NECO SSCE - General Mathematics - 2004

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

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

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

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

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?

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

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?

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:

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

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

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?

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

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

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?

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

Express the quotient of 0.422 and 0.004 in standard form

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

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

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

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

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?

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

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

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

Find x if (x - 2)² = 1\(\frac{7}{9}\)

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

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

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

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

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

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

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

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?

Express the product of 0.007 and 0.057 to two significant figures

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