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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 33 · 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? 7, 12, 17, 22, 27, ? (a) 33 (b) 32 (c) 31 (d) 37
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  4. 4.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 24 (c) 30 (d) 29
  5. 5.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  6. 6.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 27 (d) 26
  7. 7.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 38 (c) 40 (d) 37
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  10. 10.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 28 (c) 31 (d) 30
  11. 11.What comes next? 60, 54, 48, 42, 36, ? (a) 31 (b) 29 (c) 30 (d) 24
  12. 12.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 4 (c) 8 (d) 9
  13. 13.What comes next? 28, 32, 36, 40, 44, ? (a) 47 (b) 48 (c) 49 (d) 52
  14. 14.What comes next? 3, 12, 21, 30, 39, ? (a) 49 (b) 48 (c) 57 (d) 47
  15. 15.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 40 (c) 41 (d) 39
  16. 16.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 42 (c) 45 (d) 43
  17. 17.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 17 (d) 16
  18. 18.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 13 (c) 15 (d) 16
  19. 19.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 23 (c) 25 (d) 26
  20. 20.What comes next? 9, 18, 11, 20, 13, 22, ? (a) 29 (b) 14 (c) 31 (d) 15
  21. 21.What comes next? 34, 32, 30, 28, 26, ? (a) 25 (b) 24 (c) 23 (d) 22
  22. 22.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 30 (c) 26 (d) 24
  23. 23.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  24. 24.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 33 (d) 31
  25. 25.What comes next? 4, 11, 6, 13, 8, 15, ? (a) 9 (b) 22 (c) 20 (d) 10
  26. 26.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 5 (c) 7 (d) 6
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  28. 28.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22
  29. 29.What comes next? 24, 28, 32, 36, 40, ? (a) 43 (b) 48 (c) 45 (d) 44
  30. 30.What comes next? 19, 21, 23, 25, 27, ? (a) 30 (b) 31 (c) 29 (d) 28
  31. 31.What comes next? 8, 16, 11, 19, 14, 22, ? (a) 16 (b) 17 (c) 30 (d) 27
  32. 32.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 60 (c) 61 (d) 71
  33. 33.What comes next? 2, 11, 20, 29, 38, ? (a) 47 (b) 48 (c) 46 (d) 56
  34. 34.What comes next? 14, 22, 16, 24, 18, 26, ? (a) 32 (b) 34 (c) 19 (d) 20
  35. 35.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 12 (c) 14 (d) 13
  36. 36.What comes next? 20, 25, 24, 29, 28, 33, ? (a) 32 (b) 31 (c) 38 (d) 34
  37. 37.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 4 (c) 3 (d) 2
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  39. 39.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 35 (d) 37
  40. 40.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 11 (c) 8 (d) 12

Answer key

  1. 32
  2. 64
  3. 81
  4. 29
  5. 28
  6. 26
  7. 38
  8. 243
  9. 32
  10. 29
  11. 30
  12. 9
  13. 48
  14. 48
  15. 40
  16. 43
  17. 16
  18. 15
  19. 24
  20. 15
  21. 24
  22. 24
  23. 128
  24. 31
  25. 10
  26. 5
  27. 162
  28. 20
  29. 44
  30. 29
  31. 17
  32. 60
  33. 47
  34. 20
  35. 14
  36. 32
  37. 3
  38. 160
  39. 35
  40. 12

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