QTS Numeracy Skills 2 — Questions and Answers
Question 1: A bar chart shows that 45 pupils chose football, 30 chose netball, 15 chose swimming, and 10 chose tennis as their favourite sport. What fraction chose netball?
- 1/4
- 3/10 (Correct answer)
- 1/3
- 2/5
Correct answer: 3/10
Total pupils = 45 + 30 + 15 + 10 = 100. Fraction choosing netball = 30/100 = 3/10.
Question 2: A teacher needs to cut ribbon into 0.35 metre lengths. How many complete lengths can be cut from a 5 metre roll?
- 13
- 14 (Correct answer)
- 15
- 12
Correct answer: 14
5 ÷ 0.35 = 14.28... So 14 complete lengths can be cut, with a small remainder.
Question 3: A school's attendance rate for the autumn term was 94.6%. If there were 12,000 possible attendance sessions, how many sessions were missed?
- 548
- 648 (Correct answer)
- 748
- 448
Correct answer: 648
Missed sessions = 12,000 × (100% - 94.6%) = 12,000 × 5.4% = 12,000 × 0.054 = 648.
Question 4: A pie chart represents 360 pupils' subject preferences. The 'Science' sector has an angle of 72°. How many pupils chose Science?
- 62
- 72 (Correct answer)
- 82
- 52
Correct answer: 72
72° out of 360° = 72/360 = 1/5 = 20%. 20% of 360 pupils = 72 pupils.
Question 5: Pupil A scored 45 out of 60 on Test 1 and 56 out of 80 on Test 2. On which test did they perform better?
- Test 1, with 75% (Correct answer)
- Test 2, with 70%
- They performed equally
- Cannot be determined
Correct answer: Test 1, with 75%
Test 1: 45/60 = 75%. Test 2: 56/80 = 70%. Pupil A performed better on Test 1 with 75%.
Question 6: A school budget of £450,000 allocates 2/5 to staffing and 1/4 to resources. How much remains for other costs?
- £127,500
- £157,500 (Correct answer)
- £187,500
- £137,500
Correct answer: £157,500
Staffing = 2/5 × £450,000 = £180,000. Resources = 1/4 × £450,000 = £112,500. Remaining = £450,000 - £180,000 - £112,500 = £157,500.
QTS Numeracy Skills 2
A bar chart shows that 45 pupils chose football, 30 chose netball, 15 chose swimming, and 10 chose tennis as their favourite sport.
What fraction chose netball?