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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 311 · 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? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 18 (c) 17 (d) 13
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  3. 3.What comes next? 3, 12, 5, 14, 7, 16, ? (a) 9 (b) 23 (c) 25 (d) 8
  4. 4.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 9 (d) 13
  5. 5.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 8 (c) 2 (d) 7
  6. 6.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 41 (d) 38
  7. 7.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 27 (b) 28 (c) 35 (d) 32
  8. 8.What comes next? 5, 14, 23, 32, 41, ? (a) 51 (b) 50 (c) 49 (d) 59
  9. 9.What comes next? 19, 26, 33, 40, 47, ? (a) 54 (b) 53 (c) 61 (d) 55
  10. 10.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 35 (c) 34 (d) 33
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  12. 12.What comes next? 27, 29, 31, 33, 35, ? (a) 36 (b) 37 (c) 39 (d) 38
  13. 13.What comes next? 38, 32, 26, 20, 14, ? (a) 8 (b) 2 (c) 7 (d) 9
  14. 14.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 13 (b) 18 (c) 16 (d) 14
  15. 15.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 43 (d) 44
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  17. 17.What comes next? 66, 57, 48, 39, 30, ? (a) 12 (b) 20 (c) 22 (d) 21
  18. 18.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 26 (c) 25 (d) 17
  19. 19.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 12 (c) 14 (d) 13
  20. 20.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 21 (b) 14 (c) 15 (d) 25
  21. 21.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 10 (c) 12 (d) 14
  22. 22.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 44 (c) 47 (d) 43
  23. 23.What comes next? 56, 50, 44, 38, 32, ? (a) 26 (b) 27 (c) 25 (d) 20
  24. 24.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 29 (c) 30 (d) 28
  25. 25.What comes next? 48, 44, 40, 36, 32, ? (a) 29 (b) 24 (c) 28 (d) 27
  26. 26.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 21 (c) 22 (d) 23
  27. 27.What comes next? 11, 14, 12, 15, 13, 16, ? (a) 19 (b) 13 (c) 14 (d) 18
  28. 28.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 43 (c) 42 (d) 50
  29. 29.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 28 (b) 16 (c) 15 (d) 31
  30. 30.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 37 (b) 34 (c) 42 (d) 35
  31. 31.What comes next? 3, 14, 25, 36, 47, ? (a) 57 (b) 59 (c) 58 (d) 69
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  33. 33.What comes next? 39, 36, 33, 30, 27, ? (a) 21 (b) 23 (c) 24 (d) 25
  34. 34.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 28 (d) 30
  35. 35.What comes next? 29, 27, 25, 23, 21, ? (a) 20 (b) 19 (c) 18 (d) 17
  36. 36.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 34 (c) 36 (d) 33
  37. 37.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 24 (b) 34 (c) 23 (d) 32
  38. 38.What comes next? 5, 10, 15, 20, 25, ? (a) 30 (b) 29 (c) 31 (d) 35
  39. 39.What comes next? 17, 27, 37, 47, 57, ? (a) 67 (b) 77 (c) 68 (d) 66
  40. 40.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 24 (d) 25

Answer key

  1. 13
  2. 160
  3. 9
  4. 9
  5. 7
  6. 39
  7. 28
  8. 50
  9. 54
  10. 34
  11. 81
  12. 37
  13. 8
  14. 14
  15. 42
  16. 32
  17. 21
  18. 25
  19. 13
  20. 15
  21. 10
  22. 43
  23. 26
  24. 29
  25. 28
  26. 22
  27. 14
  28. 43
  29. 16
  30. 35
  31. 58
  32. 162
  33. 24
  34. 28
  35. 19
  36. 34
  37. 24
  38. 30
  39. 67
  40. 24

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