Express, correct to three significant figures, 0.003597.

Solve:{y+1}/{2} -{2y-1}/{3} = 4

Simplify, correct to three significant figures, (27.63)² - (12.37)².

If 7 + y = 4 (mod 8), find the least value of y, 10 ≤ y ≤ 30.

If T= {prime numbers of µ} and M ={odd numbers subsets of µ} = {x : x < 10,and  x is an integer}, find        T' ∩M'.

If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P.), find the value of P.

Evaluate: 2√28 - 3√50 + √72

If m : n = 2 : 1, evaluate {3m² - 2n²}/{m² + mn}

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

Solve 4x² - 16x + 15 = 0

Evaluate (0.42 ÷ 2.5}/{0.5 x 2.05}, leaving the answer in standard form.

Bala sold an article for ₦6,900.00 and made a profit of 15%. Calculate his percentage profit if he had sold it for ₦6,600.00

If 3p = 4q and 9p = 8q - 12, find the value of pq.

If(0.25)ʸ = 32, find the value of y.

There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

Simplify: {x²- 5x - 14}/{x² - 9x + 14}

 Which of these values would make{3p - 1}/{p² - p} undefined?

The total surface area of a solid cylinder is 165cm². If the base diameter is 7cm, calculate its height. [Take π= 22/7].

If 2ª = √64  and b/a = 3, evaluate a² + b².

In ΔXYZ, |YZ| = 32 cm, <YXZ = 52º and <XZY = 90º. Find, correct to the nearest centimeter, |XZ|.

An arc subtends an angle of 72ºat the centre of a circle. Find the length of the arc if the radius of the circle is 3.5cm. [Takeπ = 22/7].

Make b the subject of the relation lb = 1/2(a+b)h.

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house?

Find the angle which an arc of length 22cm subtends at the centre of a circle of radius 15cm. [Take π = 22/7].

A rectangular board has length 15cm and width xcm. If its sides are doubled, find its new area.

In the diagram, POS and ROT are straight lines, OPQR is a parallelogram, |OS| = |OT| and < OST = 50º. Calculate the value of < OPQ.

Factorize completely: (2x + 2y)(x - y) + (2x - 2y)(x + y).

The interior angles of a polygon are 3xº, 2xº, 4xº, 3xº and 6xº. Find the size of the smallest angle of the polygon.

A box contains 2 white and 3 blue identical balls. if two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

Find the equation of a straight line passing through the point (1, -5) and having gradient of 3/4.

The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?

If tan x = 3/4, 0 < x < 90º, evaluate {cos x}/{2 sin x}

From the top of a vertical cliff 20m high, a boat at sea can be sighted 75m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

In the diagram above, O is the centre of the circle of radius 18cm. If < ZXY = 70º, calculate the length of arc ZY. [Take π= 22/7].

In the diagram above, RT is a tangent to the circle at R, <PQR= 70º, <QRT =52º, < QSR =  yº and <PRQ= xº.

Use the above diagram to answer question 40 and 41.

Find the value of yº

In the diagram above, RT is a tangent to the circle at R, <PQR= 70º, <QRT =52º, < QSR =  yº and <PRQ= xº.

Use the above diagram to answer question 40 and 41.

Calculate the value of xº.

Calculate the variance of 2, 4, 7, 8 and 9.

The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference.

In the diagram above, PQ is parallel to RS, <QFG= 105º and <FEG = 50º

use the diagram to answer question 44 and 45.

Find the value of mº.

In the diagram above, PQ is parallel to RS, <QFG= 105º and <FEG = 50º

use the diagram to answer question 44 and 45.

Find the value of nº.

A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

Use this information to answer questions 48 to 50

The following are scores obtained by some students in a test:

8, 18, 10, 14, 18, 11, 13, 14, 13, 17, 15, 8, 16, 13

Find the mode of the distribution.

Use this information to answer questions 48 to 50

The following are scores obtained by some students in a test:

8, 18, 10, 14, 18, 11, 13, 14, 13, 17, 15, 8, 16, 13

Find the median score.

Use this information to answer questions 48 to 50

The following are scores obtained by some students in a test:

8, 18, 10, 14, 18, 11, 13, 14, 13, 17, 15, 8, 16, 13

How many students scored above the mean score?