JAMB MATHEMATICS PAST QUESTIONS

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate

The area of a circle of radius 4cm is equal to (Take π = 3.142 )

If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q$\cap$T?

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given.

What is the median mark?

Find the x and y intercepts of the graph of 3x - z $\le$ 9

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year.

An arc of the length 16$\pi$cm subtends an angle of 80^o at the centre of the circle. Find the radius of the circle.

If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 2/3 of her share to Taiwo for N720.00. Find the value of the store

Given U = {xx is a positive integer less than 15} and P = {xx is even number from 1 to 14}. Find the compliment

The area of an ellipse is 132cm².The length of its major axis is 14cm.Find the length of it minor axis

Given that Z = {1,2,4,5} what is the power of set Z?

In how many ways can the letters LEADER be arranged?

The sum of the interior angles of a polygon is a given as 1080^o. Find the number of the sides of the polygon.

A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make?

An arc subtends an angle of 30^o at the centre of a circle radius 12cm. Calculate the length of the arc.

Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

If m * n = [m_n − n_m] for m, n belong to R, evaluate − 3 * 4

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

If the mean of 4, y, 8 and 10 is 7. Find Y?

Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5

Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place)

The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?

A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2

Simplify √30 × √40

The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B?

The venn diagram shows a class of 50 students with the games they play. How many students play only two games

If x + y = 90 simplify (sinx + siny)²−2sinx siny

Simplify (3√64a³)${}^{}$

What is the place value of 9 in the number 3.0492?

From the diagram above, find the value of < OTQ

In how many ways can the word MATHEMATICS be arranged?

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

Solve x² − 2x − 3 = 0

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

From the diagram above, find the required roots/region of x

A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much tax does he pay each year?

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60^o

Rationalize 5 ÷ (2 − √3)

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

Find the gradient of the line joining the points (3, 2) and (1, 4)

Calculate the value of x and y if (27^x ÷ 81^x+2y = 9 ,x + 4y = 0

The probabilities that John and James pass an examination are $\frac{\mathrm{3/}}{4}$and $\frac{\mathrm{5/}}{}$ respectively. Find the probability of both boys failing the examination.

Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum

n a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

The volume of a cone (s) of height 6cm and base radius 5cm is

Convert 0.04945 to two significant figures

A man bought a car for N800 and sold it for N520. Find his loss per cent

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms