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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 308 · 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? 38, 33, 28, 23, 18, ? (a) 12 (b) 14 (c) 13 (d) 8
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  3. 3.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 20 (d) 19
  4. 4.What comes next? 3, 5, 7, 9, 11, ? (a) 15 (b) 13 (c) 12 (d) 14
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  6. 6.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  8. 8.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 25 (d) 22
  9. 9.What comes next? 22, 25, 28, 31, 34, ? (a) 40 (b) 36 (c) 37 (d) 38
  10. 10.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 20 (c) 21 (d) 22
  11. 11.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 1 (c) 9 (d) 10
  12. 12.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 15 (c) 14 (d) 8
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  14. 14.What comes next? 32, 30, 28, 26, 24, ? (a) 23 (b) 20 (c) 21 (d) 22
  15. 15.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 20 (b) 29 (c) 21 (d) 25
  16. 16.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 43 (c) 42 (d) 45
  17. 17.What comes next? 26, 37, 48, 59, 70, ? (a) 80 (b) 81 (c) 92 (d) 82
  18. 18.What comes next? 6, 16, 26, 36, 46, ? (a) 57 (b) 55 (c) 66 (d) 56
  19. 19.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 25 (c) 24 (d) 27
  20. 20.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 6 (c) 8 (d) 7
  21. 21.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 6 (c) 3 (d) 4
  22. 22.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 27 (d) 29
  23. 23.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 38 (c) 40 (d) 39
  24. 24.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 23 (c) 25 (d) 24
  25. 25.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 26 (d) 28
  26. 26.What comes next? 3, 13, 23, 33, 43, ? (a) 54 (b) 52 (c) 53 (d) 63
  27. 27.What comes next? 50, 42, 34, 26, 18, ? (a) 9 (b) 2 (c) 11 (d) 10
  28. 28.What comes next? 22, 29, 36, 43, 50, ? (a) 57 (b) 64 (c) 56 (d) 58
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  30. 30.What comes next? 4, 9, 14, 19, 24, ? (a) 28 (b) 30 (c) 29 (d) 34
  31. 31.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 36 (c) 37 (d) 38
  32. 32.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 20 (b) 32 (c) 19 (d) 33
  33. 33.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 21 (b) 26 (c) 22 (d) 30
  34. 34.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 11 (b) 27 (c) 26 (d) 12
  35. 35.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 23 (c) 24 (d) 17
  36. 36.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 47 (c) 48 (d) 56
  37. 37.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 26 (c) 28 (d) 27
  38. 38.What comes next? 53, 48, 43, 38, 33, ? (a) 23 (b) 27 (c) 29 (d) 28
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  40. 40.What comes next? 3, 12, 8, 17, 13, 22, ? (a) 26 (b) 17 (c) 18 (d) 31

Answer key

  1. 13
  2. 162
  3. 18
  4. 13
  5. 81
  6. 128
  7. 64
  8. 23
  9. 37
  10. 21
  11. 9
  12. 15
  13. 96
  14. 22
  15. 21
  16. 43
  17. 81
  18. 56
  19. 25
  20. 7
  21. 4
  22. 27
  23. 38
  24. 24
  25. 26
  26. 53
  27. 10
  28. 57
  29. 32
  30. 29
  31. 37
  32. 20
  33. 22
  34. 12
  35. 23
  36. 47
  37. 27
  38. 28
  39. 243
  40. 18

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