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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 275 · 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? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  2. 2.What comes next? 46, 42, 38, 34, 30, ? (a) 27 (b) 26 (c) 25 (d) 22
  3. 3.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 36 (d) 37
  4. 4.What comes next? 37, 30, 23, 16, 9, ? (a) 2 (b) 4 (c) 3 (d) 1
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  6. 6.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 27 (b) 29 (c) 24 (d) 25
  7. 7.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 18 (d) 19
  8. 8.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 18 (c) 22 (d) 24
  9. 9.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 45 (b) 36 (c) 39 (d) 37
  10. 10.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 25 (b) 29 (c) 24 (d) 34
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  12. 12.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 8 (d) 9
  13. 13.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 48 (c) 46 (d) 49
  14. 14.What comes next? 24, 32, 40, 48, 56, ? (a) 63 (b) 64 (c) 65 (d) 72
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  16. 16.What comes next? 17, 26, 22, 31, 27, 36, ? (a) 45 (b) 40 (c) 32 (d) 31
  17. 17.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 37 (d) 35
  18. 18.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  19. 19.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 39 (c) 36 (d) 37
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  21. 21.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 4 (c) 3 (d) 2
  22. 22.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 51 (c) 50 (d) 55
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  24. 24.What comes next? 47, 38, 29, 20, 11, ? (a) 3 (b) 1 (c) 2 (d) 4
  25. 25.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 4 (c) 8 (d) 10
  26. 26.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 24 (b) 14 (c) 22 (d) 13
  27. 27.What comes next? 34, 32, 30, 28, 26, ? (a) 25 (b) 24 (c) 23 (d) 22
  28. 28.What comes next? 12, 15, 18, 21, 24, ? (a) 26 (b) 30 (c) 28 (d) 27
  29. 29.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 80 (c) 81 (d) 82
  30. 30.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 18 (b) 19 (c) 25 (d) 28
  31. 31.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 4 (c) 2 (d) 3
  32. 32.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 3 (c) 4 (d) 1
  33. 33.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 42 (b) 37 (c) 34 (d) 35
  34. 34.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 13 (c) 18 (d) 12
  35. 35.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 8 (b) 9 (c) 23 (d) 21
  36. 36.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 36 (b) 33 (c) 28 (d) 29
  37. 37.What comes next? 64, 56, 48, 40, 32, ? (a) 23 (b) 16 (c) 25 (d) 24
  38. 38.What comes next? 27, 37, 47, 57, 67, ? (a) 87 (b) 78 (c) 77 (d) 76
  39. 39.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 14 (b) 13 (c) 6 (d) 7
  40. 40.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 31 (b) 30 (c) 20 (d) 19

Answer key

  1. 81
  2. 26
  3. 37
  4. 2
  5. 32
  6. 25
  7. 19
  8. 18
  9. 37
  10. 25
  11. 128
  12. 9
  13. 47
  14. 64
  15. 243
  16. 32
  17. 35
  18. 22
  19. 37
  20. 162
  21. 2
  22. 50
  23. 160
  24. 2
  25. 9
  26. 14
  27. 24
  28. 27
  29. 81
  30. 19
  31. 3
  32. 1
  33. 35
  34. 13
  35. 9
  36. 29
  37. 24
  38. 77
  39. 7
  40. 20

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