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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 338 · 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? 75, 66, 57, 48, 39, ? (a) 31 (b) 30 (c) 29 (d) 21
  2. 2.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 4 (c) 6 (d) 3
  3. 3.What comes next? 19, 21, 24, 28, 33, ? (a) 39 (b) 41 (c) 38 (d) 40
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  6. 6.What comes next? 15, 27, 39, 51, 63, ? (a) 75 (b) 87 (c) 76 (d) 74
  7. 7.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 24 (c) 29 (d) 27
  8. 8.What comes next? 10, 17, 12, 19, 14, 21, ? (a) 15 (b) 28 (c) 16 (d) 26
  9. 9.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 52 (c) 51 (d) 50
  10. 10.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 16 (b) 17 (c) 9 (d) 10
  11. 11.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 42 (c) 45 (d) 41
  12. 12.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 37 (c) 36 (d) 38
  13. 13.What comes next? 30, 26, 22, 18, 14, ? (a) 10 (b) 6 (c) 9 (d) 11
  14. 14.What comes next? 69, 61, 53, 45, 37, ? (a) 29 (b) 21 (c) 30 (d) 28
  15. 15.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 21 (c) 23 (d) 24
  16. 16.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 39 (c) 38 (d) 37
  17. 17.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 8 (b) 9 (c) 13 (d) 15
  18. 18.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 29 (c) 30 (d) 28
  19. 19.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 32 (c) 34 (d) 33
  20. 20.What comes next? 38, 36, 34, 32, 30, ? (a) 28 (b) 29 (c) 27 (d) 26
  21. 21.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 34 (c) 36 (d) 33
  22. 22.What comes next? 26, 38, 50, 62, 74, ? (a) 85 (b) 86 (c) 87 (d) 98
  23. 23.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 31 (c) 28 (d) 29
  24. 24.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 8 (c) 6 (d) 5
  25. 25.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 41 (d) 42
  26. 26.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 45 (d) 47
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  29. 29.What comes next? 18, 16, 14, 12, 10, ? (a) 8 (b) 6 (c) 9 (d) 7
  30. 30.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 37 (c) 36 (d) 35
  31. 31.What comes next? 13, 21, 17, 25, 21, 29, ? (a) 25 (b) 37 (c) 24 (d) 33
  32. 32.What comes next? 8, 15, 11, 18, 14, 21, ? (a) 25 (b) 16 (c) 28 (d) 17
  33. 33.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 8 (c) 6 (d) 7
  34. 34.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  35. 35.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 48 (d) 50
  36. 36.What comes next? 13, 25, 37, 49, 61, ? (a) 72 (b) 74 (c) 73 (d) 85
  37. 37.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 54 (c) 53 (d) 59
  38. 38.What comes next? 4, 6, 8, 10, 12, ? (a) 16 (b) 13 (c) 14 (d) 15
  39. 39.What comes next? 27, 35, 43, 51, 59, ? (a) 66 (b) 68 (c) 75 (d) 67
  40. 40.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 35 (c) 34 (d) 33

Answer key

  1. 30
  2. 4
  3. 39
  4. 96
  5. 162
  6. 75
  7. 25
  8. 16
  9. 50
  10. 10
  11. 41
  12. 37
  13. 10
  14. 29
  15. 24
  16. 38
  17. 9
  18. 30
  19. 33
  20. 28
  21. 34
  22. 86
  23. 29
  24. 6
  25. 42
  26. 45
  27. 128
  28. 243
  29. 8
  30. 36
  31. 25
  32. 17
  33. 7
  34. 32
  35. 48
  36. 73
  37. 53
  38. 14
  39. 67
  40. 34

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