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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 440 · 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, 10, 14, 19, 25, ? (a) 34 (b) 33 (c) 31 (d) 32
  2. 2.What comes next? 19, 28, 26, 35, 33, 42, ? (a) 39 (b) 40 (c) 51 (d) 44
  3. 3.What comes next? 16, 27, 38, 49, 60, ? (a) 70 (b) 82 (c) 72 (d) 71
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  5. 5.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 14 (b) 20 (c) 15 (d) 17
  6. 6.What comes next? 13, 22, 21, 30, 29, 38, ? (a) 37 (b) 36 (c) 39 (d) 47
  7. 7.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 22 (c) 21 (d) 23
  8. 8.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 9 (c) 7 (d) 8
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  10. 10.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 32 (d) 34
  11. 11.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  12. 12.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 64 (c) 75 (d) 65
  13. 13.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 18 (c) 16 (d) 17
  14. 14.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 13 (c) 5 (d) 12
  15. 15.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 18 (c) 22 (d) 24
  16. 16.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 26 (c) 17 (d) 25
  17. 17.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31
  18. 18.What comes next? 72, 63, 54, 45, 36, ? (a) 27 (b) 18 (c) 28 (d) 26
  19. 19.What comes next? 1, 10, 3, 12, 5, 14, ? (a) 6 (b) 23 (c) 21 (d) 7
  20. 20.What comes next? 23, 21, 19, 17, 15, ? (a) 12 (b) 13 (c) 14 (d) 11
  21. 21.What comes next? 15, 21, 19, 25, 23, 29, ? (a) 35 (b) 26 (c) 27 (d) 31
  22. 22.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 12 (c) 15 (d) 14
  23. 23.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 32 (c) 33 (d) 34
  24. 24.What comes next? 4, 8, 12, 16, 20, ? (a) 24 (b) 23 (c) 28 (d) 25
  25. 25.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 25 (c) 27 (d) 26
  26. 26.What comes next? 20, 25, 30, 35, 40, ? (a) 50 (b) 46 (c) 44 (d) 45
  27. 27.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 31 (c) 30 (d) 29
  28. 28.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 27 (c) 28 (d) 26
  29. 29.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 21 (d) 24
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  31. 31.What comes next? 58, 50, 42, 34, 26, ? (a) 10 (b) 17 (c) 18 (d) 19
  32. 32.What comes next? 10, 19, 14, 23, 18, 27, ? (a) 22 (b) 21 (c) 32 (d) 36
  33. 33.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 3 (c) 2 (d) 4
  34. 34.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 21 (c) 29 (d) 27
  35. 35.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 31 (c) 30 (d) 29
  36. 36.What comes next? 47, 40, 33, 26, 19, ? (a) 13 (b) 11 (c) 5 (d) 12
  37. 37.What comes next? 15, 18, 22, 27, 33, ? (a) 40 (b) 39 (c) 42 (d) 41
  38. 38.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 58 (c) 57 (d) 56
  39. 39.What comes next? 9, 21, 33, 45, 57, ? (a) 68 (b) 69 (c) 81 (d) 70
  40. 40.What comes next? 1, 10, 7, 16, 13, 22, ? (a) 31 (b) 19 (c) 18 (d) 25

Answer key

  1. 32
  2. 40
  3. 71
  4. 81
  5. 15
  6. 37
  7. 22
  8. 8
  9. 64
  10. 32
  11. 38
  12. 64
  13. 17
  14. 6
  15. 18
  16. 25
  17. 29
  18. 27
  19. 7
  20. 13
  21. 27
  22. 15
  23. 33
  24. 24
  25. 26
  26. 45
  27. 30
  28. 27
  29. 22
  30. 96
  31. 18
  32. 22
  33. 1
  34. 28
  35. 30
  36. 12
  37. 40
  38. 57
  39. 69
  40. 19

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