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Question 1 Report
If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).
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Question 2 Report
If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.
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Question 3 Report
Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°
Question 8 Report
The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes
Question 9 Report
Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?
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Question 10 Report
Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)
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Question 12 Report
Simplify the expression: \(Log_{4}16\) + \(Log_{3}27\) + \(Log_{8}4096\)
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Question 13 Report
T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)
Question 16 Report
The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone
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Question 17 Report
Given that x2 + y2 + k = 60 and x = \(\sqrt{10}\) when y = 4 , find the value of k.
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x2 + y2 + k = 60
(?10)2 + (4)2 + k = 60
k + 10 + 16 = 60
k = 60 - 26
k = 34
Question 18 Report
If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula
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Question 20 Report
The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test?
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Question 21 Report
The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.
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Question 22 Report
Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
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Question 23 Report
A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?
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Question 25 Report
In proving the congruence of two triangles, which of the following is not important?
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Question 26 Report
which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.
Question 27 Report
2 bags of sugar at Nx per bag are mixed with 3 bags of sugar at Ny per bag. What is the cost in N of the mixture per bag?
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Question 28 Report
A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?
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Question 29 Report
If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?
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Question 30 Report
A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))
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Question 31 Report
Which of the following angular inequalities defines an obtuse angle?
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Question 33 Report
Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number
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Question 35 Report
x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?
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Question 36 Report
The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?
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Question 37 Report
Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.
Question 38 Report
A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?
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Question 39 Report
Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7
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