NECO SSCE - General Mathematics - 2004

The roots of a quadratic equation in x, are -m and 2n. Fine equation.

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Evaluate (Log₁₃ - log₅) ÷ X(log₅-log₁₃) without using tables

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Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form

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The nth term of a sequence is given as 4 x 3(3 - n). Calculate the third term.

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A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

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The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus

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A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?

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If log₁₀² = 0.3010 and log₁₀³ = 0.4771, simplify: (Log₁₀⁸-log₉²) ÷ (Log₁₀⁹ - log₁₀²)

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Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{5}\))

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The bearing of Y from X is 0850. What is the bearing of X from Y?

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If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

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The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

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If y varies inversely as x², how does x vary with y?

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The angle subtended by a diameter of a circle at the circumference is a/an

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Express the quotient of 0.422 and 0.004 in standard form

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Solve the equation: \(\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0\)

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What must be added to b²-3ab to make it a perfect square?

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The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

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Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

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Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides

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A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man

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Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

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A car travels at an average speed of 75km/h. Find its speed in metres per second.

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Find x if (x - 2)² = 1\(\frac{7}{9}\)

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A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?

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One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

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Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

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Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

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Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

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The expression 4x² - 4 has the following as its factors EXCEPT

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If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

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Express the product of 0.007 and 0.057 to two significant figures

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If the mean of the following set of data, 2, 3,3,3, 2,4 4 and 3 is divided by its mode, the result is:

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Simplify (216\(\frac{1}{3}\))^-2

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Evaluate ut - \(\frac{1}{2}\)ft² when t = 5, u = -20 and f = 10

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