commission.
15. A door-to-door salesman is paid a basic salary of Rp.520,000 per month plus a commission of
25% of total sales made during the month. If he sells Rp.5,264,000 worth of goods in a
particular month, find his total income for that month.
16. In a certain place, the sales tax is 6%. If Jimmy pays Rp.54,000 in sales tax for his refrigerator,
what is its price?
17. In a certain city, the sales tax is 8%. Find the amount of tax that has to be paid on the purchase
of a television set which costs Rp.950,000
18. In a certain town, the property tax is 3% of the assessed valuation of the property. What is the
assessed value of a piece of property which pays Rp.7,200,000 in taxes a year?

1. A retailer purchased a car from a
manufacturer and received a 30% trade
discount. The original price was
Rp.124,000,000 What price did the
retailer pay?
a. Rp.37,200,000
b. Rp.61,200,000

24
c. Rp.86,800,000
d. Rp.124,000,000
2. A sales promotion girl (SPG) will
receive a commission of 20% of monthly
sales amounting to Rp.7 800 000. Find
the SPG’s monthly commission.
a. Rp.1,560,000,000
b. Rp.6,240,000,000
c. Rp.7,800,000,000
d. Rp.9,360,000,000
3. Budi saved his money of Rp.2,500,000
on a bank. He was given a simple
interest rate of 6% per annum. How long
will it take for the amount to add up to
Rp.3,400,000?
a. 12 years c. 6 years
b. 4 years d. 8 years
4. A manager of a shop borrowed
Rp.6,600,000 from a bank at 8% simple
interest per annum. Find the debt he had
to pay to the bank at the end of 11
months?
a. Rp.7,084,000
b. Rp.7,128,000
c. Rp.6,072,000
d. Rp.7,128,000
5. The sum of three consecutive odd
numbers is 243. Find the three numbers.
a. 77,79,81 c. 79, 81, 83
b. 81,83,85 d. 77, 81, 85
6. Santhi earns Rp.2 800 000 a month. She
spends 15% of her monthly income on
food, 5% on rent, 8% on clothes. 35% on
others and saves the rest. How much
does she save a month?
a. Rp.1 036 000 c. Rp.920 000
b. Rp.960 000 d. Rp.880 000
7. In a school, 54% of the students are girls.
The number of girls in the school is 567.
Calculate the number of boys in the
school.
a. 448 c. 476
b. 465 d. 483
Chapter 5
Linear Equations and Linear Inequality
with One Variable
Student Activities
1. Solve the following problems
a. yy =+ 52 b. 42 −= mm

25
c. 1045 −= pp d. 5879 +=+ tt
e. 7273 +=− zz f. 5223 +=− xx
g.
3
3
3
2
9
1
2
−
=
+
+
−
−
nnn
h. a
a
−=− 10
8
7
5
i. 0
2
5
12
3
=
−
−
+ xx
j. 2
5
34
3
2
−=
−
+
− bb
k.
( )
4
31
5
26
5
52 xx −
=−
+
l.
( )
4
31
5
26
5
52 xx −
=−
+
m. ( ) ( ) 041249 =++− xx n. ( ) ( ) 045234 =−−−+ xxx
o. ( ) ( ) 312323 −=+−− yyy p. ( ) ( ) 616104254 =−−++ yyy
q. ( ) ( )10326235 −=−− yyy r. ( ) ( )yy −=++ 46143
s. ( ) ( ) 9463223 +−=−− yyy
2. Solve the following equations

26
a. ( ) ( )1353
5
1
−=+−− xxx b..
( ) 0
4
3
3
12
=+
− xx
c. ( ) ( )
4
1
52
3
2
6
5
1
=−−+ xx d. 4
3
72
7
16
=
−
−
+ xx
e. ( ) ( ) 014
3
1
23
2
1
14 =−−−−+ xxx f.
12
3
6
1
9
2 +
=
−
−
xxx
g. 2
3
2
5
3
=
−
−
xx
h.
5
12
4
3
3
14 +
=
−
−
− xxx
i.
24
72
8
32
6
43 −
=
+
−
− xxx
j. ( ) ( )
4
32
2
9
2
12
2
1 −
=−−−
x
xx
k. ( )34
4
1
4
1
3
3
1
2
1
2
2
1
−+⎟
⎠
⎞
⎜
⎝
⎛
−=⎟
⎠
⎞
⎜
⎝
⎛
− xxx l. ( ) ( )43
15
1
2
5
1
3
5
1
2 +=+−⎟
⎠
⎞
⎜
⎝
⎛
− xxx
3. Solve the following equation. Give your answers correct to 2 decimal places where necessary.
a. ( ) 3.1235.215.0 =−+ xx b. 6.0
10
12
4
+
+
=
xx

