MATHEMATICS PAST QUESTIONS

Divide 3.6721 by 4

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

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

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

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

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

Correct 0.04945 to two significant figures

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

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

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?

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

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

If x% of 240 equals 12, find x:

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 machine valued at N20, 000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

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

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

Ekaette spent ¼ of his money on food, 1/3 on clothing and saved the rest. If he saved N72, 000.00. How much did he spend on food?

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)

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

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)

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?

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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 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 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 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?

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

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

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

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 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)

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

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

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?