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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 597 · 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? 48, 42, 36, 30, 24, ? (a) 19 (b) 18 (c) 17 (d) 12
  2. 2.What comes next? 26, 21, 16, 11, 6, ? (a) 4 (b) 2 (c) 1 (d) 3
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  4. 4.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 60 (c) 59 (d) 58
  5. 5.What comes next? 75, 66, 57, 48, 39, ? (a) 21 (b) 30 (c) 29 (d) 31
  6. 6.What comes next? 2, 12, 22, 32, 42, ? (a) 51 (b) 62 (c) 52 (d) 53
  7. 7.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 7 (c) 8 (d) 10
  8. 8.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 13 (c) 5 (d) 12
  9. 9.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 18 (d) 17
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  12. 12.What comes next? 11, 19, 12, 20, 13, 21, ? (a) 28 (b) 14 (c) 29 (d) 13
  13. 13.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 7 (c) 9 (d) 11
  14. 14.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 41 (c) 40 (d) 39
  15. 15.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 46 (c) 54 (d) 47
  16. 16.What comes next? 6, 15, 8, 17, 10, 19, ? (a) 28 (b) 26 (c) 12 (d) 11
  17. 17.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 41 (c) 38 (d) 39
  18. 18.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  19. 19.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 11 (c) 6 (d) 13
  20. 20.What comes next? 21, 31, 41, 51, 61, ? (a) 70 (b) 72 (c) 71 (d) 81
  21. 21.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 26 (b) 30 (c) 25 (d) 36
  22. 22.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 16 (b) 11 (c) 12 (d) 18
  23. 23.What comes next? 6, 13, 20, 27, 34, ? (a) 40 (b) 48 (c) 42 (d) 41
  24. 24.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  26. 26.What comes next? 53, 48, 43, 38, 33, ? (a) 27 (b) 29 (c) 28 (d) 23
  27. 27.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 41 (c) 40 (d) 42
  28. 28.What comes next? 14, 22, 16, 24, 18, 26, ? (a) 34 (b) 32 (c) 19 (d) 20
  29. 29.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 32 (c) 33 (d) 35
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  31. 31.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 3 (c) 4 (d) 2
  32. 32.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 6 (c) 4 (d) 3
  33. 33.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 6 (d) 4
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  35. 35.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 42 (c) 44 (d) 45
  36. 36.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 68 (c) 69 (d) 67
  37. 37.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 3 (c) 6 (d) 5
  38. 38.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 3 (b) 14 (c) 4 (d) 15
  39. 39.What comes next? 18, 20, 22, 24, 26, ? (a) 27 (b) 29 (c) 28 (d) 30
  40. 40.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 11 (b) 19 (c) 12 (d) 16

Answer key

  1. 18
  2. 1
  3. 192
  4. 59
  5. 30
  6. 52
  7. 9
  8. 12
  9. 17
  10. 162
  11. 243
  12. 14
  13. 7
  14. 40
  15. 47
  16. 12
  17. 39
  18. 31
  19. 12
  20. 71
  21. 26
  22. 12
  23. 41
  24. 39
  25. 128
  26. 28
  27. 40
  28. 20
  29. 33
  30. 32
  31. 2
  32. 4
  33. 4
  34. 81
  35. 43
  36. 68
  37. 6
  38. 4
  39. 28
  40. 12

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