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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 423 · 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? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  2. 2.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 26 (d) 27
  3. 3.What comes next? 2, 10, 7, 15, 12, 20, ? (a) 16 (b) 23 (c) 17 (d) 28
  4. 4.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 22 (d) 20
  5. 5.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 12 (b) 7 (c) 8 (d) 14
  6. 6.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 18 (c) 13 (d) 17
  7. 7.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 57 (c) 58 (d) 65
  8. 8.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 31 (c) 36 (d) 30
  9. 9.What comes next? 52, 43, 34, 25, 16, ? (a) 9 (b) 6 (c) 8 (d) 7
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  11. 11.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 24 (c) 22 (d) 21
  12. 12.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  13. 13.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 32 (c) 27 (d) 28
  14. 14.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 41 (c) 39 (d) 38
  15. 15.What comes next? 4, 13, 11, 20, 18, 27, ? (a) 25 (b) 36 (c) 24 (d) 29
  16. 16.What comes next? 9, 15, 21, 27, 33, ? (a) 45 (b) 39 (c) 40 (d) 38
  17. 17.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 26 (c) 25 (d) 23
  18. 18.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 32 (c) 31 (d) 33
  19. 19.What comes next? 13, 25, 37, 49, 61, ? (a) 72 (b) 85 (c) 74 (d) 73
  20. 20.What comes next? 30, 42, 54, 66, 78, ? (a) 91 (b) 90 (c) 89 (d) 102
  21. 21.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 41 (d) 44
  22. 22.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 9 (c) 10 (d) 8
  23. 23.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 25 (d) 24
  24. 24.What comes next? 24, 36, 48, 60, 72, ? (a) 83 (b) 84 (c) 85 (d) 96
  25. 25.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 40 (c) 41 (d) 43
  26. 26.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 14 (c) 17 (d) 18
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  28. 28.What comes next? 4, 11, 8, 15, 12, 19, ? (a) 16 (b) 22 (c) 26 (d) 15
  29. 29.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 3 (c) 7 (d) 6
  30. 30.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 34 (b) 33 (c) 42 (d) 36
  31. 31.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  32. 32.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 32 (c) 35 (d) 34
  33. 33.What comes next? 11, 18, 13, 20, 15, 22, ? (a) 27 (b) 16 (c) 17 (d) 29
  34. 34.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 8 (d) 7
  35. 35.What comes next? 28, 33, 38, 43, 48, ? (a) 58 (b) 52 (c) 54 (d) 53
  36. 36.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 11 (c) 6 (d) 9
  37. 37.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 43 (c) 46 (d) 45
  38. 38.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 4 (d) 5
  39. 39.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 36 (d) 37
  40. 40.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 26 (b) 17 (c) 18 (d) 24

Answer key

  1. 160
  2. 27
  3. 17
  4. 21
  5. 8
  6. 13
  7. 57
  8. 31
  9. 7
  10. 243
  11. 22
  12. 1
  13. 28
  14. 39
  15. 25
  16. 39
  17. 24
  18. 32
  19. 73
  20. 90
  21. 42
  22. 8
  23. 25
  24. 84
  25. 41
  26. 17
  27. 162
  28. 16
  29. 7
  30. 34
  31. 192
  32. 33
  33. 17
  34. 7
  35. 53
  36. 10
  37. 44
  38. 4
  39. 37
  40. 18

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