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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 331 · 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? 4, 16, 28, 40, 52, ? (a) 64 (b) 63 (c) 76 (d) 65
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  3. 3.What comes next? 8, 16, 24, 32, 40, ? (a) 56 (b) 49 (c) 48 (d) 47
  4. 4.What comes next? 14, 23, 22, 31, 30, 39, ? (a) 48 (b) 40 (c) 37 (d) 38
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  6. 6.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 21 (b) 23 (c) 16 (d) 17
  7. 7.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 20 (b) 14 (c) 18 (d) 13
  8. 8.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 7 (b) 18 (c) 20 (d) 8
  9. 9.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 42 (b) 34 (c) 31 (d) 32
  10. 10.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 34 (c) 33 (d) 31
  11. 11.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 13 (d) 9
  12. 12.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 17 (b) 8 (c) 15 (d) 9
  13. 13.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 24 (c) 20 (d) 25
  14. 14.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 21 (d) 20
  15. 15.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  16. 16.What comes next? 2, 11, 10, 19, 18, 27, ? (a) 36 (b) 28 (c) 25 (d) 26
  17. 17.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 14 (c) 16 (d) 15
  18. 18.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 28 (c) 27 (d) 18
  19. 19.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 24 (d) 25
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  21. 21.What comes next? 18, 25, 23, 30, 28, 35, ? (a) 32 (b) 37 (c) 33 (d) 42
  22. 22.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 27 (d) 28
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  24. 24.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 8 (c) 9 (d) 7
  25. 25.What comes next? 16, 13, 10, 7, 4, ? (a) 3 (b) 4 (c) 2 (d) 1
  26. 26.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 4 (b) 9 (c) 5 (d) 10
  27. 27.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 3 (c) 2 (d) 1
  28. 28.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 26 (d) 28
  29. 29.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 42 (c) 45 (d) 43
  30. 30.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  31. 31.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 3 (c) 1 (d) 4
  32. 32.What comes next? 34, 32, 30, 28, 26, ? (a) 23 (b) 25 (c) 24 (d) 22
  33. 33.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 18 (d) 19
  34. 34.What comes next? 23, 32, 41, 50, 59, ? (a) 67 (b) 69 (c) 77 (d) 68
  35. 35.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 24 (b) 31 (c) 25 (d) 36
  36. 36.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 23 (b) 21 (c) 13 (d) 12
  37. 37.What comes next? 34, 30, 26, 22, 18, ? (a) 13 (b) 10 (c) 14 (d) 15
  38. 38.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 19 (d) 18
  39. 39.What comes next? 22, 27, 32, 37, 42, ? (a) 48 (b) 46 (c) 47 (d) 52
  40. 40.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 38 (c) 39 (d) 36

Answer key

  1. 64
  2. 32
  3. 48
  4. 38
  5. 243
  6. 17
  7. 14
  8. 8
  9. 32
  10. 32
  11. 9
  12. 9
  13. 20
  14. 21
  15. 64
  16. 26
  17. 16
  18. 27
  19. 24
  20. 192
  21. 33
  22. 28
  23. 81
  24. 8
  25. 1
  26. 5
  27. 3
  28. 26
  29. 43
  30. 162
  31. 1
  32. 24
  33. 19
  34. 68
  35. 25
  36. 13
  37. 14
  38. 19
  39. 47
  40. 37

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