QTS Numeracy Skills for Teachers 4 โ Questions and Answers
Question 1: Convert 0.045 to a percentage.
- 4.5% (Correct answer)
- 0.045%
- 45%
- 0.45%
Correct answer: 4.5%
To convert a decimal to a percentage, multiply by 100: 0.045 ร 100 = 4.5%.
Question 2: A reading test has a mean score of 72 and a standard deviation of 8. A pupil scores 88. How many standard deviations above the mean is this?
- 2 (Correct answer)
- 1.5
- 3
- 2.5
Correct answer: 2
88 โ 72 = 16. 16 รท 8 = 2. The pupil is 2 standard deviations above the mean.
Question 3: What is the lowest common multiple (LCM) of 6 and 8?
- 24 (Correct answer)
- 12
- 48
- 18
Correct answer: 24
Multiples of 6: 6, 12, 18, 24. Multiples of 8: 8, 16, 24. The lowest common multiple is 24.
Question 4: A teacher spends 2 hours and 45 minutes marking on Monday and 1 hour and 50 minutes on Tuesday. How long in total?
- 4 hours 35 minutes (Correct answer)
- 4 hours 25 minutes
- 3 hours 95 minutes
- 4 hours 45 minutes
Correct answer: 4 hours 35 minutes
2h 45min + 1h 50min = 3h 95min = 4h 35min (since 95 min = 1h 35min).
Question 5: What is 3/7 as a decimal to two decimal places?
- 0.43 (Correct answer)
- 0.42
- 0.44
- 0.38
Correct answer: 0.43
3 รท 7 = 0.4285... which rounds to 0.43 to two decimal places.
Question 6: A pupil completes 24 out of 32 homework tasks. What fraction is this in its simplest form?
- 3/4 (Correct answer)
- 6/8
- 12/16
- 24/32
Correct answer: 3/4
24/32 simplifies by dividing both by 8: 24 รท 8 = 3, 32 รท 8 = 4, giving 3/4.
Convert 0.045 to a percentage.