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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 138 · 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, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  3. 3.What comes next? 3, 11, 19, 27, 35, ? (a) 42 (b) 51 (c) 44 (d) 43
  4. 4.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 51 (c) 50 (d) 58
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  6. 6.What comes next? 11, 15, 19, 23, 27, ? (a) 35 (b) 30 (c) 32 (d) 31
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 240 (d) 193
  8. 8.What comes next? 60, 52, 44, 36, 28, ? (a) 12 (b) 20 (c) 19 (d) 21
  9. 9.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 43 (c) 40 (d) 42
  10. 10.What comes next? 15, 23, 19, 27, 23, 31, ? (a) 27 (b) 39 (c) 26 (d) 35
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  12. 12.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 29 (b) 16 (c) 25 (d) 17
  13. 13.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 3 (c) 4 (d) 6
  14. 14.What comes next? 26, 38, 50, 62, 74, ? (a) 98 (b) 86 (c) 85 (d) 87
  15. 15.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 16 (b) 17 (c) 7 (d) 8
  16. 16.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 28 (b) 24 (c) 18 (d) 17
  17. 17.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 37 (d) 38
  18. 18.What comes next? 7, 14, 21, 28, 35, ? (a) 42 (b) 41 (c) 43 (d) 49
  19. 19.What comes next? 30, 42, 54, 66, 78, ? (a) 102 (b) 90 (c) 89 (d) 91
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  21. 21.What comes next? 39, 37, 35, 33, 31, ? (a) 29 (b) 27 (c) 30 (d) 28
  22. 22.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 15 (c) 14 (d) 16
  23. 23.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 21 (c) 22 (d) 20
  24. 24.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 23 (c) 22 (d) 14
  25. 25.What comes next? 20, 18, 16, 14, 12, ? (a) 11 (b) 10 (c) 9 (d) 8
  26. 26.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  27. 27.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 32 (c) 37 (d) 31
  28. 28.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 24 (b) 26 (c) 33 (d) 23
  29. 29.What comes next? 5, 14, 10, 19, 15, 24, ? (a) 19 (b) 33 (c) 28 (d) 20
  30. 30.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 9 (d) 8
  31. 31.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 3 (c) 1 (d) 4
  32. 32.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 23 (d) 25
  33. 33.What comes next? 38, 32, 26, 20, 14, ? (a) 8 (b) 9 (c) 7 (d) 2
  34. 34.What comes next? 4, 13, 9, 18, 14, 23, ? (a) 19 (b) 18 (c) 32 (d) 27
  35. 35.What comes next? 62, 54, 46, 38, 30, ? (a) 14 (b) 23 (c) 21 (d) 22
  36. 36.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 23 (b) 30 (c) 35 (d) 24
  37. 37.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 28 (c) 29 (d) 26
  38. 38.What comes next? 4, 9, 14, 19, 24, ? (a) 28 (b) 34 (c) 29 (d) 30
  39. 39.What comes next? 55, 48, 41, 34, 27, ? (a) 13 (b) 21 (c) 19 (d) 20
  40. 40.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 45 (c) 43 (d) 44

Answer key

  1. 32
  2. 128
  3. 43
  4. 50
  5. 243
  6. 31
  7. 192
  8. 20
  9. 41
  10. 27
  11. 81
  12. 17
  13. 4
  14. 86
  15. 8
  16. 18
  17. 38
  18. 42
  19. 90
  20. 162
  21. 29
  22. 15
  23. 21
  24. 23
  25. 10
  26. 17
  27. 32
  28. 24
  29. 20
  30. 9
  31. 2
  32. 23
  33. 8
  34. 19
  35. 22
  36. 24
  37. 27
  38. 29
  39. 20
  40. 43

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