JAMB MATHEMATICS PAST QUESTIONS (UTME)

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

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

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

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

In how many ways can the word MATHEMATICS be arranged?

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

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

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 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?

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

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

Simplify √30 × √40

From the diagram above, find the value of < OTQ

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

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.

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

Simplify (3√64a³)${}^{}$

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 range of values of t which satisfies the inequality.

2t − 1 $\le$ 3 and 2− t $\ge$ 5

Simplify 4 √[(390695T− 8)½)]

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

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 machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?

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

In the figure, find x

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

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

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

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

The base in which the operation was performed was

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

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 = $\frac{\mathrm{22/}}{7}$)

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

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

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

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

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

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

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

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

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?

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

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

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

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

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

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

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

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?

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.

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

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

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

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

If √ (2x + 2) − √x =1 ,find 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

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