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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 431 · 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, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  2. 2.What comes next? 15, 24, 17, 26, 19, 28, ? (a) 35 (b) 21 (c) 20 (d) 37
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  4. 4.What comes next? 24, 22, 20, 18, 16, ? (a) 12 (b) 15 (c) 13 (d) 14
  5. 5.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 9 (b) 10 (c) 17 (d) 14
  6. 6.What comes next? 20, 31, 42, 53, 64, ? (a) 86 (b) 75 (c) 74 (d) 76
  7. 7.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 43 (c) 41 (d) 42
  8. 8.What comes next? 6, 11, 16, 21, 26, ? (a) 31 (b) 36 (c) 32 (d) 30
  9. 9.What comes next? 21, 27, 33, 39, 45, ? (a) 50 (b) 51 (c) 57 (d) 52
  10. 10.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 24 (c) 15 (d) 16
  11. 11.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 24 (d) 26
  12. 12.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 5 (c) 4 (d) 6
  13. 13.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 6 (c) 14 (d) 15
  14. 14.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 19 (c) 18 (d) 17
  15. 15.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 18 (b) 12 (c) 17 (d) 13
  16. 16.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 8 (c) 18 (d) 17
  17. 17.What comes next? 40, 36, 32, 28, 24, ? (a) 19 (b) 16 (c) 21 (d) 20
  18. 18.What comes next? 42, 36, 30, 24, 18, ? (a) 6 (b) 12 (c) 11 (d) 13
  19. 19.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 22 (b) 21 (c) 17 (d) 16
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  21. 21.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 30 (c) 29 (d) 28
  22. 22.What comes next? 18, 30, 42, 54, 66, ? (a) 90 (b) 79 (c) 78 (d) 77
  23. 23.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 28 (b) 20 (c) 22 (d) 19
  24. 24.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 56 (c) 60 (d) 55
  25. 25.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 22 (c) 17 (d) 18
  26. 26.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 4 (c) 8 (d) 10
  27. 27.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 37 (d) 35
  28. 28.What comes next? 10, 15, 13, 18, 16, 21, ? (a) 18 (b) 26 (c) 19 (d) 23
  29. 29.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 39 (c) 38 (d) 41
  30. 30.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 17 (d) 18
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  32. 32.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 23 (d) 22
  33. 33.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 5 (d) 4
  34. 34.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 9 (c) 7 (d) 6
  35. 35.What comes next? 4, 13, 22, 31, 40, ? (a) 50 (b) 58 (c) 48 (d) 49
  36. 36.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  37. 37.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 38 (b) 27 (c) 28 (d) 34
  38. 38.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 41 (c) 40 (d) 43
  39. 39.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 21 (b) 19 (c) 11 (d) 10
  40. 40.What comes next? 21, 31, 41, 51, 61, ? (a) 71 (b) 70 (c) 81 (d) 72

Answer key

  1. 162
  2. 21
  3. 128
  4. 14
  5. 10
  6. 75
  7. 42
  8. 31
  9. 51
  10. 16
  11. 24
  12. 4
  13. 15
  14. 18
  15. 13
  16. 17
  17. 20
  18. 12
  19. 17
  20. 81
  21. 29
  22. 78
  23. 20
  24. 55
  25. 18
  26. 9
  27. 35
  28. 19
  29. 39
  30. 18
  31. 160
  32. 23
  33. 4
  34. 7
  35. 49
  36. 31
  37. 28
  38. 41
  39. 11
  40. 71

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