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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 339 · 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? 36, 29, 22, 15, 8, ? (a) 1 (b) 4 (c) 3 (d) 2
  2. 2.What comes next? 10, 19, 11, 20, 12, 21, ? (a) 13 (b) 29 (c) 12 (d) 30
  3. 3.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 2 (c) 4 (d) 3
  4. 4.What comes next? 8, 11, 14, 17, 20, ? (a) 23 (b) 22 (c) 24 (d) 26
  5. 5.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 27 (c) 28 (d) 20
  6. 6.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 37 (c) 39 (d) 38
  7. 7.What comes next? 15, 24, 18, 27, 21, 30, ? (a) 39 (b) 23 (c) 24 (d) 36
  8. 8.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 18 (c) 16 (d) 17
  9. 9.What comes next? 43, 37, 31, 25, 19, ? (a) 12 (b) 7 (c) 14 (d) 13
  10. 10.What comes next? 6, 12, 9, 15, 12, 18, ? (a) 15 (b) 14 (c) 21 (d) 24
  11. 11.What comes next? 50, 43, 36, 29, 22, ? (a) 15 (b) 8 (c) 14 (d) 16
  12. 12.What comes next? 17, 20, 23, 26, 29, ? (a) 35 (b) 31 (c) 32 (d) 33
  13. 13.What comes next? 18, 20, 22, 24, 26, ? (a) 29 (b) 27 (c) 28 (d) 30
  14. 14.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 72 (c) 73 (d) 71
  15. 15.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  16. 16.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 35 (c) 34 (d) 32
  17. 17.What comes next? 6, 14, 12, 20, 18, 26, ? (a) 28 (b) 34 (c) 23 (d) 24
  18. 18.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 48 (c) 51 (d) 49
  19. 19.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 15 (b) 16 (c) 24 (d) 27
  20. 20.What comes next? 50, 44, 38, 32, 26, ? (a) 19 (b) 14 (c) 20 (d) 21
  21. 21.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 8 (c) 10 (d) 12
  22. 22.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 16 (b) 15 (c) 18 (d) 20
  23. 23.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 20 (b) 27 (c) 26 (d) 19
  24. 24.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 39 (d) 37
  25. 25.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 19 (c) 21 (d) 17
  26. 26.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 28 (d) 29
  27. 27.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 19 (c) 20 (d) 21
  28. 28.What comes next? 29, 40, 51, 62, 73, ? (a) 85 (b) 83 (c) 95 (d) 84
  29. 29.What comes next? 29, 32, 35, 38, 41, ? (a) 47 (b) 43 (c) 45 (d) 44
  30. 30.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 60 (c) 51 (d) 52
  31. 31.What comes next? 29, 25, 21, 17, 13, ? (a) 9 (b) 5 (c) 10 (d) 8
  32. 32.What comes next? 12, 24, 36, 48, 60, ? (a) 84 (b) 71 (c) 73 (d) 72
  33. 33.What comes next? 21, 17, 13, 9, 5, ? (a) 4 (b) 2 (c) 3 (d) 1
  34. 34.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 29 (b) 23 (c) 26 (d) 24
  35. 35.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 26 (c) 25 (d) 24
  36. 36.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 26 (c) 31 (d) 29
  37. 37.What comes next? 16, 27, 38, 49, 60, ? (a) 71 (b) 70 (c) 72 (d) 82
  38. 38.What comes next? 24, 29, 34, 39, 44, ? (a) 49 (b) 50 (c) 48 (d) 54
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  40. 40.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 59 (c) 58 (d) 66

Answer key

  1. 1
  2. 13
  3. 3
  4. 23
  5. 27
  6. 37
  7. 24
  8. 17
  9. 13
  10. 15
  11. 15
  12. 32
  13. 28
  14. 72
  15. 30
  16. 33
  17. 24
  18. 49
  19. 16
  20. 20
  21. 11
  22. 16
  23. 20
  24. 37
  25. 20
  26. 29
  27. 20
  28. 84
  29. 44
  30. 51
  31. 9
  32. 72
  33. 1
  34. 24
  35. 25
  36. 30
  37. 71
  38. 49
  39. 128
  40. 59

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