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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 190 · 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? 12, 22, 32, 42, 52, ? (a) 63 (b) 72 (c) 61 (d) 62
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  4. 4.What comes next? 7, 13, 19, 25, 31, ? (a) 36 (b) 43 (c) 37 (d) 38
  5. 5.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 32 (c) 33 (d) 37
  6. 6.What comes next? 50, 45, 40, 35, 30, ? (a) 25 (b) 24 (c) 20 (d) 26
  7. 7.What comes next? 51, 45, 39, 33, 27, ? (a) 22 (b) 21 (c) 15 (d) 20
  8. 8.What comes next? 48, 42, 36, 30, 24, ? (a) 19 (b) 18 (c) 12 (d) 17
  9. 9.What comes next? 37, 34, 31, 28, 25, ? (a) 23 (b) 21 (c) 22 (d) 19
  10. 10.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 31 (d) 32
  11. 11.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 69 (c) 67 (d) 80
  12. 12.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  13. 13.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 26 (b) 27 (c) 29 (d) 35
  14. 14.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 41 (d) 42
  15. 15.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 6 (c) 7 (d) 4
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  17. 17.What comes next? 6, 12, 10, 16, 14, 20, ? (a) 17 (b) 22 (c) 26 (d) 18
  18. 18.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 6 (c) 5 (d) 4
  19. 19.What comes next? 21, 32, 43, 54, 65, ? (a) 77 (b) 76 (c) 87 (d) 75
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  21. 21.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 36 (c) 35 (d) 37
  22. 22.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 20 (b) 17 (c) 24 (d) 18
  23. 23.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  24. 24.What comes next? 25, 30, 35, 40, 45, ? (a) 51 (b) 55 (c) 50 (d) 49
  25. 25.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 26 (c) 23 (d) 25
  26. 26.What comes next? 23, 35, 47, 59, 71, ? (a) 95 (b) 84 (c) 82 (d) 83
  27. 27.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 27 (c) 24 (d) 28
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  29. 29.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 5 (c) 6 (d) 7
  30. 30.What comes next? 20, 27, 24, 31, 28, 35, ? (a) 38 (b) 42 (c) 31 (d) 32
  31. 31.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 17 (d) 15
  32. 32.What comes next? 6, 13, 11, 18, 16, 23, ? (a) 21 (b) 20 (c) 25 (d) 30
  33. 33.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 46 (c) 53 (d) 44
  34. 34.What comes next? 2, 10, 7, 15, 12, 20, ? (a) 28 (b) 17 (c) 16 (d) 23
  35. 35.What comes next? 38, 36, 34, 32, 30, ? (a) 27 (b) 26 (c) 28 (d) 29
  36. 36.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 1 (c) 4 (d) 2
  37. 37.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 10 (b) 11 (c) 22 (d) 21
  38. 38.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 21 (c) 22 (d) 19
  39. 39.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 57 (c) 65 (d) 58
  40. 40.What comes next? 10, 20, 30, 40, 50, ? (a) 61 (b) 70 (c) 59 (d) 60

Answer key

  1. 62
  2. 243
  3. 96
  4. 37
  5. 32
  6. 25
  7. 21
  8. 18
  9. 22
  10. 32
  11. 68
  12. 1
  13. 27
  14. 41
  15. 7
  16. 128
  17. 18
  18. 5
  19. 76
  20. 81
  21. 35
  22. 18
  23. 162
  24. 50
  25. 25
  26. 83
  27. 27
  28. 64
  29. 7
  30. 32
  31. 16
  32. 21
  33. 45
  34. 17
  35. 28
  36. 3
  37. 11
  38. 20
  39. 58
  40. 60

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