In a survey of 240 Primary 6 pupils, 38 of them chose English as their favourite subject. Of the pupils who did not choose English, 23 chose Mathematics. What fraction of the 240 pupils chose Mathematics?
- 512
- 23
- 58
- 13
Need a hint?
Find the number who did not choose English first, then take 23 of that group, not of the whole class.
Worked answer
- English pupils: 38 of 240 = 90.
- Pupils not choosing English: 240 - 90 = 150.
- Mathematics pupils: 23 of 150 = 100.
- Fraction of all 240 pupils: 100 out of 240 = 512.
Answer: 512
The mistake this question tests
Habit
Fraction of a remainder
Pupils often take 23 of the whole 240 or stop after finding the non-English fraction, so they never convert the answer back to a fraction of all 240 pupils.
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