JAMB Mathematics 2007 Past Questions

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number

In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana

The histogram above represents the weights of students who travelled out to their school for an examination. How many people made the trip.

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 1 years old?

What is the mean deviation of 3, 5, 8, 11, 12 and 21?

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y

In how many ways can 6 subjects be selected from 10 subjects for an examination

Integrate \(\frac{x^2 -\sqrt{x}}{x}\) with respect to x

If y = x cos x, find dy/dx

Find the value of x for which the function f(x) = 2x³ - x² - 4x + 4 has a maximum value

Determine the value of \(\int_0 ^{\frac{\pi}{2}
}(-2cos x)dx\)

A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-³/₄)⊕6 is

The graph above is represented by

Make L the subjects of the formula if \(\sqrt{\frac{42w}{5l}}\)

The solution of the quadratic inequality (x³ + x - 12) ≥ 0 is

Factorize 2t² + t - 15

Solve the inequalities -3(x - 2) < -2(x + 3)

W ∝ L² and W = 6 when L = 4. If L = √17 find W

A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1

The nth term of the sequence ³/₂, 3, 7, 16, 35, 74 ..... is

Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......\)

Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)

If x₁₀ = 1214₅ find x

Evaluate \(\frac{(05652 - 04375)^2}{0.04}\) correct to three significant figures

Find the value of x for which 2(3^2x-1) = 162

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

If log₁₀2 = x, express log₁₀12.5 in terms of x

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26%

Given
P = {1, 3, 5, 7, 9, 11}
and Q = {2, 4, 6, 8, 1, 12}. Determine the relationship between P and Q

Evaluate 1011²₂ - 101²₂

If X = {all the perfect squares less than 40}
Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90^o at the center of the circle

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

In the parallelogram PQRS above, find angle SQR

The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus off P

If the lines 2y - kx + 2 = 0 and y + x - ^k/₂ = 0 Intersect at (1, -2), find the value of k

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30^o. Determine the height of the tower.

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

Find the size of each exterior angle of a regular octagon

Find the value of \(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}\)

The area of a square is 144 sqcm. Find the length of the diagonal.

if X = {all perfect squares less than 40} and y = {all odd numbers from 1 to 15}, find X ∩ Y

If y = (1 + x)², find \(\frac{dy}{dx}\)

If y = x cosx, find \(\frac{dy}{dx}\).

Find the size of each exterior angle of a regular octagon.

Integrate \(\frac{x^2 - \sqrt{x}}{x}\) with respect to x