JAMB Mathematics 2005 Past Questions

Find the value of m if 13_m + 24_m = 41_m

If 321₄ is divided by 23₄ and leaves a remainder r, what is the value of r?

Simplify 3¹/₂ - (2¹/₃ * 1¹/₄) + ³/₅

If the interest on N150.00 for 2¹/₂ years is N4.50, find the interest on N250.00 for 6 months at the same rate

Three boys shared some oranges. The first received ¹/₃ of the oranges and the second received ²/₃ of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

If Log₁₀2 = 0.3010 and Log₁₀3 = 0.4771, evaluate Log₁₀4.5

Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

The venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r)

A polynomial in x whose zeros are -2, -1 and 3 is

The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 30 men to do a piece of work in 6 days, how many men are required to do the work in 4 days?

The weight W kg of a metal bar varies jointly as its length L meters and the square of its diameter d meters. If w = 140 when d = 4²/₃ and L = 54, find d in terms of W and L.

Find the range of values of x for which 7x - 3 > 25 + 3x

The diagram above is the graph of the function f(x). Determined the range of values of x for which f(x) \(\leq\) 0

If the 7th term of an AP is twice the third term and the sum of the first four terms is 42, find the common difference.

Find the sum of the first 20 terms of the series 8, 12, 16, ....., 96

An operation * is defined on the set of real numbers by a * b = ab + 2(a + b + 1). find the identity elements

In the diagram above calculate the value of x

Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = 52^o and ∠LOH = 85^o, calculate the size of ∠EOG.

The sum of the interior angle of a regular polygon is 1800^o. Calculate the size of one exterior angle of the polygon

In the diagram above, O is the center of the circle,

∠UOT = 70^o and ∠RST = 100^o. Calculate ∠RUO.

A sector of a circle has an area of 55 cm². If the radius of the circle is 10 cm, calculate the angle of the sector
[π = 22/7]

Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm

Two lines PQ and ST intersect at 75^o. The locus of points equidistant from PQ and ST lies on the

Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5

A chord of a circle subtends an angle of 60^o at the length of a circle of radius 14 cm. Find the length of the chord

If sin θ = -¹/₂ for 0 < θ < 360^o, the value of θ is

From the diagram above, find the bearing of R and S

If y = (1 - 2x)², find the value of dy/dx at x = -1

Find the derivative of y = sin(2x³ + 3x - 4)

The radius r of a circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm?

The maximum value of the function
f(x) = 2 + x - x² is

Find the area of the figure bounded by the given pair of curves y = x² - x + 3 and y = 3

Evaluate \(\int_0^{\frac{\pi}{0}}sin2xdx\)

The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x

The model height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r respectively. Find m+2r.

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2

In how many ways can 6coloured chalks be arranged if 2 are same colour?

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

The Venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\geq\) 0.

in the diagram above, calculate the value of x.

In the diagram above, O is the centre of the circle, If < UOT = 70^o and < RST = 100^o. Calculate < RUO

From the diagram given, find the bearing of R from S

The histogram above shows the distribution of the distribution of the monthly incomes of the workers in a company. How many workers earn more than N700.000?