NECO SSCE - General Mathematics - 2008

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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Simplify the expression:  \(Log_{4}16\) +  \(Log_{3}27\) + \(Log_{8}4096\) 

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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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Given that x² + y² + k = 60 and x = \(\sqrt{10}\) when y = 4 , find the value of k.

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x2 ${}^2$ + y2 ${}^2$ + k = 60

(?10)2 ${}^2$ + (4)2 ${}^2$ + k = 60

k + 10 + 16 = 60

k =  60 - 26

k = 34

If 5x - 3 = 4x - 7, what is the value 6x?

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If y + \(\frac{1}{y}\) = 9, evaluate y² + \(\frac{1}{y^2}\)

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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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Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))

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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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Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)

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Find the value of log\(_{\sqrt{3}}\) 81

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2 bags of sugar at N_x per bag are mixed with 3 bags of sugar at N_y per bag. What is the cost in N of the mixture per bag?

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Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number

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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.

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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.

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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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The median of a distribution can be estimated from

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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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Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

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Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

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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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P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are

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In proving the congruence of two triangles, which of the following is not important?

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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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Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

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A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?

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Find y if sin y = cos 48°

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The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes

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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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T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)

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Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°

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Which of the following angular inequalities defines an obtuse angle?

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A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?

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If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula

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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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Increase 135 in the ratio 3:5

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The graph of cumulative frequency distribution is known as

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Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7

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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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