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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 805 · 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? 25, 30, 35, 40, 45, ? (a) 55 (b) 49 (c) 50 (d) 51
  2. 2.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 8 (c) 10 (d) 7
  3. 3.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 47 (c) 46 (d) 54
  4. 4.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 33 (c) 28 (d) 29
  5. 5.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 16 (b) 11 (c) 18 (d) 12
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  7. 7.What comes next? 48, 43, 38, 33, 28, ? (a) 18 (b) 22 (c) 24 (d) 23
  8. 8.What comes next? 6, 9, 12, 15, 18, ? (a) 20 (b) 24 (c) 22 (d) 21
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  11. 11.What comes next? 10, 22, 34, 46, 58, ? (a) 69 (b) 70 (c) 71 (d) 82
  12. 12.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 2 (c) 3 (d) 4
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  14. 14.What comes next? 52, 44, 36, 28, 20, ? (a) 12 (b) 13 (c) 4 (d) 11
  15. 15.What comes next? 56, 49, 42, 35, 28, ? (a) 22 (b) 20 (c) 14 (d) 21
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  17. 17.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 6 (c) 5 (d) 4
  18. 18.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 35 (c) 36 (d) 34
  19. 19.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 14 (c) 11 (d) 12
  20. 20.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  21. 21.What comes next? 6, 15, 9, 18, 12, 21, ? (a) 27 (b) 14 (c) 15 (d) 30
  22. 22.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 43 (c) 41 (d) 44
  23. 23.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 28 (b) 29 (c) 31 (d) 37
  24. 24.What comes next? 19, 27, 35, 43, 51, ? (a) 59 (b) 58 (c) 67 (d) 60
  25. 25.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 7 (c) 8 (d) 3
  26. 26.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 10 (c) 9 (d) 8
  27. 27.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 55 (c) 54 (d) 53
  28. 28.What comes next? 17, 25, 33, 41, 49, ? (a) 58 (b) 56 (c) 65 (d) 57
  29. 29.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 28 (c) 27 (d) 25
  30. 30.What comes next? 47, 41, 35, 29, 23, ? (a) 17 (b) 11 (c) 18 (d) 16
  31. 31.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 22 (d) 24
  32. 32.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 38 (c) 36 (d) 37
  33. 33.What comes next? 15, 17, 19, 21, 23, ? (a) 25 (b) 26 (c) 27 (d) 24
  34. 34.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 20 (c) 22 (d) 21
  35. 35.What comes next? 37, 35, 33, 31, 29, ? (a) 25 (b) 28 (c) 27 (d) 26
  36. 36.What comes next? 17, 25, 22, 30, 27, 35, ? (a) 31 (b) 38 (c) 32 (d) 43
  37. 37.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 11 (c) 15 (d) 13
  38. 38.What comes next? 12, 14, 16, 18, 20, ? (a) 21 (b) 23 (c) 24 (d) 22
  39. 39.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 2 (c) 5 (d) 4
  40. 40.What comes next? 51, 43, 35, 27, 19, ? (a) 10 (b) 12 (c) 3 (d) 11

Answer key

  1. 50
  2. 9
  3. 46
  4. 29
  5. 12
  6. 162
  7. 23
  8. 21
  9. 64
  10. 81
  11. 70
  12. 3
  13. 128
  14. 12
  15. 21
  16. 243
  17. 5
  18. 34
  19. 13
  20. 160
  21. 15
  22. 42
  23. 29
  24. 59
  25. 8
  26. 9
  27. 54
  28. 57
  29. 26
  30. 17
  31. 22
  32. 36
  33. 25
  34. 21
  35. 27
  36. 32
  37. 11
  38. 22
  39. 3
  40. 11

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