A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
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(E)
0.1%
7
Find the 9th term of the arithmetic progression 18, 12, 6, 0, -6 .........
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(B)
-30
8
Expand (2x - 5)(x - 3)
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(B)
2x2 - 11x + 15
9
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
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(A)
9/x - y
10
If 3p - q = 6 and 2p + 3q = 4, find q
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(A)
o
11
M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p.
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(D)
M = 3n/2p2
12
If x is a real number which of the following is more illustrated on the number line?
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(E)
-2 ≤ x < 4
13
Solve the equation
4/a
+
1/5a
= 3
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(B)
12/5
14
Make p the subject if formula y =
a + p/a - p
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(C)
a(y -1)/y + 1
= p
15
Factorize 32x3 - 8xy2
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(D)
8x(2x + y)(2x - y)
16
The roots of a quadratic equation are -1/4 and 3. The quadratic equation is
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(B)
4x2 - 11x - 3 = 0
17
The graph of 2y = 5x2 - 3x2 - 2 cuts the y axis at the point
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(C)
(0, -1)
18
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60o
Use the information to answer the question below [Take π = 22/7]
What is the length of the arc PXQ?
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(C)
\(\frac{11}{3}\)cm
19
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?
[Take π = 22/7].
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(D)
65/12cm2
20
If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?
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(D)
√2
21
Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]
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(D)
226.2cm3
22
One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?
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(B)
48cm2
23
two towns X and Y both on latitude 60oS have longitude 27oE and 33oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 104km, where R is the Radius of the earth]
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(E)
3333km
24
The angle of a sector of a circle of radius 35cm is 288o. Find the perimeter of the sector. [Take π = 22/7]
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(A)
246cm
25
How many sides has a polygon if the sum of its interior angle is 1440o?
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(E)
10
26
Each interior angle of a regular nonagon(nine sided polygon) is equal to
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(C)
140o
27
In the diagram above, find x correct to the nearest degree
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(C)
26o
28
In the diagram above, TRQ is a straight line. Find p, if p = \(\frac{1}{3}\)(a + b + c)
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(A)
45o
29
Which of the following is not true? You may construct a
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(D)
quatrilateral given all the four sides
30
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT
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(C)
40o
31
In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP
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(E)
I, II and III
32
In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/
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(A)
1cm
33
In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?
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(C)
66o
34
In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55o and ∠KML = 40o. Find ∠LKM
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(C)
45o
35
In the diagram above, ∠SPQ = 79o. Find ∠SRQ
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(E)
101o
36
Two angles (a + 31) and (b - 49o) are adjacent angles on a straight line. Which of the following is true
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(A)
a + b = 198o
37
The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR
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(D)
90o
38
In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX
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(B)
80o
39
If sin\(\theta\) cos\(\theta\), for 0o \(\leq\) θ \(\leq\) 360o, find the value of \(\theta\)
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(A)
45o, 225o
40
If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90o
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(D)
12/13
41
A town P is 150km from a town Q in the direction 050o. What is the bearing of Q from P?
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(C)
230o
42
The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60o. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.
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(C)
55√3m
43
The number of goals scored by a football team in 20 matches is shown in the table above
What is the mean goal scored?
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(B)
1.75
44
The number of goals scored by a football team in 20 matches is shown in the table above
What is the modal goal scored?
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(C)
2
45
The cumulative frequency curve may be used to find the
