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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 30 · 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? 27, 32, 37, 42, 47, ? (a) 51 (b) 53 (c) 57 (d) 52
  2. 2.What comes next? 25, 34, 43, 52, 61, ? (a) 69 (b) 70 (c) 79 (d) 71
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  4. 4.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 19 (c) 18 (d) 20
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  6. 6.What comes next? 24, 28, 32, 36, 40, ? (a) 48 (b) 45 (c) 43 (d) 44
  7. 7.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 40 (c) 39 (d) 41
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  10. 10.What comes next? 36, 31, 26, 21, 16, ? (a) 11 (b) 10 (c) 6 (d) 12
  11. 11.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 7 (c) 8 (d) 6
  12. 12.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 14 (c) 23 (d) 22
  13. 13.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 2 (c) 5 (d) 3
  14. 14.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 42 (c) 45 (d) 43
  15. 15.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 54 (c) 56 (d) 55
  16. 16.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 2 (c) 3 (d) 1
  17. 17.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 22 (c) 20 (d) 13
  18. 18.What comes next? 2, 12, 22, 32, 42, ? (a) 62 (b) 53 (c) 51 (d) 52
  19. 19.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 30 (c) 31 (d) 22
  20. 20.What comes next? 37, 34, 31, 28, 25, ? (a) 22 (b) 19 (c) 21 (d) 23
  21. 21.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 29 (c) 28 (d) 26
  22. 22.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 18 (b) 22 (c) 23 (d) 17
  23. 23.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 2 (d) 1
  24. 24.What comes next? 25, 37, 49, 61, 73, ? (a) 86 (b) 97 (c) 85 (d) 84
  25. 25.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 65 (c) 58 (d) 57
  26. 26.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 11 (b) 22 (c) 12 (d) 20
  27. 27.What comes next? 50, 46, 42, 38, 34, ? (a) 29 (b) 30 (c) 26 (d) 31
  28. 28.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 10 (c) 8 (d) 9
  29. 29.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 20 (d) 19
  30. 30.What comes next? 3, 11, 19, 27, 35, ? (a) 51 (b) 43 (c) 42 (d) 44
  31. 31.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 38 (b) 35 (c) 45 (d) 36
  32. 32.What comes next? 43, 35, 27, 19, 11, ? (a) 3 (b) 4 (c) 2 (d) 5
  33. 33.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 13 (c) 12 (d) 14
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  35. 35.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 15 (b) 19 (c) 20 (d) 14
  36. 36.What comes next? 6, 9, 12, 15, 18, ? (a) 21 (b) 22 (c) 24 (d) 20
  37. 37.What comes next? 36, 33, 30, 27, 24, ? (a) 22 (b) 18 (c) 20 (d) 21
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  39. 39.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 22 (c) 24 (d) 23
  40. 40.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 8 (c) 5 (d) 7

Answer key

  1. 52
  2. 70
  3. 64
  4. 19
  5. 162
  6. 44
  7. 39
  8. 32
  9. 128
  10. 11
  11. 7
  12. 23
  13. 4
  14. 43
  15. 55
  16. 1
  17. 21
  18. 52
  19. 30
  20. 22
  21. 27
  22. 18
  23. 1
  24. 85
  25. 58
  26. 12
  27. 30
  28. 9
  29. 18
  30. 43
  31. 36
  32. 3
  33. 14
  34. 243
  35. 15
  36. 21
  37. 21
  38. 81
  39. 23
  40. 6

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