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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 651 · 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? 59, 53, 47, 41, 35, ? (a) 28 (b) 30 (c) 29 (d) 23
  2. 2.What comes next? 6, 11, 16, 21, 26, ? (a) 30 (b) 32 (c) 31 (d) 36
  3. 3.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 38 (b) 26 (c) 27 (d) 31
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  5. 5.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 40 (c) 41 (d) 43
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  7. 7.What comes next? 6, 15, 24, 33, 42, ? (a) 52 (b) 60 (c) 51 (d) 50
  8. 8.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 25 (b) 23 (c) 27 (d) 22
  9. 9.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 10 (c) 9 (d) 8
  10. 10.What comes next? 14, 25, 36, 47, 58, ? (a) 80 (b) 68 (c) 70 (d) 69
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  12. 12.What comes next? 30, 37, 44, 51, 58, ? (a) 65 (b) 66 (c) 64 (d) 72
  13. 13.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 28 (d) 27
  14. 14.What comes next? 58, 52, 46, 40, 34, ? (a) 28 (b) 27 (c) 22 (d) 29
  15. 15.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 32 (d) 33
  16. 16.What comes next? 15, 22, 29, 36, 43, ? (a) 50 (b) 51 (c) 57 (d) 49
  17. 17.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 14 (c) 15 (d) 8
  18. 18.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 32 (c) 35 (d) 34
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  20. 20.What comes next? 11, 18, 14, 21, 17, 24, ? (a) 20 (b) 28 (c) 31 (d) 19
  21. 21.What comes next? 11, 19, 13, 21, 15, 23, ? (a) 17 (b) 29 (c) 16 (d) 31
  22. 22.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 24 (b) 23 (c) 17 (d) 16
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  24. 24.What comes next? 69, 61, 53, 45, 37, ? (a) 21 (b) 29 (c) 30 (d) 28
  25. 25.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 44 (c) 43 (d) 42
  26. 26.What comes next? 17, 28, 39, 50, 61, ? (a) 71 (b) 73 (c) 83 (d) 72
  27. 27.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 29 (c) 30 (d) 32
  28. 28.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 17 (c) 15 (d) 18
  29. 29.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 32 (c) 33 (d) 31
  30. 30.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 5 (d) 6
  31. 31.What comes next? 28, 40, 52, 64, 76, ? (a) 89 (b) 100 (c) 87 (d) 88
  32. 32.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 15 (b) 14 (c) 4 (d) 3
  33. 33.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 3 (c) 5 (d) 2
  34. 34.What comes next? 58, 51, 44, 37, 30, ? (a) 23 (b) 24 (c) 16 (d) 22
  35. 35.What comes next? 42, 39, 36, 33, 30, ? (a) 28 (b) 26 (c) 24 (d) 27
  36. 36.What comes next? 11, 9, 7, 5, 3, ? (a) 1 (b) 2 (c) 4 (d) 3
  37. 37.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 27 (d) 28
  38. 38.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  39. 39.What comes next? 13, 18, 23, 28, 33, ? (a) 39 (b) 38 (c) 43 (d) 37
  40. 40.What comes next? 19, 28, 23, 32, 27, 36, ? (a) 31 (b) 45 (c) 30 (d) 41

Answer key

  1. 29
  2. 31
  3. 27
  4. 128
  5. 40
  6. 64
  7. 51
  8. 23
  9. 8
  10. 69
  11. 81
  12. 65
  13. 28
  14. 28
  15. 33
  16. 50
  17. 14
  18. 33
  19. 243
  20. 20
  21. 17
  22. 17
  23. 192
  24. 29
  25. 43
  26. 72
  27. 30
  28. 16
  29. 31
  30. 5
  31. 88
  32. 4
  33. 3
  34. 23
  35. 27
  36. 1
  37. 28
  38. 96
  39. 38
  40. 31

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