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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 438 · 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? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 38 (d) 37
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  3. 3.What comes next? 27, 30, 33, 36, 39, ? (a) 43 (b) 41 (c) 42 (d) 45
  4. 4.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 47 (c) 49 (d) 52
  5. 5.What comes next? 21, 27, 33, 39, 45, ? (a) 50 (b) 52 (c) 51 (d) 57
  6. 6.What comes next? 18, 23, 28, 33, 38, ? (a) 42 (b) 43 (c) 44 (d) 48
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  8. 8.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 35 (d) 34
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  10. 10.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 36 (c) 39 (d) 37
  11. 11.What comes next? 14, 19, 16, 21, 18, 23, ? (a) 19 (b) 26 (c) 28 (d) 20
  12. 12.What comes next? 32, 30, 28, 26, 24, ? (a) 21 (b) 20 (c) 22 (d) 23
  13. 13.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 8 (c) 10 (d) 7
  14. 14.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 26 (b) 13 (c) 27 (d) 14
  15. 15.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 31 (b) 20 (c) 30 (d) 19
  16. 16.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 30 (c) 28 (d) 31
  17. 17.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 6 (d) 5
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  19. 19.What comes next? 53, 45, 37, 29, 21, ? (a) 13 (b) 5 (c) 12 (d) 14
  20. 20.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 10 (c) 7 (d) 8
  21. 21.What comes next? 20, 22, 24, 26, 28, ? (a) 32 (b) 31 (c) 29 (d) 30
  22. 22.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 15 (c) 8 (d) 14
  23. 23.What comes next? 16, 25, 17, 26, 18, 27, ? (a) 18 (b) 35 (c) 19 (d) 36
  24. 24.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 5 (c) 6 (d) 7
  25. 25.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 30 (c) 24 (d) 23
  26. 26.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 21 (c) 18 (d) 20
  27. 27.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 16 (b) 20 (c) 13 (d) 14
  28. 28.What comes next? 24, 22, 20, 18, 16, ? (a) 14 (b) 13 (c) 15 (d) 12
  29. 29.What comes next? 64, 56, 48, 40, 32, ? (a) 24 (b) 25 (c) 16 (d) 23
  30. 30.What comes next? 14, 26, 38, 50, 62, ? (a) 74 (b) 86 (c) 73 (d) 75
  31. 31.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 2 (c) 3 (d) 4
  32. 32.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 14 (c) 16 (d) 15
  33. 33.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 13 (b) 11 (c) 10 (d) 15
  34. 34.What comes next? 26, 28, 30, 32, 34, ? (a) 35 (b) 38 (c) 37 (d) 36
  35. 35.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 23 (b) 22 (c) 27 (d) 25
  36. 36.What comes next? 16, 27, 38, 49, 60, ? (a) 82 (b) 71 (c) 72 (d) 70
  37. 37.What comes next? 45, 38, 31, 24, 17, ? (a) 11 (b) 10 (c) 9 (d) 3
  38. 38.What comes next? 41, 35, 29, 23, 17, ? (a) 11 (b) 5 (c) 10 (d) 12
  39. 39.What comes next? 38, 35, 32, 29, 26, ? (a) 22 (b) 24 (c) 20 (d) 23
  40. 40.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 6 (c) 5 (d) 2

Answer key

  1. 38
  2. 64
  3. 42
  4. 48
  5. 51
  6. 43
  7. 162
  8. 34
  9. 81
  10. 37
  11. 20
  12. 22
  13. 9
  14. 14
  15. 20
  16. 29
  17. 4
  18. 32
  19. 13
  20. 8
  21. 30
  22. 15
  23. 19
  24. 6
  25. 24
  26. 19
  27. 14
  28. 14
  29. 24
  30. 74
  31. 2
  32. 15
  33. 11
  34. 36
  35. 23
  36. 71
  37. 10
  38. 11
  39. 23
  40. 6

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