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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 415 · 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? 49, 42, 35, 28, 21, ? (a) 7 (b) 13 (c) 14 (d) 15
  2. 2.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 32 (d) 31
  3. 3.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 72 (c) 64 (d) 63
  4. 4.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 41 (c) 42 (d) 40
  5. 5.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 2 (d) 3
  6. 6.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 9 (c) 7 (d) 8
  7. 7.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 41 (c) 40 (d) 47
  8. 8.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 37 (d) 39
  9. 9.What comes next? 6, 15, 24, 33, 42, ? (a) 60 (b) 50 (c) 51 (d) 52
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  11. 11.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  12. 12.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 22 (b) 13 (c) 23 (d) 14
  13. 13.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 36 (c) 35 (d) 34
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  16. 16.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 1 (c) 9 (d) 10
  17. 17.What comes next? 43, 39, 35, 31, 27, ? (a) 24 (b) 23 (c) 19 (d) 22
  18. 18.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 9 (b) 19 (c) 8 (d) 20
  19. 19.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 5 (d) 8
  20. 20.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 32 (c) 33 (d) 34
  21. 21.What comes next? 25, 37, 49, 61, 73, ? (a) 84 (b) 86 (c) 97 (d) 85
  22. 22.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 11 (b) 12 (c) 18 (d) 21
  23. 23.What comes next? 20, 29, 26, 35, 32, 41, ? (a) 37 (b) 44 (c) 38 (d) 50
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  25. 25.What comes next? 9, 21, 33, 45, 57, ? (a) 81 (b) 68 (c) 69 (d) 70
  26. 26.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 33 (c) 32 (d) 35
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  28. 28.What comes next? 11, 18, 25, 32, 39, ? (a) 45 (b) 46 (c) 47 (d) 53
  29. 29.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 37 (c) 35 (d) 36
  30. 30.What comes next? 19, 31, 43, 55, 67, ? (a) 80 (b) 78 (c) 79 (d) 91
  31. 31.What comes next? 18, 25, 23, 30, 28, 35, ? (a) 42 (b) 33 (c) 37 (d) 32
  32. 32.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 14 (c) 15 (d) 16
  33. 33.What comes next? 3, 7, 11, 15, 19, ? (a) 22 (b) 24 (c) 27 (d) 23
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  35. 35.What comes next? 11, 23, 35, 47, 59, ? (a) 72 (b) 71 (c) 83 (d) 70
  36. 36.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 30 (c) 31 (d) 29
  37. 37.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 21 (b) 22 (c) 15 (d) 14
  38. 38.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 35 (c) 36 (d) 37
  39. 39.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 7 (c) 8 (d) 6
  40. 40.What comes next? 20, 28, 24, 32, 28, 36, ? (a) 40 (b) 31 (c) 32 (d) 44

Answer key

  1. 14
  2. 31
  3. 63
  4. 40
  5. 3
  6. 8
  7. 40
  8. 38
  9. 51
  10. 81
  11. 2
  12. 14
  13. 35
  14. 32
  15. 243
  16. 9
  17. 23
  18. 9
  19. 6
  20. 33
  21. 85
  22. 12
  23. 38
  24. 64
  25. 69
  26. 33
  27. 160
  28. 46
  29. 36
  30. 79
  31. 33
  32. 15
  33. 23
  34. 162
  35. 71
  36. 29
  37. 15
  38. 35
  39. 7
  40. 32

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