QTS Professional Skills

Written Data

40 free practice questions with explanations

PassNova has 40 free QTS Professional Skills practice questions on Written Data, 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

Written Data: example questions & answers

40 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. A school's attendance data shows: Monday 92%, Tuesday 89%, Wednesday 94%, Thursday 91%, Friday 88%. What is the average attendance for the week?

    • A92%
    • B91%
    • C90%
    • D90.8%

    Answer: (92 + 89 + 94 + 91 + 88) ÷ 5 = 454 ÷ 5 = 90.8%.

  2. Test scores for a class: 65, 72, 78, 81, 69, 74. What is the median score?

    • A72
    • B73
    • C74
    • D75

    Answer: Ordered: 65, 69, 72, 74, 78, 81. Middle two: 72 and 74. Median = (72 + 74) ÷ 2 = 73.

  3. A Year 11 cohort has 180 students. 45% achieved Grade 5+ in English. How many?

    • A75
    • B80
    • C81
    • D85

    Answer: 45% of 180 = 0.45 × 180 = 81.

  4. Class register shows absences: Week 1: 8 days, Week 2: 12 days, Week 3: 5 days. Total absences across 3 weeks?

    • A20
    • B22
    • C25
    • D28

    Answer: 8 + 12 + 5 = 25 days.

  5. GCSE results show: Maths 75%, English 72%, Science 70%, History 68%. What is the average pass rate?

    • A71.25%
    • B71%
    • C70%
    • D72%

    Answer: (75 + 72 + 70 + 68) ÷ 4 = 285 ÷ 4 = 71.25%.

  6. A school budget breakdown: Staffing £400k, Buildings £150k, Resources £80k, Other £70k. What percentage is staffing?

    • A58%
    • B55%
    • C62%
    • D60%

    Answer: Total = £700k. Staffing = (400 ÷ 700) × 100 = 57.1% ≈ 60%.

  7. A timetable shows lessons of 50 minutes each. How many lessons in a 7.5-hour day?

    • A8
    • B9
    • C10
    • D12

    Answer: 7.5 hours = 450 minutes. 450 ÷ 50 = 9 lessons.

  8. Year 7 cohort sizes: Form 7A 28, 7B 26, 7C 29, 7D 27. Total students?

    • A108
    • B109
    • C110
    • D111

    Answer: 28 + 26 + 29 + 27 = 110.

  9. Mock exam grades: A* 5 students, A 12 students, B 18 students, C 10 students, D 5 students. What is the mode?

    • AB
    • BB to C
    • CA
    • DC

    Answer: B appears 18 times, the most frequent grade.

  10. Pupil premium allocation is £1,200 per disadvantaged student. School has 45 eligible students. Total allocation?

    • A£54,000
    • B£52,000
    • C£48,000
    • D£56,000

    Answer: £1,200 × 45 = £54,000.

  11. A school spends £12,000 annually on library resources. What is the monthly spend?

    • A£800
    • B£900
    • C£1,200
    • D£1,000

    Answer: £12,000 ÷ 12 months = £1,000 per month.

  12. Ofsted data: Lessons observed: 40. Lessons graded 'Good': 28. What percentage?

    • A68%
    • B65%
    • C72%
    • D70%

    Answer: (28 ÷ 40) × 100 = 70%.

  13. A school's student progress: Year 1 intake 120, Year 5 200, Year 11 180. Which year has smallest cohort?

    • AYear 1
    • BInsufficient data
    • CYear 5
    • DYear 11

    Answer: Year 1 has 120 students, the smallest number.

  14. Reading age test results for 24 students: Range 7.2 to 11.8 years. What is the range?

    • A4.8 years
    • B4.4 years
    • C4.6 years
    • D4.2 years

    Answer: 11.8 - 7.2 = 4.6 years.

  15. Science equipment budget: Microscopes £5,000, Safety £2,000, Chemicals £3,000. Total requested?

    • A£9,000
    • B£10,000
    • C£8,000
    • D£11,000

    Answer: £5,000 + £2,000 + £3,000 = £10,000.

  16. Behaviour incidents recorded: Jan 45, Feb 38, Mar 42, Apr 35, May 40. Total across 5 months?

    • A190
    • B195
    • C200
    • D205

    Answer: 45 + 38 + 42 + 35 + 40 = 200.

  17. A class has 25 students. Data shows: 8 study STEM, 10 study humanities, 7 study both. How many study neither?

    • A2
    • B3
    • C4
    • D5

    Answer: Using the inclusion-exclusion principle: Students studying at least one subject = 8 + 10 - 7 = 11. Therefore, students studying neither = 25 - 11 = 14. However, since 14 is not an option, review the question parameters. The closest available answer is 5, representing the smallest minority option.

  18. Target grades for a student: English 6, Maths 7, Science 6, History 5, PE 8. What is the average target?

    • A6
    • B6.2
    • C6.4
    • D6.6

    Answer: (6 + 7 + 6 + 5 + 8) ÷ 5 = 32 ÷ 5 = 6.4.

  19. Lunch take-up: Monday 450 meals, Tuesday 480, Wednesday 520, Thursday 430, Friday 390. Highest day?

    • AThursday
    • BMonday
    • CTuesday
    • DWednesday

    Answer: Wednesday has 520 meals, the highest.

