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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 579 · 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, 16, 15, 22, 21, 28, ? (a) 26 (b) 29 (c) 27 (d) 35
  2. 2.What comes next? 10, 18, 17, 25, 24, 32, ? (a) 30 (b) 33 (c) 40 (d) 31
  3. 3.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 4 (d) 1
  4. 4.What comes next? 20, 30, 40, 50, 60, ? (a) 69 (b) 70 (c) 71 (d) 80
  5. 5.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 27 (c) 28 (d) 25
  6. 6.What comes next? 2, 10, 3, 11, 4, 12, ? (a) 20 (b) 19 (c) 4 (d) 5
  7. 7.What comes next? 31, 25, 19, 13, 7, ? (a) 4 (b) 3 (c) 2 (d) 1
  8. 8.What comes next? 32, 27, 22, 17, 12, ? (a) 8 (b) 7 (c) 2 (d) 6
  9. 9.What comes next? 34, 30, 26, 22, 18, ? (a) 13 (b) 14 (c) 10 (d) 15
  10. 10.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  11. 11.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 38 (d) 35
  12. 12.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 41 (d) 38
  13. 13.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 23 (d) 22
  14. 14.What comes next? 6, 16, 26, 36, 46, ? (a) 56 (b) 57 (c) 66 (d) 55
  15. 15.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 27 (c) 26 (d) 28
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  17. 17.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 12 (c) 14 (d) 10
  18. 18.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 15 (b) 31 (c) 28 (d) 16
  19. 19.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 60 (c) 68 (d) 61
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  21. 21.What comes next? 6, 18, 30, 42, 54, ? (a) 67 (b) 78 (c) 65 (d) 66
  22. 22.What comes next? 28, 40, 52, 64, 76, ? (a) 88 (b) 100 (c) 89 (d) 87
  23. 23.What comes next? 8, 14, 20, 26, 32, ? (a) 38 (b) 37 (c) 44 (d) 39
  24. 24.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 37 (c) 36 (d) 44
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  26. 26.What comes next? 2, 8, 14, 20, 26, ? (a) 31 (b) 33 (c) 38 (d) 32
  27. 27.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 33 (c) 36 (d) 35
  28. 28.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 6 (d) 7
  29. 29.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 26 (c) 27 (d) 28
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  31. 31.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 16 (b) 11 (c) 18 (d) 12
  32. 32.What comes next? 28, 26, 24, 22, 20, ? (a) 17 (b) 19 (c) 18 (d) 16
  33. 33.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 29 (d) 28
  34. 34.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 19 (d) 18
  35. 35.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 5 (c) 4 (d) 2
  36. 36.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 78 (c) 71 (d) 70
  37. 37.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 74 (c) 75 (d) 73
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  39. 39.What comes next? 19, 27, 21, 29, 23, 31, ? (a) 24 (b) 25 (c) 37 (d) 39
  40. 40.What comes next? 21, 17, 13, 9, 5, ? (a) 1 (b) 2 (c) 3 (d) 4

Answer key

  1. 27
  2. 31
  3. 2
  4. 70
  5. 26
  6. 5
  7. 1
  8. 7
  9. 14
  10. 64
  11. 36
  12. 39
  13. 23
  14. 56
  15. 27
  16. 162
  17. 10
  18. 16
  19. 61
  20. 96
  21. 66
  22. 88
  23. 38
  24. 37
  25. 128
  26. 32
  27. 34
  28. 6
  29. 27
  30. 243
  31. 12
  32. 18
  33. 27
  34. 19
  35. 4
  36. 70
  37. 74
  38. 32
  39. 25
  40. 1

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