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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 693 · 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? 27, 36, 45, 54, 63, ? (a) 81 (b) 71 (c) 73 (d) 72
  2. 2.What comes next? 4, 10, 5, 11, 6, 12, ? (a) 7 (b) 18 (c) 17 (d) 6
  3. 3.What comes next? 23, 35, 47, 59, 71, ? (a) 95 (b) 83 (c) 82 (d) 84
  4. 4.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 41 (c) 39 (d) 40
  5. 5.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 34 (c) 33 (d) 32
  6. 6.What comes next? 65, 56, 47, 38, 29, ? (a) 20 (b) 21 (c) 11 (d) 19
  7. 7.What comes next? 16, 24, 19, 27, 22, 30, ? (a) 24 (b) 35 (c) 38 (d) 25
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  9. 9.What comes next? 25, 23, 21, 19, 17, ? (a) 16 (b) 13 (c) 15 (d) 14
  10. 10.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 3 (c) 6 (d) 5
  11. 11.What comes next? 27, 38, 49, 60, 71, ? (a) 93 (b) 81 (c) 83 (d) 82
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  13. 13.What comes next? 55, 46, 37, 28, 19, ? (a) 9 (b) 1 (c) 10 (d) 11
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  15. 15.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  16. 16.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 5 (c) 7 (d) 8
  17. 17.What comes next? 5, 11, 17, 23, 29, ? (a) 41 (b) 35 (c) 36 (d) 34
  18. 18.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  19. 19.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 37 (b) 44 (c) 34 (d) 35
  20. 20.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 7 (c) 20 (d) 8
  21. 21.What comes next? 7, 15, 10, 18, 13, 21, ? (a) 15 (b) 16 (c) 29 (d) 26
  22. 22.What comes next? 16, 23, 18, 25, 20, 27, ? (a) 34 (b) 21 (c) 32 (d) 22
  23. 23.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 4 (c) 2 (d) 1
  24. 24.What comes next? 16, 24, 17, 25, 18, 26, ? (a) 33 (b) 19 (c) 18 (d) 34
  25. 25.What comes next? 35, 31, 27, 23, 19, ? (a) 16 (b) 14 (c) 15 (d) 11
  26. 26.What comes next? 8, 15, 12, 19, 16, 23, ? (a) 19 (b) 20 (c) 30 (d) 26
  27. 27.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  28. 28.What comes next? 27, 32, 37, 42, 47, ? (a) 51 (b) 57 (c) 52 (d) 53
  29. 29.What comes next? 23, 29, 35, 41, 47, ? (a) 59 (b) 52 (c) 54 (d) 53
  30. 30.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 31 (c) 33 (d) 37
  31. 31.What comes next? 41, 38, 35, 32, 29, ? (a) 25 (b) 26 (c) 23 (d) 27
  32. 32.What comes next? 9, 14, 19, 24, 29, ? (a) 35 (b) 39 (c) 33 (d) 34
  33. 33.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 80 (c) 81 (d) 82
  34. 34.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 24 (d) 22
  35. 35.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 20 (b) 26 (c) 24 (d) 19
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  37. 37.What comes next? 7, 16, 25, 34, 43, ? (a) 53 (b) 51 (c) 61 (d) 52
  38. 38.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 28 (c) 23 (d) 24
  39. 39.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 27 (d) 26
  40. 40.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 22 (b) 23 (c) 31 (d) 27

Answer key

  1. 72
  2. 7
  3. 83
  4. 40
  5. 33
  6. 20
  7. 25
  8. 96
  9. 15
  10. 4
  11. 82
  12. 32
  13. 10
  14. 243
  15. 192
  16. 8
  17. 35
  18. 160
  19. 35
  20. 8
  21. 16
  22. 22
  23. 2
  24. 19
  25. 15
  26. 20
  27. 18
  28. 52
  29. 53
  30. 32
  31. 26
  32. 34
  33. 81
  34. 22
  35. 20
  36. 128
  37. 52
  38. 24
  39. 27
  40. 23

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