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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 131 · 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, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 38 (d) 39
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  3. 3.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 20 (b) 21 (c) 29 (d) 30
  4. 4.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 48 (d) 50
  5. 5.What comes next? 27, 25, 23, 21, 19, ? (a) 15 (b) 16 (c) 17 (d) 18
  6. 6.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 23 (c) 22 (d) 25
  7. 7.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 26 (d) 27
  8. 8.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 25 (d) 22
  9. 9.What comes next? 3, 9, 15, 21, 27, ? (a) 39 (b) 32 (c) 34 (d) 33
  10. 10.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 32 (c) 30 (d) 31
  11. 11.What comes next? 64, 57, 50, 43, 36, ? (a) 30 (b) 29 (c) 28 (d) 22
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  13. 13.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 5 (c) 6 (d) 4
  14. 14.What comes next? 17, 22, 21, 26, 25, 30, ? (a) 31 (b) 29 (c) 28 (d) 35
  15. 15.What comes next? 51, 45, 39, 33, 27, ? (a) 21 (b) 20 (c) 22 (d) 15
  16. 16.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 10 (b) 24 (c) 11 (d) 23
  17. 17.What comes next? 36, 34, 32, 30, 28, ? (a) 26 (b) 25 (c) 27 (d) 24
  18. 18.What comes next? 70, 61, 52, 43, 34, ? (a) 24 (b) 26 (c) 25 (d) 16
  19. 19.What comes next? 49, 42, 35, 28, 21, ? (a) 15 (b) 14 (c) 7 (d) 13
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  21. 21.What comes next? 14, 17, 20, 23, 26, ? (a) 32 (b) 28 (c) 29 (d) 30
  22. 22.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 20 (b) 13 (c) 12 (d) 19
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  25. 25.What comes next? 30, 26, 22, 18, 14, ? (a) 11 (b) 9 (c) 6 (d) 10
  26. 26.What comes next? 8, 16, 24, 32, 40, ? (a) 56 (b) 47 (c) 49 (d) 48
  27. 27.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 11 (b) 15 (c) 10 (d) 13
  28. 28.What comes next? 17, 23, 20, 26, 23, 29, ? (a) 35 (b) 26 (c) 25 (d) 32
  29. 29.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 37 (d) 34
  30. 30.What comes next? 30, 38, 46, 54, 62, ? (a) 70 (b) 71 (c) 78 (d) 69
  31. 31.What comes next? 12, 18, 13, 19, 14, 20, ? (a) 14 (b) 15 (c) 26 (d) 25
  32. 32.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  33. 33.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 51 (c) 59 (d) 50
  34. 34.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 25 (d) 24
  35. 35.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 6 (c) 9 (d) 8
  36. 36.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 4 (c) 12 (d) 11
  37. 37.What comes next? 51, 43, 35, 27, 19, ? (a) 11 (b) 3 (c) 10 (d) 12
  38. 38.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 20 (c) 22 (d) 21
  39. 39.What comes next? 6, 15, 11, 20, 16, 25, ? (a) 34 (b) 29 (c) 21 (d) 20
  40. 40.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 3 (c) 4 (d) 5

Answer key

  1. 38
  2. 64
  3. 21
  4. 48
  5. 17
  6. 22
  7. 26
  8. 23
  9. 33
  10. 31
  11. 29
  12. 32
  13. 4
  14. 29
  15. 21
  16. 11
  17. 26
  18. 25
  19. 14
  20. 162
  21. 29
  22. 13
  23. 160
  24. 81
  25. 10
  26. 48
  27. 11
  28. 26
  29. 35
  30. 70
  31. 15
  32. 96
  33. 51
  34. 25
  35. 9
  36. 12
  37. 11
  38. 21
  39. 21
  40. 4

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