JAMB MATHEMATICS PAST QUESTIONS (UTME)

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

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?

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?

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.

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?

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 = $\frac{\mathrm{22/}}{7}$)

From the cyclic quadrilateral above, find < TVS

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

The base in which the operation was performed was

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

In how many ways can the letters LEADER be arranged?

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?

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

In the figure, find x

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

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

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

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

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

Solve x² − 2x − 3 = 0

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

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

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

In how many ways can the word MATHEMATICS be arranged?

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

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

2t − 1 $\le$ 3 and 2− t $\ge$ 5

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

Simplify (3√64a³)${}^{}$

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

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

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

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

From the diagram above, find the value of < OTQ

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

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

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

Simplify (0.09)² and give your answer correct to 4 significant figures

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.

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

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 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

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

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

If √ (2x + 2) − √x =1 ,find x.

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

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

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

In how many ways can the word MACICITA be arranged?

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.

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

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

Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5)

From the diagram above, Find the value of < ROP

If x₁₀ = 23₅. Find x