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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 467 · 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, 16, 21, 27, 34, ? (a) 41 (b) 43 (c) 42 (d) 44
  2. 2.What comes next? 30, 32, 34, 36, 38, ? (a) 42 (b) 41 (c) 39 (d) 40
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  4. 4.What comes next? 14, 19, 18, 23, 22, 27, ? (a) 32 (b) 25 (c) 28 (d) 26
  5. 5.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 17 (b) 8 (c) 18 (d) 9
  6. 6.What comes next? 36, 33, 30, 27, 24, ? (a) 18 (b) 21 (c) 22 (d) 20
  7. 7.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 31 (c) 29 (d) 30
  8. 8.What comes next? 21, 19, 17, 15, 13, ? (a) 12 (b) 10 (c) 11 (d) 9
  9. 9.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 25 (c) 26 (d) 24
  10. 10.What comes next? 20, 25, 30, 35, 40, ? (a) 45 (b) 46 (c) 44 (d) 50
  11. 11.What comes next? 12, 23, 34, 45, 56, ? (a) 67 (b) 66 (c) 78 (d) 68
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  14. 14.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 26 (b) 22 (c) 13 (d) 14
  15. 15.What comes next? 23, 33, 43, 53, 63, ? (a) 74 (b) 83 (c) 72 (d) 73
  16. 16.What comes next? 40, 33, 26, 19, 12, ? (a) 4 (b) 6 (c) 5 (d) 7
  17. 17.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 28 (b) 30 (c) 34 (d) 27
  18. 18.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 3 (c) 1 (d) 2
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  20. 20.What comes next? 15, 23, 18, 26, 21, 29, ? (a) 24 (b) 34 (c) 23 (d) 37
  21. 21.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 37 (d) 38
  22. 22.What comes next? 20, 28, 22, 30, 24, 32, ? (a) 38 (b) 40 (c) 25 (d) 26
  23. 23.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  24. 24.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 23 (b) 27 (c) 22 (d) 28
  25. 25.What comes next? 22, 32, 42, 52, 62, ? (a) 73 (b) 72 (c) 82 (d) 71
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  27. 27.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 49 (c) 50 (d) 51
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  29. 29.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  30. 30.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 30 (c) 29 (d) 28
  31. 31.What comes next? 23, 30, 37, 44, 51, ? (a) 65 (b) 59 (c) 57 (d) 58
  32. 32.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 74 (c) 76 (d) 75
  33. 33.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 15 (c) 14 (d) 12
  34. 34.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 11 (c) 13 (d) 12
  35. 35.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 34 (c) 32 (d) 33
  36. 36.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 27 (c) 22 (d) 20
  37. 37.What comes next? 39, 37, 35, 33, 31, ? (a) 30 (b) 28 (c) 27 (d) 29
  38. 38.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 51 (c) 50 (d) 52
  39. 39.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  40. 40.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 22 (b) 20 (c) 24 (d) 19

Answer key

  1. 42
  2. 40
  3. 64
  4. 26
  5. 9
  6. 21
  7. 30
  8. 11
  9. 25
  10. 45
  11. 67
  12. 243
  13. 192
  14. 14
  15. 73
  16. 5
  17. 28
  18. 1
  19. 96
  20. 24
  21. 38
  22. 26
  23. 9
  24. 23
  25. 72
  26. 32
  27. 49
  28. 81
  29. 160
  30. 28
  31. 58
  32. 75
  33. 14
  34. 12
  35. 32
  36. 20
  37. 29
  38. 50
  39. 21
  40. 20

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