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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 486 · 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? 5, 14, 6, 15, 7, 16, ? (a) 8 (b) 24 (c) 25 (d) 7
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  5. 5.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 20 (b) 16 (c) 15 (d) 18
  6. 6.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 8 (b) 14 (c) 9 (d) 13
  7. 7.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 9 (d) 8
  8. 8.What comes next? 28, 32, 36, 40, 44, ? (a) 47 (b) 49 (c) 48 (d) 52
  9. 9.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 38 (c) 39 (d) 37
  10. 10.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 34 (c) 32 (d) 31
  11. 11.What comes next? 28, 25, 22, 19, 16, ? (a) 10 (b) 13 (c) 14 (d) 12
  12. 12.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 11 (b) 13 (c) 10 (d) 15
  13. 13.What comes next? 58, 52, 46, 40, 34, ? (a) 22 (b) 28 (c) 27 (d) 29
  14. 14.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 43 (c) 50 (d) 42
  15. 15.What comes next? 4, 12, 11, 19, 18, 26, ? (a) 25 (b) 27 (c) 34 (d) 24
  16. 16.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 36 (d) 33
  17. 17.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 36 (d) 33
  18. 18.What comes next? 11, 20, 29, 38, 47, ? (a) 56 (b) 55 (c) 65 (d) 57
  19. 19.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 19 (b) 23 (c) 12 (d) 13
  20. 20.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 41 (c) 40 (d) 38
  21. 21.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 18 (d) 20
  22. 22.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 40 (d) 41
  23. 23.What comes next? 45, 42, 39, 36, 33, ? (a) 27 (b) 31 (c) 30 (d) 29
  24. 24.What comes next? 20, 22, 25, 29, 34, ? (a) 40 (b) 41 (c) 39 (d) 42
  25. 25.What comes next? 3, 11, 19, 27, 35, ? (a) 43 (b) 44 (c) 51 (d) 42
  26. 26.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 17 (c) 22 (d) 21
  27. 27.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 53 (c) 54 (d) 59
  28. 28.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 5 (c) 3 (d) 4
  29. 29.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 6 (c) 3 (d) 5
  30. 30.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 25 (c) 27 (d) 26
  31. 31.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 27 (c) 26 (d) 25
  32. 32.What comes next? 35, 31, 27, 23, 19, ? (a) 16 (b) 14 (c) 11 (d) 15
  33. 33.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 10 (b) 8 (c) 12 (d) 7
  34. 34.What comes next? 24, 28, 32, 36, 40, ? (a) 48 (b) 43 (c) 44 (d) 45
  35. 35.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 9 (c) 8 (d) 10
  36. 36.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 7 (d) 6
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  39. 39.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 46 (c) 43 (d) 45
  40. 40.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 46 (c) 44 (d) 45

Answer key

  1. 8
  2. 64
  3. 81
  4. 162
  5. 16
  6. 9
  7. 9
  8. 48
  9. 38
  10. 32
  11. 13
  12. 11
  13. 28
  14. 43
  15. 25
  16. 34
  17. 34
  18. 56
  19. 13
  20. 39
  21. 18
  22. 40
  23. 30
  24. 40
  25. 43
  26. 17
  27. 54
  28. 5
  29. 4
  30. 25
  31. 26
  32. 15
  33. 8
  34. 44
  35. 8
  36. 6
  37. 243
  38. 32
  39. 44
  40. 45

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