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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 118 · 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? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  2. 2.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 13 (c) 6 (d) 7
  3. 3.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 22 (d) 21
  4. 4.What comes next? 45, 41, 37, 33, 29, ? (a) 26 (b) 25 (c) 21 (d) 24
  5. 5.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 45 (c) 51 (d) 43
  6. 6.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  7. 7.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 42 (c) 43 (d) 40
  8. 8.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 28 (d) 27
  9. 9.What comes next? 19, 28, 37, 46, 55, ? (a) 63 (b) 64 (c) 73 (d) 65
  10. 10.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21
  11. 11.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 24 (c) 29 (d) 25
  12. 12.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 32 (d) 33
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  14. 14.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 59 (c) 57 (d) 58
  15. 15.What comes next? 46, 42, 38, 34, 30, ? (a) 27 (b) 26 (c) 22 (d) 25
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  18. 18.What comes next? 9, 18, 14, 23, 19, 28, ? (a) 37 (b) 23 (c) 24 (d) 32
  19. 19.What comes next? 8, 17, 14, 23, 20, 29, ? (a) 32 (b) 26 (c) 38 (d) 25
  20. 20.What comes next? 13, 11, 9, 7, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  21. 21.What comes next? 20, 29, 38, 47, 56, ? (a) 74 (b) 66 (c) 64 (d) 65
  22. 22.What comes next? 16, 24, 32, 40, 48, ? (a) 56 (b) 57 (c) 64 (d) 55
  23. 23.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 28 (c) 27 (d) 21
  24. 24.What comes next? 11, 14, 18, 23, 29, ? (a) 37 (b) 38 (c) 35 (d) 36
  25. 25.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  26. 26.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 28 (c) 20 (d) 27
  27. 27.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 40 (c) 38 (d) 39
  28. 28.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 30 (b) 27 (c) 25 (d) 24
  29. 29.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 5 (c) 2 (d) 4
  30. 30.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  31. 31.What comes next? 20, 28, 21, 29, 22, 30, ? (a) 37 (b) 38 (c) 22 (d) 23
  32. 32.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 20 (b) 19 (c) 24 (d) 27
  33. 33.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 27 (d) 25
  34. 34.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 31 (b) 30 (c) 33 (d) 37
  35. 35.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 14 (c) 21 (d) 15
  36. 36.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 36 (c) 33 (d) 35
  37. 37.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 27 (c) 25 (d) 28
  38. 38.What comes next? 10, 18, 14, 22, 18, 26, ? (a) 22 (b) 30 (c) 34 (d) 21
  39. 39.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 44 (c) 43 (d) 45
  40. 40.What comes next? 27, 22, 17, 12, 7, ? (a) 2 (b) 4 (c) 3 (d) 1

Answer key

  1. 243
  2. 7
  3. 21
  4. 25
  5. 44
  6. 128
  7. 41
  8. 28
  9. 64
  10. 21
  11. 25
  12. 33
  13. 32
  14. 58
  15. 26
  16. 64
  17. 81
  18. 24
  19. 26
  20. 3
  21. 65
  22. 56
  23. 27
  24. 36
  25. 162
  26. 27
  27. 38
  28. 25
  29. 3
  30. 20
  31. 23
  32. 20
  33. 25
  34. 31
  35. 15
  36. 34
  37. 26
  38. 22
  39. 43
  40. 2

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