JAMB MATHEMATICS PAST QUESTIONS (UTME)

The base in which the operation was performed was

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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

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

Find x if 132_x = 70 _eight.

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

2t − 1 $\le$ 3 and 2− t $\ge$ 5

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

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

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

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

Simplify (3√64a³)${}^{}$

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

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

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

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

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

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

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

In how many ways can the letters LEADER be arranged?

From the diagram above, Find the value of < ROP

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

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 log₅20 = x, 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.

In how many ways can the word MATHEMATICS be arranged?

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

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

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

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

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?

In the figure, find 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.

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

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

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

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

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

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

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

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

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.

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

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

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

Simplify 4 √[(390695T− 8)½)]

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

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

Convert 0.04945 to two significant figures

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

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

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.

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?

Simplify √30 × √40

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

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

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

From the diagram above, find the value of < OTQ