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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 588 · 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? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  2. 2.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 19 (c) 18 (d) 17
  3. 3.What comes next? 17, 27, 37, 47, 57, ? (a) 67 (b) 68 (c) 77 (d) 66
  4. 4.What comes next? 45, 41, 37, 33, 29, ? (a) 25 (b) 24 (c) 21 (d) 26
  5. 5.What comes next? 72, 63, 54, 45, 36, ? (a) 18 (b) 27 (c) 28 (d) 26
  6. 6.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 40 (c) 42 (d) 41
  7. 7.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 7 (c) 4 (d) 6
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  9. 9.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 65 (c) 67 (d) 76
  10. 10.What comes next? 17, 19, 21, 23, 25, ? (a) 29 (b) 26 (c) 27 (d) 28
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  12. 12.What comes next? 30, 26, 22, 18, 14, ? (a) 6 (b) 10 (c) 9 (d) 11
  13. 13.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 40 (c) 37 (d) 39
  14. 14.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 44 (c) 43 (d) 45
  15. 15.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  17. 17.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 2 (c) 1 (d) 3
  18. 18.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 34 (c) 36 (d) 35
  19. 19.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 90 (c) 89 (d) 88
  20. 20.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 25 (c) 23 (d) 24
  21. 21.What comes next? 20, 26, 32, 38, 44, ? (a) 50 (b) 51 (c) 56 (d) 49
  22. 22.What comes next? 26, 35, 44, 53, 62, ? (a) 72 (b) 71 (c) 70 (d) 80
  23. 23.What comes next? 48, 43, 38, 33, 28, ? (a) 22 (b) 23 (c) 24 (d) 18
  24. 24.What comes next? 22, 29, 36, 43, 50, ? (a) 57 (b) 58 (c) 56 (d) 64
  25. 25.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 4 (c) 3 (d) 5
  26. 26.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 14 (c) 7 (d) 15
  27. 27.What comes next? 19, 29, 39, 49, 59, ? (a) 79 (b) 70 (c) 69 (d) 68
  28. 28.What comes next? 63, 56, 49, 42, 35, ? (a) 21 (b) 28 (c) 27 (d) 29
  29. 29.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 50 (c) 49 (d) 51
  30. 30.What comes next? 58, 51, 44, 37, 30, ? (a) 24 (b) 16 (c) 22 (d) 23
  31. 31.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  32. 32.What comes next? 50, 44, 38, 32, 26, ? (a) 14 (b) 21 (c) 20 (d) 19
  33. 33.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 30 (c) 29 (d) 28
  34. 34.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 24 (b) 26 (c) 30 (d) 23
  35. 35.What comes next? 45, 37, 29, 21, 13, ? (a) 4 (b) 5 (c) 6 (d) 7
  36. 36.What comes next? 2, 8, 4, 10, 6, 12, ? (a) 7 (b) 18 (c) 8 (d) 16
  37. 37.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 24 (d) 23
  38. 38.What comes next? 4, 8, 12, 16, 20, ? (a) 23 (b) 24 (c) 25 (d) 28
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  40. 40.What comes next? 10, 17, 13, 20, 16, 23, ? (a) 18 (b) 27 (c) 30 (d) 19

Answer key

  1. 162
  2. 18
  3. 67
  4. 25
  5. 27
  6. 41
  7. 6
  8. 243
  9. 66
  10. 27
  11. 128
  12. 10
  13. 38
  14. 44
  15. 33
  16. 32
  17. 2
  18. 35
  19. 89
  20. 24
  21. 50
  22. 71
  23. 23
  24. 57
  25. 4
  26. 14
  27. 69
  28. 28
  29. 50
  30. 23
  31. 31
  32. 20
  33. 29
  34. 24
  35. 5
  36. 8
  37. 24
  38. 24
  39. 160
  40. 19

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