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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 575 · 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? 29, 26, 23, 20, 17, ? (a) 14 (b) 13 (c) 11 (d) 15
  2. 2.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 29 (d) 27
  3. 3.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 23 (b) 33 (c) 35 (d) 22
  4. 4.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 37 (c) 38 (d) 36
  5. 5.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 10 (c) 11 (d) 12
  6. 6.What comes next? 52, 44, 36, 28, 20, ? (a) 4 (b) 13 (c) 12 (d) 11
  7. 7.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  8. 8.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 7 (c) 5 (d) 6
  9. 9.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 25 (b) 24 (c) 27 (d) 32
  10. 10.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 6 (c) 5 (d) 7
  11. 11.What comes next? 3, 12, 21, 30, 39, ? (a) 57 (b) 47 (c) 49 (d) 48
  12. 12.What comes next? 17, 24, 31, 38, 45, ? (a) 51 (b) 59 (c) 52 (d) 53
  13. 13.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 22 (b) 25 (c) 23 (d) 31
  14. 14.What comes next? 11, 21, 31, 41, 51, ? (a) 60 (b) 61 (c) 71 (d) 62
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  16. 16.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 27 (b) 28 (c) 23 (d) 22
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  18. 18.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 22 (d) 25
  19. 19.What comes next? 2, 14, 26, 38, 50, ? (a) 61 (b) 74 (c) 63 (d) 62
  20. 20.What comes next? 8, 17, 11, 20, 14, 23, ? (a) 29 (b) 32 (c) 17 (d) 16
  21. 21.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 39 (c) 40 (d) 38
  22. 22.What comes next? 44, 40, 36, 32, 28, ? (a) 25 (b) 24 (c) 20 (d) 23
  23. 23.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 22 (c) 21 (d) 20
  24. 24.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 7 (c) 8 (d) 9
  25. 25.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 61 (c) 55 (d) 56
  26. 26.What comes next? 14, 25, 36, 47, 58, ? (a) 80 (b) 70 (c) 69 (d) 68
  27. 27.What comes next? 12, 16, 20, 24, 28, ? (a) 36 (b) 31 (c) 32 (d) 33
  28. 28.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 36 (c) 38 (d) 37
  29. 29.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 21 (b) 19 (c) 10 (d) 11
  30. 30.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 10 (c) 8 (d) 2
  31. 31.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 33 (c) 36 (d) 34
  32. 32.What comes next? 63, 56, 49, 42, 35, ? (a) 29 (b) 27 (c) 21 (d) 28
  33. 33.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 49 (d) 52
  34. 34.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 40 (b) 35 (c) 30 (d) 31
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  36. 36.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 6 (c) 13 (d) 11
  37. 37.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 16 (b) 15 (c) 7 (d) 6
  38. 38.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 19 (d) 20
  39. 39.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 24 (b) 18 (c) 17 (d) 26
  40. 40.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 35 (c) 34 (d) 37

Answer key

  1. 14
  2. 27
  3. 23
  4. 37
  5. 11
  6. 12
  7. 96
  8. 6
  9. 25
  10. 5
  11. 48
  12. 52
  13. 23
  14. 61
  15. 32
  16. 23
  17. 81
  18. 23
  19. 62
  20. 17
  21. 38
  22. 24
  23. 21
  24. 8
  25. 55
  26. 69
  27. 32
  28. 37
  29. 11
  30. 9
  31. 34
  32. 28
  33. 50
  34. 31
  35. 64
  36. 12
  37. 7
  38. 18
  39. 18
  40. 35

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