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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 262 · 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? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  2. 2.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 29 (b) 28 (c) 33 (d) 36
  3. 3.What comes next? 35, 31, 27, 23, 19, ? (a) 11 (b) 15 (c) 16 (d) 14
  4. 4.What comes next? 6, 15, 11, 20, 16, 25, ? (a) 34 (b) 29 (c) 20 (d) 21
  5. 5.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 33 (b) 27 (c) 24 (d) 25
  6. 6.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 20 (b) 10 (c) 9 (d) 21
  7. 7.What comes next? 3, 8, 13, 18, 23, ? (a) 28 (b) 33 (c) 27 (d) 29
  8. 8.What comes next? 38, 32, 26, 20, 14, ? (a) 9 (b) 2 (c) 8 (d) 7
  9. 9.What comes next? 22, 26, 30, 34, 38, ? (a) 46 (b) 42 (c) 43 (d) 41
  10. 10.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 29 (d) 28
  11. 11.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 10 (b) 16 (c) 11 (d) 15
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  13. 13.What comes next? 7, 19, 31, 43, 55, ? (a) 79 (b) 66 (c) 68 (d) 67
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  15. 15.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  16. 16.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 39 (c) 37 (d) 36
  17. 17.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 11 (c) 10 (d) 4
  18. 18.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 26 (c) 25 (d) 28
  19. 19.What comes next? 3, 9, 5, 11, 7, 13, ? (a) 17 (b) 19 (c) 9 (d) 8
  20. 20.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 35 (c) 37 (d) 36
  21. 21.What comes next? 10, 20, 30, 40, 50, ? (a) 59 (b) 70 (c) 61 (d) 60
  22. 22.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 17 (c) 18 (d) 19
  23. 23.What comes next? 20, 30, 40, 50, 60, ? (a) 69 (b) 71 (c) 70 (d) 80
  24. 24.What comes next? 7, 18, 29, 40, 51, ? (a) 63 (b) 61 (c) 62 (d) 73
  25. 25.What comes next? 18, 22, 26, 30, 34, ? (a) 37 (b) 38 (c) 39 (d) 42
  26. 26.What comes next? 16, 19, 22, 25, 28, ? (a) 32 (b) 31 (c) 30 (d) 34
  27. 27.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 34 (c) 33 (d) 35
  28. 28.What comes next? 68, 60, 52, 44, 36, ? (a) 28 (b) 27 (c) 20 (d) 29
  29. 29.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 8 (b) 12 (c) 7 (d) 14
  30. 30.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 9 (c) 13 (d) 14
  31. 31.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 25 (c) 26 (d) 17
  32. 32.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 11 (d) 10
  33. 33.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 5 (c) 2 (d) 7
  34. 34.What comes next? 14, 12, 10, 8, 6, ? (a) 5 (b) 2 (c) 3 (d) 4
  35. 35.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 28 (b) 19 (c) 18 (d) 25
  36. 36.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 52 (c) 54 (d) 53
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  38. 38.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 27 (c) 26 (d) 28
  39. 39.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 51 (c) 50 (d) 49
  40. 40.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 22 (d) 25

Answer key

  1. 162
  2. 29
  3. 15
  4. 21
  5. 25
  6. 10
  7. 28
  8. 8
  9. 42
  10. 27
  11. 11
  12. 243
  13. 67
  14. 192
  15. 64
  16. 37
  17. 11
  18. 26
  19. 9
  20. 36
  21. 60
  22. 17
  23. 70
  24. 62
  25. 38
  26. 31
  27. 33
  28. 28
  29. 8
  30. 14
  31. 25
  32. 11
  33. 6
  34. 4
  35. 19
  36. 53
  37. 32
  38. 26
  39. 50
  40. 23

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