Similarity and Symmetry — Questions
IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.
Question 1
[2](a)Two similar triangles have a length scale factor of 1.5. State the area scale factor and the volume scale factor.
Question 2
[3](a)A small triangle has area 12 cm². A similar, larger triangle has a length scale factor of 1.5 compared with the small one. Calculate the area of the larger triangle.
Question 3
[1](a)Two similar shapes have a length scale factor of 2. State the area scale factor.
Question 4
[2](a)A small triangle has area 15 cm². A similar triangle has a length scale factor of 2 relative to it. Calculate the larger triangle's area.
Question 5
[3](a)Two similar solids have volumes in the ratio 8:27. Find the ratio of their corresponding lengths.
Question 6
[1](a)State the number of lines of symmetry of an isosceles triangle (that is not equilateral).
Question 7
[2](a)Two similar solids have a length scale factor of 3. State the surface area scale factor and the volume scale factor.
Question 8
[2](a)A small rectangle 4 cm × 6 cm is enlarged by scale factor 2 to give a similar rectangle. Verify the area scale factor is 4 by calculating both areas.
Question 9
[2](a)Explain how similar triangles are used to find the height of a tall object using its shadow.
Question 10
[1](a)State the number of lines of symmetry of a square.
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