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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 362 · 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? 30, 39, 48, 57, 66, ? (a) 76 (b) 74 (c) 84 (d) 75
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  3. 3.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 27 (c) 25 (d) 26
  4. 4.What comes next? 19, 28, 37, 46, 55, ? (a) 73 (b) 64 (c) 65 (d) 63
  5. 5.What comes next? 18, 27, 22, 31, 26, 35, ? (a) 29 (b) 40 (c) 44 (d) 30
  6. 6.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 21 (c) 20 (d) 22
  7. 7.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 6 (c) 9 (d) 10
  8. 8.What comes next? 45, 42, 39, 36, 33, ? (a) 30 (b) 27 (c) 29 (d) 31
  9. 9.What comes next? 17, 21, 19, 23, 21, 25, ? (a) 27 (b) 23 (c) 22 (d) 29
  10. 10.What comes next? 22, 32, 42, 52, 62, ? (a) 71 (b) 73 (c) 82 (d) 72
  11. 11.What comes next? 38, 33, 28, 23, 18, ? (a) 8 (b) 14 (c) 12 (d) 13
  12. 12.What comes next? 49, 45, 41, 37, 33, ? (a) 29 (b) 28 (c) 25 (d) 30
  13. 13.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 18 (b) 19 (c) 30 (d) 25
  14. 14.What comes next? 9, 18, 27, 36, 45, ? (a) 53 (b) 55 (c) 54 (d) 63
  15. 15.What comes next? 10, 13, 16, 19, 22, ? (a) 28 (b) 26 (c) 25 (d) 24
  16. 16.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 18 (b) 12 (c) 13 (d) 15
  17. 17.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 25 (c) 24 (d) 20
  18. 18.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  19. 19.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 29 (c) 30 (d) 28
  20. 20.What comes next? 27, 32, 37, 42, 47, ? (a) 53 (b) 57 (c) 52 (d) 51
  21. 21.What comes next? 5, 7, 9, 11, 13, ? (a) 17 (b) 16 (c) 15 (d) 14
  22. 22.What comes next? 38, 36, 34, 32, 30, ? (a) 28 (b) 26 (c) 27 (d) 29
  23. 23.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 10 (c) 5 (d) 11
  24. 24.What comes next? 9, 16, 13, 20, 17, 24, ? (a) 21 (b) 31 (c) 20 (d) 27
  25. 25.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 31 (c) 34 (d) 32
  26. 26.What comes next? 9, 21, 33, 45, 57, ? (a) 81 (b) 70 (c) 69 (d) 68
  27. 27.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 39 (c) 40 (d) 41
  28. 28.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  29. 29.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 5 (c) 3 (d) 4
  30. 30.What comes next? 6, 15, 11, 20, 16, 25, ? (a) 21 (b) 20 (c) 29 (d) 34
  31. 31.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 7 (c) 9 (d) 4
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  33. 33.What comes next? 34, 30, 26, 22, 18, ? (a) 10 (b) 15 (c) 13 (d) 14
  34. 34.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 23 (d) 14
  35. 35.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 24 (b) 25 (c) 11 (d) 12
  36. 36.What comes next? 12, 19, 16, 23, 20, 27, ? (a) 23 (b) 34 (c) 24 (d) 30
  37. 37.What comes next? 53, 47, 41, 35, 29, ? (a) 17 (b) 23 (c) 22 (d) 24
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  39. 39.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 6 (c) 9 (d) 8
  40. 40.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 18 (c) 16 (d) 12

Answer key

  1. 75
  2. 81
  3. 26
  4. 64
  5. 30
  6. 21
  7. 9
  8. 30
  9. 23
  10. 72
  11. 13
  12. 29
  13. 19
  14. 54
  15. 25
  16. 13
  17. 20
  18. 128
  19. 29
  20. 52
  21. 15
  22. 28
  23. 11
  24. 21
  25. 32
  26. 69
  27. 40
  28. 160
  29. 3
  30. 21
  31. 8
  32. 32
  33. 14
  34. 23
  35. 12
  36. 24
  37. 23
  38. 64
  39. 7
  40. 12

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