(a) Solve the inequality : \(4 + \frac{3}{4}(x + 2) \leq \frac{3}{8}x + 1\)

(b) 

The diagram shows a rectangle PQRS from which a square of side x cm has been cut. If the area of the shaded portion is 484\(cm^{2}\), find the values of x.

(a) The ratio of the interior angle to the exterior angle of a regular polygon is 5 : 2, Find the number of sides of the polygon.

(b) SEE FIGURE ABOVE

The diagram shows a circle PQRS with centre O, < UQR = 68°, < TPS = 74° and < QSR = 40°. Calculate the value of < PRS.

(a) By how much is the sum of \(3\frac{2}{3}\) and \(2\frac{1}{5}\) less than 7?

(b) The height, h m, of a dock above sea level is given by \(h = 6 + 4\cos (15p)°, 0 < p < 6\). Find :

(i) the value of h when p = 4 ; (ii) correct to two significant figures, the value of p when h = 9 m.

A trapezium PQRS is such that PQ // RS and the perpendicular P to RS is 40 cm. If |PQ| = 20 cm, |SP| = 50 cm and |SR| = 60 cm. Calculate, correct to 2 significant figures, the

(a) Area of the trapezium ; (b) < QRS.

(a) (i) Illustrate the following statements in a Venn diagram : All good Literature students in a school are in the General Arts class. 

(ii) Use ths diagram to determine whether or not the following are valid conclusions from the given statement.

(1) Vivian is in the General Arts class therefore she is a good Literature student.

(2) Audu is not a good Literature student therefore he is not in the General Arts class;

(3) Kweku is not in the General Arts class therefore he is not a good Literature student.

(b) The cost (c) of producing n bricks is the sum of a fixed amount, h, and a variable amount, y, where y varies directly as n. If it costs GH¢950.00 to produce 600 bricks and GH¢ 1,030.00 to produce 1000 bricks,

(i) Find the relationship between c, h and n ; (ii) Calculate the cost of producing 500 bricks.