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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 798 · 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? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 27 (d) 24
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  4. 4.What comes next? 24, 34, 44, 54, 64, ? (a) 84 (b) 75 (c) 73 (d) 74
  5. 5.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 36 (c) 35 (d) 38
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  7. 7.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 9 (d) 13
  8. 8.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 30 (c) 28 (d) 31
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  10. 10.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 9 (c) 10 (d) 14
  11. 11.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 18 (b) 7 (c) 19 (d) 8
  12. 12.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 36 (d) 37
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  14. 14.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 28 (c) 29 (d) 26
  15. 15.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 16 (b) 15 (c) 21 (d) 18
  16. 16.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 10 (b) 9 (c) 15 (d) 14
  17. 17.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 14 (b) 11 (c) 12 (d) 16
  18. 18.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 36 (c) 38 (d) 37
  19. 19.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 59 (c) 58 (d) 67
  20. 20.What comes next? 20, 17, 14, 11, 8, ? (a) 6 (b) 5 (c) 2 (d) 4
  21. 21.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 4 (c) 3 (d) 6
  22. 22.What comes next? 14, 21, 28, 35, 42, ? (a) 48 (b) 49 (c) 50 (d) 56
  23. 23.What comes next? 53, 45, 37, 29, 21, ? (a) 12 (b) 14 (c) 13 (d) 5
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  25. 25.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 21 (c) 23 (d) 20
  26. 26.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 18 (b) 11 (c) 20 (d) 12
  27. 27.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 32 (b) 30 (c) 40 (d) 29
  28. 28.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 6 (d) 7
  29. 29.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 19 (d) 20
  30. 30.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  31. 31.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 1 (c) 2 (d) 4
  32. 32.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 22 (c) 24 (d) 25
  33. 33.What comes next? 21, 24, 27, 30, 33, ? (a) 37 (b) 36 (c) 39 (d) 35
  34. 34.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 21 (c) 23 (d) 22
  35. 35.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 42 (d) 41
  36. 36.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 58 (c) 59 (d) 66
  37. 37.What comes next? 60, 54, 48, 42, 36, ? (a) 29 (b) 24 (c) 30 (d) 31
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 120 (d) 200
  39. 39.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 33 (d) 34
  40. 40.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 34 (c) 36 (d) 35

Answer key

  1. 25
  2. 64
  3. 162
  4. 74
  5. 36
  6. 32
  7. 9
  8. 29
  9. 81
  10. 10
  11. 8
  12. 36
  13. 96
  14. 27
  15. 16
  16. 10
  17. 12
  18. 36
  19. 59
  20. 5
  21. 4
  22. 49
  23. 13
  24. 243
  25. 21
  26. 12
  27. 30
  28. 6
  29. 18
  30. 26
  31. 2
  32. 23
  33. 36
  34. 22
  35. 41
  36. 59
  37. 30
  38. 160
  39. 32
  40. 35

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