Fraction Test — Questions and Answers

Question 1: A bag of candy has 36 pieces. After giving 1/4 to one friend and 1/3 to another, how many pieces are left?

21 (Correct answer)
18
9
15

Correct answer: 21

1/4 × 36 = 9 and 1/3 × 36 = 12; total given = 21, so 36 − 21 = 15 pieces remain.

Question 2: Are 8/12 and 10/15 equivalent fractions?

No, they are different values
Yes, both equal 2/3 (Correct answer)
No, 8/12 is greater than 10/15
Yes, both equal 3/4

Correct answer: Yes, both equal 2/3

Both 8/12 (÷4) and 10/15 (÷5) simplify to 2/3, confirming they are equivalent.

Question 3: Convert ⅖ to a percentage.

40% (Correct answer)
30%
25%
50%

Correct answer: 40%

To convert a fraction to a percentage, first convert it to a decimal by dividing the numerator by the denominator (2 ÷ 5 = 0.4). Then, multiply the decimal by 100 and add the percent symbol. So, 0.4 × 100 = 40%, making 40% the correct answer.

Question 4: Which mixed number is the largest?

3 3/5
3 5/8
3 1/2
3 2/3 (Correct answer)

Correct answer: 3 2/3

3 2/3 ≈ 3.667 is the largest among 3.5, 3.6, and 3.625.

Question 5: What is 2 1/2 × 2?

4
5 1/2
5 (Correct answer)
4 1/2

Correct answer: 5

Convert to improper fraction: 5/2 × 2 = 10/2 = 5.

Question 6: What is the 5th term in the sequence 1/5, 2/5, 3/5, 4/5?

1/5
4/5
6/5
5/5 (or 1) (Correct answer)

Correct answer: 5/5 (or 1)

The numerator increases by 1, so the 5th term is 5/5, which equals 1.

Question 7: In the sequence 6/7, 5/7, 4/7, 3/7, what is the pattern?

The numerator and denominator both decrease
Add 1/7 each time
Subtract 1/7 each time (Correct answer)
Divide by 7 each time

Correct answer: Subtract 1/7 each time

Each term decreases by 1/7, as the numerator decreases by 1 while the denominator stays at 7.

Question 8: Which fraction is closest to 1?

5/6
3/4
8/9 (Correct answer)
7/8

Correct answer: 8/9

8/9 ≈ 0.889, which is the largest value and closest to 1 among the options.

Question 9: Which pair of fractions is in ascending order?

5/9 and 4/9
3/5 and 2/5
7/8 and 6/8
3/7 and 4/7 (Correct answer)

Correct answer: 3/7 and 4/7

With the same denominator, 3/7 < 4/7 because 3 < 4.

Question 10: What pattern do the fractions 1/1, 2/4, 3/9, 4/16 follow?

Each fraction equals 1
Numerator over numerator squared (Correct answer)
Add 1 to numerator and denominator
Subtract the denominator from numerator

Correct answer: Numerator over numerator squared

Each fraction is n/n², where n is the term number: 1/1, 2/4, 3/9, 4/16.

Question 11: Estimate 2 1/10 + 3 7/8 to the nearest whole number.

7
5
4
6 (Correct answer)

Correct answer: 6

2 1/10 ≈ 2 and 3 7/8 ≈ 4, so the estimated sum is about 6.

Question 12: Convert the improper fraction 22/7 to a mixed number.

3 1/7 (Correct answer)
3 2/7
4 1/7
2 6/7

Correct answer: 3 1/7

22 ÷ 7 = 3 remainder 1, so 22/7 = 3 1/7.

Question 13: In the proportion 3/4 = ?/20, what is the missing numerator?

12
16
15 (Correct answer)
18

Correct answer: 15

Since 4 × 5 = 20, multiply the numerator 3 by 5 to get 15, making 3/4 = 15/20.

Question 14: A box holds 48 apples. If 5/6 of them are red, how many apples are NOT red?

8 (Correct answer)
10
6
40

Correct answer: 8

5/6 × 48 = 40 red apples, so 48 − 40 = 8 apples are not red.

Question 15: A rope is 3/4 of a meter long. It is cut into 3 equal pieces. How long is each piece?

3/12 meter
1/3 meter
1/4 meter (Correct answer)
1/8 meter

Correct answer: 1/4 meter

(3/4) ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4 meter per piece.

Question 16: What is the missing term: 5/12, __, 7/12, 8/12?

