MATHEMATICS PAST QUESTIONS

Correct 0.04945 to two significant figures

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

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

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.

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.

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

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

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

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

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

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

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

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 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 2^nd and 5^th terms of a G.P are 6 and 48 respectively, find the sum of the first four terms

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

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

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

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

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)

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

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

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

Solve the inequality 2x + 3 < 5x

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

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

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

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

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)

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

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

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

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

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 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 p varies as the square of p and q varies inversely as the square root of r. how does p vary with r?

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?

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

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?

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

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

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

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

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

If x% of 240 equals 12, find x:

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

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

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

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?

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?

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

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.

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