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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 741 · 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? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  2. 2.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 28 (c) 30 (d) 29
  3. 3.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 4 (d) 5
  4. 4.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 34 (c) 36 (d) 33
  5. 5.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 16 (d) 15
  6. 6.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 16 (c) 14 (d) 15
  7. 7.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 31 (d) 33
  8. 8.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 29 (c) 24 (d) 30
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  10. 10.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 13 (c) 16 (d) 15
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  12. 12.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 42 (c) 40 (d) 39
  13. 13.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  14. 14.What comes next? 8, 18, 28, 38, 48, ? (a) 68 (b) 57 (c) 59 (d) 58
  15. 15.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 18 (b) 17 (c) 22 (d) 24
  16. 16.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 21 (c) 22 (d) 20
  17. 17.What comes next? 3, 12, 5, 14, 7, 16, ? (a) 23 (b) 8 (c) 9 (d) 25
  18. 18.What comes next? 11, 13, 15, 17, 19, ? (a) 22 (b) 23 (c) 20 (d) 21
  19. 19.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 40 (c) 39 (d) 46
  20. 20.What comes next? 74, 65, 56, 47, 38, ? (a) 30 (b) 28 (c) 20 (d) 29
  21. 21.What comes next? 37, 35, 33, 31, 29, ? (a) 26 (b) 27 (c) 28 (d) 25
  22. 22.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 12 (b) 4 (c) 13 (d) 3
  23. 23.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 63 (c) 61 (d) 62
  24. 24.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 30 (d) 28
  25. 25.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 11 (d) 9
  26. 26.What comes next? 13, 17, 21, 25, 29, ? (a) 34 (b) 33 (c) 32 (d) 37
  27. 27.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 47 (d) 46
  28. 28.What comes next? 67, 59, 51, 43, 35, ? (a) 26 (b) 28 (c) 19 (d) 27
  29. 29.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 27 (c) 25 (d) 28
  30. 30.What comes next? 16, 23, 17, 24, 18, 25, ? (a) 31 (b) 19 (c) 32 (d) 18
  31. 31.What comes next? 9, 16, 11, 18, 13, 20, ? (a) 14 (b) 25 (c) 27 (d) 15
  32. 32.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 25 (b) 22 (c) 19 (d) 20
  33. 33.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 8 (c) 7 (d) 9
  34. 34.What comes next? 41, 36, 31, 26, 21, ? (a) 15 (b) 17 (c) 11 (d) 16
  35. 35.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 16 (b) 14 (c) 19 (d) 13
  36. 36.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 17 (b) 29 (c) 25 (d) 16
  37. 37.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 6 (c) 5 (d) 4
  38. 38.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 42 (c) 41 (d) 39
  39. 39.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 25 (c) 27 (d) 26
  40. 40.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24

Answer key

  1. 162
  2. 30
  3. 5
  4. 34
  5. 16
  6. 15
  7. 31
  8. 29
  9. 243
  10. 16
  11. 64
  12. 40
  13. 160
  14. 58
  15. 18
  16. 21
  17. 9
  18. 21
  19. 39
  20. 29
  21. 27
  22. 4
  23. 62
  24. 28
  25. 9
  26. 33
  27. 46
  28. 27
  29. 26
  30. 19
  31. 15
  32. 20
  33. 7
  34. 16
  35. 14
  36. 17
  37. 5
  38. 40
  39. 25
  40. 32

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