Mathematics 0580 · IGCSE · Equations

Equations — practice question

(a(i))[1]

Choose a marble at random from the bag, then replace it. Write down the probability that the marble is black.

(a(ii))[2]

How many black marbles did she put into the bag?

(b(i))[1]

The cost of 2 white marbles and 5 black marbles is 155 cents. Complete the equation $2w + 5b = \square$.

(b(ii))[1]

The cost of 3 white marbles and 10 black marbles is 290 cents. Write down an equation to show this information.

(b(iii))[3]

Solve your two equations to determine the value of $w$ and the value of $b$.

(c)[2]

Complete the statement concerning the value of $m$.

(d)[2]

On the grid, draw an accurate net of the smallest closed box that can hold a marble.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The probability is $\frac{6}{11}$.

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