JAMB Mathematics 1983 Past Questions

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

Question 0

If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8 then (M, D) is

A.(6, 5)
B.(5, 8)
C.(5, 7)
D.(5, 5)
E.(7, 5)

Objective

Question 0

If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M, D) is

A.(6, 5)
B.(5, 8)
C.(5, 7)
D.(5, 5)
E.(7, 5)

Objective

Question 0

A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in the ratio 4:5. At the end of the year, Y received N5,000 more than X. What is the total profit of the company for the year?

A.N20, 000
B.N25,000
C.N30,000
D.N15,000
E.N45, 000

Objective

Question 0

Given a regular hexagon, calculate each interior angle of the hexagon

A.60^o
B.30^o
C.120^o
D.45^o
E.135^o

Objective

Question 0

If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?

A.4:1 increase
B.2:1 increase
C.1:1 no change
D.1:4 decrease
E.3:4 decrease

Objective

Question 0

Solve the following equations 4x - 3 = 3x + y = x - y = 3, 3x + y = 2y + 5x - 12

A.x = 5, y = 2
B.x = 2, y = 5
C.x = 5, y = -2
D.x = -2, y = -5
E.x = -5, y = -2

Objective

Question 0

In a figure, PQR = 60^o, PRS = 90^o, RPS = 45^o, QR = 8cm. Determine PS

A.2\(\sqrt{3}\)cm
B.4\(\sqrt{6}\)cm
C.2\(\sqrt{6}\)cm
D.8\(\sqrt{6}\)cm
E.8cm

Objective

Question 0

Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\text{cot z - cosec z}}{\text{sec z + tan z}}\)

A.\(\frac{1 - L}{1 + L}\)
B.\(\frac{L^2 \sqrt{3}}{1 + L}\)
C.\(\frac{1 + L^3}{L^2}\)
D.\(\frac{L(L - 1)}{1 - L + 1 \sqrt{1 - L^2}}\)
E.

Objective

Question 0

If 0.0000152 x 0.042 = A x 10⁸, where 1 \(\leq\) A < 10, find A and B

A.A = 9, B = 6.38
B.A = 6.38, B = -9
C.A = -6.38, B = -9
D.A = -9, B = -6.38
E.

Objective

Question 0

If x + 2 and x - 1 are factors of the expression 1x³ + 2kx² + 24, find the values of 1 and K

A.1 = -6, k = -9
B.1 = -2, k = 1
C.k = -1, 1 = -2
D.1 = 0, k = 1
E.k = 0,1 = 6

Objective

Question 0

Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt{\frac{2v + T}{a + 2T}}\)

A.T = \(\frac{3av}{1 - v}\)
B.T = \(\frac{1 + v}{2a^2v^3}\)
C.T = \(\frac{2v(1 - v)^3 - a^4v^3}{2a^3v^3 + (1 - v)^2}\)
D.\(\frac{2v(1 - v)^3 - a^4 v^3}{2a^3v^ 3 - (1 - v)^3}\)
E.

Objective

Question 0

The value of (0.03)³ - (0.02)³ is

A.0.019
B.0.0019
C.0.00019
D.0.000019
E.0.000035

Objective

Question 0

y varies partly as the square of x and partly as the inverse of the square root of x.Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4

A.y = \(\frac{10x^2}{31} + \frac{52}{31\sqrt{x}}\)
B.y = x² + \(\frac{1}{\sqrt{x}}\)
C.y = x² + \(\frac{1}{x}\)
D.y = \(\frac{x^2}{31} + \frac{1}{31\sqrt{x}}\)
E.

Objective

Question 0

Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)

A.\(\frac{x}{(x - 3)(x - 7)}\)
B.\(\frac{x}{(x + 3)(x - 7)}\)
C.\(\frac{x}{(x + 3)(x + 7)}\)
D.\(\frac{x}{(x - 3)(x + 7)}\)
E.

Objective

Question 0

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

A.2
B.6
C.18
D.12
E.5

Objective

Question 0

The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores.

A.47
B.50
C.48\(\frac{1}{2}\)
D.48
E.49

Objective

Question 0

Find x if (x_base4)² = 100100_base2

A.6
B.12
C.100
D.210
E.110

Objective

Question 0

Simplify log¹⁰ a^{\(\frac{1}{3}\)} + \(\frac{1}{4}\)log₁₀ a - \(\frac{1}{12}\)log₁₀a⁷

A.1
B.\(\frac{7}{6}\)log₁₀ a
C.zero
D.10
E.

Objective

Question 0

If w varies inversely as V and U varies directly as w³, Find the relationship between u and v given that u = 1, when v = 2

A.u = \(\frac{8}{v^3}\)
B.v = \(\frac{8}{u^2v^3}\)
C.u = 8v³
D.v = 8u²
E.

Objective

Question 0

Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0

A.-28, 7
B.6, -28
C.6, -1
D.-1, 7
E.3, 2

Objective

Question 0

Find the missing value in the following table \(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline Y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)

A.-3
B.3
C.-9
D.13
E.9

Objective

Question 0

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

A.15^o, 25^o, 35^o, 40^o, 65^o
B.60^o, 100^o, 140^o, 160^o, 260^o
C.6^o, 10^o, 14^o, 16^o, 26^o
D.30^o, 50^o, 70^o, 80^o, 130^o
E.none of the above

Objective

Question 0

The scores of 16 students in a Mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?

