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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 615 · 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? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  2. 2.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 31 (c) 30 (d) 29
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  4. 4.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  5. 5.What comes next? 55, 47, 39, 31, 23, ? (a) 15 (b) 7 (c) 16 (d) 14
  6. 6.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 13 (c) 15 (d) 9
  7. 7.What comes next? 6, 16, 26, 36, 46, ? (a) 56 (b) 57 (c) 55 (d) 66
  8. 8.What comes next? 38, 35, 32, 29, 26, ? (a) 24 (b) 23 (c) 22 (d) 20
  9. 9.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 3 (c) 2 (d) 5
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  11. 11.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 18 (d) 17
  12. 12.What comes next? 14, 23, 32, 41, 50, ? (a) 68 (b) 59 (c) 60 (d) 58
  13. 13.What comes next? 50, 44, 38, 32, 26, ? (a) 14 (b) 19 (c) 21 (d) 20
  14. 14.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 38 (c) 37 (d) 39
  15. 15.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18
  16. 16.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 18 (c) 23 (d) 21
  17. 17.What comes next? 48, 43, 38, 33, 28, ? (a) 18 (b) 23 (c) 24 (d) 22
  18. 18.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 27 (c) 30 (d) 29
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  20. 20.What comes next? 46, 41, 36, 31, 26, ? (a) 22 (b) 21 (c) 20 (d) 16
  21. 21.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  22. 22.What comes next? 17, 20, 23, 26, 29, ? (a) 31 (b) 32 (c) 35 (d) 33
  23. 23.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 8 (c) 9 (d) 10
  24. 24.What comes next? 24, 31, 38, 45, 52, ? (a) 59 (b) 60 (c) 58 (d) 66
  25. 25.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 43 (d) 41
  26. 26.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 18 (c) 17 (d) 15
  27. 27.What comes next? 27, 39, 51, 63, 75, ? (a) 87 (b) 86 (c) 88 (d) 99
  28. 28.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  29. 29.What comes next? 15, 21, 17, 23, 19, 25, ? (a) 29 (b) 31 (c) 21 (d) 20
  30. 30.What comes next? 18, 23, 21, 26, 24, 29, ? (a) 34 (b) 31 (c) 27 (d) 26
  31. 31.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  32. 32.What comes next? 19, 28, 37, 46, 55, ? (a) 63 (b) 65 (c) 64 (d) 73
  33. 33.What comes next? 36, 33, 30, 27, 24, ? (a) 18 (b) 22 (c) 21 (d) 20
  34. 34.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 20 (b) 23 (c) 15 (d) 16
  35. 35.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 24 (c) 26 (d) 23
  36. 36.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 9 (c) 8 (d) 14
  37. 37.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 33 (c) 30 (d) 32
  38. 38.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 60 (c) 59 (d) 58
  39. 39.What comes next? 5, 17, 29, 41, 53, ? (a) 64 (b) 66 (c) 65 (d) 77
  40. 40.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 46 (c) 45 (d) 43

Answer key

  1. 243
  2. 30
  3. 162
  4. 31
  5. 15
  6. 14
  7. 56
  8. 23
  9. 3
  10. 81
  11. 18
  12. 59
  13. 20
  14. 38
  15. 19
  16. 22
  17. 23
  18. 28
  19. 128
  20. 21
  21. 64
  22. 32
  23. 9
  24. 59
  25. 42
  26. 17
  27. 87
  28. 160
  29. 21
  30. 27
  31. 32
  32. 64
  33. 21
  34. 16
  35. 24
  36. 9
  37. 31
  38. 59
  39. 65
  40. 44

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