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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 307 · 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? 20, 17, 14, 11, 8, ? (a) 5 (b) 6 (c) 4 (d) 2
  2. 2.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 8 (b) 7 (c) 17 (d) 16
  3. 3.What comes next? 19, 28, 25, 34, 31, 40, ? (a) 37 (b) 36 (c) 43 (d) 49
  4. 4.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 18 (c) 16 (d) 17
  5. 5.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 16 (c) 14 (d) 8
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  7. 7.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 70 (c) 58 (d) 60
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  9. 9.What comes next? 16, 23, 30, 37, 44, ? (a) 51 (b) 58 (c) 52 (d) 50
  10. 10.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 10 (c) 11 (d) 4
  11. 11.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 61 (c) 59 (d) 60
  12. 12.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 36 (c) 34 (d) 35
  13. 13.What comes next? 30, 41, 52, 63, 74, ? (a) 84 (b) 86 (c) 85 (d) 96
  14. 14.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 29 (b) 26 (c) 27 (d) 36
  15. 15.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 38 (b) 34 (c) 28 (d) 27
  16. 16.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 18 (b) 20 (c) 25 (d) 17
  17. 17.What comes next? 17, 14, 11, 8, 5, ? (a) 4 (b) 3 (c) 2 (d) 1
  18. 18.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 43 (c) 46 (d) 44
  19. 19.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  20. 20.What comes next? 6, 14, 10, 18, 14, 22, ? (a) 30 (b) 26 (c) 18 (d) 17
  21. 21.What comes next? 36, 34, 32, 30, 28, ? (a) 27 (b) 25 (c) 24 (d) 26
  22. 22.What comes next? 8, 16, 13, 21, 18, 26, ? (a) 22 (b) 29 (c) 34 (d) 23
  23. 23.What comes next? 56, 48, 40, 32, 24, ? (a) 8 (b) 15 (c) 16 (d) 17
  24. 24.What comes next? 3, 15, 27, 39, 51, ? (a) 75 (b) 62 (c) 63 (d) 64
  25. 25.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 40 (c) 34 (d) 35
  26. 26.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 25 (d) 24
  27. 27.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 23 (c) 24 (d) 22
  28. 28.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 22 (b) 37 (c) 35 (d) 23
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  30. 30.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 44 (d) 42
  31. 31.What comes next? 10, 21, 32, 43, 54, ? (a) 66 (b) 64 (c) 76 (d) 65
  32. 32.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 1 (c) 2 (d) 4
  33. 33.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 19 (d) 17
  34. 34.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 41 (d) 40
  35. 35.What comes next? 44, 41, 38, 35, 32, ? (a) 26 (b) 28 (c) 29 (d) 30
  36. 36.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 34 (c) 35 (d) 33
  37. 37.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 38 (b) 27 (c) 33 (d) 26
  38. 38.What comes next? 46, 40, 34, 28, 22, ? (a) 16 (b) 17 (c) 15 (d) 10
  39. 39.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  40. 40.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 33 (b) 29 (c) 28 (d) 38

Answer key

  1. 5
  2. 8
  3. 37
  4. 17
  5. 15
  6. 243
  7. 59
  8. 96
  9. 51
  10. 11
  11. 60
  12. 35
  13. 85
  14. 27
  15. 28
  16. 18
  17. 2
  18. 44
  19. 64
  20. 18
  21. 26
  22. 23
  23. 16
  24. 63
  25. 35
  26. 25
  27. 23
  28. 23
  29. 81
  30. 43
  31. 65
  32. 1
  33. 17
  34. 41
  35. 29
  36. 33
  37. 27
  38. 16
  39. 162
  40. 29

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