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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 863 · 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? 16, 17, 19, 22, 26, ? (a) 32 (b) 30 (c) 31 (d) 33
  2. 2.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 21 (c) 23 (d) 26
  3. 3.What comes next? 26, 28, 30, 32, 34, ? (a) 38 (b) 35 (c) 37 (d) 36
  4. 4.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 20 (d) 18
  5. 5.What comes next? 10, 16, 14, 20, 18, 24, ? (a) 21 (b) 26 (c) 22 (d) 30
  6. 6.What comes next? 16, 24, 21, 29, 26, 34, ? (a) 42 (b) 31 (c) 37 (d) 30
  7. 7.What comes next? 15, 25, 35, 45, 55, ? (a) 75 (b) 66 (c) 65 (d) 64
  8. 8.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 9 (c) 8 (d) 3
  9. 9.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 11 (b) 10 (c) 3 (d) 4
  10. 10.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 56 (c) 55 (d) 61
  11. 11.What comes next? 16, 14, 12, 10, 8, ? (a) 6 (b) 7 (c) 4 (d) 5
  12. 12.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 7 (c) 3 (d) 6
  13. 13.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 11 (c) 13 (d) 15
  14. 14.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 31 (c) 33 (d) 32
  15. 15.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  16. 16.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 37 (d) 38
  17. 17.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 16 (c) 15 (d) 9
  18. 18.What comes next? 50, 42, 34, 26, 18, ? (a) 10 (b) 9 (c) 11 (d) 2
  19. 19.What comes next? 31, 27, 23, 19, 15, ? (a) 11 (b) 7 (c) 12 (d) 10
  20. 20.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 2 (c) 3 (d) 1
  21. 21.What comes next? 30, 34, 38, 42, 46, ? (a) 50 (b) 54 (c) 51 (d) 49
  22. 22.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  23. 23.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 18 (c) 19 (d) 16
  24. 24.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 4 (c) 6 (d) 5
  25. 25.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 27 (c) 26 (d) 24
  26. 26.What comes next? 54, 47, 40, 33, 26, ? (a) 12 (b) 18 (c) 20 (d) 19
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 29 (c) 32 (d) 30
  28. 28.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 33 (c) 32 (d) 31
  29. 29.What comes next? 9, 17, 25, 33, 41, ? (a) 49 (b) 48 (c) 50 (d) 57
  30. 30.What comes next? 23, 28, 33, 38, 43, ? (a) 48 (b) 47 (c) 49 (d) 53
  31. 31.What comes next? 17, 25, 23, 31, 29, 37, ? (a) 39 (b) 34 (c) 45 (d) 35
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  33. 33.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 21 (c) 22 (d) 26
  34. 34.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 27 (b) 28 (c) 30 (d) 34
  35. 35.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  36. 36.What comes next? 14, 20, 15, 21, 16, 22, ? (a) 16 (b) 27 (c) 28 (d) 17
  37. 37.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 5 (c) 4 (d) 3
  38. 38.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 26 (b) 19 (c) 18 (d) 25
  39. 39.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 46 (d) 48
  40. 40.What comes next? 23, 32, 41, 50, 59, ? (a) 77 (b) 67 (c) 68 (d) 69

Answer key

  1. 31
  2. 21
  3. 36
  4. 19
  5. 22
  6. 31
  7. 65
  8. 9
  9. 4
  10. 55
  11. 6
  12. 7
  13. 11
  14. 31
  15. 2
  16. 37
  17. 15
  18. 10
  19. 11
  20. 2
  21. 50
  22. 32
  23. 17
  24. 5
  25. 26
  26. 19
  27. 30
  28. 31
  29. 49
  30. 48
  31. 35
  32. 243
  33. 22
  34. 28
  35. 81
  36. 17
  37. 3
  38. 19
  39. 46
  40. 68

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