MATHEMATICS PAST QUESTIONS

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

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

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

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.

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

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

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

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

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

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

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?

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

Water flows from a tap into a cylindrical container at the rate of 5Pi cm cube per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of a seconds

Which of the following correctly expresses 48 as a product of prime factors?

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

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

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

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

Solve the inequality 2x + 3 < 5x

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

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

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

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

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)

A man bought 220 mangoes at N5x. He sold each for 3x kobo and made again of N8. Find the value of x.

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?

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

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.

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

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?

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

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)

Calculate. Correct to 2 significant figures, the length of arc of a circle of radius 3.5cm which subtends an angle of 75 degree at the centre of the circle (Take Pi = 22/7)

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

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 angle of elevation of an aircraft from a point K on the horizontal ground is 30 degree. If the aircraft is 800m above the ground, how far is it from K?

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

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

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

A survey shows that 228% of all the men in a village wear selected at random in the village wear size 9 shoes?

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?

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

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

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

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

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

If x% of 240 equals 12, find x:

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?

Which of the following figures have one line of symmetry only? (I) Isosceles triangle (II) Rhombus (III) Kite

Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm. calculate correct to the nearest degree, the smallest angle of the triangle

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

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

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?

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

A boy walks 800m in 20 minutes. Calculate his average speed in km per hour

A ladder, 6cm long, leans against a vertical wall at an angel 53 degree to the horizontal. How high up the wall does the ladder reach?

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?