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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 961 · 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, 23, 30, 37, 44, ? (a) 52 (b) 58 (c) 50 (d) 51
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  3. 3.What comes next? 26, 36, 46, 56, 66, ? (a) 76 (b) 86 (c) 77 (d) 75
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  5. 5.What comes next? 8, 14, 13, 19, 18, 24, ? (a) 30 (b) 22 (c) 25 (d) 23
  6. 6.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 4 (b) 5 (c) 21 (d) 22
  7. 7.What comes next? 20, 29, 24, 33, 28, 37, ? (a) 32 (b) 46 (c) 42 (d) 31
  8. 8.What comes next? 25, 30, 35, 40, 45, ? (a) 50 (b) 51 (c) 49 (d) 55
  9. 9.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 34 (c) 36 (d) 33
  10. 10.What comes next? 14, 22, 30, 38, 46, ? (a) 55 (b) 53 (c) 62 (d) 54
  11. 11.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 34 (c) 33 (d) 31
  12. 12.What comes next? 28, 26, 24, 22, 20, ? (a) 16 (b) 19 (c) 17 (d) 18
  13. 13.What comes next? 12, 22, 32, 42, 52, ? (a) 61 (b) 63 (c) 62 (d) 72
  14. 14.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 38 (d) 40
  15. 15.What comes next? 10, 19, 15, 24, 20, 29, ? (a) 24 (b) 33 (c) 38 (d) 25
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  17. 17.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 35 (c) 31 (d) 33
  18. 18.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 42 (d) 43
  19. 19.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 80 (c) 93 (d) 81
  20. 20.What comes next? 12, 17, 15, 20, 18, 23, ? (a) 20 (b) 25 (c) 28 (d) 21
  21. 21.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 25 (d) 22
  22. 22.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 12 (b) 13 (c) 15 (d) 18
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  24. 24.What comes next? 27, 38, 49, 60, 71, ? (a) 93 (b) 81 (c) 82 (d) 83
  25. 25.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 20 (b) 15 (c) 16 (d) 18
  26. 26.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 11 (c) 10 (d) 15
  27. 27.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 13 (c) 11 (d) 12
  28. 28.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 37 (c) 38 (d) 39
  29. 29.What comes next? 11, 18, 25, 32, 39, ? (a) 47 (b) 45 (c) 53 (d) 46
  30. 30.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 47 (d) 45
  31. 31.What comes next? 2, 11, 8, 17, 14, 23, ? (a) 26 (b) 20 (c) 32 (d) 19
  32. 32.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  33. 33.What comes next? 2, 7, 5, 10, 8, 13, ? (a) 11 (b) 18 (c) 10 (d) 15
  34. 34.What comes next? 62, 55, 48, 41, 34, ? (a) 28 (b) 27 (c) 26 (d) 20
  35. 35.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 10 (c) 12 (d) 11
  36. 36.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 4 (c) 5 (d) 1
  37. 37.What comes next? 43, 40, 37, 34, 31, ? (a) 28 (b) 25 (c) 27 (d) 29
  38. 38.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 31 (c) 32 (d) 30
  39. 39.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 22 (c) 31 (d) 30
  40. 40.What comes next? 19, 21, 23, 25, 27, ? (a) 29 (b) 28 (c) 31 (d) 30

Answer key

  1. 51
  2. 243
  3. 76
  4. 162
  5. 23
  6. 5
  7. 32
  8. 50
  9. 34
  10. 54
  11. 32
  12. 18
  13. 62
  14. 38
  15. 25
  16. 96
  17. 32
  18. 42
  19. 81
  20. 21
  21. 23
  22. 13
  23. 81
  24. 82
  25. 16
  26. 11
  27. 12
  28. 37
  29. 46
  30. 45
  31. 20
  32. 1
  33. 11
  34. 27
  35. 11
  36. 4
  37. 28
  38. 31
  39. 30
  40. 29

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