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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 185 · 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? 2, 9, 16, 23, 30, ? (a) 37 (b) 36 (c) 44 (d) 38
  2. 2.What comes next? 17, 25, 33, 41, 49, ? (a) 58 (b) 56 (c) 65 (d) 57
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  4. 4.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 7 (d) 8
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  6. 6.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 35 (c) 33 (d) 36
  7. 7.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 3 (c) 4 (d) 1
  8. 8.What comes next? 11, 14, 18, 23, 29, ? (a) 37 (b) 38 (c) 35 (d) 36
  9. 9.What comes next? 38, 36, 34, 32, 30, ? (a) 28 (b) 29 (c) 27 (d) 26
  10. 10.What comes next? 19, 21, 24, 28, 33, ? (a) 39 (b) 40 (c) 41 (d) 38
  11. 11.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 52 (c) 61 (d) 51
  12. 12.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 26 (b) 24 (c) 19 (d) 20
  13. 13.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 46 (c) 47 (d) 54
  14. 14.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 2 (c) 4 (d) 3
  15. 15.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 2 (c) 3 (d) 1
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  17. 17.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 14 (c) 13 (d) 12
  18. 18.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 21 (c) 28 (d) 27
  19. 19.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 38 (c) 36 (d) 39
  20. 20.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 34 (c) 35 (d) 36
  21. 21.What comes next? 20, 29, 28, 37, 36, 45, ? (a) 54 (b) 46 (c) 43 (d) 44
  22. 22.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 36 (c) 38 (d) 37
  23. 23.What comes next? 24, 34, 44, 54, 64, ? (a) 75 (b) 84 (c) 74 (d) 73
  24. 24.What comes next? 23, 31, 39, 47, 55, ? (a) 63 (b) 71 (c) 62 (d) 64
  25. 25.What comes next? 12, 18, 15, 21, 18, 24, ? (a) 21 (b) 30 (c) 20 (d) 27
  26. 26.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 17 (c) 18 (d) 19
  27. 27.What comes next? 23, 20, 17, 14, 11, ? (a) 8 (b) 9 (c) 7 (d) 5
  28. 28.What comes next? 14, 18, 22, 26, 30, ? (a) 38 (b) 35 (c) 33 (d) 34
  29. 29.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 20 (b) 14 (c) 16 (d) 13
  30. 30.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  31. 31.What comes next? 12, 20, 13, 21, 14, 22, ? (a) 15 (b) 30 (c) 14 (d) 29
  32. 32.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 25 (b) 27 (c) 18 (d) 19
  33. 33.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 16 (b) 13 (c) 14 (d) 18
  34. 34.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 37 (b) 34 (c) 25 (d) 26
  35. 35.What comes next? 6, 13, 20, 27, 34, ? (a) 40 (b) 42 (c) 41 (d) 48
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  37. 37.What comes next? 14, 23, 22, 31, 30, 39, ? (a) 40 (b) 37 (c) 48 (d) 38
  38. 38.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 18 (c) 21 (d) 23
  39. 39.What comes next? 57, 49, 41, 33, 25, ? (a) 9 (b) 17 (c) 18 (d) 16
  40. 40.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 22 (c) 24 (d) 18

Answer key

  1. 37
  2. 57
  3. 192
  4. 7
  5. 96
  6. 34
  7. 1
  8. 36
  9. 28
  10. 39
  11. 52
  12. 20
  13. 46
  14. 2
  15. 2
  16. 81
  17. 13
  18. 27
  19. 37
  20. 34
  21. 44
  22. 37
  23. 74
  24. 63
  25. 21
  26. 18
  27. 8
  28. 34
  29. 14
  30. 162
  31. 15
  32. 19
  33. 14
  34. 26
  35. 41
  36. 243
  37. 38
  38. 22
  39. 17
  40. 18

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