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Given that x = 2 and y = 1/4 evaluate (x^2 y -2xy )/5 A. 0 B. 1/5 C. 1 D. 2 Factorize 5y2 + 2ay – 3a2. A. (a – y)(5y – 3a) B. (y – a)(5y – 3a) C. (y – a)(5y + 3a) D. (y +a)(5y-3a) If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x? A. 3 B. 6 C. 9 D. 12 If p = 3/5 √(q/r,) express q in terms of p and r. A. 9/〖25〗^pr2 B. 9/〖25p〗^2r C. 9/〖9 p 〗^2r D. 25/9^pr2 Simplify: (〖2x〗^2 - 5x - 12)/(〖4x〗^2- 9) A. (x + 4 )/(2x + 3) B. (x + 4 )/(2x - 3) C. (x - 4 )/(2x +3) D. (x - 4 )/(2x-3) In the diagram, < QPR = 900. If q2 = 25 – r2, find the value of p. 3 4 5 6 POR is a sector of a circle centre O, radius 4 cm. if POR = 300, find, correct to 3 significant figures, the area of sector POR. A. 4.19 cm2 B. 8.38 cm2 C. 10.5 cm2 D. 20.9 cm2 [Take π 22/7] If the volume of a cube is 343 cm3, find the length of its side. A. 3 cm B. 6 cm C. 7 cm D. 8 cm In the diagram, PQRS is a rhombus. /PR/ = 10 cm and /QS/ = 24 cm. calculate the perimeter of the rhombus. A. 34 cm B. 52 cm C. 56 cm d. 96 cm. In the diagram, /PQ/ = /QR/ and /RS/ = /SP/. Calculate the size of < QRS. 1500 1200 900 600

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In the figure shown, PQS is a straight line. What is the value of < PRQ? In the diagram, PQ // RS, QU // PT and < PSR = 420. Find angle x. A. 840 B. 480 C. 420 D. 320 The angles of a quadrilateral are (x + 100), 2y0, 900 and (100 – y)0. Find y in terms of x. A. y = 160 + x B. y = 100 + x C. y = 160 – x D. y = x – 100 In the figure /PX/ = /XQ/, PQ // YZ and XY // QR. What is the ratio of the area of XYZQ to the area of ∆YZR? A. 1:2 B. 2:1 C. 1:3 D. 3:1 In the diagram, O is the centre of the circle and PQRS is a cyclic quadrilateral. Find the value of x. A. 250 B. 650 C. 1150 D. 1300 If x0 is obtuse, which of the following is true? A. x > 90 B. 180 < x 270 C. x < 90 D. 90 < x < 180 If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form. A. 2√2 B. 1/2 √2 C. √2 D. 2 If cos (x + 25)0 = sin 450, find the value of x. A. 20 B. 30 C. 45 D. 60 The graph below shows the rainfall pattern of a town in a year. What is the average monthly rainfall? A. 2.70 cm B. 2.71 cm C. 2.72 cm D. 2.78 cm If 2n = 128, find the value of (2n-1)(5n-2) A. 5 (106) B. 2 (106) C. 5 (105) D. 2 (105).

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If x ∝ (45 + 1/2 y), which of the following is true? A. x varies directly as y B. x varies inversely as y C. x is partly constant and partly varies as y D. x varies jointly as 45 and directly as y Simplify: (log √8)/(log4-log⁡〖2.〗 ) A. 2/3 B. 1/2 log2 C. 3/2 D. log2. Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office? A. 25 B. 30 C. 35 D. 45. A train travels 60 km in M minutes. If its average speed is 400 km per hour, find the value of M. A. 15 B. 12 C. 10 D. 9 An arc of circle, radius 14 cm, is 18.33 cm long. Calculate, correct to the neaerest degree, the angle which the arc subtends as the centre of the circle. [Take π = 22/7] A. 110 B. 200 C. 220 D. 750 What is the length of an edge of a cube whose total surface area is X cm2 and whose volume is x/2 cm3. A. 3 B. 6 C. 9 D. 12. XY is a chord of circle center O and radius 7 cm. the chord XY which is 8 cm long subtends an angle of 1200 at the centre of the circle. Calculate the perimeter of the minor segment. A. 14.67 cm B. 22.67 cm C. 29.33 cm D. 37.33 cm If the perimeter of ∆PQR in the diagram is 24 cm, what is the area of ∆PRS? 19.5 cm2 15.0 cm2 13.0 cm2 9.3 cm2 If p = 1/2 and 1/(p-1) = 2/(p +x), find the value of x. – 21/2 B. – 11/2 C. 11/2 D. 21/2 Find the quadratic equation whose roots are c and – c A. x2 + c2 = 0 B. x2 – c2 = 0 C. x2 + 2cx + c2 D. x2 – 2cx + c2 = 0

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