JAMB Mathematics 2013 Past Questions

Convert 27₁₀ to another number in base three

3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share

Evaluate \(\frac{1.25 \times 0.025}{0.05}\), correct to 1 decimal place

Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest

Simplify \(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)

If log₁₀4 = 0.6021, evaluate log₁₀4^1/3

Simplify \(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)

if P = {x:x is odd, \(-1 < x \leq 20\)} and Q is {y:y is prime, \(-2 < y \leq 25\), find P \(\cap\) Q

If S = \(\sqrt{t^2 - 4t + 4}\), find t in terms of S

If x - 4 is a factor of x² - x - k, then k is

The remainder when 6p³ - p² - 47p + 30 is divided by p - 3 is

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q =\(\frac{8}{5}\)

If r varies inversely as the square root of s and t, how does s vary with r and t?

Evaluate 3(x + 2) > 6(x + 3)

Solve for x: |x - 2| < 3

If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio

The n^th term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...

If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)

If P = \(\begin{vmatrix} 5 & 3 \\ 2 & 1 \end{vmatrix}\) and Q = \(\begin{vmatrix} 4 & 2 \\ 3 & 5 \end{vmatrix}\), find 2P + Q

Find the inverse \(\begin{vmatrix} 5 & 3 \\ 6 & 4 \end{vmatrix}\)

If y = x sin x, find \(\frac{\delta y}{\delta x}\)

If y = (2x + 2)³, find \(\frac{\delta x}{\delta y}\)

The radius of a circle is increasing at the rate of 0.02cms^-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.

Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.

\(\begin{array}{c|c}Age & 20 & 25 & 30 & 35 & 40 & 45 \\
\hline \text{No. of people} & 3 & 5 & 1 & 1 & 2 & 3 \end{array}\)

Calculate the median age of the frequency distribution in the table above

If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation

\(\begin{array}{c|c} Score & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline Frequency & 1 & 0 & 7 & 5 & 2 & 3 & 1 & 1 \end{array}\)
The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?

In how many ways can a student select 2 subjects from 5 subjects?

In how many ways can 3 seats be occupied if 5 people are willing to sit?

What is the probability that an integer x \((1 \leq x \leq 25)\) chosen at random is divisible by both 2 and 3?

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.

The graph is shown is correctly represented by

In the diagram given, find the value of x.

The value x in the figure given is

The bar chart above shows the allotment of time(in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?

The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.