1. PSP 21
Unit: Fractions

2. Question 1
3
The mass of one of the sacks is the mass
of the other 4
One sack
42
The other
sack
42 ÷ 7 = 6 (1 unit)
?
7 units -> 42
4 x 6 = 24 (4 units, heavier sack)
Answer: 24 kg

3. Question 2
4
Jody has as much money as Charlie.
9
Jody
$650
Charlie
650÷13= 50 (1 unit)
?
13 units -> 650
50 x 9 = 450 (9 units, Charlie)
Answer: $450

4. Question 3
5
The cost of the mini-compo set is the cost
of the television set. 7
?
Mini-compo
$2520
Television
2520 ÷ 12= 210 (1 unit)
12 units -> 2520
210 x 5 = 1050 (5 units, mini-compo)
Answer: $1050

5. Question 4
3
The purse costs as much as the bag.
4
purse
bag
$35
35 ÷ 7= 5(1 unit)
?
7 units -> 35
5 x 4 = 20 (4 units, bag)
Answer: $20

6. PSP
22
Unit: Fractions

7. Question 1
7
Carol’s mass is of George’s.
9 24 kg
Carol
George
24 ÷ 2= 12 (1 unit)
?
2 units -> 24
9 x 12 = 108 (9 units, George)
Answer: 108 kg

8. Question 2
4
The cost of the clock is of the cost of the
watch. 7
$48
clock
?
watch
48 ÷ 3= 16 (1 unit)
3 units -> 48
16 x 11 = 176 (11 units, total)
Answer: $176

9. Question 3
4
The amount of money in Zilong’s wallet is of
the amount in Mary’s handbag. 9
? $25
Zilong
Mary
25 ÷ 5= 5 (1 unit)
5 units -> 25
5 x 4 = 20 (4 units, total)
Answer: $20

10. Question 4
5
The number of boys in a hall is the number
8
of girls.
72
Zilong
?
Mary
72 ÷ 3= 24 (1 unit)
3 units -> 72
13 x 24 = 312 (13 units, total)
Answer: 312

11. PSP 23
Unit: Fractions

12. Question 1
1
After giving away of his pencils...
3 total
left
How many units left? 3 – 1 = 2
pencils
left 10 70
rulers
60 ÷ 5 = 12 (1 unit)
70 – 10 = 60 (5 units)
12 x 3 = 36 (3 units, pencils at first)
Answer: 36

13. Question 2
3
If he sells away of his chickens…
left
4 total
How many units left? 4 – 3 = 1
chickens
left 400 700
ducks
300 ÷ 5 = 60 (1 unit)
700 – 400 = 300 (5 units)
400 +60 = 460 (ducks)
60 x 4 = 240 (chickens)
460 – 240 = 220 (ducks more than chickens) Answer: 220

14. Question 3
1
After spending of her $2-notes….
left
3 total
How many units left? 3 – 1 = 2
$2-notes
left 10 50
$5-notes
(b)
$2 x 24 = $48 (total value of $2-notes)
8 x 3 = 24 (total number of $2-notes)
(a)
40 ÷ 5 = 8 (1 unit) 26 x $5 = $130 (total value of $5-notes)
50 – 10 = 40 (5 units)
8 x 2 = 16 (2 units) $130 + $48 = $178
16 + 10 = 26 ($5-notes)
Answer: (a)26 (b) $178

15. Question 4
1
She gave of her balls to Jane …
5 total
left How many units left? 5 – 1 = 4
balls
left 10 82
marbles
72 ÷ 9 = 8 (1 unit)
82 – 10 = 72 (9 units)
8 x 4 = 32 (4 units, marbles at first)
Answer: 32

16. PSP 24
Unit: Fractions

17. Question 1
Have equivalent fractions
so you can add or minus
easily!
Answer: 40

18. Question 2
Have equivalent fractions
so you can add or minus
easily!
Answer: 720

19. Question 3
Have equivalent
fractions so you can
add or minus easily!
(a)

20. Question 3
b)
Answer: (a)48 (b)_____

21. PSP 25
Unit: Fractions

22. Question 1
1
I spent of my money on a bag….
5 total
Remainder -> 5 – 1 = 4
bag remainder
pencils
$90 ÷ 3 = $30 ( 1 unit)
blouse $90
$30 x 5 = $150 (at first)
Answer: $150

23. Question 2
1
I spent of my money on a television set….
9 total
Remainder -> 9 – 1 =8
Television set remainder
refrigerator
$420
$420 ÷ 3 = $140 (1 unit)
$140 x 5 = $700 (refrigerator)
Answer: $700

24. Question 3
2
of the coins in a box are 10-cent coins …
11 total (Remainder -> 11 units – 2 units = 9 units)
10-cent coins remainder
$1-coins 50 –cent coins
30 ÷ 3 = 10 (1 unit)
5 units – 2 units = 3 units ($1-coins more than 10-cent coins)
10 x 2 = 20 (10-cent coins)
10 x 5 = 50 ($1-coins)
10 x 4 = 40 (50-cent coins)

25. Question 3
20 x 10 cents = 200 cents = $2 ( value of 10-cent coins)
50 x $1 = $50 (value of $1 coin)
40 x 50 cents = 2 000 cents = $20 (value of 50-cent coins)
$2 + $50 + $20 = $72
Answer:
i)20 (10-cents coins), 50 ($1 coins), 40 (50-cents coins)
j)$72