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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 510 · 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? 7, 15, 23, 31, 39, ? (a) 46 (b) 48 (c) 55 (d) 47
  2. 2.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 64 (c) 66 (d) 65
  3. 3.What comes next? 20, 29, 21, 30, 22, 31, ? (a) 39 (b) 22 (c) 40 (d) 23
  4. 4.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 43 (c) 41 (d) 40
  5. 5.What comes next? 40, 37, 34, 31, 28, ? (a) 26 (b) 24 (c) 25 (d) 22
  6. 6.What comes next? 67, 59, 51, 43, 35, ? (a) 19 (b) 26 (c) 27 (d) 28
  7. 7.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 4 (c) 3 (d) 2
  8. 8.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 28 (c) 31 (d) 29
  9. 9.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 6 (c) 11 (d) 13
  10. 10.What comes next? 21, 23, 25, 27, 29, ? (a) 31 (b) 32 (c) 33 (d) 30
  11. 11.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 19 (c) 22 (d) 20
  12. 12.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 21 (b) 29 (c) 23 (d) 20
  13. 13.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 18 (b) 20 (c) 15 (d) 16
  14. 14.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 45 (d) 47
  15. 15.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 33 (c) 35 (d) 31
  16. 16.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 38 (b) 27 (c) 26 (d) 31
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  18. 18.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 20 (c) 19 (d) 21
  19. 19.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 23 (c) 22 (d) 21
  20. 20.What comes next? 4, 11, 18, 25, 32, ? (a) 39 (b) 38 (c) 46 (d) 40
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  22. 22.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 40 (c) 35 (d) 34
  23. 23.What comes next? 13, 20, 17, 24, 21, 28, ? (a) 24 (b) 25 (c) 31 (d) 35
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  25. 25.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 24 (d) 23
  26. 26.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 27 (d) 26
  27. 27.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 24 (d) 25
  28. 28.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 35 (d) 37
  29. 29.What comes next? 40, 36, 32, 28, 24, ? (a) 21 (b) 16 (c) 19 (d) 20
  30. 30.What comes next? 15, 19, 23, 27, 31, ? (a) 34 (b) 35 (c) 39 (d) 36
  31. 31.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 8 (c) 9 (d) 14
  32. 32.What comes next? 40, 34, 28, 22, 16, ? (a) 11 (b) 9 (c) 10 (d) 4
  33. 33.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 26 (d) 25
  34. 34.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 25 (b) 26 (c) 36 (d) 30
  35. 35.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 11 (c) 10 (d) 12
  36. 36.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 21 (b) 11 (c) 18 (d) 12
  37. 37.What comes next? 59, 52, 45, 38, 31, ? (a) 25 (b) 17 (c) 23 (d) 24
  38. 38.What comes next? 61, 52, 43, 34, 25, ? (a) 15 (b) 16 (c) 7 (d) 17
  39. 39.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 9 (c) 7 (d) 8
  40. 40.What comes next? 9, 11, 13, 15, 17, ? (a) 18 (b) 21 (c) 20 (d) 19

Answer key

  1. 47
  2. 65
  3. 23
  4. 40
  5. 25
  6. 27
  7. 2
  8. 29
  9. 12
  10. 31
  11. 20
  12. 21
  13. 16
  14. 45
  15. 32
  16. 27
  17. 64
  18. 20
  19. 23
  20. 39
  21. 81
  22. 35
  23. 25
  24. 128
  25. 22
  26. 26
  27. 24
  28. 35
  29. 20
  30. 35
  31. 9
  32. 10
  33. 25
  34. 26
  35. 11
  36. 12
  37. 24
  38. 16
  39. 8
  40. 19

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