MATHEMATICS PAST QUESTIONS

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?

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

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

A point on the ground is 5m away from the foot of a vertical wall 7m high. Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium

A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord

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?

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

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

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.

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

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)

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

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

If x% of 240 equals 12, find x:

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

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

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

Correct 0.04945 to two significant figures

The lengths of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector

A boy contains 3 red and 2 white identical balls. If 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours

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

What is the height 10cm and diameter 7cm? (Take Pi = 22/7)

A messenger was paid N2.50 an hour during the normal working hours and N4.00 an hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime?

The curved surface area of a cylindrical tin is 704cm cube. If the radius of its base is 8cm. find the height (Take Pi = 22/7)

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

The sum of the 1^st and 2^nd terms of an AP is 4 and the 10^th term is 19. Find the sum of the 5^th and 6^th terms

Solve the inequality 2x + 3 < 5x

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

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

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

Mr. John traveled from Aba to Ikorodu a distance of 720km in 8 hours. What will be his speed in m/s?

A rectangular carpet 2.5m long and 2.4m wide covers 5% of a rectangle floor. Calculate the area of the floor.

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?

A house bought for N 100,000 was later auctioned for N80, 000. Find the loss percent.

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

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

What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take Pi = 22/7)

A man’s eye level is 1,7m above the horizontal ground and calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

The area of a sector of a sector of a circle with diameter 12cm is 66 cm square. If the sector is folded to form a cone, calculate the radius of the base of the cone. (Take Pi = 22/7)

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?

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

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

A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages

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

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

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?

Which of the following statements describes the locus of a point R which moves in a plane such that it is a point R which moves in a plane such that it is equidistant from two intersecting lines?

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

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

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

Divide 3.6721 by 4

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

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?

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

A school girl spends ¼ of her pocket money on books and 1/3 on dress. What fraction remains?

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

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 population of students in a school is 810. If this represented on a pie chart. Calculate the sectoral angle for a class of 72 students