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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 305 · 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? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 40 (d) 42
  2. 2.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 8 (c) 9 (d) 7
  3. 3.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 8 (d) 5
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  6. 6.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 19 (c) 18 (d) 17
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  8. 8.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 12 (c) 13 (d) 3
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  10. 10.What comes next? 35, 30, 25, 20, 15, ? (a) 10 (b) 9 (c) 11 (d) 5
  11. 11.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 6 (c) 13 (d) 12
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  13. 13.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  14. 14.What comes next? 18, 25, 32, 39, 46, ? (a) 53 (b) 52 (c) 54 (d) 60
  15. 15.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21
  16. 16.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 18 (c) 16 (d) 19
  17. 17.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 41 (c) 38 (d) 39
  18. 18.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 16 (c) 14 (d) 13
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  20. 20.What comes next? 33, 30, 27, 24, 21, ? (a) 18 (b) 15 (c) 19 (d) 17
  21. 21.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 3 (c) 2 (d) 4
  22. 22.What comes next? 20, 22, 24, 26, 28, ? (a) 29 (b) 32 (c) 31 (d) 30
  23. 23.What comes next? 15, 27, 39, 51, 63, ? (a) 75 (b) 74 (c) 76 (d) 87
  24. 24.What comes next? 40, 33, 26, 19, 12, ? (a) 5 (b) 6 (c) 4 (d) 7
  25. 25.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 4 (c) 2 (d) 5
  26. 26.What comes next? 6, 16, 26, 36, 46, ? (a) 66 (b) 55 (c) 56 (d) 57
  27. 27.What comes next? 13, 17, 21, 25, 29, ? (a) 33 (b) 32 (c) 37 (d) 34
  28. 28.What comes next? 19, 27, 23, 31, 27, 35, ? (a) 31 (b) 30 (c) 39 (d) 43
  29. 29.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  30. 30.What comes next? 22, 24, 26, 28, 30, ? (a) 33 (b) 32 (c) 31 (d) 34
  31. 31.What comes next? 19, 29, 39, 49, 59, ? (a) 79 (b) 70 (c) 69 (d) 68
  32. 32.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 45 (d) 44
  33. 33.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 31 (c) 34 (d) 33
  34. 34.What comes next? 34, 31, 28, 25, 22, ? (a) 16 (b) 18 (c) 19 (d) 20
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  36. 36.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 3 (c) 1 (d) 4
  37. 37.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 32 (c) 28 (d) 27
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  39. 39.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 28 (d) 29
  40. 40.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 15 (c) 17 (d) 13

Answer key

  1. 40
  2. 7
  3. 7
  4. 96
  5. 81
  6. 18
  7. 162
  8. 12
  9. 64
  10. 10
  11. 12
  12. 243
  13. 33
  14. 53
  15. 21
  16. 17
  17. 39
  18. 15
  19. 128
  20. 18
  21. 2
  22. 30
  23. 75
  24. 5
  25. 5
  26. 56
  27. 33
  28. 31
  29. 42
  30. 32
  31. 69
  32. 44
  33. 32
  34. 19
  35. 160
  36. 1
  37. 27
  38. 32
  39. 28
  40. 13

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