JAMB MATHEMATICS PAST QUESTIONS

Simplify (3√64a³)${}^{}$

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?

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

Find x if 132_x = 70 _eight.

Simplify √30 × √40

A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

Convert 0.04945 to two significant figures

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

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

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

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 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?

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.

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

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

Find the gradient of the line joining the points (3, 2) and (1, 4)

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

Solve x² − 2x − 3 = 0

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.

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

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

If x₁₀ = 23₅. Find x

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

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

From the diagram above, find the value of < OTQ

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

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

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

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

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

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?

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

In how many ways can the letters LEADER be arranged?

If log₅20 = x, 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.

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?

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

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

2t − 1 $\le$ 3 and 2− t $\ge$ 5

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?

In the figure, find x

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

In how many ways can the word MATHEMATICS be arranged?

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

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

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

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?

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

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

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

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

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

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

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

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?

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