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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 503 · 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? 8, 15, 22, 29, 36, ? (a) 43 (b) 50 (c) 42 (d) 44
  2. 2.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 20 (c) 23 (d) 21
  3. 3.What comes next? 61, 52, 43, 34, 25, ? (a) 16 (b) 7 (c) 15 (d) 17
  4. 4.What comes next? 2, 9, 3, 10, 4, 11, ? (a) 18 (b) 4 (c) 5 (d) 17
  5. 5.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 44 (d) 39
  6. 6.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 26 (b) 17 (c) 29 (d) 18
  7. 7.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 43 (c) 45 (d) 44
  8. 8.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 24 (d) 27
  9. 9.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 17 (c) 18 (d) 19
  10. 10.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  11. 11.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 37 (c) 36 (d) 39
  12. 12.What comes next? 4, 14, 24, 34, 44, ? (a) 53 (b) 55 (c) 54 (d) 64
  13. 13.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 27 (c) 32 (d) 28
  14. 14.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 26 (b) 30 (c) 22 (d) 21
  15. 15.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 18 (c) 17 (d) 20
  16. 16.What comes next? 17, 24, 31, 38, 45, ? (a) 53 (b) 59 (c) 51 (d) 52
  17. 17.What comes next? 2, 10, 18, 26, 34, ? (a) 41 (b) 50 (c) 43 (d) 42
  18. 18.What comes next? 3, 12, 21, 30, 39, ? (a) 48 (b) 57 (c) 49 (d) 47
  19. 19.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 35 (c) 34 (d) 33
  20. 20.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 14 (c) 16 (d) 13
  21. 21.What comes next? 34, 30, 26, 22, 18, ? (a) 15 (b) 14 (c) 10 (d) 13
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  23. 23.What comes next? 18, 24, 21, 27, 24, 30, ? (a) 33 (b) 36 (c) 26 (d) 27
  24. 24.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 35 (d) 38
  25. 25.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 50 (c) 53 (d) 49
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  27. 27.What comes next? 43, 37, 31, 25, 19, ? (a) 13 (b) 14 (c) 12 (d) 7
  28. 28.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 23 (b) 27 (c) 28 (d) 22
  29. 29.What comes next? 14, 21, 20, 27, 26, 33, ? (a) 40 (b) 32 (c) 31 (d) 34
  30. 30.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 22 (d) 21
  31. 31.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 16 (c) 18 (d) 15
  32. 32.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 35 (b) 32 (c) 28 (d) 27
  33. 33.What comes next? 15, 24, 33, 42, 51, ? (a) 59 (b) 61 (c) 69 (d) 60
  34. 34.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 22 (b) 35 (c) 23 (d) 36
  35. 35.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  36. 36.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 25 (d) 22
  37. 37.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 30 (b) 33 (c) 31 (d) 37
  38. 38.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 12 (c) 17 (d) 18
  39. 39.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 32 (c) 31 (d) 33
  40. 40.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 8 (d) 9

Answer key

  1. 43
  2. 21
  3. 16
  4. 5
  5. 39
  6. 18
  7. 44
  8. 25
  9. 18
  10. 96
  11. 37
  12. 54
  13. 27
  14. 22
  15. 18
  16. 52
  17. 42
  18. 48
  19. 34
  20. 14
  21. 14
  22. 64
  23. 27
  24. 36
  25. 49
  26. 81
  27. 13
  28. 23
  29. 32
  30. 22
  31. 16
  32. 28
  33. 60
  34. 23
  35. 162
  36. 23
  37. 31
  38. 13
  39. 31
  40. 9

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