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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 389 · 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? 13, 19, 15, 21, 17, 23, ? (a) 29 (b) 27 (c) 18 (d) 19
  2. 2.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 10 (c) 8 (d) 12
  3. 3.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 22 (d) 25
  4. 4.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 18 (b) 31 (c) 19 (d) 33
  5. 5.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 60 (c) 58 (d) 59
  6. 6.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 9 (c) 10 (d) 8
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  8. 8.What comes next? 20, 28, 21, 29, 22, 30, ? (a) 23 (b) 22 (c) 37 (d) 38
  9. 9.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 8 (c) 9 (d) 10
  10. 10.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 40 (c) 38 (d) 37
  11. 11.What comes next? 26, 38, 50, 62, 74, ? (a) 98 (b) 86 (c) 85 (d) 87
  12. 12.What comes next? 65, 58, 51, 44, 37, ? (a) 23 (b) 30 (c) 31 (d) 29
  13. 13.What comes next? 17, 19, 21, 23, 25, ? (a) 29 (b) 27 (c) 28 (d) 26
  14. 14.What comes next? 8, 16, 12, 20, 16, 24, ? (a) 32 (b) 28 (c) 20 (d) 19
  15. 15.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 28 (b) 34 (c) 22 (d) 21
  16. 16.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 2 (c) 1 (d) 4
  17. 17.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  18. 18.What comes next? 20, 18, 16, 14, 12, ? (a) 10 (b) 8 (c) 9 (d) 11
  19. 19.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  21. 21.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 29 (c) 27 (d) 30
  22. 22.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 26 (d) 28
  23. 23.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 22 (c) 23 (d) 24
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  25. 25.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 14 (b) 8 (c) 16 (d) 7
  26. 26.What comes next? 23, 20, 17, 14, 11, ? (a) 7 (b) 9 (c) 8 (d) 5
  27. 27.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 9 (b) 17 (c) 8 (d) 15
  28. 28.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 15 (c) 13 (d) 14
  29. 29.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 11 (c) 12 (d) 10
  30. 30.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 36 (c) 30 (d) 31
  31. 31.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 26 (c) 28 (d) 27
  32. 32.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  33. 33.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 28 (c) 23 (d) 27
  34. 34.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 30 (d) 32
  35. 35.What comes next? 54, 46, 38, 30, 22, ? (a) 6 (b) 14 (c) 15 (d) 13
  36. 36.What comes next? 7, 19, 31, 43, 55, ? (a) 68 (b) 66 (c) 67 (d) 79
  37. 37.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 24 (c) 23 (d) 25
  38. 38.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 83 (c) 82 (d) 95
  39. 39.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 6 (c) 5 (d) 3
  40. 40.What comes next? 17, 26, 18, 27, 19, 28, ? (a) 36 (b) 19 (c) 37 (d) 20

Answer key

  1. 19
  2. 11
  3. 23
  4. 19
  5. 59
  6. 9
  7. 243
  8. 23
  9. 9
  10. 38
  11. 86
  12. 30
  13. 27
  14. 20
  15. 22
  16. 1
  17. 35
  18. 10
  19. 160
  20. 162
  21. 28
  22. 26
  23. 23
  24. 81
  25. 8
  26. 8
  27. 9
  28. 13
  29. 12
  30. 31
  31. 27
  32. 96
  33. 23
  34. 30
  35. 14
  36. 67
  37. 24
  38. 83
  39. 4
  40. 20

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