MATHEMATICS PAST QUESTIONS

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 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?

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

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)

If 8x – 4 = 6x – 10, find the value of 5x

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?

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?

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

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

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

Correct 0.04945 to two significant figures

Divide 3.6721 by 4

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

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

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?

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

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

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

An arc of a circle of radius 14cm subtends angle 300^o at the centre. Find the perimeter of the sector formed by the arc (Take Pi=22/7)

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

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

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

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

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

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 x% of 240 equals 12, find x:

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?

Solve the inequality 2x + 3 < 5x

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 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?

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

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

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

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

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

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

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

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

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

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)

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 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.

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

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 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

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

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

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

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

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

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

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

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

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?

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

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