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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 837 · 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? 14, 22, 20, 28, 26, 34, ? (a) 31 (b) 36 (c) 42 (d) 32
  2. 2.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 53 (c) 59 (d) 54
  3. 3.What comes next? 67, 59, 51, 43, 35, ? (a) 26 (b) 28 (c) 27 (d) 19
  4. 4.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 22 (b) 18 (c) 17 (d) 24
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  6. 6.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 22 (c) 17 (d) 18
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  8. 8.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 22 (c) 24 (d) 23
  9. 9.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 5 (d) 8
  10. 10.What comes next? 22, 26, 30, 34, 38, ? (a) 41 (b) 42 (c) 43 (d) 46
  11. 11.What comes next? 38, 34, 30, 26, 22, ? (a) 14 (b) 18 (c) 19 (d) 17
  12. 12.What comes next? 14, 23, 16, 25, 18, 27, ? (a) 36 (b) 19 (c) 20 (d) 34
  13. 13.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 72 (c) 73 (d) 85
  14. 14.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 4 (b) 15 (c) 14 (d) 3
  15. 15.What comes next? 15, 27, 39, 51, 63, ? (a) 75 (b) 87 (c) 76 (d) 74
  16. 16.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 20 (c) 19 (d) 18
  17. 17.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 25 (c) 23 (d) 24
  18. 18.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 75 (c) 74 (d) 73
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  20. 20.What comes next? 23, 28, 33, 38, 43, ? (a) 47 (b) 48 (c) 53 (d) 49
  21. 21.What comes next? 34, 28, 22, 16, 10, ? (a) 3 (b) 5 (c) 6 (d) 4
  22. 22.What comes next? 2, 11, 7, 16, 12, 21, ? (a) 30 (b) 17 (c) 16 (d) 25
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  24. 24.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 14 (b) 8 (c) 13 (d) 9
  25. 25.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 61 (c) 60 (d) 59
  26. 26.What comes next? 9, 11, 13, 15, 17, ? (a) 20 (b) 19 (c) 18 (d) 21
  27. 27.What comes next? 10, 13, 17, 22, 28, ? (a) 36 (b) 37 (c) 34 (d) 35
  28. 28.What comes next? 2, 4, 6, 8, 10, ? (a) 13 (b) 14 (c) 12 (d) 11
  29. 29.What comes next? 14, 17, 20, 23, 26, ? (a) 29 (b) 32 (c) 28 (d) 30
  30. 30.What comes next? 13, 16, 19, 22, 25, ? (a) 31 (b) 29 (c) 28 (d) 27
  31. 31.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  32. 32.What comes next? 22, 34, 46, 58, 70, ? (a) 83 (b) 94 (c) 81 (d) 82
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  34. 34.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  35. 35.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 31 (c) 26 (d) 28
  36. 36.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 28 (c) 30 (d) 29
  37. 37.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 61 (c) 55 (d) 56
  38. 38.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 30 (d) 28
  39. 39.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 18 (b) 14 (c) 13 (d) 21
  40. 40.What comes next? 15, 22, 17, 24, 19, 26, ? (a) 31 (b) 33 (c) 20 (d) 21

Answer key

  1. 32
  2. 54
  3. 27
  4. 18
  5. 160
  6. 18
  7. 32
  8. 23
  9. 7
  10. 42
  11. 18
  12. 20
  13. 73
  14. 4
  15. 75
  16. 18
  17. 23
  18. 74
  19. 243
  20. 48
  21. 4
  22. 17
  23. 64
  24. 9
  25. 60
  26. 19
  27. 35
  28. 12
  29. 29
  30. 28
  31. 128
  32. 82
  33. 81
  34. 96
  35. 27
  36. 29
  37. 55
  38. 28
  39. 14
  40. 21

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