27
c. 5.1
5
3
7
25
++
−
=
+
x
xx
d.
6
1
4
1
3
1
4
1
25.0 −+
−
+=+ x
x
x
e.
6
34
5.0
12
7
25.25.0
−
++=−
xx
x f. ( ) ( )1
3
1
3
1
3
2
1
50 +=⎟
⎠
⎞
⎜
⎝
⎛
−++ xx.x
a. A number exceeds another by 4 and their sum is 32. Find the two numbers.
b. When a number is doubled and 5 is subtracted from the result, the answer is 37. What is the
number?
c. The sum of two numbers is 120. If the larger number is four times the smaller number,
what are the two numbers?
d. The sum of three consecutive numbers is 93. Find the smallest of these numbers.
e. The sum of three consecutive even numbers is 210. Find the largest of these numbers.
f. The sum of three consecutive odd numbers is 243. Find the three numbers.
g. The sum of four consecutive numbers is 210. Find the four numbers.
h. The sum of five consecutive even numbers is 220. Find the smallest of these numbers.

28
i. Find two consecutive odd numbers such that when the smaller number is subtracted from
three times the bigger number, the result is 56.
j. When 42 is added to twice a number, the result is 346. Find the number.
k. When a number is divided by 4 and has 12 subtracted from it, the result is
6
1
of the number.
What is the Number?
l. The larger of two integers is seven more than the smaller integer. Their sum is 49. Find the
integers.
m. The larger of two integers is one more than twice the smaller integer. Their sum is 43. Find
the integers.
n. The larger of two integers is two more than three tunes the smaller integer. Their sum is
70. Find the integers.
o. The larger of two integers is one less than four times the smaller integer. Their sum is 74.
Find the integers.
p. When a number is multiplied by 5, it gives the same result as when 48 is added to twice the
number. Find the number.
q. Ahmad is twice as old as Bobby. John is 7 years younger than Ahmad. If the sum of their
ages is 38, how old are the three boys?

29
r. Janet is three times as old as her daughter, Mary. Five years ago, Janet was 4 times as old
as Mary. How old is Janet now? How old will Mary be in 7 years’ time?
s. A man was 26 years old when his son was born. Now, he is three times as old as his son.
How old is the son now?
t. A father is four times as old as his son. The difference in their ages is 36. Find the sum of
their ages in 5 years’ time.
u. Ben is three times as old as Carl now. In two years’ time, Ben will be twice as old as Carl.
How old is Carl now?
v. Ali is 8 years older than Fatimah. Six years ago, Ali was 5 times as old as Fatimah. How
old is Fatimah? How old will Au be in 8 years’ time?
w. Budi is 50 years old. His son, Hendra is 24 years old. How many years ago was Budi three
times as old as Hendra?
x. The sum of the ages of two brothers is 24. In three years’ time, the elder brother will be
twice as old as the younger brother. How old are the brothers?

30
y. Adam is 5 times as old as Charles. In 8 years’ time, the sum of their ages will be equal to
twice Adam’s present age. Find their present ages.
z. Tom is twice as old as Harry. In 9 years’ time, their combined ages will be five times
Harry’s present age. How old is Tom now? How old will Harry be in 9 years’ time?
aa. A, B and C shared Rp.1540,000. A received three times as much money as B and C’s share
is half that of A’s. How much money did C receive?
bb. A librarian bought 50 books for a library. Each hard cover book is
2
1
1 times as expensive
as each paperback which costs Rp.40,000 each. How many hard cover books did the
librarian buy if he spent a total of Rp.2,560,000 on the books?
5. Solve the following problems and draw the solution in a number line.
a. mm 45 <+ b. 2462 −<+ mm c. mm 2575 −>−−
d. xx +−<+ 113 e. 2613 −≤+ xx f. xx 274 >−

