QTS Numeracy Skills for Teachers 2 — Questions and Answers
Question 1: A school's attendance target is 96%. If there are 185 school days, how many days must a pupil attend to meet the target?
- 177.6 days (178 days) (Correct answer)
- 180 days
- 175 days
- 182 days
Correct answer: 177.6 days (178 days)
96% of 185 = 0.96 × 185 = 177.6, which rounds to 178 days. Pupils must attend at least 178 days.
Question 2: Arrange these fractions in ascending order: 3/4, 2/3, 5/6, 7/12
- 7/12, 2/3, 3/4, 5/6 (Correct answer)
- 2/3, 3/4, 7/12, 5/6
- 3/4, 2/3, 5/6, 7/12
- 5/6, 3/4, 2/3, 7/12
Correct answer: 7/12, 2/3, 3/4, 5/6
Converting to twelfths: 7/12, 8/12, 9/12, 10/12 — so the order is 7/12, 2/3, 3/4, 5/6.
Question 3: What is the range of these scores: 45, 62, 38, 71, 55?
- 33 (Correct answer)
- 26
- 36
- 17
Correct answer: 33
Range = highest − lowest = 71 − 38 = 33.
Question 4: A teacher buys resources costing £84 excluding VAT. VAT is 20%. What is the total cost?
- £100.80 (Correct answer)
- £96.00
- £104.00
- £88.40
Correct answer: £100.80
VAT = 20% of £84 = £16.80. Total = £84 + £16.80 = £100.80.
Question 5: If a pupil scores 63 out of 90 on a test, what is their percentage score?
- 70% (Correct answer)
- 63%
- 67%
- 72%
Correct answer: 70%
63 ÷ 90 = 0.7 = 70%. Alternatively, simplify 63/90 to 7/10 = 70%.
Question 6: What is 2/5 + 3/4?
- 23/20 (Correct answer)
- 5/9
- 11/20
- 13/20
Correct answer: 23/20
Common denominator is 20: 2/5 = 8/20, 3/4 = 15/20. Sum = 23/20 = 1 3/20.
QTS Numeracy Skills for Teachers 2
A school's attendance target is 96%.
If there are 185 school days, how many days must a pupil attend to meet the target?