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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 412 · 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? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  2. 2.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 42 (d) 40
  3. 3.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 35 (c) 38 (d) 36
  4. 4.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 13 (b) 7 (c) 12 (d) 8
  5. 5.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  6. 6.What comes next? 14, 23, 16, 25, 18, 27, ? (a) 36 (b) 19 (c) 20 (d) 34
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  9. 9.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 33 (c) 32 (d) 31
  10. 10.What comes next? 23, 32, 41, 50, 59, ? (a) 77 (b) 69 (c) 67 (d) 68
  11. 11.What comes next? 67, 59, 51, 43, 35, ? (a) 27 (b) 19 (c) 26 (d) 28
  12. 12.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 25 (c) 26 (d) 18
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  14. 14.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 7 (c) 2 (d) 5
  15. 15.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 28 (b) 34 (c) 27 (d) 39
  16. 16.What comes next? 17, 21, 25, 29, 33, ? (a) 36 (b) 38 (c) 37 (d) 41
  17. 17.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 8 (c) 6 (d) 5
  18. 18.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 29 (b) 33 (c) 36 (d) 28
  19. 19.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 82 (c) 81 (d) 80
  20. 20.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 23 (c) 26 (d) 21
  21. 21.What comes next? 11, 18, 25, 32, 39, ? (a) 46 (b) 45 (c) 47 (d) 53
  22. 22.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 32 (b) 30 (c) 36 (d) 29
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  24. 24.What comes next? 18, 25, 21, 28, 24, 31, ? (a) 38 (b) 27 (c) 35 (d) 26
  25. 25.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 14 (c) 16 (d) 13
  26. 26.What comes next? 43, 40, 37, 34, 31, ? (a) 27 (b) 28 (c) 25 (d) 29
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  28. 28.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  29. 29.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 25 (c) 26 (d) 23
  30. 30.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 28 (d) 29
  31. 31.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 26 (c) 27 (d) 28
  32. 32.What comes next? 19, 21, 23, 25, 27, ? (a) 31 (b) 30 (c) 29 (d) 28
  33. 33.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 17 (c) 23 (d) 24
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  35. 35.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 21 (b) 17 (c) 24 (d) 16
  36. 36.What comes next? 28, 36, 44, 52, 60, ? (a) 68 (b) 69 (c) 67 (d) 76
  37. 37.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 25 (b) 22 (c) 18 (d) 17
  38. 38.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 27 (d) 25
  39. 39.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 62 (c) 63 (d) 61
  40. 40.What comes next? 13, 22, 16, 25, 19, 28, ? (a) 21 (b) 37 (c) 34 (d) 22

Answer key

  1. 192
  2. 40
  3. 36
  4. 8
  5. 41
  6. 20
  7. 81
  8. 162
  9. 32
  10. 68
  11. 27
  12. 26
  13. 64
  14. 6
  15. 28
  16. 37
  17. 7
  18. 29
  19. 81
  20. 21
  21. 46
  22. 30
  23. 32
  24. 27
  25. 14
  26. 28
  27. 128
  28. 29
  29. 24
  30. 29
  31. 27
  32. 29
  33. 23
  34. 243
  35. 17
  36. 68
  37. 18
  38. 26
  39. 62
  40. 22

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