31
g. 425 <− x h. 42732 +≤−p i. 11745 −>− pp
.
a. 105
3
1
>−x g. 7
2
1
4
1
≤+y
b. 2
5
1
4
3
>− yy h. 10
72
−≤
pp
c.
6
1
32
ppp −
>− i. ( )
4
1
554
2
1
+<− qq
d. ( ) ( ) 01
2
1
3
4
3
>−++ xx j. ( ) ( )
4
1
1
3
1
4
2
1
≤+−− nn

32
e. ( )
2
1
4
3
3
2
4
4
3
<⎟
⎠
⎞
⎜
⎝
⎛
−−+ nn k.
4
36
2
12
3
24 +
≤
+
−
+ xxx
f. 0
5
31
4
21
3
1
<
−
+
−
−
− xxx
l. xx
28
3
4
1
1
7
5
2 +≥+

1. Which of the following expressions is a
linear equation with one variable
a.
b. 7p + 3 = 14
c. 4k – 3 = 17 – 2m
d. 6 – 3u = 18
2. The solution of ( ) ( ) 22
2
1
32
4
3
≤−−+ xx
is
c.
4
5
−≤x c.
5
1
≥x
d. 1≤x d. 1≥x
3
1
1
2
1
≥+−− nn is
a. 1−≥n c. 1≤n
b. 5−≥n d. 5≤n
4. The solution set of
where is
a.
b.
c.
d.
5. The solution of
24
12
8
32
6
43 +
≥
+
−
− xxx
is
a. 6≥x c. 6−≥x
b. 4−≤x d. 4≤x
6. Which of the following values of x
satisfying the inequality
xx
14
3
2
1
1
7
5
5.0 +≥+
a.
4
11
−≥x c.
4
11
≥x
b.
2
3
−≤x d.
11
4
≤x
7. For what value of x does the following
inequality is correct
( ) ( )
6
32
2
9
2
12
2
1 −
≤−−−
x
xx
a. 5.8−≥x c. 5.6−≥x
b. 5.8−≤x d. 5.4≤x

33
Chapter 6
Ratio and Proportion
Student Activities
1. A map is drawn to a scale of 1: 50 000.
a) What is the actual distance represented by
(i) 2 cm, (ii) 7.5 cm, (iii) 0.6 cm,
b) What length on the map represents the actual distance of
(i) 4km, (ii) 15 km. (iii) 250 m,
2. A map is drawn to a scale of 1 cm : 2 km.
a) What is the actual distance represented by
(i) 3 cm, (ii) 4.5 cm, (iii) 1 m,
b) What length represents the actual distance of
(i) 5 km. (ii) 500 m. (iii) 9 km.
3. The distance between Amlapura and Gilimanuk is 225 km. On a map with a scale of 1 cm : 50
km. how far apart would the towns be?
4. The scale of a map is 1 : 20,000. Find the distance in km of a road represented by 5.5 cm on
the map.

34
5. Given that 1 cm on a map represents 2 km on the ground, calculate the area of a park on the
map if the actual area of the park is 10 km2
.
6. The scale of a map is 1 cm: 8 km. What area on the map would represent
(a) 64 km2
. (b) 128 km2
,
(c) 320 km2
, (d) 1 600 km2
7. On a scale of 1 cm : 2 km, the plan of the field measures 5 cm by 3.5 cm on the map. Find the
actual area of the field.
8. In the given figure below, ABC is a triangle of height 4 cm and base 7 cm, drawn to a scale of
1 cm : 3 km. Find the actual area of the triangle.
A B
C
7 cm
4 cm
9. The figure below is a rectangle, drawn to a scale of 1 cm: 200 m. Given that AB = 6 cm and
BC = 4 cm, find the actual
a) length and breadth of the rectangle;
b) area of the rectangle in km2
.
A B
D C
6 cm
4 cm
10. The scale of a map is 1 : 20 000. Find the area on the map which represents 124 km2
.

