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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 636 · 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? 16, 28, 40, 52, 64, ? (a) 77 (b) 75 (c) 88 (d) 76
  2. 2.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 34 (d) 37
  3. 3.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 55 (c) 54 (d) 56
  4. 4.What comes next? 21, 31, 41, 51, 61, ? (a) 72 (b) 70 (c) 81 (d) 71
  5. 5.What comes next? 5, 14, 9, 18, 13, 22, ? (a) 17 (b) 31 (c) 16 (d) 27
  6. 6.What comes next? 39, 36, 33, 30, 27, ? (a) 24 (b) 25 (c) 21 (d) 23
  7. 7.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 5 (b) 13 (c) 4 (d) 14
  8. 8.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 27 (b) 34 (c) 28 (d) 38
  9. 9.What comes next? 37, 32, 27, 22, 17, ? (a) 12 (b) 13 (c) 7 (d) 11
  10. 10.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 16 (b) 19 (c) 17 (d) 24
  11. 11.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 24 (d) 22
  12. 12.What comes next? 4, 12, 20, 28, 36, ? (a) 43 (b) 45 (c) 52 (d) 44
  13. 13.What comes next? 22, 34, 46, 58, 70, ? (a) 94 (b) 82 (c) 83 (d) 81
  14. 14.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 37 (c) 35 (d) 36
  15. 15.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 9 (c) 10 (d) 5
  16. 16.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 28 (b) 25 (c) 30 (d) 26
  17. 17.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 25 (c) 26 (d) 30
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  21. 21.What comes next? 9, 18, 27, 36, 45, ? (a) 55 (b) 54 (c) 53 (d) 63
  22. 22.What comes next? 27, 39, 51, 63, 75, ? (a) 87 (b) 88 (c) 86 (d) 99
  23. 23.What comes next? 63, 54, 45, 36, 27, ? (a) 17 (b) 18 (c) 19 (d) 9
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  25. 25.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 25 (c) 24 (d) 26
  26. 26.What comes next? 19, 27, 23, 31, 27, 35, ? (a) 30 (b) 39 (c) 31 (d) 43
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 33 (d) 34
  28. 28.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 9 (c) 6 (d) 11
  29. 29.What comes next? 73, 64, 55, 46, 37, ? (a) 27 (b) 19 (c) 28 (d) 29
  30. 30.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 18 (b) 23 (c) 15 (d) 16
  31. 31.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 20 (c) 22 (d) 21
  32. 32.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 12 (b) 26 (c) 11 (d) 27
  33. 33.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 28 (c) 27 (d) 29
  34. 34.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 5 (c) 4 (d) 6
  35. 35.What comes next? 28, 23, 18, 13, 8, ? (a) 4 (b) 5 (c) 3 (d) 2
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  37. 37.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 23 (c) 14 (d) 22
  38. 38.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 17 (b) 11 (c) 12 (d) 16
  39. 39.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  40. 40.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18

Answer key

  1. 76
  2. 35
  3. 55
  4. 71
  5. 17
  6. 24
  7. 5
  8. 28
  9. 12
  10. 17
  11. 22
  12. 44
  13. 82
  14. 36
  15. 9
  16. 26
  17. 26
  18. 81
  19. 192
  20. 162
  21. 54
  22. 87
  23. 18
  24. 128
  25. 25
  26. 31
  27. 34
  28. 10
  29. 28
  30. 16
  31. 21
  32. 12
  33. 28
  34. 5
  35. 3
  36. 64
  37. 22
  38. 12
  39. 96
  40. 19

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