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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 128 · 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, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  4. 4.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 14 (b) 20 (c) 16 (d) 13
  5. 5.What comes next? 5, 12, 19, 26, 33, ? (a) 47 (b) 39 (c) 41 (d) 40
  6. 6.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 38 (c) 36 (d) 37
  7. 7.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 5 (d) 8
  8. 8.What comes next? 9, 18, 14, 23, 19, 28, ? (a) 23 (b) 24 (c) 32 (d) 37
  9. 9.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 66 (c) 59 (d) 58
  10. 10.What comes next? 44, 38, 32, 26, 20, ? (a) 14 (b) 15 (c) 13 (d) 8
  11. 11.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 8 (c) 11 (d) 13
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  13. 13.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 41 (c) 42 (d) 40
  14. 14.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 7 (c) 9 (d) 10
  15. 15.What comes next? 12, 18, 24, 30, 36, ? (a) 41 (b) 42 (c) 48 (d) 43
  16. 16.What comes next? 13, 20, 27, 34, 41, ? (a) 48 (b) 55 (c) 47 (d) 49
  17. 17.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  18. 18.What comes next? 14, 22, 20, 28, 26, 34, ? (a) 36 (b) 32 (c) 31 (d) 42
  19. 19.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 44 (d) 43
  20. 20.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 23 (d) 19
  21. 21.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 2 (d) 1
  22. 22.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 23 (b) 24 (c) 31 (d) 28
  23. 23.What comes next? 43, 35, 27, 19, 11, ? (a) 4 (b) 5 (c) 2 (d) 3
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  25. 25.What comes next? 19, 24, 29, 34, 39, ? (a) 45 (b) 44 (c) 49 (d) 43
  26. 26.What comes next? 24, 22, 20, 18, 16, ? (a) 14 (b) 13 (c) 12 (d) 15
  27. 27.What comes next? 45, 40, 35, 30, 25, ? (a) 19 (b) 21 (c) 20 (d) 15
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  29. 29.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 14 (c) 17 (d) 15
  30. 30.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 20 (b) 13 (c) 19 (d) 12
  31. 31.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 23 (c) 26 (d) 24
  32. 32.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 31 (d) 32
  33. 33.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 16 (d) 17
  34. 34.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 15 (b) 16 (c) 18 (d) 20
  35. 35.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 18 (d) 20
  36. 36.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 28 (c) 27 (d) 26
  37. 37.What comes next? 70, 61, 52, 43, 34, ? (a) 25 (b) 16 (c) 24 (d) 26
  38. 38.What comes next? 60, 54, 48, 42, 36, ? (a) 31 (b) 29 (c) 24 (d) 30
  39. 39.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 35 (c) 37 (d) 38
  40. 40.What comes next? 8, 15, 22, 29, 36, ? (a) 42 (b) 43 (c) 44 (d) 50

Answer key

  1. 243
  2. 32
  3. 128
  4. 14
  5. 40
  6. 36
  7. 6
  8. 24
  9. 59
  10. 14
  11. 12
  12. 192
  13. 40
  14. 9
  15. 42
  16. 48
  17. 1
  18. 32
  19. 43
  20. 22
  21. 1
  22. 24
  23. 3
  24. 81
  25. 44
  26. 14
  27. 20
  28. 64
  29. 15
  30. 13
  31. 24
  32. 32
  33. 17
  34. 16
  35. 19
  36. 27
  37. 25
  38. 30
  39. 36
  40. 43

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