Problems adapted from questions set for previous Mathematics exams.
The circumference of the red circle is 80% of the circumference of the blue circle.
(a) Find the ratio of the area of the red circle to the area of the blue circle.
The green square has sides of length \(a\) cm.
The yellow square has sides of length \(b\) cm.
The area of the green square is 21% greater than the area of the yellow square.
(b) Work out the ratio \(a : b\)
The three boxes pictured below are mathematically similar.
The edges of the largest box are twice as long as the edges of the smallest box.
The volume of the middle box is twice as big as the volume of the smallest box.
What fraction is the volume of the middle box of the volume of the largest box?
Two similar pentagonal based pyramids have surface areas 200 cm2 and 50 cm2 respectively.
The volume of the larger pyramid is 800 cm3.
Show that the volume of the smaller pyramid is 100 cm3.
If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.