Mathematics International 0607: Algebra Topical Past Paper Questions

In this task you will look at the length of a line drawn on the curved surface of a cylinder. This line is called a helix. In this task, diagrams are not drawn to scale. A rectangle of paper is wrapped around a cylinder with diameter 10 cm. The long edges of the paper meet along…

Simplify. $$ \frac{1-2x}{ab-2abx+2x-1} $$

(a) The amount charged for electricity in one month is $E. $E$ is the sum of a fixed charge $f$ and a cost of $d$ for each unit of electricity used. Find a formula for the amount charged in one month when u units of electricity are used. [2] (b) Write as a single fraction in its…