SS 3 MATHEMATICS PAST QUESTIONS (WAEC/NECO)

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?

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

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

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

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

Solve the inequality 2x + 3 < 5x

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?

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

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

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

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

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

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?

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

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

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

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

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 sides of a triangle are perpendicular. If the two sides are 8cm and 6cm. calculate correct to the nearest degree, the smallest angle of the triangle

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

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

Divide 3.6721 by 4

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

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?

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

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?

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

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

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.

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

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

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

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

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?

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?

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

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

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

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

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?

If x% of 240 equals 12, find x:

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

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

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

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?

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

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

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

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?

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

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

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)

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

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

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

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

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

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

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 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’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.

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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?

Correct 0.04945 to two significant figures

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

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)

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?

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

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)

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

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?

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?