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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 71 · 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? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  3. 3.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 13 (b) 15 (c) 12 (d) 18
  4. 4.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 34 (c) 32 (d) 31
  5. 5.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 25 (b) 21 (c) 18 (d) 19
  6. 6.What comes next? 22, 31, 40, 49, 58, ? (a) 76 (b) 68 (c) 66 (d) 67
  7. 7.What comes next? 4, 12, 8, 16, 12, 20, ? (a) 28 (b) 24 (c) 15 (d) 16
  8. 8.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 32 (b) 18 (c) 17 (d) 30
  9. 9.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 8 (c) 10 (d) 9
  10. 10.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 39 (c) 40 (d) 46
  11. 11.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 28 (c) 31 (d) 29
  12. 12.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 35 (c) 32 (d) 34
  13. 13.What comes next? 24, 32, 40, 48, 56, ? (a) 65 (b) 63 (c) 64 (d) 72
  14. 14.What comes next? 15, 24, 20, 29, 25, 34, ? (a) 30 (b) 43 (c) 29 (d) 38
  15. 15.What comes next? 30, 42, 54, 66, 78, ? (a) 90 (b) 102 (c) 89 (d) 91
  16. 16.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 30 (c) 27 (d) 28
  17. 17.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 21 (b) 29 (c) 20 (d) 23
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  21. 21.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 36 (c) 37 (d) 35
  22. 22.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  23. 23.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 17 (c) 16 (d) 15
  24. 24.What comes next? 58, 49, 40, 31, 22, ? (a) 14 (b) 12 (c) 13 (d) 4
  25. 25.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 25 (c) 23 (d) 26
  26. 26.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 37 (d) 35
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 31 (d) 29
  28. 28.What comes next? 48, 40, 32, 24, 16, ? (a) 9 (b) 8 (c) 10 (d) 7
  29. 29.What comes next? 58, 51, 44, 37, 30, ? (a) 22 (b) 23 (c) 24 (d) 16
  30. 30.What comes next? 6, 18, 30, 42, 54, ? (a) 67 (b) 65 (c) 78 (d) 66
  31. 31.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 5 (b) 6 (c) 10 (d) 11
  32. 32.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 55 (c) 48 (d) 47
  33. 33.What comes next? 19, 21, 23, 25, 27, ? (a) 28 (b) 30 (c) 29 (d) 31
  34. 34.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 16 (c) 17 (d) 15
  35. 35.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 25 (c) 28 (d) 26
  36. 36.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 16 (b) 24 (c) 25 (d) 15
  37. 37.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 47 (c) 45 (d) 46
  38. 38.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 21 (c) 27 (d) 29
  39. 39.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 14 (b) 13 (c) 26 (d) 22
  40. 40.What comes next? 29, 32, 35, 38, 41, ? (a) 44 (b) 43 (c) 45 (d) 47

Answer key

  1. 81
  2. 128
  3. 13
  4. 32
  5. 19
  6. 67
  7. 16
  8. 18
  9. 9
  10. 39
  11. 29
  12. 33
  13. 64
  14. 30
  15. 90
  16. 28
  17. 21
  18. 243
  19. 64
  20. 96
  21. 36
  22. 192
  23. 15
  24. 13
  25. 24
  26. 35
  27. 30
  28. 8
  29. 23
  30. 66
  31. 6
  32. 47
  33. 29
  34. 16
  35. 27
  36. 16
  37. 46
  38. 28
  39. 14
  40. 44

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