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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 67 · 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, 12, 11, 18, 17, 24, ? (a) 22 (b) 23 (c) 25 (d) 31
  2. 2.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 32 (c) 31 (d) 35
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  4. 4.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 10 (c) 4 (d) 9
  5. 5.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 5 (b) 10 (c) 6 (d) 11
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  7. 7.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 18 (d) 16
  8. 8.What comes next? 17, 22, 27, 32, 37, ? (a) 42 (b) 43 (c) 47 (d) 41
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  10. 10.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  11. 11.What comes next? 20, 17, 14, 11, 8, ? (a) 5 (b) 4 (c) 6 (d) 2
  12. 12.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 28 (b) 23 (c) 31 (d) 24
  13. 13.What comes next? 26, 23, 20, 17, 14, ? (a) 10 (b) 8 (c) 12 (d) 11
  14. 14.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 36 (c) 35 (d) 34
  15. 15.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 22 (c) 21 (d) 19
  16. 16.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 32 (c) 35 (d) 34
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  18. 18.What comes next? 24, 29, 34, 39, 44, ? (a) 49 (b) 48 (c) 54 (d) 50
  19. 19.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 18 (c) 17 (d) 16
  20. 20.What comes next? 46, 40, 34, 28, 22, ? (a) 17 (b) 15 (c) 10 (d) 16
  21. 21.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 54 (c) 62 (d) 53
  22. 22.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 22 (b) 21 (c) 26 (d) 30
  23. 23.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 33 (c) 32 (d) 31
  24. 24.What comes next? 12, 20, 28, 36, 44, ? (a) 51 (b) 52 (c) 53 (d) 60
  25. 25.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 36 (d) 38
  26. 26.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 19 (b) 33 (c) 31 (d) 18
  27. 27.What comes next? 9, 16, 14, 21, 19, 26, ? (a) 33 (b) 28 (c) 23 (d) 24
  28. 28.What comes next? 25, 35, 45, 55, 65, ? (a) 75 (b) 76 (c) 85 (d) 74
  29. 29.What comes next? 5, 15, 25, 35, 45, ? (a) 56 (b) 55 (c) 54 (d) 65
  30. 30.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 87 (c) 86 (d) 88
  31. 31.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  32. 32.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  33. 33.What comes next? 14, 22, 15, 23, 16, 24, ? (a) 16 (b) 32 (c) 31 (d) 17
  34. 34.What comes next? 22, 33, 44, 55, 66, ? (a) 76 (b) 78 (c) 88 (d) 77
  35. 35.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 44 (c) 45 (d) 43
  36. 36.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 21 (c) 18 (d) 22
  37. 37.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 19 (d) 23
  38. 38.What comes next? 24, 35, 46, 57, 68, ? (a) 79 (b) 80 (c) 78 (d) 90
  39. 39.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 23 (b) 34 (c) 32 (d) 24
  40. 40.What comes next? 23, 31, 39, 47, 55, ? (a) 64 (b) 62 (c) 71 (d) 63

Answer key

  1. 23
  2. 31
  3. 128
  4. 9
  5. 6
  6. 162
  7. 17
  8. 42
  9. 160
  10. 23
  11. 5
  12. 24
  13. 11
  14. 35
  15. 20
  16. 33
  17. 81
  18. 49
  19. 16
  20. 16
  21. 53
  22. 22
  23. 31
  24. 52
  25. 36
  26. 19
  27. 24
  28. 75
  29. 55
  30. 87
  31. 64
  32. 28
  33. 17
  34. 77
  35. 43
  36. 22
  37. 22
  38. 79
  39. 24
  40. 63

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