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Question 1 Report
Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\)
Question 2 Report
The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?
Question 3 Report
A man bought wrist watch for N150 but was only able to sell it for N120. Find the loss per cent on the transaction
Question 4 Report
A side of a rhombus is 2cm in length. An angle of the rhombus is 60o. What is the length of the diagonal facing this angle?
Question 5 Report
PQRS is a parallelogram with area 50 square cm and the side PQ is 10cm long. T is a point on RS and TF is the altitude of the triangle TPQ. Find TF
Question 6 Report
In the figure, QRST is a rectangle; PT// QM, angle P = 60o. Find angle MUR
Question 7 Report
Simplify \(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
Question 8 Report
The diagram is the distance time graph of a vehicle. Find its average speed in kilometers per hour during the journey
Question 9 Report
If K is a constant, which of the following equations best describes the parabola?
Question 10 Report
Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms
Question 11 Report
Express 37.05 x 0.0042 in standard form
Question 12 Report
The area of the curved surface of the cone generated by the sector of a circle radius 6cm and are length 22cm is (\(\pi\) = \(\frac{22}{7}\))
Question 13 Report
The solution to the quadratic equation 5 + 3x - 2x2 = 0 is
Question 14 Report
Find the median of the set set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113
Question 15 Report
In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR = 52o. Find the angle marked m
Question 16 Report
Determine the mean monthly salary of 50 employees of a company from the following frequency distribution.
\(\begin{array}{c|c} \text{Monthly salary} & \text{Frequency}\\\hline N200.00 & 10\\ N325.00 & 5\\N100.00 & 20\\N120.00 & 2\\ N60.00 & 10\\ N80.00 & 3\end{array}\)
Question 17 Report
If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)
Question 19 Report
Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)
Question 20 Report
Two distinct sectors i the same circle substend 100o and 30o respectively at the centre of the circle. Their corresponding arcs are in ratio
Question 21 Report
The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is
Question 22 Report
If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?
Question 24 Report
Find \(\alpha\) and \(\beta\) such that x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{y^{\alpha}}{y^{\beta}}\)
Question 25 Report
A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.
Question 26 Report
If f(x - 2) = 3x2 + 4x + 1. Find the area of the sector
Question 27 Report
In the diagram, angle QPR = 90o, angle PSR = 90o and PR = 5 units. Find the length of QS.
Question 28 Report
The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are
Question 29 Report
A variable y is inversely proportional to x2, when y = 10, x = 2. What is y when x = 10?
Question 30 Report
TP and TQ are tangents to a circle centre 0 and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45o, what is the magnitude of the angle PRO?
Question 31 Report
The solution of the quadratic equation bx2 + cx + a = 0 is given by
Question 32 Report
Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?
Question 33 Report
A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60o to the vertical?
Question 34 Report
In a regular polygon of n sides, each interior angle is 144o. Find n
Question 35 Report
Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)
Question 36 Report
Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\), find p:r
Question 37 Report
The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves
Question 38 Report
What is the least possible value of \(\frac{9}{1 + 2x^2}\) if 0 \(\geq\) x \(\geq\) 2?
Question 39 Report
A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participant is
Question 40 Report
The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement?
Question 41 Report
Solve for x, If \(\frac{\frac{2}{x}}{\frac{p^2 + p^2}{p^2 + p^2}}\) = m
Question 42 Report
Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are
Question 43 Report
If \(\frac{3e + f}{3f - e}\) = \(\frac{2}{5}\), find the value of \(\frac{e + 3f}{f - 3e}\)
Question 45 Report
The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is
Question 46 Report
A housewife bought 3 kilograms of garri at N13.00 per kg. She deposited N160. 00 for half a cow and bought 24 oranges at 10k each. She came back home with N20.60. She therefore left home with
Question 47 Report
Simplify f\(\frac{1}{2}\)g2h\(\frac{1}{2}\) \(\div\) f\(\frac{5}{2}\)goh\(\frac{7}{3}\)
Question 48 Report
The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?
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