MATHEMATICS PAST QUESTIONS

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.

What is the height 10cm and diameter 7cm? (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?

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

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?

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

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

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

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

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)

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

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

N140, 000 is shared between Abu, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode’s share?

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

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

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 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 wheel of a tractor has diameter 1.4m. What distance does it cover in 100 complete revolutions? (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.

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

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

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

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?

Correct 0.04945 to two significant figures

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

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

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

A boy estimated his transport fare for a journey as N 190 instead of N200. Find the percentage error in his estimate

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

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?

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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 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

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

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

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?

If x% of 240 equals 12, find x:

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?

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

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.

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

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

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