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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 842 · 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? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 11 (c) 9 (d) 7
  2. 2.What comes next? 43, 36, 29, 22, 15, ? (a) 1 (b) 9 (c) 8 (d) 7
  3. 3.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 27 (c) 26 (d) 25
  4. 4.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 34 (d) 33
  5. 5.What comes next? 8, 14, 20, 26, 32, ? (a) 37 (b) 39 (c) 38 (d) 44
  6. 6.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  7. 7.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 36 (d) 35
  8. 8.What comes next? 19, 29, 39, 49, 59, ? (a) 70 (b) 79 (c) 68 (d) 69
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  11. 11.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 36 (c) 38 (d) 37
  12. 12.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 24 (c) 23 (d) 25
  13. 13.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 27 (c) 28 (d) 25
  14. 14.What comes next? 31, 27, 23, 19, 15, ? (a) 7 (b) 11 (c) 12 (d) 10
  15. 15.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 39 (c) 41 (d) 40
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  17. 17.What comes next? 27, 34, 41, 48, 55, ? (a) 63 (b) 61 (c) 69 (d) 62
  18. 18.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 37 (c) 35 (d) 34
  19. 19.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 37 (d) 39
  20. 20.What comes next? 15, 27, 39, 51, 63, ? (a) 75 (b) 87 (c) 74 (d) 76
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  22. 22.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 5 (b) 11 (c) 6 (d) 10
  23. 23.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 42 (c) 43 (d) 40
  24. 24.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 36 (c) 33 (d) 35
  25. 25.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 16 (b) 20 (c) 15 (d) 18
  26. 26.What comes next? 52, 44, 36, 28, 20, ? (a) 4 (b) 13 (c) 12 (d) 11
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  28. 28.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 20 (d) 19
  29. 29.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 26 (b) 19 (c) 27 (d) 20
  30. 30.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 29 (c) 24 (d) 25
  31. 31.What comes next? 17, 19, 21, 23, 25, ? (a) 26 (b) 27 (c) 29 (d) 28
  32. 32.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 88 (c) 90 (d) 89
  33. 33.What comes next? 56, 49, 42, 35, 28, ? (a) 21 (b) 20 (c) 14 (d) 22
  34. 34.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 27 (b) 31 (c) 18 (d) 19
  35. 35.What comes next? 18, 28, 38, 48, 58, ? (a) 78 (b) 69 (c) 67 (d) 68
  36. 36.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 56 (c) 54 (d) 55
  37. 37.What comes next? 14, 25, 36, 47, 58, ? (a) 68 (b) 70 (c) 69 (d) 80
  38. 38.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 27 (c) 25 (d) 28
  39. 39.What comes next? 21, 19, 17, 15, 13, ? (a) 10 (b) 9 (c) 11 (d) 12
  40. 40.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 30 (c) 31 (d) 35

Answer key

  1. 7
  2. 8
  3. 25
  4. 33
  5. 38
  6. 34
  7. 34
  8. 69
  9. 96
  10. 160
  11. 36
  12. 24
  13. 26
  14. 11
  15. 40
  16. 32
  17. 62
  18. 35
  19. 37
  20. 75
  21. 128
  22. 6
  23. 41
  24. 34
  25. 16
  26. 12
  27. 64
  28. 19
  29. 20
  30. 25
  31. 27
  32. 89
  33. 21
  34. 19
  35. 68
  36. 55
  37. 69
  38. 26
  39. 11
  40. 31

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