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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 246 · 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) 144 (c) 90 (d) 180
  2. 2.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 24 (c) 23 (d) 22
  3. 3.What comes next? 18, 28, 38, 48, 58, ? (a) 78 (b) 69 (c) 67 (d) 68
  4. 4.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 22 (c) 19 (d) 25
  5. 5.What comes next? 59, 50, 41, 32, 23, ? (a) 5 (b) 13 (c) 15 (d) 14
  6. 6.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 24 (c) 21 (d) 23
  7. 7.What comes next? 2, 10, 8, 16, 14, 22, ? (a) 20 (b) 24 (c) 30 (d) 19
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  9. 9.What comes next? 15, 24, 33, 42, 51, ? (a) 61 (b) 59 (c) 69 (d) 60
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  11. 11.What comes next? 19, 24, 20, 25, 21, 26, ? (a) 21 (b) 30 (c) 22 (d) 31
  12. 12.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 8 (c) 7 (d) 12
  13. 13.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 25 (c) 19 (d) 26
  14. 14.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 22 (c) 23 (d) 24
  15. 15.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 16 (d) 18
  16. 16.What comes next? 30, 26, 22, 18, 14, ? (a) 11 (b) 9 (c) 6 (d) 10
  17. 17.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 26 (c) 28 (d) 27
  18. 18.What comes next? 18, 24, 30, 36, 42, ? (a) 49 (b) 54 (c) 48 (d) 47
  19. 19.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 43 (d) 42
  20. 20.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 11 (c) 15 (d) 10
  21. 21.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 35 (c) 38 (d) 36
  22. 22.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  23. 23.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 19 (c) 18 (d) 20
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  25. 25.What comes next? 12, 20, 28, 36, 44, ? (a) 53 (b) 52 (c) 51 (d) 60
  26. 26.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 57 (c) 59 (d) 58
  27. 27.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 9 (c) 15 (d) 16
  28. 28.What comes next? 16, 24, 18, 26, 20, 28, ? (a) 22 (b) 34 (c) 36 (d) 21
  29. 29.What comes next? 10, 20, 30, 40, 50, ? (a) 61 (b) 70 (c) 59 (d) 60
  30. 30.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 8 (c) 7 (d) 9
  31. 31.What comes next? 5, 13, 21, 29, 37, ? (a) 53 (b) 46 (c) 45 (d) 44
  32. 32.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 39 (c) 37 (d) 41
  33. 33.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 32 (b) 35 (c) 27 (d) 28
  34. 34.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 19 (b) 10 (c) 11 (d) 17
  35. 35.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 16 (c) 8 (d) 18
  36. 36.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 30 (c) 31 (d) 32
  37. 37.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  40. 40.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 17 (d) 20

Answer key

  1. 162
  2. 23
  3. 68
  4. 20
  5. 14
  6. 23
  7. 20
  8. 81
  9. 60
  10. 243
  11. 22
  12. 8
  13. 25
  14. 23
  15. 16
  16. 10
  17. 27
  18. 48
  19. 42
  20. 11
  21. 36
  22. 32
  23. 19
  24. 128
  25. 52
  26. 58
  27. 15
  28. 22
  29. 60
  30. 8
  31. 45
  32. 38
  33. 28
  34. 11
  35. 17
  36. 30
  37. 9
  38. 64
  39. 160
  40. 18

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