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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 792 · 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, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 27 (d) 25
  2. 2.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 29 (c) 27 (d) 30
  3. 3.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 24 (c) 23 (d) 28
  4. 4.What comes next? 31, 25, 19, 13, 7, ? (a) 1 (b) 4 (c) 3 (d) 2
  5. 5.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 10 (b) 11 (c) 15 (d) 16
  6. 6.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 6 (c) 13 (d) 12
  7. 7.What comes next? 29, 24, 19, 14, 9, ? (a) 6 (b) 4 (c) 3 (d) 5
  8. 8.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 29 (c) 28 (d) 30
  9. 9.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 29 (b) 19 (c) 23 (d) 18
  10. 10.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 19 (b) 7 (c) 8 (d) 18
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  12. 12.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 7 (b) 6 (c) 11 (d) 12
  13. 13.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 40 (c) 37 (d) 38
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  15. 15.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 66 (c) 64 (d) 65
  16. 16.What comes next? 30, 42, 54, 66, 78, ? (a) 90 (b) 91 (c) 89 (d) 102
  17. 17.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 13 (c) 12 (d) 17
  18. 18.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 21 (b) 23 (c) 25 (d) 20
  19. 19.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 33 (c) 32 (d) 35
  20. 20.What comes next? 15, 22, 17, 24, 19, 26, ? (a) 31 (b) 33 (c) 20 (d) 21
  21. 21.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 39 (c) 36 (d) 37
  22. 22.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  24. 24.What comes next? 74, 65, 56, 47, 38, ? (a) 28 (b) 30 (c) 29 (d) 20
  25. 25.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 16 (c) 18 (d) 17
  26. 26.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 3 (d) 2
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  28. 28.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 10 (c) 12 (d) 11
  29. 29.What comes next? 29, 32, 35, 38, 41, ? (a) 47 (b) 45 (c) 43 (d) 44
  30. 30.What comes next? 19, 25, 21, 27, 23, 29, ? (a) 25 (b) 33 (c) 24 (d) 35
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  32. 32.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 21 (c) 22 (d) 26
  33. 33.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 23 (b) 22 (c) 31 (d) 27
  34. 34.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 34 (b) 38 (c) 44 (d) 33
  35. 35.What comes next? 63, 55, 47, 39, 31, ? (a) 24 (b) 22 (c) 15 (d) 23
  36. 36.What comes next? 19, 21, 23, 25, 27, ? (a) 29 (b) 30 (c) 28 (d) 31
  37. 37.What comes next? 13, 21, 19, 27, 25, 33, ? (a) 31 (b) 41 (c) 30 (d) 35
  38. 38.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  39. 39.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 18 (c) 19 (d) 17
  40. 40.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 14 (c) 16 (d) 11

Answer key

  1. 26
  2. 28
  3. 24
  4. 1
  5. 11
  6. 13
  7. 4
  8. 28
  9. 19
  10. 8
  11. 162
  12. 7
  13. 38
  14. 128
  15. 65
  16. 90
  17. 13
  18. 21
  19. 33
  20. 21
  21. 37
  22. 32
  23. 64
  24. 29
  25. 16
  26. 3
  27. 243
  28. 11
  29. 44
  30. 25
  31. 81
  32. 22
  33. 23
  34. 34
  35. 23
  36. 29
  37. 31
  38. 96
  39. 18
  40. 12

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