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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 687 · 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? 61, 54, 47, 40, 33, ? (a) 19 (b) 27 (c) 26 (d) 25
  2. 2.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 21 (c) 20 (d) 23
  3. 3.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 37 (c) 38 (d) 39
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  5. 5.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  6. 6.What comes next? 49, 44, 39, 34, 29, ? (a) 25 (b) 19 (c) 23 (d) 24
  7. 7.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 38 (c) 45 (d) 39
  8. 8.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 14 (c) 15 (d) 16
  9. 9.What comes next? 3, 11, 19, 27, 35, ? (a) 43 (b) 44 (c) 51 (d) 42
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  11. 11.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 2 (c) 3 (d) 5
  12. 12.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 7 (d) 8
  13. 13.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 30 (c) 31 (d) 27
  14. 14.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 38 (b) 44 (c) 34 (d) 33
  15. 15.What comes next? 18, 22, 27, 33, 40, ? (a) 50 (b) 48 (c) 49 (d) 47
  16. 16.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 11 (b) 12 (c) 5 (d) 4
  17. 17.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 18 (b) 22 (c) 13 (d) 14
  18. 18.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 40 (c) 39 (d) 38
  19. 19.What comes next? 9, 19, 29, 39, 49, ? (a) 58 (b) 69 (c) 59 (d) 60
  20. 20.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 20 (b) 19 (c) 30 (d) 33
  21. 21.What comes next? 5, 10, 15, 20, 25, ? (a) 29 (b) 30 (c) 35 (d) 31
  22. 22.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 26 (d) 24
  23. 23.What comes next? 26, 36, 46, 56, 66, ? (a) 77 (b) 75 (c) 76 (d) 86
  24. 24.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 28 (c) 29 (d) 30
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  26. 26.What comes next? 44, 40, 36, 32, 28, ? (a) 25 (b) 23 (c) 24 (d) 20
  27. 27.What comes next? 60, 53, 46, 39, 32, ? (a) 25 (b) 26 (c) 24 (d) 18
  28. 28.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 2 (c) 4 (d) 1
  29. 29.What comes next? 4, 15, 26, 37, 48, ? (a) 58 (b) 60 (c) 70 (d) 59
  30. 30.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  31. 31.What comes next? 20, 29, 38, 47, 56, ? (a) 66 (b) 65 (c) 74 (d) 64
  32. 32.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 26 (c) 24 (d) 25
  33. 33.What comes next? 14, 23, 16, 25, 18, 27, ? (a) 36 (b) 19 (c) 34 (d) 20
  34. 34.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 44 (c) 45 (d) 46
  35. 35.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 5 (d) 6
  36. 36.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 15 (b) 28 (c) 27 (d) 14
  37. 37.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 37 (d) 35
  38. 38.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 19 (b) 29 (c) 20 (d) 26
  39. 39.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 20 (b) 23 (c) 21 (d) 29
  40. 40.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 30 (d) 29

Answer key

  1. 26
  2. 21
  3. 38
  4. 64
  5. 18
  6. 24
  7. 39
  8. 15
  9. 43
  10. 160
  11. 3
  12. 8
  13. 30
  14. 34
  15. 48
  16. 5
  17. 14
  18. 39
  19. 59
  20. 20
  21. 30
  22. 24
  23. 76
  24. 29
  25. 32
  26. 24
  27. 25
  28. 2
  29. 59
  30. 162
  31. 65
  32. 25
  33. 20
  34. 45
  35. 4
  36. 15
  37. 35
  38. 20
  39. 21
  40. 30

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