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Find the missing numerator $\frac{5}{x + 1}$ - $\frac{3}{1 - x}$ - $\frac{7x-1}{x^{2}-1}$  =  $\frac{}{x + 1}$

A. -1     B. $\frac{1}{x + 1}$     C. $\frac{3(2-5x)}{x - 1}$     D. 3(1 - 5x)

Evaluate without using tables sin(-1290o)

A. $\frac{\sqrt{3}}{2}$     B. $\frac{\sqrt{2}}{2}$     C. $\frac{\sqrt{2}}{3}$     D. $\frac{1}{2}$

Find the square root of 170 - 20 $\sqrt{3}$

A. $2\sqrt{10}&space;-&space;5\sqrt{3}$      B. $3\sqrt{5}&space;-&space;8\sqrt{6}$     C. $2\sqrt{5}&space;-&space;5\sqrt{6}$      D. $5\sqrt{5}&space;-&space;2\sqrt{6}$

If the value of π is taken as  $\frac{22}{7}$  the area of a semicircle of diameter 42 m is _______

A. 5544 m2     B. 693 m2     C. 132 m2     D. 264 m2

The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal is ______

A. 1.0622     B. 10.6225     C. 0.1328     D. 0.3218

In this figure, PQRS is a parallelogram, PS = PT and ∠PST = 55o . The size of ∠PQR is _____

A. 105o     B. 120o     C. 115o.     D. 110o

If sec2θ + tan2θ = 3, then the angle θ is equal to ______

A. 30o      B. 45o       C. 60o        D. 90o

The sum of the root of a quadratic equation is $\frac{5}{2}$ and the product of its roots is 4. The quadratic equation is

A. 2x2 + 5x + 8 = 0     B. 2x2 -5x + 8 = 0     C. 2x2 -8x + 5 = 0     D.2x2 + 8x - 5 = 0

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6

A.  $\frac{5}{6}$      B. 11      C.  $3\frac{3}{5}$      D. $2\frac{1}{2}$

A pentagon has four of its angles equal. If the size of the fifth angle is 60o, find the size of each of the four equal angles.

A. 60o    B. 108o    C. 120o    D. 150o

Solve the equation for all positive values of θ less than 360o, 3 tan θ + 2 = -1

A. 135o or 315o     B. 45o or 135o     C. 315o or 45o     D. 315o or 180o

If it is given that 5x+1 + 5x = 150 then the value of x is equal to

A. 3     B. 4     C. 1     D. 2

Arrange $\frac{3}{5}$$\frac{9}{16}$$\frac{34}{59}$  and  $\frac{71}{97}$  in ascending order of magnitude.

A. $\frac{3}{5}$$\frac{9}{16}$$\frac{34}{59}$$\frac{71}{97}$      B. $\frac{9}{16}$$\frac{3}{5}$$\frac{71}{97}$$\frac{34}{59}$      C. $\frac{9}{16}$$\frac{34}{59}$$\frac{3}{5}$$\frac{71}{97}$      D. $\frac{34}{59}$$\frac{71}{97}$$\frac{3}{5}$$\frac{9}{16}$

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2 : 5, in what ratio is the surface area reduced?

A. 8 : 125    B. 2 : 5     C. 8 : 25    D. 4 : 25

An isosceles triangle of sides 13 cm, 13 cm, 10 cm is inscribed in a circle. What is the radius of the circle?

A. $7\frac{1}{24}$  cm     B. 13 cm     C. 8 cm     D. 7 cm

In the figure below, PQIISR, STIIRQ, PS = 7cm, PT = 7cm, SR 4cm,
Find the ratio of the area of QRST to the area of PQRS.

A. 56:77     B. 56:105     C. 28:52.5     D. 28:49

If b = a + cp and r = ab + $\frac{1}{2}$ cp2, express b2 in terms of a, c, r.

A. b2 = 2cr - a2     B. b2 = 2a + 2c2r     C. b2 = a2 + $\frac{1}{2}$cr2     D. b2 = $\frac{1}{2}$ar2 + c

Write the decimal number 39 to base 2

A. 100111    B. 110111    C. 111001    D. 100101    E. 19.5.

In ΔXYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW ?

