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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 666 · 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? 3, 10, 17, 24, 31, ? (a) 39 (b) 37 (c) 38 (d) 45
  2. 2.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 22 (c) 23 (d) 25
  3. 3.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 19 (c) 18 (d) 16
  4. 4.What comes next? 42, 38, 34, 30, 26, ? (a) 22 (b) 23 (c) 18 (d) 21
  5. 5.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 3 (c) 1 (d) 2
  6. 6.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 14 (b) 4 (c) 15 (d) 3
  7. 7.What comes next? 25, 32, 39, 46, 53, ? (a) 61 (b) 59 (c) 60 (d) 67
  8. 8.What comes next? 3, 12, 9, 18, 15, 24, ? (a) 20 (b) 27 (c) 21 (d) 33
  9. 9.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 11 (c) 18 (d) 12
  10. 10.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 2 (c) 5 (d) 3
  11. 11.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 23 (d) 24
  12. 12.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 11 (d) 9
  13. 13.What comes next? 53, 45, 37, 29, 21, ? (a) 14 (b) 13 (c) 12 (d) 5
  14. 14.What comes next? 8, 11, 14, 17, 20, ? (a) 23 (b) 26 (c) 22 (d) 24
  15. 15.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 19 (d) 20
  16. 16.What comes next? 19, 26, 23, 30, 27, 34, ? (a) 31 (b) 41 (c) 30 (d) 37
  17. 17.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 22 (b) 23 (c) 33 (d) 35
  18. 18.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 41 (c) 38 (d) 39
  19. 19.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 25 (c) 26 (d) 20
  20. 20.What comes next? 42, 35, 28, 21, 14, ? (a) 8 (b) 7 (c) 9 (d) 6
  21. 21.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 15 (b) 16 (c) 20 (d) 23
  22. 22.What comes next? 13, 19, 25, 31, 37, ? (a) 49 (b) 42 (c) 43 (d) 44
  23. 23.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 28 (d) 30
  24. 24.What comes next? 12, 20, 28, 36, 44, ? (a) 52 (b) 60 (c) 51 (d) 53
  25. 25.What comes next? 30, 36, 42, 48, 54, ? (a) 61 (b) 66 (c) 60 (d) 59
  26. 26.What comes next? 19, 25, 23, 29, 27, 33, ? (a) 35 (b) 39 (c) 31 (d) 30
  27. 27.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 67 (c) 69 (d) 79
  28. 28.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 35 (c) 34 (d) 32
  29. 29.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 46 (c) 47 (d) 45
  30. 30.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 16 (c) 17 (d) 18
  31. 31.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 48 (d) 47
  32. 32.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 35 (b) 36 (c) 23 (d) 22
  33. 33.What comes next? 16, 25, 19, 28, 22, 31, ? (a) 37 (b) 40 (c) 25 (d) 24
  34. 34.What comes next? 16, 24, 32, 40, 48, ? (a) 55 (b) 64 (c) 57 (d) 56
  35. 35.What comes next? 14, 21, 28, 35, 42, ? (a) 56 (b) 49 (c) 50 (d) 48
  36. 36.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 32 (c) 35 (d) 33
  37. 37.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 38 (b) 29 (c) 28 (d) 31
  38. 38.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 49 (c) 45 (d) 44
  39. 39.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 30 (b) 21 (c) 24 (d) 22
  40. 40.What comes next? 2, 12, 22, 32, 42, ? (a) 52 (b) 53 (c) 62 (d) 51

Answer key

  1. 38
  2. 23
  3. 17
  4. 22
  5. 1
  6. 4
  7. 60
  8. 21
  9. 12
  10. 3
  11. 24
  12. 9
  13. 13
  14. 23
  15. 20
  16. 31
  17. 23
  18. 39
  19. 25
  20. 7
  21. 16
  22. 43
  23. 28
  24. 52
  25. 60
  26. 31
  27. 68
  28. 33
  29. 46
  30. 16
  31. 48
  32. 23
  33. 25
  34. 56
  35. 49
  36. 33
  37. 29
  38. 44
  39. 22
  40. 52

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