MATHEMATICS PAST QUESTIONS

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?

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

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

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

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

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

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

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

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

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

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

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?

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

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

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)

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?

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?

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

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?

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

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

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

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

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

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

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?

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

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

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

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

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?

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

Solve the inequality 2x + 3 < 5x

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

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

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

Correct 0.04945 to two significant figures

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?

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

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

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

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

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 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

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 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

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?

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

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