JAMB Mathematics 1998 Past Questions

If 1011₂ + x₇ = 25₁₀, solve for X.

Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]^-1 correct to 2 decimal places

If b³ = a^-2 and c^{\(\frac{1}{3}\)} = a^{\(\frac{1}{2}\)}b, express c in terms of a

Given that log₄(Y - 1) + log₄(\(\frac{1}{2}\)x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

Find the value of k if \(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)

A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at N15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for N50.00, how much did she make by selling all the oil?

A man is paid r naira per hour for normal work and double rate for overtime. if he does a 35-hour week which includes q hours of overtime, what is his weekly earning in naira?

When the expression pm² + qm + 1 is divided by (m - 1), it has a remainder is 4, Find p and q respectively

Factorize r² - r(2p + q) + 2pq

Solve for the equation \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0

Make \(\frac{a}{x}\) the subject of formula \(\frac{x + 1}{x - a}\)

2x² + 11x² + 17x + 6 by 2x + 1

Express in partial fractions \(\frac{11 + 2}{6x^2 - x - 1}\)

If x is a positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\)

If p + 1, 2P - 10, 1 - 4p²are three consecutive terms of an arithmetic progression, find the possible values of p

The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.

The kinetic element wit respect to the multiplication shown in the diagram below is \(\begin{array}{c|c} \oplus & p & p & r & s \\ \hline p & r & p & r & p
\\ q & p & q & r & s\\ r & r & r & r & r\\ s & q & s & r & q\end{array}\)

The binary operation \(\oplus\) is defined by x \(\ast\) y = xy - y - x for all real values x and y. If x \(\ast\) 3 = 2\(\ast\), find x

The determinant of matrix \(\begin{pmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{pmatrix}\) in terms of x is

Let = \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\) p = \(\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}\) Q = \(\begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix}\) be 2 x 2 matrices such that PQ = 1. Find (u, v)

a cylindrical drum of diameter 56 cm contains 123.2 litres of oil when full. Find the height of the drum in centimeters

The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.

If the distance between the points (x, 3) and (-x, 2) is 5. Find x

The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is

solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60^o and 45^o respectively. Find the distance between the huts

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

Differentiate \(\frac{x}{cosx}\) with respect to x

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

find the equation of the curve which passes through by 6x - 5

If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number

\(\begin{array}{c|c} \text{Average hourly earnings(N)} & 5 - 9 & 10 - 14 & 15 - 19 & 20 - 24\\ \hline \text{No. of workers} & 17 & 32 & 25 & 24\end{array}\)

Estimate the mode of the above frequency distribution

Find the variance of the numbers k, k+1, k+2,

Find the positive value of x if the standard deviation of the numbers 1, x + 1 is 6

A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to \(\frac{2}{5}\)

In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively of winning the gold in the football event. What is the probability that either team will win the gold?

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

For what value of x does 6 sin (2x - 25)^o attain its maximum value in the range 0^o \(\leq\) x \(\leq\) 180^o

In the venn diagram, the shaded region is

The shaded area represents

In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS

In diagram, PQ || ST and < PQR = 120^o, < RST = 130^o, find the angle marked x

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of \(\bigtriangleup\)QRS is 20cm², find the area of the trapezium PQRT.

TQ is tangent to circle XYTR, < YXT = 32^o, RTQ = 40^o. fIND < YTR

In the diagram, QTR is a straight line and < PQT = 30^o. find the sin of < PTR

A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60^o on the circumference of he circle. Find the length of the chord

The pie chart shows the monthly expenditure pf 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 bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?