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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 880 · 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? 7, 10, 14, 19, 25, ? (a) 31 (b) 32 (c) 34 (d) 33
  2. 2.What comes next? 13, 22, 20, 29, 27, 36, ? (a) 34 (b) 33 (c) 38 (d) 45
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  4. 4.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 15 (c) 13 (d) 14
  5. 5.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 36 (c) 33 (d) 34
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  7. 7.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 20 (d) 21
  8. 8.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 43 (c) 40 (d) 41
  9. 9.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 18 (d) 17
  10. 10.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 8 (c) 5 (d) 7
  11. 11.What comes next? 8, 11, 14, 17, 20, ? (a) 23 (b) 26 (c) 22 (d) 24
  12. 12.What comes next? 30, 41, 52, 63, 74, ? (a) 85 (b) 96 (c) 86 (d) 84
  13. 13.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 23 (c) 25 (d) 22
  14. 14.What comes next? 25, 30, 35, 40, 45, ? (a) 51 (b) 55 (c) 49 (d) 50
  15. 15.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 29 (d) 28
  16. 16.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 19 (b) 17 (c) 21 (d) 16
  17. 17.What comes next? 67, 59, 51, 43, 35, ? (a) 19 (b) 28 (c) 26 (d) 27
  18. 18.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 13 (b) 26 (c) 12 (d) 23
  19. 19.What comes next? 18, 29, 40, 51, 62, ? (a) 73 (b) 72 (c) 74 (d) 84
  20. 20.What comes next? 18, 23, 28, 33, 38, ? (a) 44 (b) 43 (c) 42 (d) 48
  21. 21.What comes next? 36, 33, 30, 27, 24, ? (a) 21 (b) 18 (c) 20 (d) 22
  22. 22.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 24 (d) 27
  23. 23.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 74 (d) 75
  24. 24.What comes next? 63, 54, 45, 36, 27, ? (a) 19 (b) 17 (c) 9 (d) 18
  25. 25.What comes next? 29, 26, 23, 20, 17, ? (a) 11 (b) 13 (c) 15 (d) 14
  26. 26.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  28. 28.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 12 (c) 10 (d) 8
  29. 29.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 57 (c) 58 (d) 59
  30. 30.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 40 (c) 37 (d) 38
  31. 31.What comes next? 8, 19, 30, 41, 52, ? (a) 62 (b) 64 (c) 74 (d) 63
  32. 32.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 64 (c) 66 (d) 65
  33. 33.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 45 (c) 42 (d) 43
  34. 34.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 44 (c) 45 (d) 46
  35. 35.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 23 (c) 27 (d) 22
  36. 36.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 20 (c) 14 (d) 19
  37. 37.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 21 (b) 12 (c) 22 (d) 13
  38. 38.What comes next? 17, 23, 29, 35, 41, ? (a) 47 (b) 53 (c) 48 (d) 46
  39. 39.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 7 (d) 6
  40. 40.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 12 (b) 17 (c) 11 (d) 14

Answer key

  1. 32
  2. 34
  3. 128
  4. 14
  5. 34
  6. 81
  7. 21
  8. 41
  9. 18
  10. 8
  11. 23
  12. 85
  13. 23
  14. 50
  15. 29
  16. 17
  17. 27
  18. 13
  19. 73
  20. 43
  21. 21
  22. 25
  23. 75
  24. 18
  25. 14
  26. 162
  27. 243
  28. 8
  29. 58
  30. 38
  31. 63
  32. 65
  33. 43
  34. 44
  35. 23
  36. 19
  37. 13
  38. 47
  39. 6
  40. 12

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