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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 124 · 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? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  2. 2.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 13 (c) 14 (d) 9
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  4. 4.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 28 (b) 29 (c) 31 (d) 36
  5. 5.What comes next? 18, 23, 28, 33, 38, ? (a) 48 (b) 43 (c) 42 (d) 44
  6. 6.What comes next? 14, 26, 38, 50, 62, ? (a) 75 (b) 74 (c) 86 (d) 73
  7. 7.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 8 (d) 5
  8. 8.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 30 (c) 36 (d) 31
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  10. 10.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 22 (c) 23 (d) 21
  11. 11.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 25 (b) 23 (c) 22 (d) 29
  12. 12.What comes next? 57, 50, 43, 36, 29, ? (a) 23 (b) 21 (c) 22 (d) 15
  13. 13.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 14 (b) 13 (c) 27 (d) 24
  14. 14.What comes next? 16, 18, 20, 22, 24, ? (a) 27 (b) 26 (c) 25 (d) 28
  15. 15.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 7 (b) 8 (c) 18 (d) 20
  16. 16.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 28 (b) 25 (c) 30 (d) 26
  17. 17.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 26 (c) 27 (d) 25
  18. 18.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 50 (c) 51 (d) 52
  19. 19.What comes next? 27, 38, 49, 60, 71, ? (a) 81 (b) 83 (c) 93 (d) 82
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  21. 21.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 35 (d) 33
  22. 22.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 38 (c) 33 (d) 34
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  24. 24.What comes next? 30, 28, 26, 24, 22, ? (a) 18 (b) 21 (c) 19 (d) 20
  25. 25.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 19 (b) 15 (c) 22 (d) 14
  26. 26.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 11 (b) 23 (c) 10 (d) 21
  27. 27.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  28. 28.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 37 (c) 35 (d) 34
  29. 29.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 28 (d) 30
  30. 30.What comes next? 25, 33, 41, 49, 57, ? (a) 73 (b) 66 (c) 64 (d) 65
  31. 31.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 28 (c) 29 (d) 27
  32. 32.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 45 (c) 46 (d) 47
  33. 33.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 43 (d) 44
  34. 34.What comes next? 13, 20, 18, 25, 23, 30, ? (a) 28 (b) 27 (c) 37 (d) 32
  35. 35.What comes next? 56, 48, 40, 32, 24, ? (a) 15 (b) 16 (c) 17 (d) 8
  36. 36.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 7 (c) 6 (d) 8
  37. 37.What comes next? 27, 32, 37, 42, 47, ? (a) 52 (b) 57 (c) 53 (d) 51
  38. 38.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 66 (c) 67 (d) 68
  39. 39.What comes next? 16, 21, 17, 22, 18, 23, ? (a) 19 (b) 18 (c) 28 (d) 27
  40. 40.What comes next? 2, 8, 3, 9, 4, 10, ? (a) 15 (b) 16 (c) 4 (d) 5

Answer key

  1. 162
  2. 13
  3. 243
  4. 29
  5. 43
  6. 74
  7. 6
  8. 31
  9. 128
  10. 22
  11. 23
  12. 22
  13. 14
  14. 26
  15. 8
  16. 26
  17. 26
  18. 51
  19. 82
  20. 81
  21. 33
  22. 33
  23. 192
  24. 20
  25. 15
  26. 11
  27. 32
  28. 35
  29. 28
  30. 65
  31. 28
  32. 45
  33. 43
  34. 28
  35. 16
  36. 7
  37. 52
  38. 67
  39. 19
  40. 5

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