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Unit 5 Practice Test
Fractions, Ratios, and Percents
Part A
1. Write each mixed number as an improper fraction.
a)
3 94
______________________ b) 4 21 ______________________
c) 5 54 ______________________ d) 1 35 ______________________
2. Write each improper fraction as a mixed number.
a)
19
3
______________________
b)
29
7
c)
10
4
______________________
d)
7
2
______________________
______________________
3. Place the numbers in each set on the number line.
a) 24 , 74 , 1 38
b)
4
3
,
4
6
, 2 21
4. Order the numbers in each set from least to greatest. Show your work.
66
a) 1 54 ,
12
10
,
3
5
_____________________________________________________
b) 1125 ,
3
6
,
1
3
_____________________________________________________
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5. Write a fraction, a decimal, and a percent to name the shaded part of each grid.
a)
b)
6. Use the grids in question 5.
Write a fraction, a decimal, and a percent to describe the unshaded part of each grid.
a) ______________________________________________________________
b) ______________________________________________________________
7. Write each fraction as a percent and as a decimal.
a)
12
50
d)
1
5
____________
b)
4
10
______________
e)
6
20
_____________
c)
1
4
_____________
_____________
8. Is each fraction or decimal greater or less than 25%? Explain how you know.
a) 0.19 __________________________________________________________
b)
4
10
___________________________________________________________
c)
2
5
____________________________________________________________
d) 0.5 ___________________________________________________________
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9. Write a ratio to show the number of:
a) circles to squares _________
b) triangles to circles __________
c) squares to triangles _________ d) circles to all shapes _________
10. Write 3 equivalent ratios for each ratio.
a) 4 : 5 _________________________________________________________
b) 90 : 30 _______________________________________________________
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Unit Test continued
Master
11. Find all ratios that are equivalent to 4 : 6 and have a first term that is less than 40.
_______________________________________________________________
_______________________________________________________________
Part B
12. Jake got 17 out of 25 on a project. Makayla got 76% on the same project.
Which student got the higher mark? Explain.
13. Ian uses 4 parts sugar for every 3 parts of flour to make a cake. Suppose Ian uses
20 parts of sugar. How many parts of flour will he use?
14. Write a percent that represents:
a) about
2
3
of something ____________
b) between 0.25 and 0.40 of something ____________
c) a little less than
8
10
of something ____________
Part C
15. Explain what 50% means. Show and describe it in as many ways as you can.
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Unit 5 Test Sample Answers
Master
10. a) 6 : 10, 9 : 15, 12 : 20
b) 9 : 3, 3 : 1, 6 : 2
Unit Test – Master 5.22
Part A
1. a)
13
9
b)
27
7
c)
14
5
d)
7
4
11. 10 : 18, 15 : 27, 20 : 36, 25 : 45, 30 : 54,
35 : 63
Part B
2
3
b)
3
c) 2 34
d)
3 21
2. a) 5
Date
12.
2
9
19
25
76
100
=
= 76%
79% > 76%
Cindy got the higher mark.
13. 3 : 2 = 15 : 10
Kwasi will use 10 parts of vinegar.
3. a)
b) Students may further divide the number
line into sixths.
14. a) 33%
b) 19%
c) 89%
Part C
15. 75% is another way of saying 75 hundredths.
75
It is another way of writing 100
, or 0.75.
4. a) I write all fractions with denominator 10.
8
4
1 52 = 75 = 14
10 ; 5 = 10
Then I write the fractions in order from
least to greatest: 54 , 1 52 , 17
10
75
100
=
3
4
, so 75% of something is
3
4
of it.
This grid has 100 small squares.
75 of them are shaded.
So, we can say 75% of the grid is shaded.
b) I write all fractions with denominator 12.
10
19
5
4
7
1
6 = 12 ; 3 = 12 ; 1 12 = 12
Then I write the fractions in order from
7
least to greatest: 31 , 56 , 1 12
5. a)
24
100
, 0.24, 24%
b)
17
100
, 0.17, 17%
6. a)
76
100
, 0.76, 76%
b)
83
100
, 0.83, 83%
7
a) 18%, 0.18
c) 75%, 0.75
e) 15%, 0.15
b) 10%, 0.1
d) 40%, 0.4
8. a) Less than 25%; 0.17 =
b) Greater than 25%;
c) Less than 25%;
1
5
3
10
=
17
100
=
20
100
d) Greater than 25%; 0.4 =
9. a) 3 : 4
c) 4 : 2
70
= 17%
30
100
= 30%
= 20%
4
10
This rectangle is divided into 4 equal parts.
Each part is 41 .
=
40
100
= 40%
1
4
=
25
100
= 0.25 = 25%
Each shaded part of the rectangle is 25%.
25% + 25% + 25% = 75%
So, 75% of the rectangle is shaded.
b) 2 : 3
d) 3 : 9
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The right to reproduce or modify this page is restricted to purchasing schools.
This page may have been modified from its original. Copyright © 2009 Pearson Education Canada