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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 524 · 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? 9, 12, 16, 21, 27, ? (a) 36 (b) 33 (c) 34 (d) 35
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  3. 3.What comes next? 37, 30, 23, 16, 9, ? (a) 2 (b) 4 (c) 1 (d) 3
  4. 4.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 23 (b) 24 (c) 10 (d) 11
  5. 5.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 25 (c) 23 (d) 24
  6. 6.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 4 (c) 8 (d) 3
  7. 7.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 70 (c) 72 (d) 83
  8. 8.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 35 (b) 24 (c) 25 (d) 39
  9. 9.What comes next? 12, 21, 20, 29, 28, 37, ? (a) 46 (b) 36 (c) 38 (d) 35
  10. 10.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 23 (c) 20 (d) 22
  11. 11.What comes next? 10, 15, 13, 18, 16, 21, ? (a) 19 (b) 26 (c) 18 (d) 23
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  13. 13.What comes next? 25, 33, 41, 49, 57, ? (a) 66 (b) 64 (c) 65 (d) 73
  14. 14.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 16 (b) 13 (c) 11 (d) 10
  15. 15.What comes next? 52, 45, 38, 31, 24, ? (a) 10 (b) 16 (c) 18 (d) 17
  16. 16.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 23 (d) 24
  17. 17.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 50 (c) 49 (d) 52
  18. 18.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 26 (c) 30 (d) 28
  19. 19.What comes next? 45, 38, 31, 24, 17, ? (a) 10 (b) 11 (c) 3 (d) 9
  20. 20.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 41 (c) 42 (d) 40
  21. 21.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 7 (c) 4 (d) 6
  22. 22.What comes next? 12, 21, 13, 22, 14, 23, ? (a) 32 (b) 15 (c) 14 (d) 31
  23. 23.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 24 (c) 23 (d) 27
  24. 24.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 41 (d) 42
  25. 25.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 7 (c) 2 (d) 6
  26. 26.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 14 (c) 9 (d) 12
  27. 27.What comes next? 19, 22, 25, 28, 31, ? (a) 34 (b) 37 (c) 35 (d) 33
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  29. 29.What comes next? 43, 36, 29, 22, 15, ? (a) 8 (b) 7 (c) 1 (d) 9
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  33. 33.What comes next? 2, 9, 5, 12, 8, 15, ? (a) 22 (b) 19 (c) 10 (d) 11
  34. 34.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 11 (c) 10 (d) 12
  35. 35.What comes next? 13, 22, 31, 40, 49, ? (a) 59 (b) 67 (c) 58 (d) 57
  36. 36.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 4 (c) 7 (d) 6
  37. 37.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 4 (c) 6 (d) 3
  38. 38.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 65 (d) 75
  39. 39.What comes next? 39, 37, 35, 33, 31, ? (a) 30 (b) 28 (c) 27 (d) 29
  40. 40.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 16 (c) 14 (d) 17

Answer key

  1. 34
  2. 160
  3. 2
  4. 11
  5. 23
  6. 4
  7. 71
  8. 25
  9. 36
  10. 21
  11. 19
  12. 192
  13. 65
  14. 11
  15. 17
  16. 24
  17. 50
  18. 26
  19. 10
  20. 41
  21. 5
  22. 15
  23. 24
  24. 42
  25. 6
  26. 10
  27. 34
  28. 162
  29. 8
  30. 32
  31. 81
  32. 243
  33. 11
  34. 11
  35. 58
  36. 7
  37. 4
  38. 64
  39. 29
  40. 16

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