2011 JAMB Mathematics Past Questions

If 2q3₅ = 77₈, find q

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

A man invested ₦5,000 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 \( \left(\scriptsize\sqrt{2} \:+\: \normalsize\frac{1}{\sqrt{3}})(\scriptsize\sqrt{2} \:- \:\normalsize \frac{1}{\sqrt{3}}\right)\)

From the Venn diagram above, the complement of the set P ∩ Q is given by

Raial has 7 different posters. She wants to hang one poster in each of her bedroom, living room and kitchen. In how many ways can she do this?

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 = \(\scriptsize 1 \frac{7}{9}\)

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

Find T when R = 2

Which of the following diagrams represents the solution of the inequalities:

y ≤ x − 2 and y ≥ x² − 4?

Solve the inequalities:

−6(x + 3) ≤ 4(x − 2)

Solve the inequalities x² + 2x > 15

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

The second term of a geometric series is 4 while the fourth term is 16.

Find the sum of the first five terms

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

If \(\scriptsize \begin{vmatrix} 2 & 3 \\ 5 & 3x \end{vmatrix} = \begin{vmatrix} 4 & 1 \\ 3 & 2x \end{vmatrix} \)

find the value of x.

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

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

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

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

A chord of circle of radius 7 cm is 5 cm from the centre of the circle. What is the length of the chord?

A solid metal cube of side 3 cm is placed in a rectangular tank of dimensions 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

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

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

In a right-angled triangle, if tan θ = ³/₄

What is cos θ – sin θ?

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 derivative of (2x + 1)(3x + 1) is

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

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

Evaluate \( \scriptsize \int^{1}_{0} (3 \: -\: 2x)dx \)

Find \( \scriptsize \int cos\:4x\:dx\)

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

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

Find the total number of students

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

\(\scriptsize \begin{array}{c|c} No & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline Frequency & 1 & 4 & 3 & 8 & 2 & 5 \end{array} \)

From the table above, find the median and range of the data respectively

\(\scriptsize \begin{array}{c|c} Class \:interval & 0-2 & 3-5 & 6-8 & 9-11  \\ \hline Frequency & 3 & 2 & 5 & 3  \end{array} \)

Find the mode of the above distribution.

\( \scriptsize \begin{array}{c|c}
Class Interval & 3 – 5 & 6 – 8 & 9 – 11 \\ \hline Frequency & 2 & 2 & 2 \end{array}\)

Find the standard deviation of the above distribution

In how many ways 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

In a class of 60 students, 30 offer Physics and 40 offer Chemistry. If a student is picked at random from the class, what is the probability that the student offers both Physics and Chemistry?