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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 236 · 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? 54, 47, 40, 33, 26, ? (a) 12 (b) 20 (c) 19 (d) 18
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  3. 3.What comes next? 10, 17, 13, 20, 16, 23, ? (a) 27 (b) 19 (c) 30 (d) 18
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  5. 5.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 33 (c) 35 (d) 36
  6. 6.What comes next? 17, 24, 31, 38, 45, ? (a) 59 (b) 52 (c) 51 (d) 53
  7. 7.What comes next? 13, 20, 18, 25, 23, 30, ? (a) 28 (b) 27 (c) 32 (d) 37
  8. 8.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 33 (c) 31 (d) 32
  9. 9.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 26 (c) 28 (d) 27
  10. 10.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 15 (b) 5 (c) 14 (d) 6
  11. 11.What comes next? 39, 32, 25, 18, 11, ? (a) 5 (b) 6 (c) 4 (d) 3
  12. 12.What comes next? 17, 26, 24, 33, 31, 40, ? (a) 42 (b) 49 (c) 37 (d) 38
  13. 13.What comes next? 38, 33, 28, 23, 18, ? (a) 12 (b) 14 (c) 8 (d) 13
  14. 14.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 24 (c) 22 (d) 23
  15. 15.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 50 (c) 49 (d) 57
  16. 16.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 21 (c) 23 (d) 22
  17. 17.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 8 (c) 6 (d) 7
  18. 18.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 5 (c) 4 (d) 6
  19. 19.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 18 (b) 20 (c) 13 (d) 14
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  21. 21.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 4 (c) 5 (d) 3
  22. 22.What comes next? 3, 9, 15, 21, 27, ? (a) 39 (b) 33 (c) 32 (d) 34
  23. 23.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 30 (b) 36 (c) 25 (d) 26
  24. 24.What comes next? 13, 20, 27, 34, 41, ? (a) 48 (b) 47 (c) 55 (d) 49
  25. 25.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 10 (b) 13 (c) 11 (d) 16
  26. 26.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 4 (c) 1 (d) 3
  27. 27.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 19 (c) 20 (d) 23
  28. 28.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 46 (d) 44
  29. 29.What comes next? 51, 44, 37, 30, 23, ? (a) 17 (b) 16 (c) 9 (d) 15
  30. 30.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  31. 31.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 18 (d) 17
  32. 32.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 25 (b) 32 (c) 29 (d) 24
  33. 33.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 46 (c) 43 (d) 42
  34. 34.What comes next? 18, 28, 38, 48, 58, ? (a) 67 (b) 68 (c) 78 (d) 69
  35. 35.What comes next? 41, 37, 33, 29, 25, ? (a) 21 (b) 17 (c) 20 (d) 22
  36. 36.What comes next? 11, 21, 31, 41, 51, ? (a) 60 (b) 71 (c) 61 (d) 62
  37. 37.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 43 (c) 40 (d) 41
  38. 38.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 37 (d) 35
  39. 39.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 70 (c) 62 (d) 61
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90

Answer key

  1. 19
  2. 64
  3. 19
  4. 243
  5. 34
  6. 52
  7. 28
  8. 32
  9. 27
  10. 6
  11. 4
  12. 38
  13. 13
  14. 23
  15. 50
  16. 22
  17. 8
  18. 5
  19. 14
  20. 128
  21. 4
  22. 33
  23. 26
  24. 48
  25. 11
  26. 1
  27. 20
  28. 44
  29. 16
  30. 18
  31. 17
  32. 25
  33. 43
  34. 68
  35. 21
  36. 61
  37. 41
  38. 35
  39. 62
  40. 162

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