A.125
B.130
C.140
D.150
E.137.5

Objective

Question 0

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel

A.\(\frac{7}{13}\)
B.\(\frac{5}{13}\)
C.\(\frac{6}{13}\)
D.\(\frac{8}{13}\)
E.\(\frac{4}{13}\)

Objective

Question 0

Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

A.4.46
B.4.48
C.4.47
D.4.49
E.4.50

Objective

Question 0

If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?

A.55
B.10
C.5
D.4
E.2

Objective

Question 0

If (\(\frac{2}{3}\))m (\(\frac{3}{4}\))n = \(\frac{252}{729}\), find the values of m and n

A.m = 4, n = 2
B.m = -4, n = -2
C.m = -4, n =2
D.m = 4, n = -2
E.m = -2, n = 4

Objective

Question 0

Without using tables find the numerical value of log₇49 + log7_{(\(\frac{1}{7}\))}

Objective

Question 0

Factorize completely 81a⁴ - 16b⁴

A.(3a + 2b)(2a - 3b)(9a² + 4b²)
B.(3a - 2b)(2a - 3b)(4a² - 9b²)
C.(3a - 2b)(3a - 2b)(9a² - 4b²)
D.(6a - 2b)(8a - 3b)(4a³ - 9b²)
E.

Objective

Question 0

One interior angle of a convex hexagon is 170^o and each of the remaining interior angles is equal to x^o. Find x

A.120^o
B.110^o
C.105^o
D.102^o
E.100^o

Objective

Question 0

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P

A.20^o 34'
B.243^o 26'
C.116^o 34'
D.63^o 26'
E.240^o 56'

Objective

Question 0

In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)

What is the median?

A.4
B.3
C.5
D.4.5
E.None

Objective

Question 0

On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.

A.6.00cm²
B.6.10cm²
C.6cmv
D.6.09cm²
E.4.00cm²

Objective

Question 0

Simplify \(\frac{3 \sqrt{27a ^{-9}}}{8}\)

A.\(\frac{9a^2}{2a^3}\)
B.\(\frac{3}{2a^3}\)
C.\(\frac{2}{3a^2}\)
D.\(\frac{3a^2}{2}\)
E.

Objective

Question 0

PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60^o. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A.25cm
B.18cm
C.36cm
D.29cm
E.25.5cm

Objective

Question 0

In a triangle PQT, QR = \(\sqrt{3cm}\), PR = 3cm, PQ = 2\sqrt{3}\)cm and PQR = 30^o. Find angles P and R

A.P = 60^o and R = 90^o
B.P = 30^o and R = 120^o
C.P = 90^o and R = 60^o
D.P = 60^o and R 60^o
E.P = 45^o and R = 105^o

Objective

Question 0

Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77

A.25.12
B.25.30
C.25.26
D.25.50
E.25.75

Objective

Question 0

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours?

A.120km/hr
B.60km/hr
C.670km/hr
D.40km/hr
E.

Objective

Question 0

In a class of 60 pupils, the statistical distribution of the numbers of pupils offering Biology, History, French, Geography and Additional mathematics is as shown in the pie chart. How many pupils offer Additional Mathematics?

A.15
B.10
C.18
D.12
E.20

Objective

Question 0

In the figure, find PRQ

A.66\(\frac{1}{2}\)^o
B.62\(\frac{1}{2}\)^o
C.125^o
D.105^o
E.65^o

Objective

Question 0

Which of the following equations represents the graph?

A.y = 1 + 2x + 3x²
B.y = 1 - 2x + 3x²
C.y = 1 + 2x - 3x²
D.y = 1 - 2x - 3x²
E.y = 3x² + 2x - 1

Objective

Question 0

The figure FGHK is a rhombus. What is the value of angle X?

A.30^o
B.90^o
C.150^o
D.120^o
E.60^o

Objective

Question 0

PQRS is a desk of dimensions 2m x 0.8 which is inclined at 30^o to the horizontal. Find the inclination of the diagonal PR to the horizontal

A.30^o 35'
B.30^o 32'
C.15^o 36'
D.10^o
E.10^o 42'

Objective

Question 0

If O is the centre of the circle in the figure, find the value of x

A.50
B.260
C.100
D.65
E.130

Objective

Question 0

PQRS isa cyclic quadrilateral which PQ = PS. PT is a tangent to the circle and PQ makes an angle of 50^o with the tangent as shown in the figure. What is the size of QRS?

A.50^o
B.40^o
C.110v
D.80^o
E.100^o

Objective

Question 0

The farm yield of four crops on a piece of land in Ondo are represented on the pie chart. what is the angle of the sector occupies by Okro in the chart?

A.11^o
B.19\(\frac{1}{3}\)^o
C.33\(\frac{1}{3}\)^o
D.91\(\frac{1}{3}\)^o
E.91^o

Objective

Question 0

In the figure, PQR is a straight line. Find the values of x and y

A.x = 22.5^o, y = 33.75^o
B.x = 15^o, y = 52.5^o
C.x = 22.5^o, y = 45.0^o
D.x = 56.25^o, y = 11.5^o
E.

Objective

Question 0

In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?

A.25^o
B.50^o
C.55^o
D.65^o
E.75^o

Objective

Question 0

In the figure PT is a tangent to the circle with centre at O. If PQT = 30^o, find the value of PTO

A.30^o
B.50^o
C.24^o
D.12^o
E.60^o

Objective