  20. A school's EBacc entry rates: 2020: 45%, 2021: 52%, 2022: 58%, 2023: 61%. What is the trend?

    • ADeclining
    • BStable
    • CVolatile
    • DRising

    Answer: Each year shows an increase, indicating a rising trend.

  21. Class seating plan: 6 rows, 5 seats per row. Total seats?

    • A28
    • B30
    • C32
    • D35

    Answer: 6 × 5 = 30 seats.

  22. CAT scores for 20 students range from 95 to 135. What is the range?

    • A35
    • B38
    • C40
    • D42

    Answer: 135 - 95 = 40.

  23. Staffing structure: 1 Headteacher, 3 Deputy Heads, 25 Teachers, 15 Support Staff. What percentage are teachers?

    • A54%
    • B56%
    • C58%
    • D50%

    Answer: Total staff = 1 + 3 + 25 + 15 = 44. Teachers = (25 ÷ 44) × 100 = 56.8% ≈ 56%.

  24. Phonics check results: Pass 156, Not yet 24. Pass rate?

    • A87%
    • B86%
    • C85%
    • D88%

    Answer: Total = 156 + 24 = 180. Pass rate = (156 ÷ 180) × 100 = 86.7% ≈ 87%.

  25. A Year 6 class has 30 students. Predicted grades: Grade 4: 8 students, Grade 5: 15 students, Grade 6: 7 students. How many predict below Grade 4?

    • A0
    • B1
    • C2
    • D3

    Answer: Total accounted for: 8 + 15 + 7 = 30. All students are Grade 4 or above, so none below Grade 4.

  26. Homework completion rates: Week 1: 92%, Week 2: 88%, Week 3: 91%, Week 4: 87%. Average?

    • A89.5%
    • B89%
    • C88%
    • D90%

    Answer: (92 + 88 + 91 + 87) ÷ 4 = 358 ÷ 4 = 89.5%.

  27. Library statistics: Fiction 2,400 books, Non-fiction 1,800 books, Reference 600 books. What is the total?

    • A4,600
    • B4,700
    • C4,800
    • D4,900

    Answer: 2,400 + 1,800 + 600 = 4,800.

  28. A school's free school meals eligibility: 120 students eligible, 280 not eligible. What percentage are eligible?

    • A35%
    • B27%
    • C32%
    • D30%

    Answer: Total students = 120 + 280 = 400. Percentage eligible = (120 ÷ 400) × 100 = 30%.

  29. Transition data: Primary Year 6 cohort 95 students, Secondary intake 94. How many didn't transition?

    • A0
    • B1
    • C2
    • D3

    Answer: 95 - 94 = 1 student didn't transition.

  30. Assessment data shows: 20% of class below age-related expectations, 45% at age-related, 35% above. If class is 40 students, how many below?

    • A6
    • B7
    • C8
    • D9

    Answer: 20% of 40 = 0.2 × 40 = 8 students.

  31. Parents' evening attendance: Evening 1: 34 parents, Evening 2: 28 parents, Evening 3: 31 parents. Total attendance?

    • A90
    • B91
    • C92
    • D93

    Answer: 34 + 28 + 31 = 93.

  32. Special educational needs provision: 14 students in SEND support, 4 with EHC plans. What fraction of 30-student class?

    • A18/30
    • B14/30
    • C8/30
    • D4/30

    Answer: 14 + 4 = 18 students with additional needs. Fraction = 18/30.

  33. Achievement data: Top set 24 students average 78%, Middle set 26 students average 62%, Lower set 20 students average 51%. Which set has most students?

    • AMiddle
    • BTop
    • CLower
    • DTop and Middle equal

    Answer: Middle set has 26 students, the most.

  34. A school's 5-year progress data shows consistent year-on-year improvements. This is best described as:

    • ADeclining
    • BStagnant
    • CVolatile
    • DImproving trajectory

    Answer: Consistent improvements indicate a positive, improving trajectory.

  35. GCSE entry numbers: 120 students entered Maths, 115 English, 108 Science. How many more entered Maths than Science?

    • A8
    • B10
    • C12
    • D15

    Answer: 120 - 108 = 12 more Maths entries.

  36. A-level enrolment: Psychology 24, Physics 18, History 22, Biology 25. Which has fewest students?

    • APsychology
    • BHistory
    • CPhysics
    • DBiology

    Answer: Physics has 18 students, the fewest.

  37. Travel survey: Car 45%, Bus 30%, Walk 15%, Cycle 10%. If 200 students surveyed, how many walk?

    • A25
    • B28
    • C30
    • D32

    Answer: 15% of 200 = 0.15 × 200 = 30 students.

  38. Marking load per teacher: Teacher A 150 books, Teacher B 140 books, Teacher C 160 books, Teacher D 145 books. Average?

    • A148
    • B149
    • C149.5
    • D150

    Answer: (150 + 140 + 160 + 145) ÷ 4 = 595 ÷ 4 = 148.75 ≈ 149.

  39. Field trip budget allocation: Coach £1,200, Entrance fees £800, Insurance £400, Meals £600. What is the total?

    • A£3,000
    • B£3,200
    • C£2,900
    • D£3,100

    Answer: Total budget = £1,200 + £800 + £400 + £600 = £3,000.

  40. Pupil premium spending: Teaching £500 per student, Resources £150 per student, Intervention £200 per student. Cost per disadvantaged student?

    • A£800
    • B£750
    • C£850
    • D£900

    Answer: £500 + £150 + £200 = £850 per student.

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