NECO SSCE - General Mathematics - 2001

Convert 101.011₂ to base 10

The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)

Two fair coins are tossed at the same time. what is the probability of getting a head?

The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.

The bearing of a point Y from point x is 150°. What is the bearing of X from Y?

A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?

From the kip of a storey-buliding, the angle of depression of a mango on a tree 20 m away from the base of the storey-building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey-building to the nearest metre?

The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys?

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)

Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

Simplify \(\sqrt{6a} \times \sqrt{576a^6}\)

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

If s = \(\sqrt{(\frac{a^2}{x^2} - \frac{b^2}{y^2})}\)what does y equal?

Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2

If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k

The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?

Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour

Solve the equation x² - 3x - 10 = 0

If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

If the volume of a cube is (8 x 103)cm\(^3\), what is the surface area the cube?

Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square

If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x

Find the value of x in the equation: 9x = 729

Mr Aborowa bought a car for N200,000.00 and later sold it for N170,000.00. What is the percentage loss?

Find the 19th term of the A.P. \(\frac{5}{6}\), \(\frac{8}{6}\), \(\frac{11}{6}\).................

If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

Express 0.03785 in standard form correct to 3 significant figures.

If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ?

If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

Simplify 27\(^{-\frac{1}{3}}\) \(\times\) 64\(^{-\frac{1}{3}}\) \(\times\) 4\(^{\frac{1}{3}}\)