JAMB MATHEMATICS PAST QUESTIONS (UTME)

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 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.

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?

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

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

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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

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?

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

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

If √ (2x + 2) − √x =1 ,find x.

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

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

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

Rationalize 5 ÷ (2 − √3)

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

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

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?

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

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?

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

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

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

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 base in which the operation was performed was

Convert 0.04945 to two significant figures

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

Simplify √30 × √40

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 = $\frac{\mathrm{22/}}{7}$)

Solve x² − 2x − 3 = 0

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

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

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

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

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

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

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

If x₁₀ = 23₅. Find x

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

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

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

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

A cylindrical tank has a capacity of 3080m³. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

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

From the diagram above, Find the value of < ROP

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

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

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

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

From the cyclic quadrilateral above, find < TVS

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

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?

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

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

In how many ways can the letters LEADER be arranged?

Simplify (3√64a³)${}^{}$

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