MATHEMATICS PAST QUESTIONS

A chord of length 6cm is drawn in a circle of radius 5 cm. Find the distance of the chord from the centre of the circle.

Solve the inequality 2x + 3 < 5x

A machine valued at N20, 000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

A chord of a circle of radius 26cm is 10cm from the centre of the circle. Calculate the length of the chord

A regular polygon has 9 sides. What is the size of one of its exterior angles?

If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z

The probability of an event P happening is 1/5 and that of event Q is ¼. If the events are independent, what is the probability that neither of them happens?

If the volume of a cube is 343cm cube, find the length of its side

A student bought 3 notebooks and 1 pen for N35. After misplacing these items. She again bought 2 notebooks and 2 pens, all of the same type for N30. What is the cost of a pen?

A fair coin is tossed three times. Find the probability of getting two heads and one tail.

Find the average of the first four prime numbers greater than 10

From a point P, R is 5km due west and 12km due south. Find the distance between P and R.

A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price?

Three men, Bedu, Bakre and Kofi shared N500 in the ratio 3:2:X respectively. If Bedu’s share is N150, find the value of x

A group of eleven people can speak either English or French or both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

Two solid spheres have volumes 250cm³ and 128cm³ respectively. Find the ratio of their radii

Find the mean deviation of 6, 7, 8, 9, 10

Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24

If the simple interest on a sum of money invested at 3% per annum for 2 ½ years is N123, find the principal

A sector of a circle radius 14cm subtends an angle 135 degree at the centre of the circle. What is the perimeter of the sector (take Pi = 22/7)

Tow numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y.

Ladi sold a car for N84, 000 at a loss of 4%. How much did Ladi buy the car?

The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests

Which of the following is not a factor of 2P² – 2?

If 30% of y is equal to x, what, in terms of x is 30% of 3y?

The area of a square field is 110.25metre square field is 110.25 metre square. Find the cost of fencing it round at N75.00 per metre

A trader makes a loss of 15% when selling an article. Find the ration, selling price: cost price

The probabilities that John and James pass an examination are ¾ and 3/5 respectively. Find the probability of both boys failing the examination

Ekaette spent ¼ of his money on food, 1/3 on clothing and saved the rest. If he saved N72, 000.00. How much did he spend on food?

A cooperative society charges an interest of 5 ½ % per annum on any amount borrowed by its members. If a member borrows N125, 000, how much does he pay back after one year?

The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase

Find the next two terms of the sequence 1, 5, 14, 30, 50…

A man made a loss of 15% by selling an article for N595. Find the cost price of the article

The volume of a cylinder is 1200 cm cube and the area of its base is 150cm cube. Find the height of the cylinder

Given that Y = PX + Q and Y=5 when X=3, while Y=4 when X=2, find the values of P and Q.

The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary

Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7)

A fair die is tossed once. What is the probability of obtaining neither 5 nor 2?

If two triangles are similar, which of the following is true? Their

Given that p varies as the square of p and q varies inversely as the square root of r. how does p vary with r?

If tan y = 0.404, where y is acute, find cos 2y

Correct 0.04945 to two significant figures

P is a point on the same plane with a fixed point A. If P moves such that it is always equidistant from A, the locus of P is

What is the number whose logarithm to base 10 is 3.4771?

The interior angle of a regular polygon is twice the exterior angle. How many sides have the polygon?

Out of 60 members of an association, 15 are doctors and 9 are lawyers. If a member is selected at random from the association, what is the probability that the member is neither doctor nor a lawyer?

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30^o. If TU = 54m, how high is T above the horizontal ground?

The wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (Take Pi = 22/7)

A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?

If the 2^nd and 5^th terms of a G.P are 6 and 48 respectively, find the sum of the first four terms

Solve the simultaneous equations: x + y = 2 and 3x – 2y = 1

The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. calculate its volume

Three quarters of a number added to two and a half of that number gives 13. Find the missing number.

A cuboid of base 12.5cm by 20 cm holds exactly 1 litre of water. What is the height of the cuboid? (1 liter = 1000cm³)

There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?

Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216cm², find the length of the basic.

Given that 2P – m = 6 and 2p + 4m = 1. Find the value of (4p + 3m)

If x% of 240 equals 12, find x: