Name Date

Grade 7 Math Test

Fractions, decimals and percents

Part A: Multiple Choice - Circle the letter of the correct answer. (20 marks)

1. Estimate which answer is less than 1.

1 1 2 5 1 5 1
a) b) 2 c) d) 1
3 2 4 6 3 6 2

2. Which quiz mark would be the same as 80%?

2 3 3 4
a) b) c) d)
4 5 4 5

3. What is the best estimate for the percentage that is shaded in the diagram?

a) 33% b) 50% c) 66% d) 110%

2
4. How much is of 35 ?
5

a) 175 b) 70 c) 14 d) 7

3 1
5. A recipe calls for of a cup of sugar. Jordan wants to make of the recipe. How much sugar will
8 3
Jordan need?
1 1 1 4
A. B. C. D.
8 3 4 11

1 1
6. In the gym of the people are men, of the people are women, and the rest are children. If there
4 3
are 420 people in the gym, how many are children?

A. 105 B. 175 C. 245 D. 120

7. Which answer is least ?
1
A. 3 - 1
2
7 5
B. +
8 6
1 1
C. 1 + 1
4 16
1
D. 2 -
3

8. Which of the following fractions can be written as a terminating decimal?

5 3 3 5
A. B. C. D.
7 8 9 12

5
9. Which decimal represents ?
8
A. 0.125 B. 0.58 C. 0.6 D. 0.625

1
10. 1 is fractions between which set of numbers?
3
A. 1.3 and 1.4
B. 1.2 and 1.3
C. 1.1 and 1.2
D. 1.4 and 1.5

32
11. Write the fraction in simplest form (lowest terms)
56
6
A.
28
4
B.
7
8
C.
14
9
D.
14

12. Which does not mean 75%?

6
A.
8
B. 0.75
3
C.
4
7
D.
5

1 2 3
13. If = 0.090909. = 0.181818. = 0.272727.. Then 0.6363636would
11 11 11
equal:
2
 2
A.
9
5
B.
9
5
C.
11
7
D.
11

2
14. What is of 27?
3
A. 9 B. 18 C. 40.5 D. 54

15. Express 47 % as a decimal.

A. 0.0047 B. 4.7 C. 0.47 D. 470

3 9
16. Which number completes the equivalent fraction? =
8
A. 11
B. 14
C. 24
D. 27

17. Which fraction is in lowest terms?

5
A.
12
2
B.
8
9
C.
6
7
D.
56

2
18. Which is the reciprocal of 1 ?
3
3
A. 1
2
1
B.
4
3
C.
5
5
D.
3
5 1 1
19. 2 + +7 =
6 3 2

3
 7 11 2 3
A. 9 B. 9 C. 10 D. 10
11 7 3 2

2
20. Which is the reciprocal of ?
3
2 1 1 1
A. B. 1 C. D. 1
3 2 3 3

Part B: Make sure to answer ALL of the following questions. YOU

MUST SHOW YOUR WORK! ALL ANSWERS MUST BE IN LOWEST
TERMS. MARKS WILL BE TAKEN OFF IF THEY ARE NOT!

9
1. The product of two fractions is . What could they be? (4 marks)
14

1 2
2. How many litres are in 4 litres? - SHOW YOUR WORK! (5 marks)
3 3

1 1
3. Use a diagram CLEARLY show of . What is the answer? ( 6 marks)
2 3

4. a). What is a terminating fraction? EXPLAIN it in words and give an example of a fraction that
terminates. ( 6 marks )

4
 b). What is a repeating fraction? EXPLAIN it in words and give an example of a fraction that
repeats. ( 6 marks)

5. Fill in the blanks in the following table. MAKE SURE TO PUT THE FRACTIONS IN LOWEST
TERMS!: (12 marks)

Percents Decimal Fraction ( lowest terms )

0.50

0.1

2
3
1
4
250%

125 %

6. Write each fraction in lowest terms: ( 8 marks)

9 6 15 27
a). = b). = c). = d). =
81 36 45 33

7. Add the following fractions. MAKE SURE TO SHOW YOUR WORK AND PUT YOUR ANSWERS IN
LOWEST TERMS! ( 9 marks )

5
 5 4 2 1 4 1
a). + b). 2 + 2 c). +
6 6 3 2 5 3

8. Subtract the following fractions. MAKE SURE TO SHOW YOUR WORK AND PUT YOUR
ANSWERS IN LOWEST TERMS! ( 9 marks)

2 2 5 2 3
a). 1 - b). 2 - c). -
5 6 6 3 4

9. Multiply the following fractions. MAKE SURE TO SHOW YOUR WORK AND PUT YOUR ANSWERS
IN LOWEST TERMS! ( 9 marks)

4 1 2 2
a). X b). of 24 c). 4 X 2
6 2 3 5

10. Divide the following fractions. MAKE SURE TO SHOW YOUR WORK AND PUT YOUR ANSWERS
IN LOWEST TERMS! ( 9 marks)

2 4 1 4 4
a). b). 4 c).
3 5 4 3 5

BONUS
6
 2
Kelsey received money for her birthday. She spent of the money on make-up. She donated
7
1
2
Of what was left to charity. She had $17.50 left. How much did Kelsey receive for her
birthday?