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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 390 · 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? 19, 23, 22, 26, 25, 29, ? (a) 30 (b) 28 (c) 33 (d) 27
  2. 2.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 19 (b) 27 (c) 26 (d) 20
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  4. 4.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 36 (c) 39 (d) 37
  5. 5.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 44 (c) 43 (d) 45
  6. 6.What comes next? 18, 29, 40, 51, 62, ? (a) 73 (b) 84 (c) 72 (d) 74
  7. 7.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 10 (b) 18 (c) 9 (d) 20
  8. 8.What comes next? 29, 35, 41, 47, 53, ? (a) 59 (b) 58 (c) 60 (d) 65
  9. 9.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 65 (c) 75 (d) 64
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  11. 11.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 20 (d) 19
  12. 12.What comes next? 10, 16, 12, 18, 14, 20, ? (a) 24 (b) 16 (c) 15 (d) 26
  13. 13.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 15 (c) 13 (d) 11
  14. 14.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 6 (c) 7 (d) 3
  15. 15.What comes next? 15, 22, 29, 36, 43, ? (a) 50 (b) 51 (c) 49 (d) 57
  16. 16.What comes next? 41, 37, 33, 29, 25, ? (a) 21 (b) 17 (c) 20 (d) 22
  17. 17.What comes next? 55, 47, 39, 31, 23, ? (a) 14 (b) 15 (c) 16 (d) 7
  18. 18.What comes next? 59, 50, 41, 32, 23, ? (a) 5 (b) 15 (c) 14 (d) 13
  19. 19.What comes next? 7, 19, 31, 43, 55, ? (a) 79 (b) 67 (c) 66 (d) 68
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  21. 21.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 32 (b) 23 (c) 24 (d) 34
  22. 22.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 36 (c) 38 (d) 37
  23. 23.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 31 (d) 33
  24. 24.What comes next? 60, 52, 44, 36, 28, ? (a) 20 (b) 12 (c) 21 (d) 19
  25. 25.What comes next? 4, 10, 16, 22, 28, ? (a) 33 (b) 34 (c) 40 (d) 35
  26. 26.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 17 (c) 9 (d) 15
  27. 27.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 28 (d) 29
  28. 28.What comes next? 30, 37, 44, 51, 58, ? (a) 66 (b) 72 (c) 64 (d) 65
  29. 29.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 21 (b) 28 (c) 26 (d) 22
  30. 30.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 22 (c) 21 (d) 23
  31. 31.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 27 (b) 24 (c) 32 (d) 25
  32. 32.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 44 (c) 45 (d) 43
  33. 33.What comes next? 16, 28, 40, 52, 64, ? (a) 76 (b) 77 (c) 75 (d) 88
  34. 34.What comes next? 23, 19, 15, 11, 7, ? (a) 5 (b) 3 (c) 4 (d) 2
  35. 35.What comes next? 27, 33, 39, 45, 51, ? (a) 57 (b) 58 (c) 63 (d) 56
  36. 36.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 11 (c) 13 (d) 14
  37. 37.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 33 (c) 34 (d) 35
  38. 38.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 21 (b) 14 (c) 25 (d) 15
  39. 39.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 40 (c) 41 (d) 39
  40. 40.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 36 (d) 35

Answer key

  1. 28
  2. 20
  3. 243
  4. 37
  5. 44
  6. 73
  7. 10
  8. 59
  9. 64
  10. 162
  11. 20
  12. 16
  13. 11
  14. 6
  15. 50
  16. 21
  17. 15
  18. 14
  19. 67
  20. 81
  21. 24
  22. 36
  23. 31
  24. 20
  25. 34
  26. 16
  27. 29
  28. 65
  29. 22
  30. 22
  31. 25
  32. 43
  33. 76
  34. 3
  35. 57
  36. 14
  37. 34
  38. 15
  39. 39
  40. 35

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