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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 186 · 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? 44, 40, 36, 32, 28, ? (a) 20 (b) 25 (c) 24 (d) 23
  2. 2.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 22 (c) 20 (d) 25
  3. 3.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 20 (b) 27 (c) 21 (d) 29
  4. 4.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 37 (d) 36
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  7. 7.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 9 (c) 10 (d) 6
  8. 8.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 60 (d) 61
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  10. 10.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 41 (c) 40 (d) 43
  11. 11.What comes next? 26, 22, 18, 14, 10, ? (a) 2 (b) 7 (c) 5 (d) 6
  12. 12.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 13 (c) 12 (d) 14
  13. 13.What comes next? 50, 43, 36, 29, 22, ? (a) 14 (b) 16 (c) 8 (d) 15
  14. 14.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 8 (c) 7 (d) 10
  15. 15.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 25 (c) 27 (d) 26
  16. 16.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 3 (c) 5 (d) 2
  17. 17.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 2 (c) 4 (d) 3
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  19. 19.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 34 (c) 35 (d) 37
  20. 20.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 16 (c) 19 (d) 18
  21. 21.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  22. 22.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 26 (d) 27
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  24. 24.What comes next? 1, 6, 4, 9, 7, 12, ? (a) 17 (b) 10 (c) 14 (d) 9
  25. 25.What comes next? 11, 14, 17, 20, 23, ? (a) 25 (b) 26 (c) 27 (d) 29
  26. 26.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 41 (d) 43
  27. 27.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 37 (c) 36 (d) 35
  28. 28.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 8 (c) 6 (d) 4
  29. 29.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 21 (c) 24 (d) 23
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  31. 31.What comes next? 41, 34, 27, 20, 13, ? (a) 8 (b) 5 (c) 7 (d) 6
  32. 32.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 19 (b) 22 (c) 14 (d) 15
  33. 33.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 29 (d) 28
  34. 34.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 71 (c) 82 (d) 69
  35. 35.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 53 (c) 45 (d) 46
  36. 36.What comes next? 36, 34, 32, 30, 28, ? (a) 27 (b) 25 (c) 24 (d) 26
  37. 37.What comes next? 10, 18, 12, 20, 14, 22, ? (a) 28 (b) 16 (c) 15 (d) 30
  38. 38.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 30 (b) 26 (c) 32 (d) 25
  39. 39.What comes next? 19, 29, 39, 49, 59, ? (a) 70 (b) 69 (c) 79 (d) 68
  40. 40.What comes next? 8, 11, 14, 17, 20, ? (a) 24 (b) 22 (c) 26 (d) 23

Answer key

  1. 24
  2. 20
  3. 21
  4. 37
  5. 162
  6. 81
  7. 9
  8. 61
  9. 160
  10. 41
  11. 6
  12. 13
  13. 15
  14. 8
  15. 25
  16. 4
  17. 3
  18. 64
  19. 35
  20. 17
  21. 18
  22. 27
  23. 32
  24. 10
  25. 26
  26. 42
  27. 36
  28. 7
  29. 24
  30. 128
  31. 6
  32. 15
  33. 28
  34. 70
  35. 46
  36. 26
  37. 16
  38. 26
  39. 69
  40. 23

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