MATHEMATICS PAST QUESTIONS

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?

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

Correct 0.04945 to two significant figures

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?

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?

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

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 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

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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?

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

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

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

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

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?

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?

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?

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 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)

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

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

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

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 cuboid of base 12.5cm by 20 cm holds exactly 1 litre of water. What is the height of the cuboid? (1 liter = 1000cm³)

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

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

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

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

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

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

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

Solve the inequality 2x + 3 < 5x

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

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

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

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

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

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