Mathematics 0580: FORMULAEE Topical Past Paper Questions

The diagram shows a sphere and a cone. NOT TO SCALE The radius of the sphere is 3.6 cm. The radius of the cone is $ r \, cm $ and the slant height is 8 cm. The surface area of the sphere is equal to the curved surface area of the cone. Find the value of r. [4]

$$ G = \frac{4}{5}m^2n $$ Find the value of $G$ when $m = 6$ and $n = 15$. G = [1]

Sacha buys $b$ books and $m$ magazines. The cost of each book is $12 and the cost of each magazine is $5. Write an expression, in terms of $b$ and $m$, for the total cost of the books and the magazines. [2]