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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 41 · 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? 55, 49, 43, 37, 31, ? (a) 25 (b) 26 (c) 24 (d) 19
  2. 2.What comes next? 57, 48, 39, 30, 21, ? (a) 12 (b) 3 (c) 13 (d) 11
  3. 3.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 45 (c) 49 (d) 46
  4. 4.What comes next? 34, 29, 24, 19, 14, ? (a) 4 (b) 10 (c) 8 (d) 9
  5. 5.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 22 (b) 16 (c) 18 (d) 15
  6. 6.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 11 (c) 14 (d) 16
  7. 7.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 7 (c) 12 (d) 10
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  9. 9.What comes next? 4, 13, 22, 31, 40, ? (a) 48 (b) 50 (c) 58 (d) 49
  10. 10.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 38 (c) 40 (d) 39
  11. 11.What comes next? 15, 21, 18, 24, 21, 27, ? (a) 23 (b) 24 (c) 33 (d) 30
  12. 12.What comes next? 52, 45, 38, 31, 24, ? (a) 10 (b) 18 (c) 16 (d) 17
  13. 13.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 40 (c) 39 (d) 38
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  15. 15.What comes next? 24, 28, 32, 36, 40, ? (a) 48 (b) 43 (c) 45 (d) 44
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  17. 17.What comes next? 17, 26, 19, 28, 21, 30, ? (a) 23 (b) 22 (c) 39 (d) 37
  18. 18.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 38 (c) 36 (d) 39
  19. 19.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 1 (c) 4 (d) 3
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  21. 21.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 5 (c) 10 (d) 11
  22. 22.What comes next? 22, 25, 28, 31, 34, ? (a) 36 (b) 40 (c) 38 (d) 37
  23. 23.What comes next? 37, 32, 27, 22, 17, ? (a) 12 (b) 13 (c) 11 (d) 7
  24. 24.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 35 (b) 33 (c) 23 (d) 22
  25. 25.What comes next? 50, 45, 40, 35, 30, ? (a) 25 (b) 20 (c) 26 (d) 24
  26. 26.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 34 (d) 32
  27. 27.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 36 (c) 35 (d) 34
  28. 28.What comes next? 16, 25, 17, 26, 18, 27, ? (a) 36 (b) 35 (c) 19 (d) 18
  29. 29.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 23 (b) 25 (c) 22 (d) 27
  30. 30.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 3 (c) 5 (d) 4
  31. 31.What comes next? 55, 48, 41, 34, 27, ? (a) 19 (b) 21 (c) 20 (d) 13
  32. 32.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  33. 33.What comes next? 14, 18, 22, 26, 30, ? (a) 38 (b) 35 (c) 33 (d) 34
  34. 34.What comes next? 4, 11, 18, 25, 32, ? (a) 39 (b) 46 (c) 40 (d) 38
  35. 35.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 34 (d) 32
  36. 36.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 22 (b) 20 (c) 19 (d) 25
  37. 37.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 41 (c) 39 (d) 40
  38. 38.What comes next? 4, 10, 5, 11, 6, 12, ? (a) 17 (b) 7 (c) 6 (d) 18
  39. 39.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  40. 40.What comes next? 3, 14, 25, 36, 47, ? (a) 59 (b) 58 (c) 69 (d) 57

Answer key

  1. 25
  2. 12
  3. 45
  4. 9
  5. 16
  6. 15
  7. 8
  8. 162
  9. 49
  10. 39
  11. 24
  12. 17
  13. 38
  14. 192
  15. 44
  16. 64
  17. 23
  18. 37
  19. 1
  20. 243
  21. 11
  22. 37
  23. 12
  24. 23
  25. 25
  26. 32
  27. 35
  28. 19
  29. 23
  30. 4
  31. 20
  32. 26
  33. 34
  34. 39
  35. 33
  36. 20
  37. 40
  38. 7
  39. 81
  40. 58

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