Practice Test
Number Sense – Fractions
Name:____________
Section A
1. A basketball team wins 9 games, loses 6 games and ties 3 games. What fractions of the games did
the team:
9/
1
6/
1
3/
1
18 or /2
18 or /3
18 or /6
a) win? _________
b) lose? _________
c) tie? _________
2. What fraction of each figure is the shaded part?
a)
b)
1/ or 2/
3
6
_________
c)
1/
2
_________
d)
5/
6
_________
1/
6
_________
3. What fraction of each figure is the shaded part?
a)
b)
3/
8
_________
c)
1/
4
_________
d)
4/
9
_________
1/
12
_________
4. Write the fractions in order from least to greatest: Draw pictures for each once they’re in order
2 1 3
a) 4 , 4 , 4
2 1 3
2
1
8
b) 11 , 11 , 11
2
1
5
2
9
c) 18 , 18 , 18
3
2
1
3
5. Write the fractions in order from least to greatest:
1 1
1
a) 7 , 5 , 13
2
2
2
b) 19 , 9 , 17
2 3 1
1 3 2
9
9
9
c) 28 , 16 , 23
1
3
2
1
1
6. a) Is 4 of Figure 1 the same amount as 4 of Figure 2?
NO
b) Explain why or why not:
Figure 1
Figure 2
They both show 1/4 but each outer triangle is a different size
so their parts (quarters) are not the same
7. Shade one piece at a time until you have shaded the amount of pie given in bold. Then write an
improper fraction for the amount of pie:
a) 3
1
2
b) 4
Improper fraction: 7 2
/
3
4
Improper fraction:
19/
4
8. Shade one piece at a time until you have shaded the amount of pie given in bold. Then write a mixed
fraction for the amount of pie:
a)
7
3
b)
Mixed fraction:
21
6
2 1 /3
Mixed fraction:
33/6 or 31/2
25
9. How could you use division to find out how many whole pies are in 3 of a pie? Explain your answer:
25/ = 25 ÷ 3 = 81/
3
3 , so there are 8 whole pies
Section B
10. Group the buttons to make an equivalent fraction:
a)
b)
4
= 2 /3
6
8
= 4 /5
10
11. Cut each pie into smaller pieces to make an equivalent fraction:
a)
b)
2
4
3 = 6
c)
2
6
3 = 9
1
4
2 = 8
12. A pizza is cut into 6 pieces. Each piece has at least one topping: green peppers, tomatoes or both.
1
5
3 of the pizza is covered in green peppers. 6 of the pizza is covered in tomatoes. Draw a picture to
show how many pieces have both green peppers and tomatoes on them:
Any 2 slices must have green peppers
1 slice has both
Any 5 slices must have tomatoes
13. Solve:
1
3
a) 6 of 18 = _______
3
15
b) 5 of 25 = _______
2
c) 3 of 15 = 10
_______
2
4
d) 5 of 10 = _______
5
14. Gerald has 12 oranges. He gives away 6 of the oranges.
a) How many oranges did he give away? Show your work.
5/
1/
6
b) How many oranges did he keep? Show your work.
6
He gave away 10 oranges and kept 2
5/
1/
6
6
1
2
15. Mina has a collection of 30 sports cards. 3 of the cards are baseball cards. 5 of the cards are hockey
cards. The rest of the cards are soccer cards. How many of Mina’s cards are soccer cards?
1/
3
2/
of 30 is 10
10 cards are
baseball cards
5
of 30 is 12
30 – 10 – 12 = 8
12 cards are
hockey cards
8 cards are
soccer cards
16. Write the fractions in order from least to greatest. (First, change the fractions in each set so they share
the same denominator.)
1
a) 2
5/
10
3
5
6/
10
2
3
3/
1/
10
2
3
10
3/
b)
10
10/
1
3/
5
5
6
12
3
5/
12
1
2
6/
5
12
12
2
1/
2
1
2
8
1
4
2/
8
7
8
7/
2
1
3
c)
5/
12
1
5/
6
4/
1/
4
1/
2
7/
8
8
3
1
17. A recipe for chilli calls for 8 of a can of beans and a recipe for soup calls for 4 of a can. Which recipe
uses more beans? Explain.
1/ is equal to 2/
4
8
and 3/8 is more than 2/8
1
9
18. Draw a picture to show which fraction is greater: 2 2 or 4
2
1
2
9
4