7/12
5/12
6/12 (Correct answer)
4/12

Correct answer: 6/12

The numerator increases by 1 each step, so the missing term is 6/12.

Question 17: Which fraction lies between 1/3 and 1/2?

2/3
1/4
2/5 (Correct answer)
3/5

Correct answer: 2/5

2/5 = 0.4, which falls between 1/3 ≈ 0.333 and 1/2 = 0.5.

Question 18: Which set of fractions is correctly ordered from greatest to least?

3/4, 7/8, 5/8
5/8, 3/4, 7/8
7/8, 3/4, 5/8 (Correct answer)
7/8, 5/8, 3/4

Correct answer: 7/8, 3/4, 5/8

Using eighths: 7/8 > 6/8 (3/4) > 5/8 confirms the descending order.

Question 19: Lisa has $60. She spends 1/4 on a game and 1/3 on a book. How much money does she have left?

$30
$20
$25 (Correct answer)
$35

Correct answer: $25

She spent 1/4 + 1/3 = 7/12 of $60 = $35, leaving $60 − $35 = $25.

Question 20: Which list shows fractions in descending order?

3/4, 5/6, 2/3
5/6, 3/4, 2/3 (Correct answer)
5/6, 2/3, 3/4
2/3, 3/4, 5/6

Correct answer: 5/6, 3/4, 2/3

5/6 ≈ 0.833, 3/4 = 0.75, 2/3 ≈ 0.667, confirming descending order.

Question 21: Which fraction is approximately equal to 0.33?

1/3 (Correct answer)
2/5
1/5
1/4

Correct answer: 1/3

1/3 ≈ 0.333, which is the closest to 0.33.

Question 22: How many terms are in the sequence 1/9, 2/9, 3/9, ... , 9/9?

10
9 (Correct answer)
18
8

Correct answer: 9

The numerators run from 1 to 9, giving exactly 9 terms.

Question 23: Which is the best estimate for 4/9 + 3/7?

About 2
About 1 1/2
About 1/2
About 1 (Correct answer)

Correct answer: About 1

4/9 ≈ 1/2 and 3/7 ≈ 1/2, so the sum is approximately 1.

Question 24: Which improper fraction is equivalent to 5 1/4?

22/4
20/4
19/4
21/4 (Correct answer)

Correct answer: 21/4

5 × 4 + 1 = 21, so 5 1/4 = 21/4.

Question 25: Is 13/14 closest to 0, 1/2, or 1?

1 (Correct answer)
Between 1/2 and 1 equally
1/2
0

Correct answer: 1

13/14 ≈ 0.929, which is closest to 1.

Question 26: Three friends share 3/4 of a pie equally. What fraction does each friend get?

1/8
3/12
1/3
1/4 (Correct answer)

Correct answer: 1/4

(3/4) ÷ 3 = 3/4 × 1/3 = 3/12 = 1/4 of the pie each.

Question 27: Sarah read 2/5 of a book on Monday and 1/5 on Tuesday. What total fraction did she read?

1/5
3/10
3/5 (Correct answer)
2/10

Correct answer: 3/5

2/5 + 1/5 = 3/5 of the book was read over the two days.

Question 28: In a growing pattern, the first three terms are 1/10, 3/10, 5/10. What is the 6th term?

11/10 (Correct answer)
12/10
10/10
9/10

Correct answer: 11/10

The sequence increases by 2/10 each step; the 6th term is 1/10 + 5(2/10) = 11/10.

Question 29: What is ⅚÷⅔?

⁵⁄₄ (Correct answer)
¹⁰⁄₈
¹⁵⁄₁₂
⁵⁄₉

Correct answer: ⁵⁄₄

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of ⅔ is ³⁄₂. So, ⅚ ÷ ⅔ becomes ⅚ × ³⁄₂. Multiplying the numerators (5×3=15) and denominators (6×2=12) gives ¹⁵⁄₁₂, which simplifies to ⁵⁄₄.

Question 30: Which fraction is equivalent to 0.6?

2/3
6/7
3/5 (Correct answer)
5/8

Correct answer: 3/5

0.6 = 6/10, which simplifies to 3/5.

Fraction Test

A comprehensive mathematics assessment evaluating understanding of fractions, including operations, comparison, ordering, pattern recognition, and real-world word problem applications. Commonly used in elementary and middle school curricula to assess fraction proficiency.

Questions

35 min

Time Limit

70%

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