Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a(i))[2]

Find $A$ for $r=6.2$ cm and $l=10.8$ cm.

(a(ii))[2]

Rearrange the formula so that $l$ is the subject.

(b(i))[3]

Calculate Irina’s mean speed for the whole trip.

(b(ii))[5]

Find the value of $x$. Show your full working.

(c(i))[3]

Calculate the car’s original price.

(c(ii))[3]

Find an expression for the original price of this model car, in terms of $x$ and $y$, and give it as a single fraction.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substitute the values to get $\pi(6.2)^2+\pi(6.2)(10.8)$.

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