Solutions to this question by accurate drawing will not be accepted. The diagram shows the quadrilateral ABCD in which A is the point (4, 2) and B is the point (–2, –10). The points C and D lie on the line x = 14. The diagonal AC is perpendicular to AB and passes through the mid-point, M, of the diagonal BD. Find the area of the quadrilateral ABCD.

The table shows values of variables x and y. ``` x | 1 | 3 | 6 | 10 | 14 y | 2.5 | 4.5 | 0 | -20 | -56 ```

The point P lies on the line joining A(−1, –5) and B(11, 13) such that AP = (1/3)AB.

The diagram shows a trapezium ABCD with vertices A(11, 4), B(7, 7), C(–3, 2) and D. The side AD is parallel to BC and...

The coefficient of x³ in the expansion of (2 + ax)⁵ is 10 times the coefficient of x in the expansion of (1 + (ax/3))...

The figure shows the graph of y= k+ m sin px for 0 ≤ x ≤ π, where k, m and p are positive constants. [Figure 3.1]

You must not use a calculator in Question 4. In the triangle ABC, angle B = 90°, AB = 4+ 2√2 and BC = 1 + √2 .