MATHEMATICS PAST QUESTIONS

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

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

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

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

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

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

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)

Correct 0.04945 to two significant figures

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

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

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

Divide 3.6721 by 4

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 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

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

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?

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?

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

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?

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 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 trader bought 100 tubers of yam at 5 for N350.00. She sold them in sets of 4 for N290.00. Find her gain percent

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

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

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

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

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

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 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.

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

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

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

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

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

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

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?

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

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

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

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)

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

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)

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

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

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

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)

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

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

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

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

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

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?

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

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

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