NECO SSCE - General Mathematics - 2004

Find x if (x - 2)² = 1\(\frac{7}{9}\)

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

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?

Express the quotient of 0.422 and 0.004 in standard form

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

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

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

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

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

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

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

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

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?

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

Express the product of 0.007 and 0.057 to two significant figures

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

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

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?

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

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

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?

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

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

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

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

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

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

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

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

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

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?

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:

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

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