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IGCSE Mathematics Mock – Set 2 Paper 4-Updated 2026

IGCSE Mathematics Mock – Set 2 Paper 4- Updated 2026

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CIE iGCSE Mathematics Mock test – All Sets

Question 

(a) A is the point (3, 7) and B is the point (-1, 5).

(i) Find the coordinates of the midpoint of the line AB.

(ii) Write \( \overrightarrow{AB}\) as a column vector.

(iii) \( \overrightarrow{AC}\) = \( \overrightarrow{3BA}\). Find the coordinates of C.

(b) 

(i) Rotate shape P through 180° about the point (4, 1).

(ii) Reflect shape P in the line \(y = x + 2\).

(iii) Describe fully the single transformation that maps shape P onto shape Q.

▶️ Answer/Explanation
Solution

(a)(i) (1, 6)

Midpoint is average of x and y coordinates: ((3+(-1))/2, (7+5)/2) = (1, 6).

(a)(ii) \(\begin{pmatrix} -4 \\ -2 \end{pmatrix}\)

Subtract coordinates of A from B: (-1-3, 5-7) = (-4, -2).

(a)(iii) (15, 13)

BA is (4, 2). AC = 3BA = (12, 6). Add to A’s coordinates: (3+12, 7+6) = (15, 13).

(b)(i) Image at (4, 1), (5, -1), (7, -1), (7, 1)

Rotate each vertex 180° about (4,1) by changing signs of differences from center.

(b)(ii) Image at (1, 3), (-1, 3), (-1, 6), (1, 5)

Reflect each vertex in y = x + 2 by swapping x and y and adjusting for the line’s intercept.

(b)(iii) Enlargement with center (3, 3) and scale factor -½

Shape Q is half the size and inverted, so it’s a negative enlargement about the center point (3,3).

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