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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 241 · 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? 18, 26, 19, 27, 20, 28, ? (a) 20 (b) 35 (c) 36 (d) 21
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  3. 3.What comes next? 13, 19, 25, 31, 37, ? (a) 49 (b) 44 (c) 42 (d) 43
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  5. 5.What comes next? 28, 36, 44, 52, 60, ? (a) 69 (b) 76 (c) 68 (d) 67
  6. 6.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 34 (c) 32 (d) 35
  7. 7.What comes next? 12, 23, 34, 45, 56, ? (a) 66 (b) 78 (c) 68 (d) 67
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  9. 9.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 20 (b) 22 (c) 14 (d) 13
  10. 10.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 3 (c) 4 (d) 5
  11. 11.What comes next? 41, 33, 25, 17, 9, ? (a) 4 (b) 1 (c) 2 (d) 3
  12. 12.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 19 (b) 27 (c) 18 (d) 25
  13. 13.What comes next? 46, 39, 32, 25, 18, ? (a) 11 (b) 4 (c) 10 (d) 12
  14. 14.What comes next? 45, 41, 37, 33, 29, ? (a) 24 (b) 25 (c) 21 (d) 26
  15. 15.What comes next? 19, 31, 43, 55, 67, ? (a) 78 (b) 79 (c) 91 (d) 80
  16. 16.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 1 (d) 3
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  18. 18.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 5 (c) 4 (d) 7
  19. 19.What comes next? 19, 28, 37, 46, 55, ? (a) 63 (b) 73 (c) 65 (d) 64
  20. 20.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 15 (b) 24 (c) 16 (d) 25
  21. 21.What comes next? 16, 28, 40, 52, 64, ? (a) 75 (b) 76 (c) 77 (d) 88
  22. 22.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  23. 23.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 21 (c) 19 (d) 16
  24. 24.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 30 (b) 19 (c) 25 (d) 18
  25. 25.What comes next? 9, 17, 13, 21, 17, 25, ? (a) 20 (b) 29 (c) 21 (d) 33
  26. 26.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 10 (c) 2 (d) 8
  27. 27.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 46 (c) 47 (d) 45
  28. 28.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 18 (b) 17 (c) 20 (d) 22
  29. 29.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 13 (b) 19 (c) 12 (d) 15
  30. 30.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 33 (d) 35
  31. 31.What comes next? 61, 54, 47, 40, 33, ? (a) 27 (b) 19 (c) 25 (d) 26
  32. 32.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 25 (d) 24
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  34. 34.What comes next? 14, 26, 38, 50, 62, ? (a) 73 (b) 75 (c) 86 (d) 74
  35. 35.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 29 (d) 27
  36. 36.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 63 (c) 69 (d) 61
  37. 37.What comes next? 57, 48, 39, 30, 21, ? (a) 12 (b) 3 (c) 13 (d) 11
  38. 38.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 37 (d) 39
  39. 39.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 66 (c) 59 (d) 58
  40. 40.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 21 (b) 20 (c) 9 (d) 10

Answer key

  1. 21
  2. 162
  3. 43
  4. 64
  5. 68
  6. 33
  7. 67
  8. 160
  9. 14
  10. 5
  11. 1
  12. 19
  13. 11
  14. 25
  15. 79
  16. 2
  17. 96
  18. 5
  19. 64
  20. 16
  21. 76
  22. 243
  23. 17
  24. 19
  25. 21
  26. 9
  27. 45
  28. 18
  29. 13
  30. 33
  31. 26
  32. 25
  33. 32
  34. 74
  35. 28
  36. 62
  37. 12
  38. 38
  39. 59
  40. 10

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