JAMB MATHEMATICS PAST QUESTIONS (UTME)

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

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?

Simplify (3√64a³)${}^{}$

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

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

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

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

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

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?

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

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?

From the diagram above, find the value of < OTQ

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

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

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.

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

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

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 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?

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?

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

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

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

If √ (2x + 2) − √x =1 ,find x.

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

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

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

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

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?

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?

In the figure, find x

A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree.

From the cyclic quadrilateral above, find < TVS

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

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

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

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

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

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

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

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

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

Simplify 4 √[(390695T− 8)½)]

The sum of two numbers is 5; their product is 14. Find the numbers.

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

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?

In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X?

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

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

2t − 1 $\le$ 3 and 2− t $\ge$ 5

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

Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^o.

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

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

The base in which the operation was performed was

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

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = $\frac{\mathrm{22/}}{7}$)