MATHEMATICS PAST QUESTIONS

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

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

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?

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

The monthly salary of a man increased from N2, 700 to N3, 200. Find the percentage increase

Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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

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

Correct 0.04945 to two significant figures

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 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?

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

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

A ladder, 6cm long, leans against a vertical wall at an angel 53 degree to the horizontal. How high up the wall does the ladder reach?

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

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

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

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.

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

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 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)

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

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

Divide 3.6721 by 4

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

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

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?

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

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 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)

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

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