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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 457 · 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? 26, 23, 20, 17, 14, ? (a) 11 (b) 10 (c) 12 (d) 8
  2. 2.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 32 (c) 31 (d) 33
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  4. 4.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 3 (d) 4
  5. 5.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 34 (c) 37 (d) 35
  6. 6.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 21 (c) 17 (d) 19
  7. 7.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 35 (d) 33
  8. 8.What comes next? 66, 58, 50, 42, 34, ? (a) 18 (b) 25 (c) 26 (d) 27
  9. 9.What comes next? 9, 18, 10, 19, 11, 20, ? (a) 28 (b) 29 (c) 11 (d) 12
  10. 10.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  11. 11.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 22 (c) 21 (d) 23
  12. 12.What comes next? 23, 25, 27, 29, 31, ? (a) 34 (b) 35 (c) 33 (d) 32
  13. 13.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 4 (c) 5 (d) 1
  14. 14.What comes next? 25, 32, 39, 46, 53, ? (a) 61 (b) 60 (c) 67 (d) 59
  15. 15.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 59 (c) 60 (d) 61
  16. 16.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 10 (c) 8 (d) 11
  17. 17.What comes next? 17, 26, 19, 28, 21, 30, ? (a) 22 (b) 39 (c) 23 (d) 37
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  19. 19.What comes next? 12, 20, 13, 21, 14, 22, ? (a) 15 (b) 29 (c) 30 (d) 14
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  21. 21.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 27 (b) 24 (c) 25 (d) 33
  22. 22.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 45 (d) 44
  23. 23.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  24. 24.What comes next? 22, 32, 42, 52, 62, ? (a) 73 (b) 82 (c) 71 (d) 72
  25. 25.What comes next? 29, 37, 45, 53, 61, ? (a) 68 (b) 77 (c) 70 (d) 69
  26. 26.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 51 (c) 50 (d) 56
  27. 27.What comes next? 13, 16, 19, 22, 25, ? (a) 31 (b) 29 (c) 28 (d) 27
  28. 28.What comes next? 30, 34, 38, 42, 46, ? (a) 54 (b) 51 (c) 50 (d) 49
  29. 29.What comes next? 44, 38, 32, 26, 20, ? (a) 14 (b) 13 (c) 8 (d) 15
  30. 30.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 16 (c) 18 (d) 15
  31. 31.What comes next? 18, 27, 26, 35, 34, 43, ? (a) 41 (b) 42 (c) 52 (d) 44
  32. 32.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 9 (c) 8 (d) 1
  33. 33.What comes next? 32, 29, 26, 23, 20, ? (a) 18 (b) 16 (c) 17 (d) 14
  34. 34.What comes next? 16, 21, 26, 31, 36, ? (a) 40 (b) 46 (c) 41 (d) 42
  35. 35.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 82 (c) 95 (d) 83
  36. 36.What comes next? 39, 32, 25, 18, 11, ? (a) 5 (b) 4 (c) 3 (d) 6
  37. 37.What comes next? 63, 54, 45, 36, 27, ? (a) 19 (b) 17 (c) 9 (d) 18
  38. 38.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  39. 39.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 12 (c) 9 (d) 10
  40. 40.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 31 (c) 33 (d) 30

Answer key

  1. 11
  2. 32
  3. 64
  4. 1
  5. 35
  6. 20
  7. 34
  8. 26
  9. 12
  10. 22
  11. 22
  12. 33
  13. 5
  14. 60
  15. 60
  16. 9
  17. 23
  18. 192
  19. 15
  20. 243
  21. 25
  22. 44
  23. 162
  24. 72
  25. 69
  26. 50
  27. 28
  28. 50
  29. 14
  30. 16
  31. 42
  32. 9
  33. 17
  34. 41
  35. 83
  36. 4
  37. 18
  38. 96
  39. 10
  40. 31

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