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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 645 · 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? 41, 33, 25, 17, 9, ? (a) 3 (b) 2 (c) 4 (d) 1
  2. 2.What comes next? 4, 15, 26, 37, 48, ? (a) 70 (b) 59 (c) 58 (d) 60
  3. 3.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 32 (d) 30
  4. 4.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 24 (c) 29 (d) 26
  5. 5.What comes next? 17, 28, 39, 50, 61, ? (a) 73 (b) 83 (c) 71 (d) 72
  6. 6.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 9 (c) 8 (d) 10
  7. 7.What comes next? 37, 35, 33, 31, 29, ? (a) 28 (b) 27 (c) 26 (d) 25
  8. 8.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 28 (c) 21 (d) 27
  9. 9.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 7 (b) 13 (c) 15 (d) 6
  10. 10.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 26 (c) 24 (d) 27
  11. 11.What comes next? 19, 28, 22, 31, 25, 34, ? (a) 27 (b) 43 (c) 28 (d) 40
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  13. 13.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 31 (d) 32
  14. 14.What comes next? 7, 13, 19, 25, 31, ? (a) 37 (b) 43 (c) 38 (d) 36
  15. 15.What comes next? 16, 18, 20, 22, 24, ? (a) 27 (b) 28 (c) 26 (d) 25
  16. 16.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 13 (c) 11 (d) 12
  17. 17.What comes next? 8, 17, 26, 35, 44, ? (a) 62 (b) 52 (c) 53 (d) 54
  18. 18.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  19. 19.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 13 (c) 12 (d) 5
  20. 20.What comes next? 12, 19, 18, 25, 24, 31, ? (a) 32 (b) 30 (c) 29 (d) 38
  21. 21.What comes next? 1, 7, 3, 9, 5, 11, ? (a) 17 (b) 15 (c) 7 (d) 6
  22. 22.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 23 (c) 24 (d) 26
  23. 23.What comes next? 56, 48, 40, 32, 24, ? (a) 8 (b) 17 (c) 16 (d) 15
  24. 24.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 58 (c) 57 (d) 56
  25. 25.What comes next? 12, 14, 16, 18, 20, ? (a) 24 (b) 23 (c) 21 (d) 22
  26. 26.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 71 (c) 69 (d) 70
  27. 27.What comes next? 12, 19, 17, 24, 22, 29, ? (a) 26 (b) 27 (c) 31 (d) 36
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  29. 29.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  30. 30.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 34 (c) 33 (d) 37
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  32. 32.What comes next? 16, 20, 24, 28, 32, ? (a) 35 (b) 36 (c) 37 (d) 40
  33. 33.What comes next? 6, 13, 20, 27, 34, ? (a) 41 (b) 40 (c) 48 (d) 42
  34. 34.What comes next? 15, 23, 16, 24, 17, 25, ? (a) 32 (b) 17 (c) 33 (d) 18
  35. 35.What comes next? 20, 27, 23, 30, 26, 33, ? (a) 37 (b) 40 (c) 29 (d) 28
  36. 36.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 22 (d) 21
  37. 37.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 12 (c) 10 (d) 8
  38. 38.What comes next? 2, 4, 6, 8, 10, ? (a) 13 (b) 11 (c) 12 (d) 14
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192

Answer key

  1. 1
  2. 59
  3. 31
  4. 25
  5. 72
  6. 9
  7. 27
  8. 27
  9. 7
  10. 25
  11. 28
  12. 64
  13. 31
  14. 37
  15. 26
  16. 12
  17. 53
  18. 9
  19. 6
  20. 30
  21. 7
  22. 24
  23. 16
  24. 57
  25. 22
  26. 70
  27. 27
  28. 243
  29. 44
  30. 34
  31. 160
  32. 36
  33. 41
  34. 18
  35. 29
  36. 21
  37. 11
  38. 12
  39. 128
  40. 192

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