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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 142 · 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? 29, 31, 33, 35, 37, ? (a) 39 (b) 40 (c) 41 (d) 38
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  3. 3.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 79 (c) 66 (d) 68
  4. 4.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 4 (b) 11 (c) 5 (d) 12
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  6. 6.What comes next? 18, 22, 26, 30, 34, ? (a) 39 (b) 38 (c) 42 (d) 37
  7. 7.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 16 (d) 15
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  9. 9.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 37 (b) 34 (c) 44 (d) 35
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  11. 11.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 26 (b) 22 (c) 19 (d) 20
  12. 12.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 39 (b) 32 (c) 34 (d) 31
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  14. 14.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 6 (b) 14 (c) 5 (d) 15
  15. 15.What comes next? 19, 30, 41, 52, 63, ? (a) 85 (b) 74 (c) 73 (d) 75
  16. 16.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 41 (c) 42 (d) 43
  17. 17.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 32 (c) 30 (d) 31
  18. 18.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 22 (c) 24 (d) 21
  19. 19.What comes next? 18, 26, 21, 29, 24, 32, ? (a) 27 (b) 40 (c) 26 (d) 37
  20. 20.What comes next? 47, 42, 37, 32, 27, ? (a) 23 (b) 21 (c) 22 (d) 17
  21. 21.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 29 (d) 27
  22. 22.What comes next? 53, 48, 43, 38, 33, ? (a) 23 (b) 27 (c) 28 (d) 29
  23. 23.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 5 (c) 6 (d) 8
  24. 24.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 32 (c) 33 (d) 34
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  26. 26.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 18 (c) 16 (d) 17
  27. 27.What comes next? 12, 21, 30, 39, 48, ? (a) 56 (b) 57 (c) 58 (d) 66
  28. 28.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 29 (d) 27
  29. 29.What comes next? 19, 27, 22, 30, 25, 33, ? (a) 28 (b) 41 (c) 38 (d) 27
  30. 30.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 13 (b) 8 (c) 12 (d) 7
  31. 31.What comes next? 23, 31, 39, 47, 55, ? (a) 62 (b) 71 (c) 63 (d) 64
  32. 32.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 47 (c) 49 (d) 50
  33. 33.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 24 (c) 28 (d) 26
  34. 34.What comes next? 3, 10, 8, 15, 13, 20, ? (a) 27 (b) 18 (c) 22 (d) 17
  35. 35.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 37 (c) 43 (d) 36
  36. 36.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  37. 37.What comes next? 8, 13, 9, 14, 10, 15, ? (a) 20 (b) 10 (c) 11 (d) 19
  38. 38.What comes next? 37, 33, 29, 25, 21, ? (a) 18 (b) 13 (c) 17 (d) 16
  39. 39.What comes next? 39, 35, 31, 27, 23, ? (a) 18 (b) 15 (c) 19 (d) 20
  40. 40.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 13 (c) 14 (d) 15

Answer key

  1. 39
  2. 32
  3. 67
  4. 5
  5. 243
  6. 38
  7. 16
  8. 96
  9. 35
  10. 162
  11. 20
  12. 32
  13. 192
  14. 6
  15. 74
  16. 41
  17. 31
  18. 22
  19. 27
  20. 22
  21. 28
  22. 28
  23. 6
  24. 32
  25. 81
  26. 17
  27. 57
  28. 27
  29. 28
  30. 8
  31. 63
  32. 48
  33. 25
  34. 18
  35. 37
  36. 2
  37. 11
  38. 17
  39. 19
  40. 13

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