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Oundle School — 13+ Maths Exam Paper 2020

Oundle School set this 13+ Maths paper in 2020. Hearthprep hosts it as an interactive past paper — 38 questions worth 72 marks in 60 minutes, each marked the moment the paper is submitted and backed by a step-by-step worked solution. Most 13+ entrance exams are sat between November and January of the year of entry.

Interactive version of the official Oundle School 13+ Maths Entrance Exam from 2020. Practise with instant marking and worked solutions. Original PDF also available. Covers Maths at 13+ level.

This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Most 13+ entrance exams are sat between November and January of the year of entry, so a timed attempt at this paper is worth doing early enough to leave room for the topics it exposes. Work through it on screen with instant marking, or print the PDF and sit it under exam conditions.

School
Oundle School
Entry level
13+
Subject
Maths
Year
2020
Questions
38
Marks
72
Time
60 minutes
Exam board
School-specific

Questions in this paper

  1. Question 1short answer · 3 marks

    Q1(a): Peter bought three presents for his friends which cost £12.97, £9.85 and £17.23. Quentin bought two presents costing £25.64 and £13.59. Who spent the most in total, and by how much?

  2. Question 2short answer · 2 marks

    Q1(b): A box contains 37 chocolates. How many chocolates are there in 23 of these boxes?

  3. Question 3short answer · 3 marks

    Q1(c): Apples are sold at a price of £4.27 per kilogram. Some apples are selected and weighed and put in a bag. If the bag of apples weighs 0.35 kilograms, how much will it cost?

  4. Question 4short answer · 2 marks

    Q1(d): Thirty seven identical coins weigh 20.35 grams. What does one coin weigh?

  5. Question 5short answer · 1 mark

    Q2(a): Work out the following, obeying the correct order of operations: 1 - 0 + (-1)

  6. Question 6short answer · 1 mark

    Q2(b): Work out the following, obeying the correct order of operations: 0 x (-7)

  7. Question 7short answer · 1 mark

    Q2(c): Work out the following, obeying the correct order of operations: 9 + 1 x 0

  8. Question 8short answer · 1 mark

    Q2(d): Work out the following, obeying the correct order of operations: 5 + 0 / 1

  9. Question 9short answer · 1 mark

    Q2(e): Work out the following, obeying the correct order of operations: -1 x 3 + 5 x (-3)

  10. Question 10short answer · 1 mark

    Q2(f): Work out the following, obeying the correct order of operations: 5 - 5 - 5 / 5

  11. Question 11short answer · 1 mark

    Q2(g): Work out the following, obeying the correct order of operations: 3 - (3 / 3 + 3)

  12. Question 12short answer · 1 mark

    Q2(h): Work out the following, obeying the correct order of operations: 56 / 2 / 4 x 3

  13. Question 13short answer · 1 mark

    Q2(i): Work out the following, obeying the correct order of operations: 2 / 5 - 4 / 10

  14. Question 14short answer · 1 mark

    Q3(a): Where possible, fully simplify the following algebraic expression: 3x - 2x

  15. Question 15short answer · 1 mark

    Q3(b): Where possible, fully simplify the following algebraic expression: x + x

  16. Question 16short answer · 1 mark

    Q3(c): Where possible, fully simplify the following algebraic expression: x + 5x - 7 - 3x - 9

  17. Question 17short answer · 1 mark

    Q3(d): Where possible, fully simplify the following algebraic expression: 7x * x * 4x

  18. Question 18short answer · 2 marks

    Q4(a): Write down, in ascending order, all factors of 36.

  19. Question 19short answer · 2 marks

    Q4(b): Write down, in ascending order, all factors of 54.

  20. Question 20short answer · 2 marks

    Q5(a): Write down the prime factorisation of 72.

  21. Question 21short answer · 2 marks

    Q5(b): Write down the prime factorisation of 360.

  22. Question 22short answer · 2 marks

    Q6(a): Calculate the following: 1/4 x 3/5

  23. Question 23short answer · 2 marks

    Q6(b): Calculate the following: 5/6 - 5/4

  24. Question 24short answer · 2 marks

    Q6(c): Calculate the following: (5/6) / (5/4)

  25. Question 25short answer · 2 marks

    Q6(d): Calculate the following: (40/21) x (35/8)

  26. Question 26short answer · 4 marks

    Q7: A solid wooden cube is painted blue on the outside. The cube is then cut into eight smaller cubes of equal size. What fraction of the total surface area of these new cubes is blue?

  27. Question 27short answer · 2 marks

    Q8(a): Solve the following equation, leaving your answer as an improper fraction where necessary: 5x - 13 = 32

  28. Question 28short answer · 2 marks

    Q8(b): Solve the following equation, leaving your answer as an improper fraction where necessary: x/2 - 3 = 1/2

  29. Question 29short answer · 3 marks

    Q8(c): Solve the following equation, leaving your answer as an improper fraction where necessary: 2 + (2x - 3)/4 = 7

  30. Question 30short answer · 2 marks

    Q8(d): Solve the following equation, leaving your answer as an improper fraction where necessary: 3x - 6 = 12 - 9x

  31. Question 31short answer · 2 marks

    Q8(e): Solve the following equation, leaving your answer as an improper fraction where necessary: 6(13x - 5) = 48

  32. Question 32short answer · 3 marks

    Q8(f): Solve the following equation, leaving your answer as an improper fraction where necessary: 4x - 3/4 = (1/3)x + 5

  33. Question 33short answer · 1 mark

    Q9(a): If a = 4, b = -1 and c = -2, find the value of: abc

  34. Question 34short answer · 1 mark

    Q9(b): If a = 4, b = -1 and c = -2, find the value of: bc^2

  35. Question 35short answer · 2 marks

    Q9(c): If a = 4, b = -1 and c = -2, find the value of: 3a - 2b - 4c

  36. Question 36short answer · 3 marks

    Q10(a): Six times a number is ten less than eight times the number. Find the number. (Define an unknown, form an equation and solve it algebraically.)

  37. Question 37short answer · 3 marks

    Q10(b): John thought of a number. He added twenty-four and then divided by three. The result was the same as when multiplying the original number by three and then adding four. What number did John think of?

  38. Question 38short answer · 5 marks

    Q11: In a 7-digit numerical code each group of four adjacent digits adds to 16 and each group of five adjacent digits adds to 19. What is the sum of all seven digits?

Frequently asked questions

What is in the Oundle School — 13+ Maths Exam Paper 2020?

38 questions worth 72 marks in total, written for 60 minutes. It covers Maths at 13+ level. Oundle School set it as a 13+ Maths paper.

How long is the Oundle School 13+ Maths paper?

This paper is timed at 60 minutes for 72 marks — roughly 50 seconds a mark. Hearthprep runs the same clock on screen, so your child sees how far through the time they are as they answer.

Can my child answer this paper online?

Yes. Every question on this page can be answered in the browser and is marked the moment the paper is submitted — multiple choice, short answers and written responses alike. Answers are matched leniently, so a correct value written a different way (units, fractions, word numbers) still scores.

Are worked solutions included?

Every question has a step-by-step worked solution and an AI tutor that will talk through it after the paper is submitted. This paper is free — the whole thing, with marking and solutions, needs no account.

Where does this Oundle School paper come from?

This is the school's own past paper, reproduced here with worked solutions by Hearthprep. Use it to time a full mock attempt, then drill whichever topics your child drops marks on.

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