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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 629 · 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, 16, 26, 36, 46, ? (a) 57 (b) 66 (c) 56 (d) 55
  2. 2.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 48 (d) 47
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  4. 4.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 14 (b) 19 (c) 13 (d) 18
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  6. 6.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 11 (b) 12 (c) 5 (d) 4
  7. 7.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 37 (c) 39 (d) 40
  8. 8.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 24 (b) 21 (c) 26 (d) 22
  9. 9.What comes next? 13, 20, 27, 34, 41, ? (a) 48 (b) 55 (c) 47 (d) 49
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  11. 11.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 55 (c) 56 (d) 57
  12. 12.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 35 (d) 34
  13. 13.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 8 (d) 10
  14. 14.What comes next? 6, 15, 24, 33, 42, ? (a) 51 (b) 52 (c) 60 (d) 50
  15. 15.What comes next? 38, 34, 30, 26, 22, ? (a) 14 (b) 17 (c) 18 (d) 19
  16. 16.What comes next? 34, 32, 30, 28, 26, ? (a) 23 (b) 25 (c) 24 (d) 22
  17. 17.What comes next? 28, 24, 20, 16, 12, ? (a) 7 (b) 8 (c) 9 (d) 4
  18. 18.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 33 (c) 34 (d) 32
  19. 19.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 20 (d) 18
  20. 20.What comes next? 14, 19, 24, 29, 34, ? (a) 38 (b) 44 (c) 39 (d) 40
  21. 21.What comes next? 4, 12, 5, 13, 6, 14, ? (a) 7 (b) 22 (c) 21 (d) 6
  22. 22.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 12 (c) 8 (d) 10
  23. 23.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 29 (b) 23 (c) 24 (d) 26
  24. 24.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 35 (c) 36 (d) 38
  25. 25.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 22 (c) 21 (d) 23
  26. 26.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 26 (c) 25 (d) 27
  27. 27.What comes next? 35, 29, 23, 17, 11, ? (a) 4 (b) 6 (c) 7 (d) 5
  28. 28.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 21 (c) 20 (d) 19
  29. 29.What comes next? 13, 17, 21, 25, 29, ? (a) 37 (b) 32 (c) 34 (d) 33
  30. 30.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 22 (c) 20 (d) 21
  31. 31.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 18 (c) 13 (d) 17
  32. 32.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 71 (c) 61 (d) 60
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  34. 34.What comes next? 28, 40, 52, 64, 76, ? (a) 89 (b) 100 (c) 87 (d) 88
  35. 35.What comes next? 70, 62, 54, 46, 38, ? (a) 31 (b) 30 (c) 29 (d) 22
  36. 36.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 66 (c) 67 (d) 68
  37. 37.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 28 (c) 27 (d) 30
  38. 38.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 4 (c) 5 (d) 3
  39. 39.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  40. 40.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 58 (c) 70 (d) 60

Answer key

  1. 56
  2. 48
  3. 81
  4. 14
  5. 128
  6. 5
  7. 38
  8. 22
  9. 48
  10. 162
  11. 56
  12. 34
  13. 8
  14. 51
  15. 18
  16. 24
  17. 8
  18. 32
  19. 18
  20. 39
  21. 7
  22. 8
  23. 24
  24. 36
  25. 21
  26. 26
  27. 5
  28. 20
  29. 33
  30. 21
  31. 18
  32. 61
  33. 243
  34. 88
  35. 30
  36. 67
  37. 28
  38. 3
  39. 45
  40. 59

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