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Question 1 Rapport
Question 2 Rapport
If m = 4, n = 9 and r = 16., evaluate \(\frac{m}{n}\) - 1\(\frac{7}{9}\) + \(\frac{n}{r}\)
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Question 3 Rapport
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Question 4 Rapport
Question 5 Rapport
The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.
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Question 6 Rapport
In the diagram, O is the centre. If PQ//RS and ∠ONS = 140°, find the size of ∠POM.
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Question 7 Rapport
A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.075 to N1.00, how much did the engine cost in Naira?
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Question 8 Rapport
In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and <TOS = 76\(^o\). Using the diagram, calculate the value of angle PTR.
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Question 10 Rapport
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Question 11 Rapport
In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.
Question 12 Rapport
Question 13 Rapport
Question 14 Rapport
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Question 15 Rapport
Question 16 Rapport
In the diagram, the shaded part is carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find area of the margin
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Question 17 Rapport
The area of a rhombus is 110 cm\(^2\). If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.
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Question 18 Rapport
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Question 19 Rapport
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Question 20 Rapport
In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the size of angle PRS.
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Question 21 Rapport
If a quadratic equation has roots p and q, then it can be expressed in the factored form as:
(x - p)(x - q) = 0
Expanding this equation, we get:
x2 - (p + q)x + pq = 0
In this case, the roots are given as \(\frac{3}{4}\) and -4. Thus, the equation can be expressed as:
(x - \(\frac{3}{4}\))(x + 4) = 0
Expanding this equation, we get:
x2 + (4 - \(\frac{3}{4}\))x - 3 = 0
Multiplying throughout by 4 to eliminate fractions, we get:
4x2 + 13x - 12 = 0
Therefore, the equation whose roots are \(\frac{3}{4}\) and -4 is 4x2 + 13x - 12 = 0.
Hence, the answer is 4x2 + 13x - 12 = 0.
Question 22 Rapport
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Question 24 Rapport
Describe the shaded portion in the diagram
Question 25 Rapport
If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)
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Question 26 Rapport
\(\begin{array}{c|c}
Scores & 0 - 4 & 5 - 9 & 10 - 14\\
\hline Frequency & 2 & 1 & 2\end{array}\)
The table shows the distribution of the scores of some students in a test. Calculate the mean scores.
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Question 28 Rapport
In the diagram, \(\bar{OX}\) bisects < YXZ and \(\bar{OZ}\) bisects < YZX. If < XYZ = 68o, calculate the value of < XOZ
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Question 29 Rapport
Question 30 Rapport
Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)
Question 31 Rapport
Question 32 Rapport
Question 33 Rapport
In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN
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Question 34 Rapport
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Question 35 Rapport
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Question 36 Rapport
\(\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 3 & 5\frac{1}{2} & &
\end{array}\)
The table given shows some values for a linear graph. Find the gradient of the line
Question 37 Rapport
Question 39 Rapport
In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|
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Question 40 Rapport
Question 41 Rapport
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Question 42 Rapport
Question 43 Rapport
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Question 44 Rapport
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Question 45 Rapport
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