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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 833 · 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? 17, 27, 37, 47, 57, ? (a) 77 (b) 67 (c) 66 (d) 68
  2. 2.What comes next? 10, 13, 16, 19, 22, ? (a) 28 (b) 24 (c) 25 (d) 26
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  4. 4.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 5 (c) 6 (d) 1
  5. 5.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4
  6. 6.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 43 (c) 42 (d) 41
  7. 7.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 31 (c) 30 (d) 32
  8. 8.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 7 (c) 6 (d) 8
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  10. 10.What comes next? 51, 45, 39, 33, 27, ? (a) 15 (b) 21 (c) 22 (d) 20
  11. 11.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 32 (c) 34 (d) 33
  12. 12.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 21 (c) 19 (d) 20
  13. 13.What comes next? 24, 30, 36, 42, 48, ? (a) 53 (b) 54 (c) 60 (d) 55
  14. 14.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 6 (b) 12 (c) 7 (d) 11
  15. 15.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  16. 16.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 76 (c) 67 (d) 65
  17. 17.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 40 (c) 38 (d) 41
  18. 18.What comes next? 42, 38, 34, 30, 26, ? (a) 18 (b) 21 (c) 22 (d) 23
  19. 19.What comes next? 14, 23, 32, 41, 50, ? (a) 60 (b) 68 (c) 58 (d) 59
  20. 20.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 8 (c) 10 (d) 9
  21. 21.What comes next? 32, 30, 28, 26, 24, ? (a) 22 (b) 20 (c) 23 (d) 21
  22. 22.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 5 (c) 9 (d) 4
  23. 23.What comes next? 38, 34, 30, 26, 22, ? (a) 18 (b) 19 (c) 17 (d) 14
  24. 24.What comes next? 17, 23, 29, 35, 41, ? (a) 46 (b) 48 (c) 47 (d) 53
  25. 25.What comes next? 50, 45, 40, 35, 30, ? (a) 25 (b) 20 (c) 26 (d) 24
  26. 26.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 12 (c) 18 (d) 13
  27. 27.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 24 (c) 23 (d) 22
  28. 28.What comes next? 23, 30, 37, 44, 51, ? (a) 59 (b) 57 (c) 65 (d) 58
  29. 29.What comes next? 20, 25, 22, 27, 24, 29, ? (a) 34 (b) 25 (c) 26 (d) 32
  30. 30.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 42 (c) 43 (d) 44
  31. 31.What comes next? 9, 16, 23, 30, 37, ? (a) 51 (b) 43 (c) 45 (d) 44
  32. 32.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 33 (c) 35 (d) 34
  33. 33.What comes next? 48, 44, 40, 36, 32, ? (a) 27 (b) 24 (c) 28 (d) 29
  34. 34.What comes next? 66, 57, 48, 39, 30, ? (a) 12 (b) 22 (c) 21 (d) 20
  35. 35.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  36. 36.What comes next? 9, 18, 12, 21, 15, 24, ? (a) 17 (b) 30 (c) 18 (d) 33
  37. 37.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  38. 38.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  39. 39.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  40. 40.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 51 (c) 58 (d) 50

Answer key

  1. 67
  2. 25
  3. 162
  4. 6
  5. 5
  6. 42
  7. 30
  8. 6
  9. 81
  10. 21
  11. 32
  12. 19
  13. 54
  14. 7
  15. 64
  16. 66
  17. 39
  18. 22
  19. 59
  20. 9
  21. 22
  22. 5
  23. 18
  24. 47
  25. 25
  26. 13
  27. 23
  28. 58
  29. 26
  30. 42
  31. 44
  32. 34
  33. 28
  34. 21
  35. 128
  36. 18
  37. 2
  38. 96
  39. 192
  40. 50

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