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CBSE · Class 6 · Mathematics

Fractions

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
Which fraction is equivalent to 2/3?
  1. 12/3
  2. 8/9
  3. 2/18
  4. 12/18
2.
56/63 in its simplest form is:
  1. 56/9
  2. 9/8
  3. 8/9
  4. 9/10
3.
Which is greater: 1/8 or 3/8?
  1. both are equal
  2. cannot be compared
  3. 1/8
  4. 3/8
4.
A fraction whose numerator is less than its denominator is called a:
  1. proper fraction
  2. improper fraction
  3. mixed fraction
  4. whole number
5.
22/4 as a mixed number is:
  1. 5 1/2
  2. 5 4/2
  3. 2 5/4
  4. 6 2/4
6.
5/12 + 6/12 = ?
  1. 12/12
  2. 11/24
  3. 30/12
  4. 11/12
7.
What fraction of an hour is 10 minutes?
  1. 1/6
  2. 1/10
  3. 10/100
  4. 5/6
8.
2 5/8 as an improper fraction is:
  1. 16/5
  2. 7/8
  3. 21/8
  4. 18/8
Section B — Short answer8 × 2 = 16 marks
9.
Add: 4/7 + 1/8
10.
Subtract: 5/8 − 2/9
11.
Add: 4 5/6 + 2 3/5
12.
Arrange in ascending order: 5/8, 1/9, 2/5
13.
Write 20/9 as a mixed number.
14.
Fill in the blank: 5/8 = ____/48
15.
Subtract: 5 − 1/4
16.
Reduce to lowest terms: 40/64
Section C — Word problems4 × 4 = 16 marks
17.
Ritu ate 4/7 of a cake and her brother ate 3/8 of it. What fraction of the cake did they eat together? What fraction is left?
18.
A rope is 6 2/3 m long. Raju cuts off 1 2/3 m. How long is the remaining rope?
19.
There are 20 students in a class. 2/5 of them are girls. How many girls and how many boys are there?
20.
Asha has read 3/4 of her storybook. Vikram has read 4/7 of the same book. Who has read more, and by how much?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 6 · Mathematics

Answer key

Fractions · AW-6M-FRA-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) 12/18multiply top and bottom by 6
2(c) 8/9divide top and bottom by 7
3(d) 3/8same denominator: the bigger numerator wins
4(a) proper fraction—
5(a) 5 1/222 ÷ 4 = 5 remainder 2
6(d) 11/12add the numerators, keep the denominator
7(a) 1/610/60 = 1/6
8(c) 21/82 × 8 + 5 = 21
939/56LCM of 7 and 8 is 56; 39/56
1029/72common denominator 72; 29/72
117 13/30wholes 6, parts 5/6 + 3/5; total 7 13/30
121/9, 2/5, 5/85/8 ≈ 0.62; 1/9 ≈ 0.11; 2/5 ≈ 0.40
132 2/920 ÷ 9 = 2 remainder 2
14308 × 6 = 48, so 5 × 6 = 30
154 3/45 = 20/4; 4 3/4
165/8HCF is 8; 5/8
17eaten 53/56; left 3/564/7 + 3/8 = 53/56; 1 − 53/56 = 3/56
185 m6 2/3 − 1 2/3 = 5
198 girls, 12 boys2/5 × 20 = 8; 20 − 8 = 12
20Asha, by 5/28 of the book3/4 > 4/7; difference 5/28