SS 3 MATHEMATICS PAST QUESTIONS (WAEC/NECO)

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

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

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

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

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

If x% of 240 equals 12, find x:

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.

Correct 0.04945 to two significant figures

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

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

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

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

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

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

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?

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?

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

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

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

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

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?

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

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

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

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

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

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

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 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

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.

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

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

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

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?

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

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

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

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

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.

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?

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

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

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

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

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

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

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?

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

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

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

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

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

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.

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

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?

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

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

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

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

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

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

Solve the inequality 2x + 3 < 5x

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

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

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

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

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

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

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

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

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

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?

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

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?

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

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)

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

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?

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

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

Divide 3.6721 by 4