PassNova has 20 free 11+ Maths practice questions on Fractions, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Fractions: example questions & answers
20 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
What is 1/2 of 48?
- A48
- B25
- C24✓
- D23
Answer: Divide by the bottom number and multiply by the top: 48 ÷ 2 = 24, then 24 × 1 = 24.
What is 1/4 of 36?
- A36
- B27
- C10
- D9✓
Answer: Divide by the bottom number and multiply by the top: 36 ÷ 4 = 9, then 9 × 1 = 9.
What is 3/4 of 40?
- A10
- B120
- C13
- D30✓
Answer: Divide by the bottom number and multiply by the top: 40 ÷ 4 = 10, then 10 × 3 = 30.
What is 2/3 of 27?
- A9
- B54
- C13
- D18✓
Answer: Divide by the bottom number and multiply by the top: 27 ÷ 3 = 9, then 9 × 2 = 18.
What is 3/5 of 45?
- A9
- B135
- C36
- D27✓
Answer: Divide by the bottom number and multiply by the top: 45 ÷ 5 = 9, then 9 × 3 = 27.
What is 5/6 of 42?
- A7
- B210
- C8
- D35✓
Answer: Divide by the bottom number and multiply by the top: 42 ÷ 6 = 7, then 7 × 5 = 35.
What is 2/5 of 65?
- A13
- B26✓
- C130
- D52
Answer: Divide by the bottom number and multiply by the top: 65 ÷ 5 = 13, then 13 × 2 = 26.
What is 7/10 of 90?
- A9
- B630
- C81
- D63✓
Answer: Divide by the bottom number and multiply by the top: 90 ÷ 10 = 9, then 9 × 7 = 63.
What is 1/4 + 1/4?
- A1/2✓
- B1/4
- C1/16
- D1.5
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 1/2. Adding the bottoms together as well is the classic error.
What is 1/3 + 1/6?
- A2/9
- B1/3
- C1/2✓
- D1/18
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 1/2. Adding the bottoms together as well is the classic error.
What is 2/5 + 1/5?
- A3/10
- B2/25
- C3/5✓
- D1.6
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 3/5. Adding the bottoms together as well is the classic error.
What is 1/2 + 1/3?
- A5/6✓
- B2/5
- C2/3
- D1/6
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 5/6. Adding the bottoms together as well is the classic error.
What is 3/8 + 1/8?
- A1/4
- B3/64
- C1.5
- D1/2✓
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 1/2. Adding the bottoms together as well is the classic error.
What is 2/3 + 1/6?
- A1/3
- B1/2
- C1/9
- D5/6✓
Answer: Give both fractions the same bottom number, then add only the tops: the answer is 5/6. Adding the bottoms together as well is the classic error.
Write 6/8 in its simplest form.
- A6/7
- B3/4✓
- C4/3
- D7/9
Answer: The largest number that goes into both 6 and 8 is 2, so 6/8 simplifies to 3/4.
Write 9/12 in its simplest form.
- A9/11
- B4/3
- C3/4✓
- D10/13
Answer: The largest number that goes into both 9 and 12 is 3, so 9/12 simplifies to 3/4.
Write 10/15 in its simplest form.
- A5/7
- B3/2
- C11/16
- D2/3✓
Answer: The largest number that goes into both 10 and 15 is 5, so 10/15 simplifies to 2/3.
Write 8/20 in its simplest form.
- A8/19
- B5/2
- C2/5✓
- D3/7
Answer: The largest number that goes into both 8 and 20 is 4, so 8/20 simplifies to 2/5.
Write 14/21 in its simplest form.
- A7/10
- B3/2
- C15/22
- D2/3✓
Answer: The largest number that goes into both 14 and 21 is 7, so 14/21 simplifies to 2/3.
Write 12/18 in its simplest form.
- A12/17
- B2/3✓
- C3/2
- D13/19
Answer: The largest number that goes into both 12 and 18 is 6, so 12/18 simplifies to 2/3.