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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 918 · 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, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  3. 3.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 4 (c) 5 (d) 6
  4. 4.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 11 (b) 16 (c) 12 (d) 14
  5. 5.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 37 (c) 40 (d) 39
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  7. 7.What comes next? 30, 40, 50, 60, 70, ? (a) 80 (b) 79 (c) 90 (d) 81
  8. 8.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 7 (b) 8 (c) 16 (d) 17
  9. 9.What comes next? 14, 16, 18, 20, 22, ? (a) 23 (b) 26 (c) 25 (d) 24
  10. 10.What comes next? 30, 36, 42, 48, 54, ? (a) 60 (b) 61 (c) 66 (d) 59
  11. 11.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 25 (b) 24 (c) 12 (d) 11
  12. 12.What comes next? 64, 56, 48, 40, 32, ? (a) 24 (b) 25 (c) 23 (d) 16
  13. 13.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 22 (b) 16 (c) 19 (d) 17
  14. 14.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 61 (c) 60 (d) 62
  15. 15.What comes next? 13, 18, 23, 28, 33, ? (a) 43 (b) 39 (c) 38 (d) 37
  16. 16.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 10 (c) 9 (d) 4
  17. 17.What comes next? 19, 27, 20, 28, 21, 29, ? (a) 36 (b) 22 (c) 21 (d) 37
  18. 18.What comes next? 29, 39, 49, 59, 69, ? (a) 79 (b) 80 (c) 78 (d) 89
  19. 19.What comes next? 11, 14, 17, 20, 23, ? (a) 27 (b) 29 (c) 26 (d) 25
  20. 20.What comes next? 14, 20, 17, 23, 20, 26, ? (a) 23 (b) 32 (c) 22 (d) 29
  21. 21.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 51 (c) 59 (d) 50
  22. 22.What comes next? 28, 38, 48, 58, 68, ? (a) 88 (b) 77 (c) 79 (d) 78
  23. 23.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  24. 24.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 23 (b) 24 (c) 26 (d) 31
  25. 25.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 2 (c) 1 (d) 3
  26. 26.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 61 (c) 62 (d) 63
  27. 27.What comes next? 29, 25, 21, 17, 13, ? (a) 9 (b) 10 (c) 5 (d) 8
  28. 28.What comes next? 50, 43, 36, 29, 22, ? (a) 14 (b) 16 (c) 8 (d) 15
  29. 29.What comes next? 15, 24, 23, 32, 31, 40, ? (a) 41 (b) 49 (c) 39 (d) 38
  30. 30.What comes next? 18, 25, 24, 31, 30, 37, ? (a) 44 (b) 38 (c) 35 (d) 36
  31. 31.What comes next? 17, 29, 41, 53, 65, ? (a) 77 (b) 76 (c) 78 (d) 89
  32. 32.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 23 (c) 21 (d) 22
  33. 33.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 23 (c) 24 (d) 26
  34. 34.What comes next? 18, 22, 26, 30, 34, ? (a) 37 (b) 39 (c) 38 (d) 42
  35. 35.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 9 (b) 8 (c) 17 (d) 18
  36. 36.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 23 (b) 28 (c) 27 (d) 22
  37. 37.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 3 (d) 7
  38. 38.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 5 (c) 6 (d) 4
  39. 39.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 13 (c) 12 (d) 11
  40. 40.What comes next? 55, 48, 41, 34, 27, ? (a) 21 (b) 19 (c) 20 (d) 13

Answer key

  1. 160
  2. 128
  3. 5
  4. 12
  5. 38
  6. 64
  7. 80
  8. 8
  9. 24
  10. 60
  11. 12
  12. 24
  13. 17
  14. 61
  15. 38
  16. 9
  17. 22
  18. 79
  19. 26
  20. 23
  21. 51
  22. 78
  23. 27
  24. 24
  25. 1
  26. 62
  27. 9
  28. 15
  29. 39
  30. 36
  31. 77
  32. 22
  33. 24
  34. 38
  35. 9
  36. 23
  37. 7
  38. 5
  39. 12
  40. 20

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