A. 1.5 cm     B. 2.5 cm     C. 3 cm     D. 4 cm

In the figure above, PS = SR and RX is a tangent to the circle at R, ∠QRX is equal to 72o. Find ∠SPR

A. 20o      B. 36o     C. 72o     D. 30o

List all integer values of x satisfying the inequality - 1 < 2x - 5 ≤ 5

A. 2, 3, 4, 5    B. 2, 5    C. 3, 4, 5    D. 2, 3, 4

A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items then the sector representing this group on the pie chart contains an angle xo at the centre of the circle where x is

A. 36     B. 60     C. 70     D. 72

Find the solution of the equation x + 2$\sqrt{x}$ - 8 = 0

A. (4, 16)     B. (2, 4)     C. (4, 1)     D. (1, 16)

Find the area of the curved surface of a cone whose base radius is 6 cm and whose height is 5 cm. (Take π = $\frac{22}{7}$)

A. 188.57 cm2    B. 1320 cm2    C. 188 cm2    D. 188:08 cm2
If 3x - $\left&space;(\frac{1}{4}&space;\right&space;)^{-\frac{1}{2}}$$\frac{1}{4}$  -  x, then the interval of values of x is ______

A. x >$\frac{1}{3}$     B. x < $\frac{1}{3}$     C. x < $\frac{1}{4}$     D. x > $\frac{9}{16}$

Find the product of (2$\sqrt{y}$ - 3y) and (3y + 2$\sqrt{y}$)

A. 4y + y2      B. 4y + 9y2     C. 4y - 9y2        D. -4y - 9y2

In the figure above, FGHJ is a circle of radius 3 cm centre O. FOH, GOJ are perpendicular diameters. With G as centre, an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

A. $3\pi&space;\left&space;(&space;\sqrt{2}-1&space;\right&space;)$ cm     B. $3\pi&space;\left&space;(1&space;+&space;\frac{\sqrt{2}}{2}&space;\right&space;)$ cm     C. $3\pi&space;\left&space;(&space;1+\sqrt{2}&space;\right&space;)$ cm     D. 9π cm

A canal has rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1gm cm-3 flows through it at a constant speed of 1000 mm per minute, the adjacent sea is _______

A 100 000     B. 1000 000     C. 120 000     D. 30 000

If log2 y = 3 - Iog2 x½ , find y when x = 4

A. 8     B. $\sqrt{65}$     C. $4\sqrt{2}$     D. 1

What is the area between two concentric circles of diameters 26 cm and 20 cm ?

A. 100 π    B. 169 π    C. 69 π    D. 9 π

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1km/hr she can save 20 minutes. Find her usual speed in km/hr.

A.  1$\frac{2}{3}$    B. 2    C. 5    D. 6

The number 25 when converted from the tens and units base to the binary base (base two) is one of the following

A. 10011     B. 111011     C. 111000     D. 11001 .

Find correct to three significant figures, the value of $\left&space;(\sqrt{41830}&space;\right&space;)$

A. 205     B. 647     C. 2050     D. 6470

Which of the values of the variable x, (a) x = 0, (b) x = -3, (c) x = 9, satisfy the inequalities

0 < $\frac{x+3}{x-1}$ ≤ - 2

A. (a), (b), (c)      B. (b), (c) only     C. (C) only      D. None of (a), (b), (c)

Evaluate correct to 4 decimal places 827.51 x 0.015

A. 8.8415    B. 12.4127    C. 124.1265    D. 12.4120

What is the number whose logarithm to base 10 is 2.3482?

A. 223.6     B. 0.228     C. 0.02229    D. 22.37

Given that a*b = ab +a + b and that a o b = a + b + 1, find an expression (not involving * or o) for (a * b) o (a * c) if a, b, a, are real numbers and the operations on the right are ordinary addition and multiplication of numbers.

A. ac + ab + bc + b + c + 1
B. ac + ab + a + c + 2
C. ab + ac + a + b + 1
D. ab + ac + 2a + b + c + 1

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