QTS Professional Skills

Mental Arithmetic

40 free practice questions with explanations

PassNova has 40 free QTS Professional Skills practice questions on Mental Arithmetic, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Mental Arithmetic: example questions & answers

12 worked examples with answers and explanations below. Practise all 40 Mental Arithmetic questions free in the browser, with instant feedback on every answer.

  1. A class has 28 students. 25% are absent today. How many students are present?

    • A7
    • B14
    • C21
    • D25

    Answer: 25% of 28 = 7 absent. Therefore 28 - 7 = 21 present.

  2. A teacher needs to divide £240 equally among 8 students for art supplies. How much per student?

    • A£20
    • B£25
    • C£30
    • D£35

    Answer: £240 ÷ 8 = £30 per student.

  3. A school buys 6 boxes of textbooks with 15 books per box. How many books in total?

    • A80
    • B90
    • C100
    • D110

    Answer: 6 × 15 = 90 books total.

  4. What is 50% of 144?

    • A48
    • B72
    • C96
    • D108

    Answer: 50% means divide by 2. 144 ÷ 2 = 72.

  5. A test has 80 marks. A student scores 60 marks. What is their percentage score?

    • A60%
    • B65%
    • C75%
    • D80%

    Answer: (60 ÷ 80) × 100 = 75%.

  6. How many minutes are in 3 hours and 45 minutes?

    • A180
    • B195
    • C215
    • D225

    Answer: 3 hours = 180 minutes. 180 + 45 = 225 minutes.

  7. A lesson starts at 2:15 PM and lasts 50 minutes. What time does it end?

    • A2:50 PM
    • B3:00 PM
    • C3:05 PM
    • D3:15 PM

    Answer: 2:15 + 50 minutes = 3:05 PM.

  8. What is 10% of 350?

    • A25
    • B35
    • C50
    • D70

    Answer: 10% of 350 = 350 ÷ 10 = 35.

  9. A school has 200 Year 7 students. 15% take drama as an option. How many?

    • A15
    • B20
    • C25
    • D30

    Answer: 15% of 200 = (15 ÷ 100) × 200 = 30.

  10. Divide 180 by 6.

    • A25
    • B30
    • C35
    • D40

    Answer: 180 ÷ 6 = 30.

  11. A teacher marks 40 papers in 2 hours. How many per hour?

    • A15
    • B20
    • C25
    • D30

    Answer: 40 papers ÷ 2 hours = 20 papers per hour.

  12. What is 33% of 99?

    • A25
    • B30
    • C33
    • D36

    Answer: 33% of 99 ≈ 33 (one-third of 99).

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