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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 218 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 10 (c) 11 (d) 15
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  3. 3.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 19 (c) 14 (d) 20
  4. 4.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 28 (c) 25 (d) 27
  5. 5.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 29 (b) 33 (c) 39 (d) 28
  6. 6.What comes next? 20, 18, 16, 14, 12, ? (a) 8 (b) 11 (c) 9 (d) 10
  7. 7.What comes next? 16, 25, 22, 31, 28, 37, ? (a) 46 (b) 34 (c) 40 (d) 33
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  9. 9.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 36 (b) 33 (c) 28 (d) 29
  10. 10.What comes next? 36, 29, 22, 15, 8, ? (a) 1 (b) 3 (c) 2 (d) 4
  11. 11.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 46 (c) 44 (d) 45
  12. 12.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 33 (d) 34
  13. 13.What comes next? 24, 28, 32, 36, 40, ? (a) 44 (b) 45 (c) 48 (d) 43
  14. 14.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 13 (c) 15 (d) 17
  15. 15.What comes next? 38, 33, 28, 23, 18, ? (a) 14 (b) 13 (c) 12 (d) 8
  16. 16.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 25 (b) 24 (c) 12 (d) 11
  17. 17.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 13 (b) 14 (c) 6 (d) 7
  18. 18.What comes next? 19, 21, 23, 25, 27, ? (a) 31 (b) 30 (c) 28 (d) 29
  19. 19.What comes next? 22, 31, 40, 49, 58, ? (a) 67 (b) 66 (c) 76 (d) 68
  20. 20.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 37 (c) 34 (d) 36
  21. 21.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 25 (b) 27 (c) 21 (d) 20
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 17 (d) 19
  23. 23.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 61 (c) 59 (d) 60
  24. 24.What comes next? 4, 14, 24, 34, 44, ? (a) 54 (b) 64 (c) 53 (d) 55
  25. 25.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 23 (c) 21 (d) 24
  26. 26.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  27. 27.What comes next? 40, 37, 34, 31, 28, ? (a) 25 (b) 26 (c) 24 (d) 22
  28. 28.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 20 (b) 21 (c) 27 (d) 23
  29. 29.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 23 (c) 24 (d) 22
  30. 30.What comes next? 10, 22, 34, 46, 58, ? (a) 71 (b) 70 (c) 69 (d) 82
  31. 31.What comes next? 14, 23, 32, 41, 50, ? (a) 68 (b) 60 (c) 59 (d) 58
  32. 32.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 23 (d) 24
  33. 33.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 14 (b) 16 (c) 13 (d) 19
  34. 34.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 24 (d) 23
  35. 35.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 40 (c) 42 (d) 39
  36. 36.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 14 (c) 13 (d) 10
  37. 37.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 30 (c) 29 (d) 31
  38. 38.What comes next? 20, 29, 38, 47, 56, ? (a) 65 (b) 66 (c) 74 (d) 64
  39. 39.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 42 (c) 43 (d) 41
  40. 40.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 5 (d) 6

Answer key

  1. 11
  2. 81
  3. 19
  4. 26
  5. 29
  6. 10
  7. 34
  8. 162
  9. 29
  10. 1
  11. 44
  12. 34
  13. 44
  14. 13
  15. 13
  16. 12
  17. 7
  18. 29
  19. 67
  20. 35
  21. 21
  22. 17
  23. 60
  24. 54
  25. 22
  26. 2
  27. 25
  28. 21
  29. 23
  30. 70
  31. 59
  32. 23
  33. 14
  34. 22
  35. 40
  36. 13
  37. 30
  38. 65
  39. 42
  40. 4

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