35
11. A map is drawn to a scale of 1: 50 000.
a) Calculate the actual distance, in kilometers, represented by 4 cm on the map.
b) Two towns are 28 km apart. Calculate, in centimeters, their distance apart on the map.
c) On the map, a forest has an area of 12 cm2
. Calculate, in square kilometers, the actual area
of the forest.
12. A school librarian has enough money to order 8 paperback books at Rp.55,000 each. If the
librarian decides instead to order books with hard covers at Rp.88,000 each, how many books
can the librarian buy?
13. Thirty-five workers build a house in 16 days. How many days will 28 workers working at the
same rate take to build the same house’?
14. A contractor estimates that he would need 56 workers to complete a job in 21 days. If he is
asked to complete the job in 14 days, find the additional number of workers he has to employ.
1. The scale of a map is 1: 20 000. What is
the distance in km of a road represented
by 51 cm on the map?
a. 1020000 c. 102000
b. 1020 d. 102
2. In the given figure below, ABC is a
triangle of height 4 cm and base 7 cm,
drawn to a scale of 1 cm : 3 km. Find the
actual area of the triangle.

36
A B
C
7 cm
4 cm
a. 94 km2
c.126 km2
b. 63 km2
d. 21 km2
3. Thirty-five workers build a house in 16
days. How many days will 28 workers
working at the same rate take to build the
same house’?
a. 10 workers c. 7 worker
b. 20 workers d. 25 workers
4. A contractor estimates that he would need
56 workers to complete a job in 21 days.
If he is asked to complete the job in 14
days, find the additional number of
workers he has to employ.
a. 84 workers c. 28 workers
b. 14 workers d. 7 workers
5. 800 cookies are divided among Sita, Joni
and Komang in the ratio 3 : 8 : 9. Which
of the following statements below is not
true?
a. Joni received 320 cookies.
b. Joni received 200 more cookies than
Sita.
c. Joni received 40 fewer cookies than
Komang
d. Joni received 150 fewer cookies than
what Komang and Sita received.
6. The number of stamps owned by Sumer,
Nisan and Jalal is in the ratio 5 : 6 : 7.
The total number of stamps is 540. Nisan
gives 50 of his stamps to Sumer and 40
stamps to Jalal. The new ratio of Sumer’s,
Nisan’s and Jack’s stamps is
a. 30 : 16 : 23
b. 9 : 2 : 7
c. 20 : 9 : 25
d. 15 : 11 : 20
7. The value of donations collected by
Marni, Joyce and Siti for a ‘Panti
Asuhan’ is in the ratio 5 : 7 : 8. The
difference in donations between Marni
and Joyce is Rp.64 000. Calculate how
much Siti collected.
a. Rp.640 000 c. Rp.256 000
b. Rp.268 000 d. Rp.224 000.
End of semester Test
1. There are 268 pens in a box. 64 of
them are red pens, 49 are blue pens and
the rest are black pens. How many black
pens are there in the box?
a. 76 c. 84
b. 110 d. 155
2. The total mass of Agung, Candra,
and Suwi is 156 kg. Candra weighs 48
kg. If Suwi 4 kg lighter than Candra, find
Agung’s mass in kg
a. 58 c. 64
b. 65 d. 67
3. If ,3−=x 4=y , and 2zand −= then
the value of yzx 23
− is …
a. −43 c. −11
b. −25 d. 7
4. If x =−2 and y = −1, the value of
xyx +− 3
2 is
a. −14 c. 18
b. −18 d. 20
7
2
except
a.
14
4
c.
49
14
b.
35
10
d.
54
18
6. The percent expression of
25
6
is
a. 0.24% c. 42%
b. 2.4% d. 24%

