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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 681 · 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? 1, 8, 5, 12, 9, 16, ? (a) 13 (b) 23 (c) 19 (d) 12
  2. 2.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 9 (b) 15 (c) 13 (d) 8
  3. 3.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 43 (c) 42 (d) 44
  4. 4.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 32 (c) 33 (d) 30
  5. 5.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  6. 6.What comes next? 52, 47, 42, 37, 32, ? (a) 28 (b) 22 (c) 26 (d) 27
  7. 7.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 24 (d) 25
  8. 8.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 49 (c) 44 (d) 45
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  10. 10.What comes next? 16, 24, 23, 31, 30, 38, ? (a) 39 (b) 36 (c) 37 (d) 46
  11. 11.What comes next? 16, 22, 18, 24, 20, 26, ? (a) 22 (b) 21 (c) 32 (d) 30
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  13. 13.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 27 (c) 28 (d) 23
  14. 14.What comes next? 13, 20, 17, 24, 21, 28, ? (a) 35 (b) 31 (c) 25 (d) 24
  15. 15.What comes next? 16, 23, 18, 25, 20, 27, ? (a) 22 (b) 34 (c) 32 (d) 21
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  17. 17.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 60 (c) 61 (d) 62
  18. 18.What comes next? 16, 28, 40, 52, 64, ? (a) 88 (b) 77 (c) 75 (d) 76
  19. 19.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  21. 21.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 9 (b) 13 (c) 8 (d) 14
  22. 22.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 47 (d) 44
  23. 23.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 45 (c) 44 (d) 43
  24. 24.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 9 (c) 13 (d) 15
  25. 25.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 8 (c) 5 (d) 6
  26. 26.What comes next? 17, 23, 20, 26, 23, 29, ? (a) 32 (b) 26 (c) 35 (d) 25
  27. 27.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 27 (b) 29 (c) 26 (d) 36
  28. 28.What comes next? 11, 19, 27, 35, 43, ? (a) 50 (b) 51 (c) 59 (d) 52
  29. 29.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 6 (c) 3 (d) 5
  30. 30.What comes next? 12, 17, 22, 27, 32, ? (a) 42 (b) 36 (c) 38 (d) 37
  31. 31.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  32. 32.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 64 (c) 65 (d) 66
  33. 33.What comes next? 59, 52, 45, 38, 31, ? (a) 25 (b) 17 (c) 24 (d) 23
  34. 34.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 26 (c) 28 (d) 27
  35. 35.What comes next? 20, 27, 34, 41, 48, ? (a) 56 (b) 55 (c) 54 (d) 62
  36. 36.What comes next? 12, 22, 32, 42, 52, ? (a) 63 (b) 62 (c) 61 (d) 72
  37. 37.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 6 (c) 7 (d) 4
  38. 38.What comes next? 35, 29, 23, 17, 11, ? (a) 6 (b) 4 (c) 7 (d) 5
  39. 39.What comes next? 41, 33, 25, 17, 9, ? (a) 1 (b) 3 (c) 4 (d) 2
  40. 40.What comes next? 58, 51, 44, 37, 30, ? (a) 24 (b) 16 (c) 23 (d) 22

Answer key

  1. 13
  2. 9
  3. 42
  4. 31
  5. 26
  6. 27
  7. 24
  8. 44
  9. 243
  10. 37
  11. 22
  12. 64
  13. 23
  14. 25
  15. 22
  16. 96
  17. 61
  18. 76
  19. 2
  20. 128
  21. 9
  22. 45
  23. 43
  24. 14
  25. 6
  26. 26
  27. 27
  28. 51
  29. 4
  30. 37
  31. 42
  32. 65
  33. 24
  34. 26
  35. 55
  36. 62
  37. 7
  38. 5
  39. 1
  40. 23

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