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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 198 · 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? 8, 14, 12, 18, 16, 22, ? (a) 28 (b) 19 (c) 24 (d) 20
  2. 2.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 23 (b) 28 (c) 25 (d) 22
  3. 3.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 24 (b) 26 (c) 23 (d) 31
  4. 4.What comes next? 19, 29, 39, 49, 59, ? (a) 68 (b) 70 (c) 69 (d) 79
  5. 5.What comes next? 10, 17, 16, 23, 22, 29, ? (a) 27 (b) 36 (c) 30 (d) 28
  6. 6.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 31 (d) 34
  7. 7.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 59 (c) 61 (d) 60
  8. 8.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 51 (c) 49 (d) 48
  9. 9.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  10. 10.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 7 (d) 6
  11. 11.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  12. 12.What comes next? 42, 39, 36, 33, 30, ? (a) 27 (b) 24 (c) 26 (d) 28
  13. 13.What comes next? 43, 37, 31, 25, 19, ? (a) 13 (b) 14 (c) 7 (d) 12
  14. 14.What comes next? 16, 24, 32, 40, 48, ? (a) 57 (b) 55 (c) 56 (d) 64
  15. 15.What comes next? 13, 15, 17, 19, 21, ? (a) 23 (b) 24 (c) 22 (d) 25
  16. 16.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 23 (c) 26 (d) 24
  17. 17.What comes next? 19, 25, 22, 28, 25, 31, ? (a) 34 (b) 27 (c) 37 (d) 28
  18. 18.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 13 (b) 22 (c) 20 (d) 14
  19. 19.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 41 (d) 42
  20. 20.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 9 (b) 10 (c) 16 (d) 19
  21. 21.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 4 (d) 5
  22. 22.What comes next? 8, 15, 22, 29, 36, ? (a) 42 (b) 44 (c) 50 (d) 43
  23. 23.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  24. 24.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 15 (b) 9 (c) 13 (d) 8
  25. 25.What comes next? 23, 26, 29, 32, 35, ? (a) 37 (b) 41 (c) 39 (d) 38
  26. 26.What comes next? 29, 40, 51, 62, 73, ? (a) 85 (b) 95 (c) 83 (d) 84
  27. 27.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 7 (c) 10 (d) 9
  28. 28.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 29 (d) 28
  29. 29.What comes next? 65, 56, 47, 38, 29, ? (a) 20 (b) 21 (c) 11 (d) 19
  30. 30.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 22 (b) 31 (c) 30 (d) 21
  31. 31.What comes next? 55, 48, 41, 34, 27, ? (a) 19 (b) 21 (c) 13 (d) 20
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  33. 33.What comes next? 56, 47, 38, 29, 20, ? (a) 2 (b) 10 (c) 12 (d) 11
  34. 34.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 17 (d) 18
  35. 35.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 17 (b) 15 (c) 19 (d) 14
  36. 36.What comes next? 22, 26, 30, 34, 38, ? (a) 41 (b) 43 (c) 42 (d) 46
  37. 37.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 46 (c) 40 (d) 39
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  39. 39.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 7 (c) 8 (d) 5
  40. 40.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 27 (b) 29 (c) 23 (d) 22

Answer key

  1. 20
  2. 23
  3. 24
  4. 69
  5. 28
  6. 32
  7. 60
  8. 49
  9. 28
  10. 6
  11. 31
  12. 27
  13. 13
  14. 56
  15. 23
  16. 24
  17. 28
  18. 14
  19. 41
  20. 10
  21. 5
  22. 43
  23. 162
  24. 9
  25. 38
  26. 84
  27. 9
  28. 28
  29. 20
  30. 22
  31. 20
  32. 64
  33. 11
  34. 16
  35. 15
  36. 42
  37. 39
  38. 81
  39. 6
  40. 23

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