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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 98 · 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? 17, 18, 20, 23, 27, ? (a) 33 (b) 34 (c) 31 (d) 32
  2. 2.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 46 (c) 44 (d) 45
  3. 3.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 27 (b) 25 (c) 29 (d) 24
  4. 4.What comes next? 28, 34, 40, 46, 52, ? (a) 58 (b) 57 (c) 64 (d) 59
  5. 5.What comes next? 50, 46, 42, 38, 34, ? (a) 29 (b) 31 (c) 30 (d) 26
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  7. 7.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 83 (c) 72 (d) 70
  8. 8.What comes next? 12, 17, 22, 27, 32, ? (a) 38 (b) 36 (c) 42 (d) 37
  9. 9.What comes next? 31, 28, 25, 22, 19, ? (a) 15 (b) 16 (c) 13 (d) 17
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  11. 11.What comes next? 13, 24, 35, 46, 57, ? (a) 69 (b) 68 (c) 79 (d) 67
  12. 12.What comes next? 48, 40, 32, 24, 16, ? (a) 9 (b) 7 (c) 10 (d) 8
  13. 13.What comes next? 18, 25, 21, 28, 24, 31, ? (a) 35 (b) 27 (c) 26 (d) 38
  14. 14.What comes next? 11, 19, 15, 23, 19, 27, ? (a) 35 (b) 31 (c) 22 (d) 23
  15. 15.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 1 (c) 4 (d) 2
  16. 16.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 43 (c) 36 (d) 37
  17. 17.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 3 (c) 2 (d) 4
  18. 18.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 4 (c) 9 (d) 3
  19. 19.What comes next? 16, 24, 32, 40, 48, ? (a) 55 (b) 57 (c) 56 (d) 64
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  21. 21.What comes next? 9, 17, 25, 33, 41, ? (a) 57 (b) 48 (c) 49 (d) 50
  22. 22.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 21 (c) 23 (d) 20
  23. 23.What comes next? 27, 34, 41, 48, 55, ? (a) 63 (b) 62 (c) 61 (d) 69
  24. 24.What comes next? 7, 13, 11, 17, 15, 21, ? (a) 19 (b) 27 (c) 18 (d) 23
  25. 25.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 19 (d) 20
  26. 26.What comes next? 20, 28, 27, 35, 34, 42, ? (a) 50 (b) 41 (c) 40 (d) 43
  27. 27.What comes next? 7, 11, 15, 19, 23, ? (a) 28 (b) 31 (c) 26 (d) 27
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  29. 29.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 31 (c) 30 (d) 29
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  31. 31.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 56 (c) 57 (d) 55
  32. 32.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 12 (c) 11 (d) 4
  33. 33.What comes next? 46, 38, 30, 22, 14, ? (a) 6 (b) 7 (c) 8 (d) 5
  34. 34.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 45 (d) 43
  35. 35.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 30 (c) 29 (d) 28
  36. 36.What comes next? 7, 15, 10, 18, 13, 21, ? (a) 15 (b) 29 (c) 26 (d) 16
  37. 37.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 13 (c) 7 (d) 6
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  39. 39.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 18 (b) 14 (c) 19 (d) 13
  40. 40.What comes next? 27, 35, 43, 51, 59, ? (a) 68 (b) 66 (c) 67 (d) 75

Answer key

  1. 32
  2. 45
  3. 25
  4. 58
  5. 30
  6. 96
  7. 71
  8. 37
  9. 16
  10. 81
  11. 68
  12. 8
  13. 27
  14. 23
  15. 1
  16. 37
  17. 3
  18. 4
  19. 56
  20. 64
  21. 49
  22. 21
  23. 62
  24. 19
  25. 19
  26. 41
  27. 27
  28. 162
  29. 30
  30. 192
  31. 56
  32. 12
  33. 6
  34. 44
  35. 29
  36. 16
  37. 7
  38. 243
  39. 14
  40. 67

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