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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 609 · 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? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 34 (d) 33
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  3. 3.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 4 (c) 3 (d) 2
  4. 4.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 15 (c) 12 (d) 17
  5. 5.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34
  6. 6.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 53 (c) 54 (d) 59
  7. 7.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 40 (c) 39 (d) 46
  8. 8.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 24 (b) 22 (c) 13 (d) 14
  9. 9.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 19 (c) 16 (d) 17
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  11. 11.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 62 (c) 61 (d) 72
  12. 12.What comes next? 56, 47, 38, 29, 20, ? (a) 10 (b) 12 (c) 2 (d) 11
  13. 13.What comes next? 18, 28, 38, 48, 58, ? (a) 69 (b) 67 (c) 78 (d) 68
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  15. 15.What comes next? 23, 25, 27, 29, 31, ? (a) 32 (b) 35 (c) 34 (d) 33
  16. 16.What comes next? 16, 18, 20, 22, 24, ? (a) 27 (b) 28 (c) 25 (d) 26
  17. 17.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 17 (b) 26 (c) 18 (d) 24
  18. 18.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 19 (c) 23 (d) 22
  19. 19.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 83 (c) 95 (d) 82
  20. 20.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  22. 22.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 44 (c) 43 (d) 42
  23. 23.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 81 (c) 93 (d) 80
  24. 24.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 5 (c) 2 (d) 3
  25. 25.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  26. 26.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 32 (c) 29 (d) 31
  27. 27.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 11 (c) 4 (d) 9
  28. 28.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 2 (c) 3 (d) 4
  29. 29.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 10 (c) 8 (d) 9
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  31. 31.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 11 (c) 5 (d) 10
  32. 32.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 9 (c) 1 (d) 10
  33. 33.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 36 (c) 34 (d) 35
  34. 34.What comes next? 12, 15, 18, 21, 24, ? (a) 30 (b) 27 (c) 28 (d) 26
  35. 35.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 4 (c) 6 (d) 5
  36. 36.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 50 (c) 47 (d) 49
  37. 37.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 5 (c) 7 (d) 4
  38. 38.What comes next? 4, 12, 10, 18, 16, 24, ? (a) 22 (b) 32 (c) 21 (d) 26
  39. 39.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 40 (c) 39 (d) 43
  40. 40.What comes next? 8, 13, 18, 23, 28, ? (a) 33 (b) 34 (c) 32 (d) 38

Answer key

  1. 33
  2. 162
  3. 2
  4. 13
  5. 35
  6. 54
  7. 39
  8. 14
  9. 17
  10. 81
  11. 61
  12. 11
  13. 68
  14. 32
  15. 33
  16. 26
  17. 18
  18. 22
  19. 83
  20. 2
  21. 160
  22. 43
  23. 81
  24. 4
  25. 96
  26. 30
  27. 10
  28. 3
  29. 9
  30. 128
  31. 11
  32. 10
  33. 34
  34. 27
  35. 5
  36. 48
  37. 5
  38. 22
  39. 39
  40. 33

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