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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 333 · 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? 20, 25, 24, 29, 28, 33, ? (a) 34 (b) 38 (c) 31 (d) 32
  2. 2.What comes next? 36, 29, 22, 15, 8, ? (a) 2 (b) 3 (c) 4 (d) 1
  3. 3.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 64 (c) 63 (d) 65
  4. 4.What comes next? 15, 24, 18, 27, 21, 30, ? (a) 23 (b) 24 (c) 39 (d) 36
  5. 5.What comes next? 20, 26, 32, 38, 44, ? (a) 56 (b) 50 (c) 51 (d) 49
  6. 6.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 10 (c) 8 (d) 9
  7. 7.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 14 (c) 12 (d) 10
  8. 8.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 36 (d) 34
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  10. 10.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 44 (c) 43 (d) 45
  11. 11.What comes next? 4, 6, 9, 13, 18, ? (a) 24 (b) 26 (c) 23 (d) 25
  12. 12.What comes next? 27, 36, 45, 54, 63, ? (a) 71 (b) 81 (c) 73 (d) 72
  13. 13.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 52 (c) 50 (d) 51
  14. 14.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 25 (b) 19 (c) 26 (d) 18
  15. 15.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 8 (c) 6 (d) 9
  16. 16.What comes next? 56, 48, 40, 32, 24, ? (a) 8 (b) 16 (c) 17 (d) 15
  17. 17.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 46 (c) 48 (d) 47
  18. 18.What comes next? 20, 30, 40, 50, 60, ? (a) 80 (b) 69 (c) 70 (d) 71
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  20. 20.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 36 (c) 31 (d) 32
  21. 21.What comes next? 34, 28, 22, 16, 10, ? (a) 5 (b) 4 (c) 3 (d) 6
  22. 22.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 26 (d) 25
  23. 23.What comes next? 11, 17, 23, 29, 35, ? (a) 42 (b) 40 (c) 41 (d) 47
  24. 24.What comes next? 5, 13, 21, 29, 37, ? (a) 46 (b) 44 (c) 53 (d) 45
  25. 25.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 24 (c) 25 (d) 23
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 97 (d) 120
  27. 27.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 38 (d) 37
  28. 28.What comes next? 26, 24, 22, 20, 18, ? (a) 14 (b) 15 (c) 16 (d) 17
  29. 29.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 37 (c) 36 (d) 34
  30. 30.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 30 (c) 27 (d) 28
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  32. 32.What comes next? 15, 24, 22, 31, 29, 38, ? (a) 36 (b) 35 (c) 47 (d) 40
  33. 33.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  34. 34.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 25 (b) 31 (c) 23 (d) 22
  35. 35.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 28 (c) 27 (d) 26
  36. 36.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 26 (c) 30 (d) 25
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  39. 39.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  40. 40.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 6 (c) 4 (d) 3

Answer key

  1. 32
  2. 1
  3. 64
  4. 24
  5. 50
  6. 9
  7. 13
  8. 35
  9. 243
  10. 44
  11. 24
  12. 72
  13. 51
  14. 19
  15. 9
  16. 16
  17. 47
  18. 70
  19. 32
  20. 32
  21. 4
  22. 25
  23. 41
  24. 45
  25. 24
  26. 96
  27. 38
  28. 16
  29. 35
  30. 29
  31. 81
  32. 36
  33. 27
  34. 23
  35. 27
  36. 26
  37. 128
  38. 162
  39. 21
  40. 4

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