JAMB MATHEMATICS PAST QUESTIONS (UTME)

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

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

If duty is levied at 25%, find the duty to be added to a bill of N80.

If x₁₀ = 23₅. Find x

From the cyclic quadrilateral above, find < TVS

Find at which rate per annum simple interest N525 will amount to N588 in 3 years

Divide the L.C.M of 48, 64 and 80 by their H.C.F

A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H

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

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

Given T = { even numbers from 1 to 12 }
N = {common factors of 6, 8 and 12}
Find T ∩ N

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?

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

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

Factorize completely x² + 12xy + y + 3x + 3y - 18

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

Simplify (3√64a³)${}^{}$

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

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

If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

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?

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

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?

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

y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

From the diagram above, Find the value of < ROP

Find the simple interest on N325 in 5years at 3% per annum.

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

If √ (2x + 2) − √x =1 ,find x.

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?

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

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

The curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
π = 22/7

If log₅20 = x, find x

Simplify 4 √[(390695T− 8)½)]

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

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

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.

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

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

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

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

What is the loci of a distance 4cm from a given point P?

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

How many sides has a regular polygon whose interior angles are 120°each

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

Find the range of values of t which satisfies the inequality.

2t − 1 $\le$ 3 and 2− t $\ge$ 5

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.

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

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

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

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}

Simplify √30 × √40

Solve x² − 2x − 3 = 0