Mathematics 0580: SYMMETRY Topical Past Paper Questions

NOT TO SCALE $ABCDE$ is a square-based pyramid. $EC$ and $BD$ intersect at $F$. $AF$ is perpendicular to the base $BCDE$. $BC = 16.5\,\text{cm}$ and $AF = 28\,\text{cm}$. **(a)** Write down the number of planes of symmetry of the pyramid. [1] **(b)** Calculate the volume of the p…

(a) The diagram shows a regular decagon. AB is a line of symmetry of the decagon. Work out the value of d. d= ..... [3] (b) The exterior angle of a regular polygon with $n$ sides is $45^{\circ}$. Work out the value of $n$.

(a) Draw a line through point P that is perpendicular to line l. [1] (b) Write down the mathematical names for two different quadrilaterals with • two lines of symmetry and • rotational symmetry of order two. ..... and (c) The diagram shows a quadrilateral on a $ 1 \, cm^{2} $ gr…