JAMB Mathematics 1979 Past Questions

Practice each question, then open it to see the full details.

Question 0

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is

A.1.5
B.0.8
C.1.0
D.1.02
E.1.05

Objective

Question 0

(1.28 x 10⁴) + (6.4 x 10²) equals

A.2 x 10^-5
B.2 x 10^-1
C.2 x 10¹
D.2 x 10^-4
E.

Objective

Question 0

If the value of is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

A.5544m²
B.1386m²
C.132m²
D.264m²
E.693m²

Objective

Question 0

(3.2)² - (1.8)² equals

A.7.0
B.2.56
C.13.48
D.2.0
E.0.07

Objective

Question 0

In \(\bigtriangleup\)PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS

A.4cm
B.32cm
C.\(\frac{30}{7}\)
D.\(\frac{40}{7}\)
E.4.8cm

Objective

Question 0

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

A.N330
B.n396.75
C.N300
D.N293.25
E.N360

Objective

Question 0

In base ten, the number 101101 (base 2) equals

A.15
B.4
C.45
D.32
E.90

Objective

Question 0

The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was

A.N5000
B.N1800
C.N12000
D.N24000
E.N8000

Objective

Question 0

x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

A.\(\frac{5}{6}\)
B.11
C.3\(\frac{3}{5}\)
D.2\(\frac{1}{2}\)
E.1\(\frac{1}{5}\)

Objective

Question 0

The solution of the equation x² - 2x = 8 is

A.x = 0 or 2
B.x = -2 or 4
C.x = 2
D.x = -4
E.x = 2 or 4

Objective

Question 0

A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is

A.\(\frac{y(y - x)}{y - x}\) cedis
B.\(\frac{Yy - Xx)}{y - x}\) cedis
C.\(\frac{Y - Xy)}{y - x}\) cedis
D.\(\frac{Y - X}{y - x}\) cedis
E.\(\frac{Y - Xx}{y - x}\) cedis

Objective

Question 0

Multiply (3x + 5y + 4z) by (2x - 3y + z)

A.6x² + xy - 15y² + 4z² + 11xz - 7yz
B.6x² + 3xy - 15y² + 4z²
C.6x² + 3xy - y² + 4z²
D.6x² + 3xy - 15y + z²
E.

Objective

Question 0

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

A.20sq.cm
B.100sq.cm
C.25sq.cm
D.16sq.cm
E.36sq.cm

Objective

Question 0

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A.\(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
B.\(\frac{-24 + 18\sqrt{6 + 8} 5 + 6\sqrt{30}}{39}\)
C.\(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
D.\(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
E.

Objective

Question 0

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x - 1}}\)

A.5^{2x + 1}
B.5^{x + 1}
C.5^-5
D.5²
E.5³

Objective

Question 0

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A.\(\frac{44}{3}\)\(\pi\)cm³
B.12\(\pi\)cm³
C.\(\frac{38}{3}\)\(\pi\)cm³
D.\(\frac{40}{3}\)\(\pi\)cm³
E.\(\frac{32}{33}\)\(\pi\)cm³

Objective

Question 0

Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)

A.\(\frac{x^2 + y^2} {(x - y)^2}\)
B.\(\frac{2y^3} {y^2 - x^2}\)
C.\(\frac{3x^2 + y^2} {(2x - y)^2}\)
D.\(\frac{x^2 + y^2} {(x^2 - y)}\)
E.

Objective

Question 0

A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?

A.1m
B.1.1m
C.1.2m
D.0.9m
E.1.3m

Objective

Question 0

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

A.\(\frac{1}{6}\)
B.\(\frac{13}{20}\)
C.\(\frac{11}{30}\)
D.\(\frac{9}{4}\)
E.\(\frac{5}{3}\)

Objective

Question 0

One of the following statements is wrong. Which is it?

A.If a triangle is equiangular then it is also equilateral
B.If a triangle is equilateral then it is also then it is also equiangular
C.If two triangles are similar then they are also congurent
D.The sum of the interior angles of any triangle is 180 degrees
E.

Objective

Question 0

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o find < QRS

A.75^o
B.37\(\frac{1}{2}\)^o
C.127\(\frac{1}{2}\)^o
D.105^o
E.

Objective

Question 0

Make x the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0

A.c = \(\frac{2d - 5 - b}{ad}\)
B.c = \(\frac{2d - 5 - abd}{ad}\)
C.c = \(\frac{2d - 5 - ab}{ad}\)
D.c = \(\frac{5 - 2d - b}{ad}\)
E.

Objective

Question 0

Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?

A.(a), (b), (c)
B.(c)
C.None of the choices
D.All of the above
E.

Objective

Question 0

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr

A.1\(\frac{2}{3}\)
B.2
C.5
D.6
E.10

Objective

Question 0

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2

A.x = -8, y = 1
B.x = -2, y = 4
C.x = \(\frac{-34}{27}\), y = \(\frac{73}{27}\)
D.x = 7, y = -9
E.

