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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 482 · 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? 9, 14, 12, 17, 15, 20, ? (a) 25 (b) 22 (c) 18 (d) 17
  2. 2.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 35 (b) 31 (c) 40 (d) 30
  3. 3.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 4 (d) 1
  4. 4.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 5 (c) 9 (d) 10
  5. 5.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 20 (c) 21 (d) 18
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  7. 7.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 23 (c) 22 (d) 21
  8. 8.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 38 (c) 37 (d) 39
  9. 9.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 3 (c) 6 (d) 5
  10. 10.What comes next? 29, 34, 39, 44, 49, ? (a) 53 (b) 59 (c) 55 (d) 54
  11. 11.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 33 (c) 34 (d) 38
  12. 12.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 28 (d) 30
  13. 13.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 38 (d) 35
  14. 14.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 31 (b) 21 (c) 22 (d) 26
  15. 15.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  16. 16.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 81 (c) 80 (d) 93
  17. 17.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 2 (c) 1 (d) 3
  18. 18.What comes next? 13, 18, 23, 28, 33, ? (a) 43 (b) 37 (c) 39 (d) 38
  19. 19.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 39 (c) 40 (d) 41
  20. 20.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 37 (c) 38 (d) 39
  21. 21.What comes next? 36, 33, 30, 27, 24, ? (a) 18 (b) 22 (c) 21 (d) 20
  22. 22.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 6 (c) 9 (d) 7
  23. 23.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 46 (c) 45 (d) 48
  24. 24.What comes next? 2, 9, 16, 23, 30, ? (a) 37 (b) 38 (c) 44 (d) 36
  25. 25.What comes next? 48, 43, 38, 33, 28, ? (a) 23 (b) 22 (c) 18 (d) 24
  26. 26.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 3 (c) 8 (d) 7
  27. 27.What comes next? 25, 28, 31, 34, 37, ? (a) 43 (b) 39 (c) 41 (d) 40
  28. 28.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 29 (c) 30 (d) 31
  29. 29.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 24 (b) 25 (c) 16 (d) 15
  30. 30.What comes next? 34, 31, 28, 25, 22, ? (a) 16 (b) 18 (c) 19 (d) 20
  31. 31.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 53 (c) 55 (d) 54
  32. 32.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 42 (c) 43 (d) 50
  33. 33.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 29 (d) 31
  34. 34.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  35. 35.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 21 (d) 22
  36. 36.What comes next? 24, 34, 44, 54, 64, ? (a) 75 (b) 74 (c) 73 (d) 84
  37. 37.What comes next? 13, 20, 19, 26, 25, 32, ? (a) 39 (b) 30 (c) 33 (d) 31
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  39. 39.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 49 (d) 50
  40. 40.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 5 (c) 2 (d) 3

Answer key

  1. 18
  2. 31
  3. 2
  4. 9
  5. 19
  6. 81
  7. 22
  8. 38
  9. 4
  10. 54
  11. 33
  12. 28
  13. 36
  14. 22
  15. 160
  16. 81
  17. 2
  18. 38
  19. 40
  20. 37
  21. 21
  22. 7
  23. 46
  24. 37
  25. 23
  26. 8
  27. 40
  28. 30
  29. 16
  30. 19
  31. 54
  32. 43
  33. 30
  34. 31
  35. 21
  36. 74
  37. 31
  38. 243
  39. 48
  40. 4

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