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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 90 · 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, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  3. 3.What comes next? 20, 32, 44, 56, 68, ? (a) 81 (b) 79 (c) 92 (d) 80
  4. 4.What comes next? 16, 24, 32, 40, 48, ? (a) 56 (b) 55 (c) 64 (d) 57
  5. 5.What comes next? 16, 28, 40, 52, 64, ? (a) 76 (b) 75 (c) 77 (d) 88
  6. 6.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 4 (c) 1 (d) 3
  7. 7.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 11 (b) 24 (c) 10 (d) 23
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  9. 9.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 11 (c) 18 (d) 12
  10. 10.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 12 (c) 10 (d) 8
  11. 11.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 27 (d) 28
  12. 12.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 52 (c) 61 (d) 51
  13. 13.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 23 (c) 25 (d) 21
  14. 14.What comes next? 26, 36, 46, 56, 66, ? (a) 86 (b) 77 (c) 75 (d) 76
  15. 15.What comes next? 20, 25, 22, 27, 24, 29, ? (a) 34 (b) 26 (c) 32 (d) 25
  16. 16.What comes next? 20, 31, 42, 53, 64, ? (a) 74 (b) 76 (c) 75 (d) 86
  17. 17.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 65 (c) 76 (d) 66
  18. 18.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 6 (c) 9 (d) 7
  19. 19.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 4 (c) 1 (d) 2
  20. 20.What comes next? 29, 27, 25, 23, 21, ? (a) 18 (b) 17 (c) 19 (d) 20
  21. 21.What comes next? 1, 8, 6, 13, 11, 18, ? (a) 15 (b) 25 (c) 16 (d) 20
  22. 22.What comes next? 52, 47, 42, 37, 32, ? (a) 28 (b) 22 (c) 27 (d) 26
  23. 23.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 37 (c) 38 (d) 39
  24. 24.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 23 (b) 31 (c) 22 (d) 29
  25. 25.What comes next? 26, 29, 32, 35, 38, ? (a) 42 (b) 44 (c) 40 (d) 41
  26. 26.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 7 (c) 5 (d) 6
  27. 27.What comes next? 44, 40, 36, 32, 28, ? (a) 25 (b) 23 (c) 20 (d) 24
  28. 28.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 45 (d) 43
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  30. 30.What comes next? 55, 47, 39, 31, 23, ? (a) 15 (b) 7 (c) 16 (d) 14
  31. 31.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 40 (d) 38
  32. 32.What comes next? 27, 38, 49, 60, 71, ? (a) 82 (b) 81 (c) 93 (d) 83
  33. 33.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 23 (c) 17 (d) 22
  34. 34.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 3 (c) 2 (d) 5
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 21 (c) 19 (d) 22
  36. 36.What comes next? 12, 14, 16, 18, 20, ? (a) 22 (b) 24 (c) 23 (d) 21
  37. 37.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 20 (c) 21 (d) 11
  38. 38.What comes next? 17, 25, 20, 28, 23, 31, ? (a) 36 (b) 39 (c) 25 (d) 26
  39. 39.What comes next? 46, 41, 36, 31, 26, ? (a) 22 (b) 20 (c) 21 (d) 16
  40. 40.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 26 (b) 25 (c) 31 (d) 28

Answer key

  1. 28
  2. 32
  3. 80
  4. 56
  5. 76
  6. 4
  7. 11
  8. 162
  9. 12
  10. 11
  11. 27
  12. 52
  13. 21
  14. 76
  15. 26
  16. 75
  17. 66
  18. 7
  19. 1
  20. 19
  21. 16
  22. 27
  23. 37
  24. 23
  25. 41
  26. 6
  27. 24
  28. 44
  29. 243
  30. 15
  31. 39
  32. 82
  33. 23
  34. 3
  35. 20
  36. 22
  37. 20
  38. 26
  39. 21
  40. 26

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