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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 831 · 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, 6, 11, 7, 12, ? (a) 16 (b) 17 (c) 8 (d) 7
  2. 2.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 41 (c) 40 (d) 39
  3. 3.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 31 (c) 29 (d) 30
  4. 4.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 15 (c) 11 (d) 10
  5. 5.What comes next? 26, 30, 34, 38, 42, ? (a) 46 (b) 47 (c) 50 (d) 45
  6. 6.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 43 (c) 42 (d) 40
  7. 7.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 19 (b) 27 (c) 20 (d) 24
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  9. 9.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 7 (c) 8 (d) 6
  10. 10.What comes next? 5, 15, 25, 35, 45, ? (a) 56 (b) 54 (c) 55 (d) 65
  11. 11.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 42 (c) 40 (d) 41
  12. 12.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 7 (c) 8 (d) 9
  13. 13.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 2 (c) 4 (d) 5
  14. 14.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 32 (b) 22 (c) 33 (d) 21
  15. 15.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 28 (d) 26
  16. 16.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 18 (c) 22 (d) 21
  17. 17.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 31 (b) 34 (c) 32 (d) 39
  18. 18.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 19 (b) 21 (c) 7 (d) 6
  19. 19.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 7 (c) 5 (d) 6
  20. 20.What comes next? 17, 25, 22, 30, 27, 35, ? (a) 32 (b) 38 (c) 31 (d) 43
  21. 21.What comes next? 10, 18, 26, 34, 42, ? (a) 50 (b) 49 (c) 51 (d) 58
  22. 22.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  24. 24.What comes next? 28, 38, 48, 58, 68, ? (a) 79 (b) 78 (c) 88 (d) 77
  25. 25.What comes next? 37, 32, 27, 22, 17, ? (a) 11 (b) 7 (c) 13 (d) 12
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  27. 27.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 10 (c) 11 (d) 12
  28. 28.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 42 (c) 46 (d) 41
  29. 29.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 52 (c) 50 (d) 51
  30. 30.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 11 (b) 21 (c) 10 (d) 19
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  32. 32.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 23 (c) 24 (d) 26
  33. 33.What comes next? 12, 21, 30, 39, 48, ? (a) 56 (b) 58 (c) 57 (d) 66
  34. 34.What comes next? 13, 11, 9, 7, 5, ? (a) 2 (b) 4 (c) 3 (d) 1
  35. 35.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 58 (c) 60 (d) 59
  36. 36.What comes next? 12, 18, 13, 19, 14, 20, ? (a) 14 (b) 15 (c) 25 (d) 26
  37. 37.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 17 (b) 21 (c) 16 (d) 22
  38. 38.What comes next? 50, 42, 34, 26, 18, ? (a) 11 (b) 10 (c) 9 (d) 2
  39. 39.What comes next? 19, 27, 26, 34, 33, 41, ? (a) 49 (b) 39 (c) 42 (d) 40
  40. 40.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 54 (c) 62 (d) 53

Answer key

  1. 8
  2. 40
  3. 30
  4. 11
  5. 46
  6. 41
  7. 20
  8. 32
  9. 6
  10. 55
  11. 41
  12. 9
  13. 3
  14. 22
  15. 27
  16. 22
  17. 32
  18. 7
  19. 6
  20. 32
  21. 50
  22. 128
  23. 81
  24. 78
  25. 12
  26. 192
  27. 11
  28. 42
  29. 50
  30. 11
  31. 160
  32. 24
  33. 57
  34. 3
  35. 59
  36. 15
  37. 17
  38. 10
  39. 40
  40. 53

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