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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 297 · 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? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  2. 2.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  4. 4.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 9 (c) 7 (d) 11
  5. 5.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 38 (c) 39 (d) 36
  6. 6.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 28 (c) 27 (d) 29
  7. 7.What comes next? 4, 7, 10, 13, 16, ? (a) 20 (b) 22 (c) 19 (d) 18
  8. 8.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 45 (c) 44 (d) 43
  9. 9.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 43 (c) 40 (d) 41
  10. 10.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 33 (b) 20 (c) 30 (d) 19
  11. 11.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 24 (c) 26 (d) 25
  12. 12.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 10 (c) 15 (d) 11
  13. 13.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  14. 14.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 27 (c) 28 (d) 26
  15. 15.What comes next? 59, 53, 47, 41, 35, ? (a) 29 (b) 30 (c) 28 (d) 23
  16. 16.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 37 (c) 39 (d) 38
  17. 17.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 21 (b) 26 (c) 22 (d) 31
  18. 18.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 19 (b) 9 (c) 18 (d) 10
  19. 19.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 20 (d) 21
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  21. 21.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 51 (d) 52
  22. 22.What comes next? 42, 35, 28, 21, 14, ? (a) 8 (b) 6 (c) 7 (d) 9
  23. 23.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 6 (c) 4 (d) 5
  24. 24.What comes next? 42, 37, 32, 27, 22, ? (a) 17 (b) 18 (c) 16 (d) 12
  25. 25.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 16 (c) 8 (d) 18
  26. 26.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 13 (b) 12 (c) 4 (d) 3
  27. 27.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 18 (b) 19 (c) 7 (d) 8
  28. 28.What comes next? 9, 17, 25, 33, 41, ? (a) 57 (b) 50 (c) 48 (d) 49
  29. 29.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 41 (c) 40 (d) 42
  30. 30.What comes next? 4, 16, 28, 40, 52, ? (a) 64 (b) 76 (c) 63 (d) 65
  31. 31.What comes next? 30, 38, 46, 54, 62, ? (a) 71 (b) 78 (c) 70 (d) 69
  32. 32.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 5 (c) 2 (d) 4
  33. 33.What comes next? 19, 27, 35, 43, 51, ? (a) 59 (b) 58 (c) 67 (d) 60
  34. 34.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 59 (c) 60 (d) 61
  35. 35.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 34 (c) 36 (d) 35
  36. 36.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 2 (c) 1 (d) 4
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  38. 38.What comes next? 6, 12, 18, 24, 30, ? (a) 36 (b) 42 (c) 37 (d) 35
  39. 39.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  40. 40.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 8 (c) 7 (d) 9

Answer key

  1. 32
  2. 34
  3. 162
  4. 7
  5. 37
  6. 28
  7. 19
  8. 43
  9. 41
  10. 20
  11. 25
  12. 11
  13. 42
  14. 27
  15. 29
  16. 38
  17. 22
  18. 10
  19. 21
  20. 243
  21. 52
  22. 7
  23. 6
  24. 17
  25. 17
  26. 4
  27. 8
  28. 49
  29. 41
  30. 64
  31. 70
  32. 5
  33. 59
  34. 60
  35. 34
  36. 1
  37. 128
  38. 36
  39. 18
  40. 8

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