JAMB MATHEMATICS PAST QUESTIONS (UTME)

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

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

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

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

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.

Find the simple interest on N325 in 5years at 3% 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 curved surface area of a cylinder 5cm high is 110cm². Find the radius of its base
π = 22/7

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 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 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?

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

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?

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

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

Convert 0.04945 to two significant figures

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

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

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?

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

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?

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

Simplify (3√64a³)${}^{}$

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

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?

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

2t − 1 $\le$ 3 and 2− t $\ge$ 5

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

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

Find x if 132_x = 70 _eight.

If log₅20 = x, find x

If √ (2x + 2) − √x =1 ,find x.

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 = $\frac{\mathrm{22/}}{7}$)

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

In how many ways can the word MATHEMATICS be arranged?

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

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

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

If x₁₀ = 23₅. Find x

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

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

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

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

In how many ways can the word MACICITA be arranged?

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

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

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

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?

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

From the diagram above, Find the value of < ROP

The base in which the operation was performed was

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

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.

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

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

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

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