MATHEMATICS PAST QUESTIONS

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

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

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

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 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

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

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

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

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.

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 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 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?

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

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

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

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

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

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 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)

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

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?

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

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)

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

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

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

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

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

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?

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

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

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

Two circles has radii 16cm and 23cm. What is the difference between their circumferences? (Take Pi=22/7)

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

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

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

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

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 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?

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

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

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

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

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?

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

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

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

A seller allows 20% discount for cash payment on the marked price of his goods. What is the ratio of the cash payment to the marked price?

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)

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

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)

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

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?

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)

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