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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 121 · 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, 9, 13, 18, 24, ? (a) 31 (b) 32 (c) 30 (d) 33
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  4. 4.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 7 (c) 10 (d) 12
  5. 5.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 26 (c) 27 (d) 28
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  7. 7.What comes next? 43, 36, 29, 22, 15, ? (a) 8 (b) 7 (c) 1 (d) 9
  8. 8.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 45 (c) 47 (d) 46
  9. 9.What comes next? 3, 9, 15, 21, 27, ? (a) 39 (b) 34 (c) 32 (d) 33
  10. 10.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 27 (c) 28 (d) 29
  11. 11.What comes next? 31, 28, 25, 22, 19, ? (a) 15 (b) 16 (c) 13 (d) 17
  12. 12.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 3 (c) 5 (d) 4
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  14. 14.What comes next? 29, 25, 21, 17, 13, ? (a) 10 (b) 9 (c) 5 (d) 8
  15. 15.What comes next? 16, 23, 20, 27, 24, 31, ? (a) 27 (b) 28 (c) 38 (d) 34
  16. 16.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 21 (d) 19
  17. 17.What comes next? 28, 40, 52, 64, 76, ? (a) 89 (b) 100 (c) 88 (d) 87
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  19. 19.What comes next? 53, 46, 39, 32, 25, ? (a) 18 (b) 19 (c) 17 (d) 11
  20. 20.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 44 (c) 43 (d) 42
  21. 21.What comes next? 19, 28, 23, 32, 27, 36, ? (a) 31 (b) 41 (c) 45 (d) 30
  22. 22.What comes next? 37, 35, 33, 31, 29, ? (a) 26 (b) 25 (c) 28 (d) 27
  23. 23.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 59 (c) 58 (d) 60
  24. 24.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  25. 25.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36
  26. 26.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 22 (c) 21 (d) 23
  27. 27.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 5 (c) 6 (d) 4
  28. 28.What comes next? 7, 16, 10, 19, 13, 22, ? (a) 15 (b) 28 (c) 16 (d) 31
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  30. 30.What comes next? 13, 17, 21, 25, 29, ? (a) 37 (b) 32 (c) 33 (d) 34
  31. 31.What comes next? 53, 47, 41, 35, 29, ? (a) 23 (b) 22 (c) 24 (d) 17
  32. 32.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 15 (c) 17 (d) 13
  33. 33.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 35 (d) 36
  34. 34.What comes next? 48, 44, 40, 36, 32, ? (a) 29 (b) 27 (c) 28 (d) 24
  35. 35.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 37 (d) 39
  36. 36.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 22 (b) 18 (c) 13 (d) 14
  37. 37.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 34 (c) 35 (d) 36
  38. 38.What comes next? 49, 45, 41, 37, 33, ? (a) 25 (b) 28 (c) 30 (d) 29
  39. 39.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 9 (c) 4 (d) 10
  40. 40.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 18 (c) 23 (d) 21

Answer key

  1. 31
  2. 192
  3. 64
  4. 8
  5. 27
  6. 162
  7. 8
  8. 46
  9. 33
  10. 28
  11. 16
  12. 3
  13. 128
  14. 9
  15. 28
  16. 20
  17. 88
  18. 32
  19. 18
  20. 43
  21. 31
  22. 27
  23. 59
  24. 160
  25. 34
  26. 22
  27. 5
  28. 16
  29. 243
  30. 33
  31. 23
  32. 13
  33. 35
  34. 28
  35. 37
  36. 14
  37. 34
  38. 29
  39. 5
  40. 19

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