Welcome to your Practice Test

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11
Which of the following lines represent the solution of the inequality 7x < 9x - 4?

If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y?

If P = {y : 2y > 6} and Q = {y : y – 3 < 4}, where is an integer, find P∩Q

A. {3,4}
B. {3,7}
C. {3,4,5,6,7}
D. {4,5,6}
Factorise completely:  32x2y - 48x3y3

A. 16x2y (2 - 3xy2)
B. 8xy (4x - 6x2y2)
C. 8x2y (4 - 6xy2)
D. 16xy (2x - 3x2y2)
33


A. 3
B. 2
C. 1
D. 0
34
14
35
The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation.

A. 12n – 6 = 0
B. 3n – 12 = 0
C. 2n – 35 = 0
D. 5n – 33 = 0
11
If x + y = 2y - x + 1 = 5, find the value of x.

A. 3
B. 2
C. 1
D. -1
Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - P = 2 , find x

A. -2
B. -1
C. 1
D. 2
Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)M, find M

A. (x + 2)2
B. x(x + 2)
C. x2 + 2
D. x2 + x


A. 5
B. 4
C. 3
D. 1
10
The graph of the relation y = x2 + 2x + k passes through the point (2,0). Find the value of k.

A. 0
B. -2
C. -4
D. -8
41
9


A. 6(1 - 3k2)
B.  6(3k2 - 1)
C.  6(3k - 1)
D. 6(1 - 3k)
10
Find the value of k in the equation 6k2 = 5k + 6.

If y varies directly as the square root of (x+1) and y = 6 when x = 3, find x when y = 9.

A. 8
B. 7
C. 6
D. 5
The curved surface area of a cylindrical tin is 704cm3. If the radius of its base is 8cm, find the height. [Take π = 22/7 ]

A. 14 cm
B. 9 cm
C. 8 cm
D. 7 cm
The slant height of a cone is 5cm and the radius of it base is 3cm. Find, correct to the nearest whole number, the volume of the cone. [Take π = 22/7 ].

A. 48cm3
B. 47cm3
C. 38cm3
D. 13cm3


In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y.

A. 130o
B. 120o
C. 110o
D. 100o
A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume.

A. 344m3
B. 448m3
C. 632m3
D. 840m3
20p
In the diagram, O is the center of the circle PQRS and angle PSR = 86o. If angle POR = xo, find x.

A. 274
B. 172
C. 129
D. 86
A sector of a circle which subtends angle 172o at the center of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = 22/7].

A. 120 cm
B. 116 cm
C. 107 cm
D. 100 cm
23p
In the diagram, MN, PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true?

I. t = y
II. x + y + z + m = 180o
III. x + m + n = 180o
IV. x + n = m + z

A. I and IV only
B. II only
C. III only
D. IV only
The sum of the interior angles of a regular polygon is 1800o. How many sides has the polygon?

A. 16
B. 12
C. 10
D. 8
If cos (x + 40o) = 0.0872, what is the value of x?

A. 85o
B. 75o
C. 65o
D. 45o


In the diagram, PRST is a square. If |PQ| = 24cm, |QR| = 10cm and angle PQR = 90o; find the perimeter of the polygon PQRST

A. 112cm
B. 98cm
C. 86cm
D. 84cm
In the diagram,

18p
|QR| = 10 m, |SR| = 8 m, angle QPS = 30o, angle QRP = 90o  and |PS| = x. Find x.

A. 1.32 m
B. 6.32m
C. 9.32 m
D. 17.32 m
An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A. 15
B. 12
C. 9
D. 6
An open cone with base radius 28cm and perpendicular height 96cm was stretched to form a sector of a circle. Calculate the area of the sector. [Take π = 22/7 ]

A. 8800cm3
B. 8448cm3
C. 4400cm3
D. 4224cm3
The lengths of the minor and major arcs of a circle are 54 cm and 126 cm respectively. Calculate the angle of the major sector.

A. 306o
B. 252o
C. 246o
D. 234o
42p
The diagram is a circle of radius |OQ| = 4cm. TR is a tangent to the circle at R. If angle TPO = 120o, find |PQ|.

A. 2.32cm
B. 1.84cm
C. 0.62cm
D. 0.26cm
The pie chart shows the distribution of 600 Mathematics textbooks for Arts, Business, Science and Technical classes.



What percentage of the total number of textbooks belongs to science?

44p
In the diagram, |SR|=|QR|, angle SRP = 65o and angle RPQ = 48o, find angle PRQ

A. 65o
B. 45o
C. 25o
D. 19o
In ΔXYZ, |XY| = 8cm, |YZ| =10cm and |XZ| = 6cm. Which of these relations is true?

A. |XY| + |YZ| = |XZ|
B. |XY| - |YZ| = |XZ|
C. |XZ|2 = |YZ|2 - |XY|2
D. |YZ|2 = |XZ|2 - |XY|2
21p
The diagram is a circle center O. If angle SPR = 2m and angle SQR = n, express m in terms of n.

A.  m = n/2
B.  m = 2n
C.  m = n - 2
D. m = n + 2
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