JAMB Mathematics 2011 Past Questions

If 2q3₅ = 77₈, find q

Simplify \(\frac{3\frac{2}{3} \times \frac{5}{6} \times \frac{2}{3}}{\frac{11}{15} \times \frac{3}{4} \times \frac{2}{27}}\)

A man invested N5,000 for 9 months at 4%. What is the simple interest?

If the numbers M, N, Q are in the ratio 5:4:3, find the value of \(\frac{2N - Q}{M}\)

Simplify \((\frac{16}{81})^{\frac{1}{4}} \div (\frac{9}{16})^{-\frac{1}{2}}\)

If log₃18 + log₃3 - log₃x = 3, Find x.

Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)

Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

Raial has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms, how many choices does she have?

Make R the subject of the formula if T = \(\frac {KR^2 + M}{3}\)

Find the remainder when X³ - 2X² + 3X - 3 is divided by X² + 1

Factorize completely 9y² - 16X²

Solve for x and y respectively in the simultaneous equations -2x - 5y = 3. x + 3y = 0

If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 1\(\frac{7}{9}\)

T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\), find T when R = 2

Solve the inequality -6(x + 3) \(\leq\) 4(x - 2)

Solve the inequality x² + 2x > 15.

Find the sum of the first 18 terms of the series 3, 6, 9,..., 36.

The seconds term of a geometric series is 4 while the fourth term is 16. Find the sum of the first five terms

A binary operation \(\oplus\) om real numbers is defined by x \(\oplus\) y = xy + x + y for two real numbers x and y. Find the value of 3 \(\oplus\) - \(\frac{2}{3}\).

If | 2 3 | = | 4 1 |. find the value of y. 7

Evaluate \(\begin{vmatrix} 4 & 2 & -1 \\ 2 & 3 & -1 \\ -1 & 1 & 3 \end{vmatrix}\)

The inverse of matrix N = \(\begin{vmatrix} 2 & 3 \\
1 & 4\end{vmatrix}\) is

What is the size of each interior angle of a 12-sided regular polygon?

A circle of perimeter 28cm is opened to form a square. What is the maximum possible area of the square?

A chord of circle of radius 7cm is 5cm from the centre of the maximum possible area of the square?

A solid metal cube of side 3 cm is placed in a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank now hold

The perpendicular bisector of a line XY is the locus of a point B. whose distance from Y is always twice its distance from X. C

The midpoint of P(x, y) and Q(8, 6). Find x and y. midpoint = (5, 8)

Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).

In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?

A man walks 100 m due West from a point X to Y, he then walks 100 m due North to a point Z. Find the bearing of X from Z.

The derivatives of (2x + 1)(3x + 1) is

\(\begin{array}{c|c} Class Intervals & 0 - 2 & 3 - 5 & 6 - 8 & 9 - 11 & \\ \hline Frequency & 3 & 2 & 5 & 3 &\end{array}\)
Find the mode of the above distribution.

Find the value of x at the minimum point of the curve y = x³ + x² - x + 1

Evaluate \(\int^{1}_{2}\)(3 - 2x)dx

Find \(\int^{1}_{0}\) cos4 x dx

The sum of four consecutive integers is 34. Find the least of these numbers

\(\begin{array}{c|c} No & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline Frequency & 1 & 4 & 3 & 8 & 2 & 5 \end{array}\). From the table above, find the median and range of the data respectively.

\(\begin{array}{c|c}
Class Interval & 3 - 5 & 6 - 8 & 9 - 11 \\ \hline Frequency & 2 & 2 & 2 \end{array}\). Find the standard deviation of the above distribution.

I how many was can the letters of the word ELATION be arranged?

In how many ways can five people sit round a circular table?

Find the probability that a number picked at random from the set(43, 44, 45, ..., 60) is a prime number.

Find the derivative of \(\frac {\sin\theta}{\cos\theta}\)

From the venn diagram above, the complement of the set P\(\cap\)Q is given by

The pie chart shows the distribution of courses offered by students. What percentage of the students offer English?

The bar chart above shows the distribution of SS2 students in a school.

Find the total number of students