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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 660 · 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? 6, 8, 10, 12, 14, ? (a) 17 (b) 18 (c) 16 (d) 15
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  3. 3.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 26 (b) 37 (c) 25 (d) 34
  4. 4.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 33 (c) 35 (d) 34
  5. 5.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 32 (c) 33 (d) 35
  6. 6.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 23 (c) 26 (d) 24
  7. 7.What comes next? 42, 36, 30, 24, 18, ? (a) 6 (b) 11 (c) 13 (d) 12
  8. 8.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 27 (b) 29 (c) 33 (d) 26
  9. 9.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 23 (b) 29 (c) 24 (d) 26
  10. 10.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 23 (c) 26 (d) 25
  11. 11.What comes next? 11, 13, 15, 17, 19, ? (a) 21 (b) 23 (c) 22 (d) 20
  12. 12.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 4 (c) 3 (d) 6
  13. 13.What comes next? 64, 55, 46, 37, 28, ? (a) 10 (b) 18 (c) 20 (d) 19
  14. 14.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 44 (c) 46 (d) 43
  15. 15.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 30 (b) 24 (c) 27 (d) 25
  16. 16.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 40 (c) 39 (d) 38
  17. 17.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 15 (c) 14 (d) 16
  18. 18.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 21 (c) 22 (d) 17
  19. 19.What comes next? 30, 36, 42, 48, 54, ? (a) 60 (b) 66 (c) 59 (d) 61
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  22. 22.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 42 (d) 43
  23. 23.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 7 (c) 6 (d) 8
  24. 24.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 23 (c) 25 (d) 22
  25. 25.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  26. 26.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 38 (c) 35 (d) 37
  27. 27.What comes next? 19, 26, 24, 31, 29, 36, ? (a) 43 (b) 33 (c) 34 (d) 38
  28. 28.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 4 (b) 21 (c) 22 (d) 5
  29. 29.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 11 (c) 8 (d) 9
  30. 30.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 23 (c) 24 (d) 17
  31. 31.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 18 (c) 20 (d) 19
  32. 32.What comes next? 5, 13, 10, 18, 15, 23, ? (a) 26 (b) 20 (c) 19 (d) 31
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  34. 34.What comes next? 10, 14, 18, 22, 26, ? (a) 30 (b) 29 (c) 34 (d) 31
  35. 35.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 74 (d) 75
  36. 36.What comes next? 29, 26, 23, 20, 17, ? (a) 14 (b) 15 (c) 11 (d) 13
  37. 37.What comes next? 23, 27, 31, 35, 39, ? (a) 44 (b) 47 (c) 43 (d) 42
  38. 38.What comes next? 16, 21, 26, 31, 36, ? (a) 42 (b) 41 (c) 46 (d) 40
  39. 39.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 3 (c) 12 (d) 13
  40. 40.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 20 (b) 30 (c) 29 (d) 21

Answer key

  1. 16
  2. 162
  3. 26
  4. 34
  5. 33
  6. 25
  7. 12
  8. 27
  9. 24
  10. 24
  11. 21
  12. 4
  13. 19
  14. 43
  15. 25
  16. 38
  17. 15
  18. 21
  19. 60
  20. 192
  21. 96
  22. 41
  23. 7
  24. 23
  25. 16
  26. 36
  27. 34
  28. 5
  29. 9
  30. 23
  31. 19
  32. 20
  33. 81
  34. 30
  35. 75
  36. 14
  37. 43
  38. 41
  39. 12
  40. 21

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