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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 150 · 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? 16, 21, 26, 31, 36, ? (a) 40 (b) 42 (c) 46 (d) 41
  2. 2.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 47 (c) 48 (d) 50
  3. 3.What comes next? 45, 38, 31, 24, 17, ? (a) 3 (b) 10 (c) 11 (d) 9
  4. 4.What comes next? 17, 29, 41, 53, 65, ? (a) 89 (b) 76 (c) 78 (d) 77
  5. 5.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 5 (c) 7 (d) 4
  6. 6.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 27 (b) 18 (c) 29 (d) 19
  7. 7.What comes next? 11, 20, 15, 24, 19, 28, ? (a) 37 (b) 23 (c) 22 (d) 33
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  9. 9.What comes next? 13, 22, 31, 40, 49, ? (a) 59 (b) 57 (c) 58 (d) 67
  10. 10.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  12. 12.What comes next? 72, 63, 54, 45, 36, ? (a) 18 (b) 28 (c) 27 (d) 26
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  14. 14.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 22 (b) 28 (c) 21 (d) 30
  15. 15.What comes next? 46, 38, 30, 22, 14, ? (a) 7 (b) 5 (c) 6 (d) 8
  16. 16.What comes next? 21, 26, 31, 36, 41, ? (a) 46 (b) 45 (c) 51 (d) 47
  17. 17.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  18. 18.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 22 (c) 23 (d) 21
  19. 19.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 28 (c) 31 (d) 30
  20. 20.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 34 (d) 33
  21. 21.What comes next? 27, 36, 45, 54, 63, ? (a) 71 (b) 73 (c) 81 (d) 72
  22. 22.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 73 (c) 72 (d) 71
  23. 23.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  24. 24.What comes next? 36, 34, 32, 30, 28, ? (a) 24 (b) 26 (c) 27 (d) 25
  25. 25.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 17 (b) 10 (c) 19 (d) 11
  26. 26.What comes next? 10, 19, 28, 37, 46, ? (a) 56 (b) 54 (c) 64 (d) 55
  27. 27.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 42 (c) 40 (d) 39
  28. 28.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  29. 29.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 8 (c) 4 (d) 7
  30. 30.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 29 (c) 27 (d) 24
  31. 31.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 9 (c) 8 (d) 7
  32. 32.What comes next? 14, 19, 15, 20, 16, 21, ? (a) 17 (b) 16 (c) 25 (d) 26
  33. 33.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 4 (c) 13 (d) 12
  34. 34.What comes next? 22, 34, 46, 58, 70, ? (a) 94 (b) 83 (c) 82 (d) 81
  35. 35.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 27 (c) 28 (d) 21
  36. 36.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 12 (b) 18 (c) 11 (d) 16
  37. 37.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 17 (b) 16 (c) 26 (d) 23
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  39. 39.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 15 (c) 21 (d) 14
  40. 40.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 43 (c) 46 (d) 45

Answer key

  1. 41
  2. 48
  3. 10
  4. 77
  5. 5
  6. 19
  7. 23
  8. 96
  9. 58
  10. 24
  11. 162
  12. 27
  13. 192
  14. 22
  15. 6
  16. 46
  17. 32
  18. 22
  19. 29
  20. 34
  21. 72
  22. 72
  23. 9
  24. 26
  25. 11
  26. 55
  27. 40
  28. 160
  29. 8
  30. 25
  31. 8
  32. 17
  33. 12
  34. 82
  35. 27
  36. 12
  37. 17
  38. 81
  39. 15
  40. 44

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