**Question 3 (a)**:

Match the correct answer.

**Solution**:**Question 3 (b)**:

(i) On Diagram 3.1, trapezium

*A’B’C’D’*is the image of trapezium

*ABCD*under an enlargement.

(a) Mark the centre of an enlargement on Diagram 3.1.

(b) State the scale factor.

(ii) Diagram 3.2 shows a triangle

*OAB*drawn on a square grid.

On Diagram 3.2, draw the image of

*OAB*under an enlargement with centre

*O*and scale factor 2.

**Solution**:**(i)(a)**

**(i)(b)**

$\begin{array}{l}\text{Scalefactor}\\ =\frac{A\u2018D\u2018}{AD}\\ =\frac{4}{8}\\ =\frac{1}{2}\end{array}$

**(ii)**

**Question 3 (c)**:

A number of marbles are distributed among Alice, Bella and Christine. Alice received two times of Christine’s marbles. Christine received three times of Bella’s marbles.

If Christine received 12 marbles, find the ratio of marbles received by Alice to Bella to Christine.

**Solution**:$\begin{array}{l}\text{NumberofmarblesreceivedbyChristine}=12\\ \text{NumberofmarblesreceivedbyAlice}=12\times 2=24\\ \text{NumberofmarblesreceivedbyBella}=12\xf73=4\\ \\ \text{Ratio}=Alice:Bella:Christine\\ =24:4:12\\ =\frac{24}{4}:\frac{4}{4}:\frac{12}{4}\\ =6:1:3\end{array}$