37
7.
15
14
,1,
9
8
arranged in ascending order is
a.
9
8
,
15
14
,1 c. 1,
15
14
,
9
8
b. 1,
9
8
,
15
14
d.
15
14
,
9
8
,1
8. Which of the following sets of fractions
are arranged in ascending order?
a.
4
1
,
3
1
,
2
1
c.
4
1
,
8
3
,
8
5
b.
3
2
,
5
2
,
9
2
d.
8
1
,
4
3
,
2
1
9.
6
5
,
16
11
,,
6
1
x are arranged in ascending
order. The value of x is
a.
7
1
c.
12
5
b.
7
2
d.
18
7
10. 1 892 437 when written in words
is
a. One million eight hundred and
ninety-two four hundred and thirty-
seven
b. One million thousand eight hundred
and ninety-two four hundred and
thirty-seven
c. One million eight thousand ninety-
two four hundred and thirty-seven
d. One million eight hundred and
ninety-two thousand four hundred and
thirty-seven
11. The least common factors of
23
10 rqp and 42
18 rqp is…
a. 2
90pqr c. 2
180 pqr
b. 432
90 rqp d. 432
190 rqp
12. The least common multiple (LCM) of
yxyx 223
8and12 is
a. 23
12 yx c. 23
24 yx
b. 22
48 yx d. 22
24 yx
13. What is the result of
1 3
7 2
2 8
⎛ ⎞
− − −⎜ ⎟
⎝ ⎠
a. -5
1
8
c. -9
1
8
b. -5
7
8
d. -9
7
8
14. The standard form of 0.02756 with a
rounding off up to one decimal is...
a. 2.7 × 10-3
c. 2.7 × 10-2
b. 2.8 × 10-2
d. 2.8 × 10-3
15. The lowest common multiple of 6, 8 and
16 is
a. 16 c. 24
b. 32 d. 48
16. Which of the following is the highest
common factor of 36 and 60
a. 12 c. 14
b. 18 d. 20
17. Subtract 432from647 22
+++− xxxx
a. 25 2
−−− xx
b. 25 2
−−− xx
c. 25 2
+− xx
d. 275 2
−+− xx
18. A school bought 25 packs of books with a
price of Rp.375.000 (1 pack contains 40
books). If the school sells those books
and expects a profit of 20%, then the
selling price of the book is….
a. Rp.300 c. Rp.400
b. Rp.450 d. Rp.475
19. The cost of a dozen shirts is Rp.96.000. If
the shirt is sold at Rp.10.000 for one
shirt, the percent of the profit is…
a. 20% c. 25%
b. 35% d. 40%
20. A sporting store purchases 50 tennis
racquets for Rp.5,500,000. They sell each

38
racquet for Rp.175,000 What is the
percentage of total profit?
a. 59% c. 30%
b. 40% d. 29%
21. An egg seller sold 150 eggs for Rp.700
per egg. Since some of the eggs are
broken, he got lost Rp.7.500. What is the
buying price?
a. Rp.97 500 c. Rp.112 500
b. Rp.105 000 d. Rp.115 500
22. Rudy gets a bonus 10% of his salary once
every three months. If his salary per
month is Rp.200.000. What is the total
bonus he gets for 2 years?
a. Rp.40 000 c. Rp.120 000
b. Rp.160 000 d. Rp.480 000
23. What is the % discount given when
Rp.637,500 is paid for products costing
Rp.750.000?
a. 15% c. 20%
b. 25% d. 30%
24. A retailer purchased a car from a
manufacturer and received a 30% trade
discount. The original (list) price was
Rp.124.000.000. What price did the
retailer pay?
a. Rp.37,200,000 c. 161,200,000
b. Rp.86,800,000 d. 124,000,000
25. How much has a customer to pay for an
article costing Rp.240.000 with a 3%
Value Added Tax (VAT) imposed on it?
a. Rp.247 200 c. Rp.232 800
b. Rp.243 000 d. Rp.237 000
26. The sum of three consecutive odd
numbers is 243. Find the three numbers.
a. 77,79,81 c. 79, 81, 83
b. 81,83,85 d. 79, 83, 85
27. When a number is multiplied by 5, it
gives the same result as when 48 is added
to twice the number. What is the number
a. 12 c. 16
b. 18 d. 14
28. Which of the following graphs represents
the set { }Rxxx ∈≤≤− ,34 ?
3-4
-4 3
-4 3
3-4
a.
b.
c.
d.
2
1
3
4
3
≤−++ xx is
a. 2≥x c.
5
1
≥x
b. 1≤x d. 1>x
30. The solution of ( ) ( )
2
1
1
3
1
4
2
1
≥+−− nn is
a.
5
6
−≥n c.
5
6
≤n
b.
6
5
−≥n d.
6
5
≤n
Reference:
1. Sudjatmiko, Pontjo. Mathematika Kreatif. Konsep dan Terapannya,1A. PT. Tiga Serangkai
Pustaka Mandiri.
2. Cholik, M. and Sugiono. Matematika untuk SMP Kelas VII. 1A. Penerbit Erlangga

39
3. Song T.K and L.C. Keong. New Syllabus Mathematics 1. Shinglee Publisher. Singapore
4. Mc. Seveny, A. et al. Signpost Mathematics 9, Advance Course. Longman
5. Tim Studi Grup SMP. Soal-soal Uji Kompetensi Matematika SMP. Penerbit Pustaka Setia
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