PassNova has 18 free 11+ Maths practice questions on Word Problems, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Word Problems: example questions & answers
18 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
There are 24 pupils in a class. They split into 4 equal groups. How many are in each group?
- A6✓
- B20
- C96
- D4
Answer: Share them equally: 24 ÷ 4 = 6 in each group.
There are 36 pupils in a class. They split into 6 equal groups. How many are in each group?
- A6✓
- B30
- C216
- D7
Answer: Share them equally: 36 ÷ 6 = 6 in each group.
There are 45 pupils in a class. They split into 5 equal groups. How many are in each group?
- A40
- B9✓
- C225
- D5
Answer: Share them equally: 45 ÷ 5 = 9 in each group.
There are 56 pupils in a class. They split into 8 equal groups. How many are in each group?
- A48
- B448
- C8
- D7✓
Answer: Share them equally: 56 ÷ 8 = 7 in each group.
There are 63 pupils in a class. They split into 7 equal groups. How many are in each group?
- A56
- B441
- C7
- D9✓
Answer: Share them equally: 63 ÷ 7 = 9 in each group.
A train travels at 60 km/h for 2 hours. How far does it go?
- A120 km✓
- B62 km
- C30 km
- D60 km
Answer: Distance = speed × time: 60 × 2 = 120 km.
A train travels at 45 km/h for 3 hours. How far does it go?
- A48 km
- B135 km✓
- C15 km
- D67 km
Answer: Distance = speed × time: 45 × 3 = 135 km.
A train travels at 80 km/h for 2 hours. How far does it go?
- A82 km
- B40 km
- C80 km
- D160 km✓
Answer: Distance = speed × time: 80 × 2 = 160 km.
A train travels at 30 km/h for 4 hours. How far does it go?
- A34 km
- B7 km
- C120 km✓
- D60 km
Answer: Distance = speed × time: 30 × 4 = 120 km.
A train travels at 55 km/h for 2 hours. How far does it go?
- A57 km
- B27 km
- C55 km
- D110 km✓
Answer: Distance = speed × time: 55 × 2 = 110 km.
A tank holds 250 litres. 90 litres are used. How much is left?
- A340 litres
- B160 litres✓
- C90 litres
- D150 litres
Answer: Take the amount used away from the total: 250 − 90 = 160 litres.
A tank holds 500 litres. 175 litres are used. How much is left?
- A675 litres
- B325 litres✓
- C175 litres
- D315 litres
Answer: Take the amount used away from the total: 500 − 175 = 325 litres.
A tank holds 320 litres. 145 litres are used. How much is left?
- A465 litres
- B175 litres✓
- C145 litres
- D165 litres
Answer: Take the amount used away from the total: 320 − 145 = 175 litres.
A tank holds 600 litres. 265 litres are used. How much is left?
- A865 litres
- B265 litres
- C335 litres✓
- D325 litres
Answer: Take the amount used away from the total: 600 − 265 = 335 litres.
A theatre has 8 rows of 12 seats, plus 5 extra seats at the back. How many seats are there altogether?
- A96
- B156
- C136
- D101✓
Answer: 8 rows of 12 is 8 × 12 = 96 seats, then add the 5 at the back to get 101.
A theatre has 7 rows of 15 seats, plus 4 extra seats at the back. How many seats are there altogether?
- A105
- B109✓
- C165
- D133
Answer: 7 rows of 15 is 7 × 15 = 105 seats, then add the 4 at the back to get 109.
A theatre has 9 rows of 11 seats, plus 6 extra seats at the back. How many seats are there altogether?
- A105✓
- B99
- C165
- D153
Answer: 9 rows of 11 is 9 × 11 = 99 seats, then add the 6 at the back to get 105.
A theatre has 6 rows of 14 seats, plus 8 extra seats at the back. How many seats are there altogether?
- A84
- B196
- C92✓
- D132
Answer: 6 rows of 14 is 6 × 14 = 84 seats, then add the 8 at the back to get 92.