MATHEMATICS PAST QUESTIONS

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?

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

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

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

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

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 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)

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

A pyramid of volume 120cm cube has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid

Divide the sum of 8,6,7,2,0,4,7,2,3 by their mean

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

Subtract (-y+3x+5z) from (4y – x – 2z)

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)

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

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

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?

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

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?

I am x years old and my brother is 3 years older. How old was my brother last year?

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

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?

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

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

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

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

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

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?

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

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

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)

Solve the inequality 2x + 3 < 5x

Correct 0.04945 to two significant figures

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 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

Q is 25km from P on a bearing 042 degrees and R is 25km from P on a bearing of 132 degrees. Calculate the bearing of R from Q

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

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

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

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

If x% of 240 equals 12, find x:

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?

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

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