QTS Numeracy Skills

Question 1

A primary school has 420 pupils. If 35% of them are eligible for free school meals, how many pupils is this?

Accepted Answer

147

Answer

35% of 420 = 0.35 × 420 = 147 pupils. This type of percentage calculation is fundamental to interpreting school data.

Question 2

A teacher records the following test scores for 7 pupils: 45, 52, 58, 62, 65, 71, 78. What is the median score?

Accepted Answer

62

Answer

The median is the middle value when data is arranged in order. With 7 values, the median is the 4th value, which is 62.

Question 3

A school's Year 6 SATs results show that 72 out of 90 pupils achieved the expected standard in reading. What percentage is this?

Accepted Answer

80%

Answer

72 ÷ 90 = 0.8 = 80%. This is a standard percentage calculation used in analysing school performance data.

Question 4

A class has 30 pupils. The mean score on a maths test is 64 marks. If one pupil who scored 34 marks leaves the class, what is the new mean?

Accepted Answer

65.03

Answer

Original total = 30 × 64 = 1920. Remove 34: 1920 - 34 = 1886. New mean = 1886 ÷ 29 = 65.03 (to 2 d.p.).

Question 5

A school trip costs £12.50 per pupil. If 28 pupils attend, what is the total cost?

Accepted Answer

£350.00

Answer

28 × £12.50 = £350.00. Multiplication of decimals is a key numeracy skill for QTS.

QTS Practice Test