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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 763 · 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) 81 (b) 45 (c) 90 (d) 72
  2. 2.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 24 (b) 30 (c) 23 (d) 35
  3. 3.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 37 (c) 40 (d) 38
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  6. 6.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 18 (c) 19 (d) 16
  7. 7.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 8 (c) 11 (d) 10
  8. 8.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 20 (c) 19 (d) 10
  9. 9.What comes next? 17, 23, 21, 27, 25, 31, ? (a) 37 (b) 33 (c) 29 (d) 28
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  11. 11.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 6 (c) 5 (d) 3
  12. 12.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 18 (c) 15 (d) 16
  13. 13.What comes next? 12, 14, 16, 18, 20, ? (a) 23 (b) 21 (c) 24 (d) 22
  14. 14.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 24 (d) 23
  15. 15.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 30 (c) 28 (d) 27
  16. 16.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 58 (c) 59 (d) 57
  17. 17.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 50 (d) 48
  18. 18.What comes next? 18, 26, 25, 33, 32, 40, ? (a) 38 (b) 41 (c) 39 (d) 48
  19. 19.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 9 (c) 7 (d) 8
  20. 20.What comes next? 13, 20, 15, 22, 17, 24, ? (a) 29 (b) 18 (c) 19 (d) 31
  21. 21.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 15 (b) 12 (c) 19 (d) 13
  22. 22.What comes next? 37, 32, 27, 22, 17, ? (a) 12 (b) 11 (c) 7 (d) 13
  23. 23.What comes next? 2, 7, 12, 17, 22, ? (a) 28 (b) 32 (c) 26 (d) 27
  24. 24.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 23 (b) 17 (c) 24 (d) 16
  25. 25.What comes next? 17, 29, 41, 53, 65, ? (a) 77 (b) 76 (c) 78 (d) 89
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  27. 27.What comes next? 9, 14, 19, 24, 29, ? (a) 35 (b) 39 (c) 33 (d) 34
  28. 28.What comes next? 25, 36, 47, 58, 69, ? (a) 91 (b) 81 (c) 79 (d) 80
  29. 29.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 48 (d) 46
  30. 30.What comes next? 1, 5, 4, 8, 7, 11, ? (a) 12 (b) 15 (c) 10 (d) 9
  31. 31.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 63 (c) 65 (d) 64
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  33. 33.What comes next? 9, 17, 16, 24, 23, 31, ? (a) 39 (b) 30 (c) 32 (d) 29
  34. 34.What comes next? 8, 17, 26, 35, 44, ? (a) 54 (b) 52 (c) 62 (d) 53
  35. 35.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 29 (c) 27 (d) 25
  36. 36.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 34 (d) 33
  37. 37.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 49 (c) 50 (d) 52
  38. 38.What comes next? 39, 32, 25, 18, 11, ? (a) 5 (b) 4 (c) 6 (d) 3
  39. 39.What comes next? 22, 27, 32, 37, 42, ? (a) 48 (b) 46 (c) 52 (d) 47
  40. 40.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 28 (c) 24 (d) 25

Answer key

  1. 81
  2. 24
  3. 38
  4. 162
  5. 243
  6. 17
  7. 9
  8. 19
  9. 29
  10. 32
  11. 5
  12. 16
  13. 22
  14. 23
  15. 29
  16. 58
  17. 48
  18. 39
  19. 7
  20. 19
  21. 13
  22. 12
  23. 27
  24. 17
  25. 77
  26. 96
  27. 34
  28. 80
  29. 46
  30. 10
  31. 64
  32. 160
  33. 30
  34. 53
  35. 26
  36. 34
  37. 50
  38. 4
  39. 47
  40. 25

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