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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 561 · 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? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 38 (d) 41
  2. 2.What comes next? 11, 15, 19, 23, 27, ? (a) 35 (b) 31 (c) 32 (d) 30
  3. 3.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 42 (c) 41 (d) 43
  4. 4.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 38 (d) 36
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  6. 6.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 27 (b) 23 (c) 21 (d) 20
  7. 7.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 49 (c) 53 (d) 50
  8. 8.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 30 (c) 26 (d) 24
  9. 9.What comes next? 19, 26, 33, 40, 47, ? (a) 55 (b) 61 (c) 54 (d) 53
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  11. 11.What comes next? 30, 25, 20, 15, 10, ? (a) 4 (b) 6 (c) 7 (d) 5
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  13. 13.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 20 (c) 19 (d) 21
  14. 14.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 14 (c) 9 (d) 12
  15. 15.What comes next? 41, 36, 31, 26, 21, ? (a) 16 (b) 11 (c) 15 (d) 17
  16. 16.What comes next? 18, 26, 20, 28, 22, 30, ? (a) 36 (b) 23 (c) 38 (d) 24
  17. 17.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 29 (b) 32 (c) 30 (d) 36
  18. 18.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 28 (c) 25 (d) 27
  19. 19.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  20. 20.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 31 (d) 33
  21. 21.What comes next? 30, 33, 36, 39, 42, ? (a) 45 (b) 48 (c) 46 (d) 44
  22. 22.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 30 (c) 29 (d) 31
  23. 23.What comes next? 57, 50, 43, 36, 29, ? (a) 15 (b) 22 (c) 23 (d) 21
  24. 24.What comes next? 68, 60, 52, 44, 36, ? (a) 27 (b) 20 (c) 28 (d) 29
  25. 25.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 61 (c) 60 (d) 59
  26. 26.What comes next? 17, 26, 24, 33, 31, 40, ? (a) 49 (b) 38 (c) 42 (d) 37
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  28. 28.What comes next? 19, 21, 24, 28, 33, ? (a) 39 (b) 40 (c) 41 (d) 38
  29. 29.What comes next? 43, 38, 33, 28, 23, ? (a) 13 (b) 19 (c) 18 (d) 17
  30. 30.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 13 (b) 16 (c) 14 (d) 20
  31. 31.What comes next? 24, 27, 30, 33, 36, ? (a) 42 (b) 39 (c) 38 (d) 40
  32. 32.What comes next? 13, 22, 15, 24, 17, 26, ? (a) 35 (b) 18 (c) 19 (d) 33
  33. 33.What comes next? 4, 12, 5, 13, 6, 14, ? (a) 22 (b) 6 (c) 21 (d) 7
  34. 34.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 54 (c) 46 (d) 47
  35. 35.What comes next? 20, 27, 34, 41, 48, ? (a) 56 (b) 54 (c) 62 (d) 55
  36. 36.What comes next? 20, 32, 44, 56, 68, ? (a) 81 (b) 92 (c) 79 (d) 80
  37. 37.What comes next? 6, 15, 24, 33, 42, ? (a) 60 (b) 52 (c) 51 (d) 50
  38. 38.What comes next? 23, 34, 45, 56, 67, ? (a) 79 (b) 77 (c) 89 (d) 78
  39. 39.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 39 (c) 40 (d) 41
  40. 40.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 21 (d) 23

Answer key

  1. 39
  2. 31
  3. 41
  4. 36
  5. 32
  6. 21
  7. 49
  8. 24
  9. 54
  10. 162
  11. 5
  12. 81
  13. 20
  14. 10
  15. 16
  16. 24
  17. 30
  18. 26
  19. 160
  20. 32
  21. 45
  22. 30
  23. 22
  24. 28
  25. 60
  26. 38
  27. 96
  28. 39
  29. 18
  30. 14
  31. 39
  32. 19
  33. 7
  34. 46
  35. 55
  36. 80
  37. 51
  38. 78
  39. 39
  40. 21

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