Objective

Question 0

If x³ - 12x - 16 = 0 has x = -2 as a solution then the equaion has

A.x = -4 as a solution also
B.3 roots all different
C.3 roots with two equal and the third different
D.3 roots all equal
E.only one root

Objective

Question 0

Find the value of (4^{\(\frac{1}{2}\)})⁶

Objective

Question 0

Find the value of log₁₀\(\frac{1}{40}\), given that log₁₀4 = 0.6021

A.1.3979
B.2.3979
C.1.6021
D.2.6021
E.

Objective

Question 0

12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?

A.24
B.18
C.12
D.9
E.8

Objective

Question 0

For the set of numbers 2, 3, 5, 6, 7, 7, 8

A.The median is greater than the mode
B.the mean is greater than the mode
C.the mean is greater than the median
D.the median is equal to the mean
E.the mean is less than the median

Objective

Question 0

Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0

A.\(\frac{1}{x}\)
B.\(\frac{1 - x}{x}\)
C.\(\frac{1 + x}{x}\)
D.\(\frac{1}{x - 1}\)
E.\(\frac{-x - 1}{1}\)

Objective

Question 0

A cylinder of height h and radius r is open at one end. Its surface area is

A.2\(\pi\)rh
B.\(\pi\)r²h
C.2\(\pi\)rh + \(\pi\)r²
D.2\(\pi\)rh + 2\(\pi\)r²
E.

Objective

Question 0

An arc of circle of radius 2cm subtends an angle of 60^o at the centre. Find the area of the sector

A.\(\frac{2 \pi}{3}\)cm²
B.\(\frac{\pi}{2}\)cm²
C.\(\frac{\pi}{3}\)cm²
D.\(\pi\)cm²
E.

Objective

Question 0

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A.\(\sqrt{2239cm}\)
B.\(\sqrt{2}\) x 2239cm
C.\(\frac{\sqrt{3}}{2}\) 2239cm
D.\(\sqrt{3}\) x 2239cm
E.4478cm

Objective

Question 0

What is log₇(49^a) - log₁₀(0.01)?

A.\(\frac{49^a}{100}\)
B.\(\frac{a}{2}\) + 2
C.7^2a + 2
D.2a + 2
E.\(\frac{2a}{2}\)

Objective

Question 0

The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?

A.\(\frac{59300}{625}\)
B.\(\frac{50900}{625}\)
C.200%
D.+100%
E.

Objective

Question 0

The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)

A.\(\frac{31}{15}\)
B.\(\frac{31}{5}\)
C.\(\frac{129}{5}\)
D.\(\frac{43}{5}\)
E.\(\frac{16}{5}\)

Objective

Question 0

If y = x² - 2x - 3, Find the least value of y and corresponding value of x

A.x = 3, y = 3
B.x = 1, y = -3
C.x = 4, y = 1
D.x = 1, y = -4
E.x = 2, y = -3

Objective

Question 0

A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?

A.20 and 45
B.100 and 150
C.45 and 65
D.35 and 75
E.20 and 60

Objective

Question 0

If \(\sqrt{3^x}\) = \(\sqrt{9}\) then the value of x is:

A.\(\frac{3}{4}\)
B.\(\frac{4}{3}\)
C.\(\frac{1}{3}\)
D.\(\frac{2}{3}\)
E.\(\frac{1}{2}\)

Objective

Question 0

A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30^o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man

A.30^o
B.60^o
C.45^o
D.25^o
E.

Objective

Question 0

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

A.3\(\sqrt{2}\)
B.2\(\sqrt{3}\)
C.\(\frac{\sqrt{3}}{2}\)
D.\(\frac{2}{\sqrt{3}}\)
E.

Objective

Question 0 Question image

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55^o. The size of

A.125^o
B.120^o
C.115^o
D.110^o
E.10^o

Objective

Question 0

If O is the centre of the circle, < POS equls

A.70^o
B.75^o
C.105^o
D.140^o
E.150^o

Objective

Question 0 Question image

In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20^o. What is the size of

A.70^o
B.90^o
C.80^o
D.40^o
E.60^o

Objective

Question 0

In the figure, PQ is parallel to SQ ; QS bisets < PSQ, < PQS is 65^o and < RPS is 20^o. What is the size of < PRS?

A.45^o
B.35^o
C.40^o
D.30^o
E.42^o

Objective

Question 0

(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k²sq. units what is the area of the shades portion?

A.\(\frac{5}{9}\)k² sq. units
B.\(\frac{1}{3}\)k² sq. units
C.\(\frac{8}{9}\)k² sq. units
D.\(\frac{7}{9}\)k² sq. units
E.\(\frac{2}{3}\)k² sq. u

Objective

Question 0

In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

A.60cm²
B.65cm²
C.72cm²
D.144cm²
E.156cm²

Objective

Question 0

PQ is parallel to RS. Calculate the value of x.

A.20^o
B.40^o
C.60^o
D.80^o
E.100^o

Objective

Question 0

Find x in the diagram below.

A.3\(\sqrt{3}\)
B.\(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
C.\(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
D.\(\frac{3 - 1}{\sqrt{3} + 1}\)
E.

Objective