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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 439 · 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? 42, 39, 36, 33, 30, ? (a) 26 (b) 27 (c) 28 (d) 24
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  3. 3.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 37 (b) 25 (c) 26 (d) 34
  4. 4.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 34 (d) 33
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  6. 6.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 16 (c) 6 (d) 15
  7. 7.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 40 (c) 39 (d) 41
  8. 8.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 5 (b) 14 (c) 15 (d) 6
  9. 9.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 8 (c) 9 (d) 10
  10. 10.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 11 (b) 19 (c) 17 (d) 10
  11. 11.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 6 (c) 3 (d) 5
  12. 12.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 40 (c) 41 (d) 39
  13. 13.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 35 (d) 36
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  17. 17.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 7 (c) 3 (d) 8
  18. 18.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 27 (b) 23 (c) 31 (d) 22
  19. 19.What comes next? 65, 58, 51, 44, 37, ? (a) 30 (b) 31 (c) 23 (d) 29
  20. 20.What comes next? 11, 16, 21, 26, 31, ? (a) 37 (b) 35 (c) 36 (d) 41
  21. 21.What comes next? 14, 19, 15, 20, 16, 21, ? (a) 25 (b) 16 (c) 17 (d) 26
  22. 22.What comes next? 6, 9, 12, 15, 18, ? (a) 20 (b) 22 (c) 21 (d) 24
  23. 23.What comes next? 49, 45, 41, 37, 33, ? (a) 25 (b) 30 (c) 29 (d) 28
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  25. 25.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 27 (b) 34 (c) 39 (d) 28
  26. 26.What comes next? 19, 27, 23, 31, 27, 35, ? (a) 30 (b) 43 (c) 31 (d) 39
  27. 27.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 25 (b) 22 (c) 19 (d) 20
  28. 28.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 24 (c) 21 (d) 22
  29. 29.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 11 (c) 14 (d) 16
  30. 30.What comes next? 18, 23, 28, 33, 38, ? (a) 44 (b) 42 (c) 48 (d) 43
  31. 31.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 21 (d) 22
  32. 32.What comes next? 16, 22, 19, 25, 22, 28, ? (a) 31 (b) 34 (c) 25 (d) 24
  33. 33.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 38 (d) 37
  34. 34.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 14 (c) 19 (d) 20
  35. 35.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 23 (c) 21 (d) 22
  36. 36.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 33 (c) 32 (d) 30
  37. 37.What comes next? 41, 36, 31, 26, 21, ? (a) 17 (b) 11 (c) 16 (d) 15
  38. 38.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 44 (c) 46 (d) 43
  39. 39.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 21 (c) 19 (d) 18
  40. 40.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 18 (b) 17 (c) 20 (d) 22

Answer key

  1. 27
  2. 243
  3. 26
  4. 33
  5. 160
  6. 15
  7. 40
  8. 6
  9. 9
  10. 11
  11. 4
  12. 40
  13. 36
  14. 81
  15. 32
  16. 162
  17. 8
  18. 23
  19. 30
  20. 36
  21. 17
  22. 21
  23. 29
  24. 64
  25. 28
  26. 31
  27. 20
  28. 22
  29. 12
  30. 43
  31. 21
  32. 25
  33. 38
  34. 19
  35. 23
  36. 31
  37. 16
  38. 44
  39. 20
  40. 18

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