NECO SSCE - General Mathematics - 2001

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?

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)

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

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

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

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?

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

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

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

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

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)

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

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 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?

Convert 101.011₂ to base 10

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

Express 0.03785 in standard form correct to 3 significant figures.

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

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

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

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

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

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 ?

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

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)?

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

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

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?

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

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

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

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

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