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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 568 · 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? 17, 19, 21, 23, 25, ? (a) 29 (b) 27 (c) 28 (d) 26
  2. 2.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 31 (d) 32
  3. 3.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 35 (d) 36
  4. 4.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 8 (b) 15 (c) 7 (d) 14
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  6. 6.What comes next? 27, 35, 43, 51, 59, ? (a) 67 (b) 68 (c) 75 (d) 66
  7. 7.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 5 (c) 4 (d) 3
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  9. 9.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 24 (b) 35 (c) 30 (d) 23
  10. 10.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 9 (c) 8 (d) 10
  11. 11.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 20 (b) 14 (c) 16 (d) 13
  12. 12.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 38 (c) 41 (d) 40
  13. 13.What comes next? 5, 10, 15, 20, 25, ? (a) 29 (b) 35 (c) 30 (d) 31
  14. 14.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 40 (c) 37 (d) 39
  15. 15.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 12 (c) 10 (d) 11
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  17. 17.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 14 (b) 19 (c) 20 (d) 15
  18. 18.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 27 (c) 28 (d) 26
  19. 19.What comes next? 30, 37, 44, 51, 58, ? (a) 66 (b) 65 (c) 64 (d) 72
  20. 20.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 28 (b) 15 (c) 27 (d) 14
  21. 21.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 28 (c) 26 (d) 29
  22. 22.What comes next? 10, 17, 16, 23, 22, 29, ? (a) 28 (b) 36 (c) 30 (d) 27
  23. 23.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  24. 24.What comes next? 11, 22, 33, 44, 55, ? (a) 77 (b) 66 (c) 65 (d) 67
  25. 25.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 42 (c) 50 (d) 43
  26. 26.What comes next? 28, 24, 20, 16, 12, ? (a) 7 (b) 4 (c) 9 (d) 8
  27. 27.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 30 (c) 29 (d) 32
  28. 28.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 6 (c) 7 (d) 8
  29. 29.What comes next? 61, 54, 47, 40, 33, ? (a) 25 (b) 19 (c) 26 (d) 27
  30. 30.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 21 (b) 22 (c) 31 (d) 26
  31. 31.What comes next? 40, 35, 30, 25, 20, ? (a) 10 (b) 16 (c) 14 (d) 15
  32. 32.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 66 (c) 67 (d) 65
  33. 33.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 4 (c) 3 (d) 5
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  35. 35.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 4 (c) 2 (d) 1
  36. 36.What comes next? 13, 20, 27, 34, 41, ? (a) 55 (b) 49 (c) 47 (d) 48
  37. 37.What comes next? 11, 20, 29, 38, 47, ? (a) 56 (b) 57 (c) 65 (d) 55
  38. 38.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 44 (d) 43
  39. 39.What comes next? 51, 45, 39, 33, 27, ? (a) 21 (b) 20 (c) 22 (d) 15
  40. 40.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 25 (b) 28 (c) 23 (d) 22

Answer key

  1. 27
  2. 32
  3. 35
  4. 8
  5. 32
  6. 67
  7. 4
  8. 243
  9. 24
  10. 9
  11. 14
  12. 39
  13. 30
  14. 38
  15. 11
  16. 128
  17. 15
  18. 26
  19. 65
  20. 15
  21. 27
  22. 28
  23. 96
  24. 66
  25. 43
  26. 8
  27. 30
  28. 8
  29. 26
  30. 22
  31. 15
  32. 66
  33. 4
  34. 81
  35. 2
  36. 48
  37. 56
  38. 44
  39. 21
  40. 23

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