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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 114 · 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? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  2. 2.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 18 (c) 16 (d) 17
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  4. 4.What comes next? 6, 12, 9, 15, 12, 18, ? (a) 14 (b) 21 (c) 15 (d) 24
  5. 5.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 22 (b) 10 (c) 9 (d) 23
  6. 6.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 39 (c) 34 (d) 36
  7. 7.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 5 (d) 6
  8. 8.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 28 (c) 26 (d) 29
  9. 9.What comes next? 12, 21, 13, 22, 14, 23, ? (a) 32 (b) 15 (c) 14 (d) 31
  10. 10.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 35 (d) 38
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  12. 12.What comes next? 43, 36, 29, 22, 15, ? (a) 1 (b) 9 (c) 7 (d) 8
  13. 13.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 30 (b) 32 (c) 29 (d) 36
  14. 14.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  15. 15.What comes next? 4, 8, 12, 16, 20, ? (a) 28 (b) 23 (c) 25 (d) 24
  16. 16.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 5 (c) 6 (d) 4
  17. 17.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 19 (b) 24 (c) 26 (d) 20
  18. 18.What comes next? 30, 36, 42, 48, 54, ? (a) 59 (b) 66 (c) 61 (d) 60
  19. 19.What comes next? 42, 37, 32, 27, 22, ? (a) 12 (b) 17 (c) 18 (d) 16
  20. 20.What comes next? 25, 37, 49, 61, 73, ? (a) 86 (b) 97 (c) 85 (d) 84
  21. 21.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 24 (d) 21
  22. 22.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 14 (c) 15 (d) 16
  23. 23.What comes next? 30, 25, 20, 15, 10, ? (a) 4 (b) 7 (c) 5 (d) 6
  24. 24.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 8 (c) 6 (d) 7
  25. 25.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 39 (c) 40 (d) 41
  26. 26.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 35 (c) 32 (d) 33
  27. 27.What comes next? 20, 27, 25, 32, 30, 37, ? (a) 44 (b) 34 (c) 39 (d) 35
  28. 28.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 37 (c) 36 (d) 34
  29. 29.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 12 (d) 11
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  31. 31.What comes next? 21, 24, 27, 30, 33, ? (a) 39 (b) 37 (c) 36 (d) 35
  32. 32.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 64 (c) 63 (d) 74
  33. 33.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 44 (c) 42 (d) 45
  34. 34.What comes next? 27, 36, 45, 54, 63, ? (a) 71 (b) 72 (c) 73 (d) 81
  35. 35.What comes next? 58, 50, 42, 34, 26, ? (a) 17 (b) 18 (c) 10 (d) 19
  36. 36.What comes next? 10, 13, 16, 19, 22, ? (a) 28 (b) 25 (c) 24 (d) 26
  37. 37.What comes next? 61, 52, 43, 34, 25, ? (a) 17 (b) 15 (c) 16 (d) 7
  38. 38.What comes next? 23, 30, 37, 44, 51, ? (a) 58 (b) 65 (c) 57 (d) 59
  39. 39.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 28 (c) 22 (d) 29
  40. 40.What comes next? 21, 31, 41, 51, 61, ? (a) 81 (b) 72 (c) 71 (d) 70

Answer key

  1. 81
  2. 17
  3. 162
  4. 15
  5. 10
  6. 35
  7. 5
  8. 27
  9. 15
  10. 36
  11. 96
  12. 8
  13. 30
  14. 160
  15. 24
  16. 6
  17. 20
  18. 60
  19. 17
  20. 85
  21. 22
  22. 15
  23. 5
  24. 7
  25. 40
  26. 33
  27. 35
  28. 35
  29. 12
  30. 192
  31. 36
  32. 64
  33. 43
  34. 72
  35. 18
  36. 25
  37. 16
  38. 58
  39. 28
  40. 71

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