exam Maths Puzzle Numerical Ability

Q. The diagonals AC and BD of quadrilateral ABCD are perpendicular to each other.
If P,Q,R,S are the midpoints of AB,BC,CD and DA, then prove quadrilateral PQRS

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exam Other Question

The demand and supply equations for a certain item are given by D = -5p + 40 S = -p2 + 30p - 8Find the equilibrium price.
A) $1.57 B) $1.29 C) $1.71 D) $1.43
directly from the work book:

Sketch the graph of the function. Label the vertex.

y = x(squared) + 2x + 1