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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 516 · 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? 1, 3, 6, 10, 15, ? (a) 21 (b) 23 (c) 22 (d) 20
  2. 2.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 17 (c) 15 (d) 16
  3. 3.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 3 (c) 5 (d) 6
  4. 4.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 42 (c) 41 (d) 43
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  6. 6.What comes next? 11, 20, 29, 38, 47, ? (a) 57 (b) 65 (c) 56 (d) 55
  7. 7.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 9 (d) 10
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  9. 9.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 32 (c) 33 (d) 31
  10. 10.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 36 (c) 37 (d) 35
  11. 11.What comes next? 20, 30, 40, 50, 60, ? (a) 71 (b) 69 (c) 80 (d) 70
  12. 12.What comes next? 17, 26, 20, 29, 23, 32, ? (a) 25 (b) 26 (c) 41 (d) 38
  13. 13.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 31 (b) 34 (c) 29 (d) 28
  14. 14.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 11 (c) 13 (d) 9
  15. 15.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 81 (c) 82 (d) 80
  16. 16.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 27 (c) 32 (d) 28
  17. 17.What comes next? 29, 25, 21, 17, 13, ? (a) 9 (b) 8 (c) 5 (d) 10
  18. 18.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 39 (d) 38
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  20. 20.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 41 (c) 42 (d) 45
  21. 21.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 3 (c) 4 (d) 5
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  23. 23.What comes next? 29, 40, 51, 62, 73, ? (a) 85 (b) 95 (c) 84 (d) 83
  24. 24.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 25 (d) 24
  25. 25.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 12 (c) 7 (d) 8
  26. 26.What comes next? 13, 17, 21, 25, 29, ? (a) 37 (b) 34 (c) 33 (d) 32
  27. 27.What comes next? 25, 23, 21, 19, 17, ? (a) 16 (b) 15 (c) 14 (d) 13
  28. 28.What comes next? 5, 11, 17, 23, 29, ? (a) 35 (b) 41 (c) 36 (d) 34
  29. 29.What comes next? 14, 18, 22, 26, 30, ? (a) 35 (b) 38 (c) 34 (d) 33
  30. 30.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 16 (c) 15 (d) 18
  31. 31.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 29 (c) 30 (d) 28
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  33. 33.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 41 (d) 38
  34. 34.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 42 (d) 40
  35. 35.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 25 (d) 27
  36. 36.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  37. 37.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 16 (c) 15 (d) 17
  38. 38.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 31 (c) 37 (d) 32
  39. 39.What comes next? 17, 25, 24, 32, 31, 39, ? (a) 40 (b) 47 (c) 38 (d) 37
  40. 40.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 45 (c) 53 (d) 46

Answer key

  1. 21
  2. 16
  3. 4
  4. 42
  5. 81
  6. 56
  7. 10
  8. 128
  9. 32
  10. 36
  11. 70
  12. 26
  13. 29
  14. 9
  15. 81
  16. 28
  17. 9
  18. 38
  19. 32
  20. 41
  21. 3
  22. 64
  23. 84
  24. 24
  25. 8
  26. 33
  27. 15
  28. 35
  29. 34
  30. 16
  31. 28
  32. 162
  33. 39
  34. 40
  35. 25
  36. 31
  37. 17
  38. 32
  39. 38
  40. 46

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