Mathematics JAMB CBT

Evaluate 21.05347 – 1.6324 x 0.43, to 3 decimal places.

A car dealer bought a second-hand car for #250,000.00 and spent #70,000.00 refurbishing it. He then sold the car for #400,000.00. What is the percentage gain?

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

The identity element with respect to the multiplication shown in the table above is

The sixth term of an arithmetical progression is half of its twelfth term. The first term is equal to

A sector of a circle of radius 7.2cm which subtends an angle of 3000 at the center is used to form a cone. What is the radius of the base of the cone?

Find the value of p if the line joining (p, 4) and (6, -2) is perpendicular to the line joining (2, p) and (-1, 3).

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m?

Find the number o 0f ways of selecting 8 subjects from 12 subjects for an examination.

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 Mathematics. How many offer Biology but not Mathematics?

A trader bought goats for N4,000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?

Simplify 52.4 – 5.7 – 3.45 – 1.75

The range of the data k + 2, k – 3, k + 4, k – 2, k, k – 5, k + 3, k – 1 and k + 6 is

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

Find the mean of the data 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

The distribution above shows the number of days a group of 260 students were absent from school in a particular term. How many students were absent for at least four days in the term?

How many three-digit numbers can be formed from 32564 without any digit being repeated?

If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?

The binary operation * is defined on the set of integers p and q by p * q = pq + p + q. Find 2 * (3 * 4).

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7.

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 sum of four numbers is 12145. What is the average expressed in base five?

A woman buys 270 oranges for N1,800.00 and sells at 5 for N40.00. What is her profit?

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5m, find the constant of proportionality.

The sum of the first n terms of an arithmetic progression is 252. If the first term is –16 and the last term is 72, find the number of terms in the series.

A trapezium has two parallel sides of lengths 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides.

An arc of a circle subtends an angle of 30o on the circumference of a circle of radius 21cm. Find the length of the arc.

By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women.

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24, 21 and 16 is

Find the mean of the distribution above.

On a pie chart, there are four sectors of which three angles are 45o, 90o and 135o. If the smallest sector represents N28.00, how much is the largest sector?

The result of tossing a fair die 120 times is summarized above. Find the value of x.

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

The weights of 10 pupils in a class are 15kg, 16kg, 17kg, 18kg, 16kg, 17kg, 17kg, 17kg, 18kg and 16kg. What is the range of this distribution?

A committee of six is to be formed by a state governor from nine state commissioners and three members of the house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly?

The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20?

Find the mean deviation of 1, 2, 3 and 4.

Some white balls were put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the basket is 3/7, how many white balls were introduced?

The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages becomes 18 years. Find the number of students in the group.

Given that the first and fourth terms of a G.P. are 6 and 162 respectively, find the sum of the first three terms of the progression.