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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 403 · 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? 53, 46, 39, 32, 25, ? (a) 19 (b) 11 (c) 18 (d) 17
  2. 2.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 23 (c) 24 (d) 21
  3. 3.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 5 (c) 4 (d) 3
  4. 4.What comes next? 26, 21, 16, 11, 6, ? (a) 4 (b) 1 (c) 3 (d) 2
  5. 5.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 35 (c) 34 (d) 36
  6. 6.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  7. 7.What comes next? 58, 52, 46, 40, 34, ? (a) 22 (b) 29 (c) 28 (d) 27
  8. 8.What comes next? 1, 10, 3, 12, 5, 14, ? (a) 6 (b) 21 (c) 23 (d) 7
  9. 9.What comes next? 13, 17, 21, 25, 29, ? (a) 33 (b) 37 (c) 32 (d) 34
  10. 10.What comes next? 15, 26, 37, 48, 59, ? (a) 71 (b) 69 (c) 81 (d) 70
  11. 11.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 47 (d) 48
  12. 12.What comes next? 13, 22, 21, 30, 29, 38, ? (a) 36 (b) 37 (c) 39 (d) 47
  13. 13.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 75 (c) 63 (d) 64
  14. 14.What comes next? 15, 24, 21, 30, 27, 36, ? (a) 33 (b) 32 (c) 45 (d) 39
  15. 15.What comes next? 9, 18, 15, 24, 21, 30, ? (a) 27 (b) 39 (c) 33 (d) 26
  16. 16.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 29 (c) 26 (d) 28
  17. 17.What comes next? 13, 11, 9, 7, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  18. 18.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 28 (c) 29 (d) 27
  19. 19.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 6 (c) 8 (d) 7
  20. 20.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 66 (c) 65 (d) 72
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  22. 22.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  23. 23.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 24 (c) 26 (d) 23
  24. 24.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 19 (b) 16 (c) 9 (d) 10
  25. 25.What comes next? 20, 29, 25, 34, 30, 39, ? (a) 48 (b) 34 (c) 43 (d) 35
  26. 26.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 28 (d) 27
  27. 27.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 21 (b) 24 (c) 16 (d) 17
  28. 28.What comes next? 19, 22, 25, 28, 31, ? (a) 33 (b) 37 (c) 34 (d) 35
  29. 29.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 36 (c) 35 (d) 37
  30. 30.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 29 (d) 31
  31. 31.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 37 (c) 36 (d) 39
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  33. 33.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 7 (c) 11 (d) 6
  34. 34.What comes next? 59, 53, 47, 41, 35, ? (a) 30 (b) 29 (c) 23 (d) 28
  35. 35.What comes next? 5, 13, 21, 29, 37, ? (a) 44 (b) 45 (c) 46 (d) 53
  36. 36.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 28 (d) 29
  37. 37.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 38 (d) 40
  38. 38.What comes next? 12, 18, 17, 23, 22, 28, ? (a) 34 (b) 29 (c) 27 (d) 26
  39. 39.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 11 (c) 19 (d) 18
  40. 40.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 41 (c) 44 (d) 42

Answer key

  1. 18
  2. 24
  3. 3
  4. 1
  5. 34
  6. 192
  7. 28
  8. 7
  9. 33
  10. 70
  11. 48
  12. 37
  13. 64
  14. 33
  15. 27
  16. 29
  17. 3
  18. 27
  19. 6
  20. 65
  21. 81
  22. 243
  23. 24
  24. 10
  25. 35
  26. 27
  27. 17
  28. 34
  29. 36
  30. 29
  31. 37
  32. 32
  33. 7
  34. 29
  35. 45
  36. 28
  37. 39
  38. 27
  39. 19
  40. 42

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