JAMB Mathematics 2015 Past Questions

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

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

Factorize x² + 9x + 20

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?

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

Find the x and y intercepts of the graph of 3x - z \(\leq\) 9

Simplify log₁₀1.5 + 3 log₁₀2 − log₁₀0.3

Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)

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

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?

Solve the equation \( 3x^2 − 4x − 5 = 0 \)

The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms

Find the equation of a line which is form origin and passes through the point (−3, −4)

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.

Make x the subject of the equation
s = 2 + \(\frac{t}{5} \)(x + ⅗y)

If log₅20 = x, find x

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

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

2t − 1 \(\leq\) 3 and 2− t \(\geq\) 5

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

Factorize \( x^2 − 2x − 15 \)

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

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

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

Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

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

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3 ⅓, ⅓, 7}.

Find A∩B

Find x if 132_x = 70 _eight.

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

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

A pipe made of metal 10cm thick has an external radius of 11cm. find the area of metal in making 2.4cm of pipe

Solve x² − 2x − 3 = 0

The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

\( \int x^2 \text{Sin}x \Delta x \)

The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

Simplify 4 √[(390695T− 8)½)]

If (159.75)₁₀ = (y)₆. Find x

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

Simplify \(6\frac{1}{12} − 2 ¾ + 1 ½ \)

Find the distance between the points (-2,-3) and (-2,4)

Determine the third term of a geometrical progression whose first and second term are 2 and 14 respectively

Given that S and T are sets of real numbers such that S = {x : 0 \(\leq\) x \(\leq\) 5} and T = {x : − 2 < x < 3} Find S \(\cup\) T

If an investor invest N450,000 in a certain organization in order to yield X as a return of N25,000. Find the return on an investment of N700,000 by Y in the same organization.

Evaluate log₇17

10011₂ + *****₂ + 11100₂ + 101₂ = 1001111₂

Evaluate log₅(\( y^2x^5 ÷ 125b½) \)

If y = \((x^2 + 3x − 1) ÷ (3x + 4).\) Find dy/dx

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

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

Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)