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🧠Q3 LVL 8: Proportions and Ratios in Similar Figures

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10 questions
Show answers
  • Q1
    The ratio of the sides of two similar triangles is 3:7. If the smaller triangle’s perimeter is 18 cm, what is the perimeter of the larger triangle?
    24 cm
    42 cm
    30 cm
    36 cm
    30s
  • Q2
    The ratio of the areas of two similar rectangles is 1:4. If the area of the smaller rectangle is 25 cm², what is the area of the larger rectangle?
    100 cm²
    75 cm²
    40 cm²
    50 cm²
    30s
  • Q3
    If a map's scale is 1:20000, what would be the real distance for 8 cm measured on the map?
    800 m
    1600 m
    2400 m
    3200 m
    30s
  • Q4
    A hiking map has a scale of 1:50000. If two campsites are 3 cm apart on the map, what is the actual distance between them in kilometers?
    2.5 km
    1.5 km
    1 km
    2 km
    30s
  • Q5
    True or False: Two figures with the same shape but different sizes are called congruent.
    Identical
    True
    Similar
    False
    30s
  • Q6
    A rectangle has a width of 8 cm and a length of 12 cm. If a similar rectangle has a width of 10 cm, find its length.
    15 cm
    12 cm
    10 cm
    18 cm
    30s
  • Q7
    A rectangle has a width of 5 cm and a length of 20 cm. If a similar rectangle has a length of 25 cm, what is its width?
    8 cm
    6.25 cm
    7 cm
    5 cm
    30s
  • Q8
    A rectangle has a length of 14 cm and a width of 7 cm. If a similar rectangle has a length of 21 cm, what is its width?
    11 cm
    9 cm
    10.5 cm
    12 cm
    30s
  • Q9
    A school poster is enlarged so that its dimensions increase by 25%. If the original poster's area was 80 cm², what is the area of the enlarged poster?
    64 cm²
    100 cm²
    90 cm²
    75 cm²
    30s
  • Q10
    If a poster's area is enlarged from 80 cm² to a new area, how much would each dimension need to increase to achieve a final area of 144 cm²?
    25%
    30%
    60%
    40%
    30s

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