JAMB Mathematics 1989 Past Questions

Question 0

Which of the following is in descending order?

A.\(\frac{9}{10} \frac{4}{5} \frac{3}{4} \frac{17}{10}\)
B.\(\frac{4}{5} \frac{9}{10} \frac{3}{4} \frac{17}{20}\)
C.\(\frac{9}{10} \frac{17}{10} \frac{4}{5} \frac{3}{4}\)
D.\(\frac{4}{5} \frac{9}{10} \frac{17}{10} \frac{3}{4}\)
E.

Objective

Question 0

Evaluate 2700 000 x 0.03 + 18 000

A.4.5 x 10^o
B.4.5 x 10¹
C.4.5 x 10²
D.4.5 x 10³
E.

Objective

Question 0

The prime factors of 2520 are

A.2, 9, 5
B.2, 9, 7
C.2, 3, 5, 7
D.2, 3, 7, 9
E.

Objective

Question 0

if 12 = x, find x where e = 12

A.20
B.15
C.14
D.12
E.

Objective

Question 0

Simplify 3\(\sqrt{(64r^6)^{\frac{1}{2}}}\)

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

Objective

Question 0

What is the different between 0.007685 correct to three significant figures and 0.007685 correct to four places of decimal?

A.10^-5
B.7 x 10^-4
C.8 x 10^-5
D.10^-6
E.

Objective

Question 0

If a : b = 5 : 8, x : y = 25 : 16; evaluate \(\frac{a}{x}\) : \(\frac{b}{y}\)

A.125 : 128
B.3 : 5
C.3 : 4
D.2 : 5
E.

Objective

Question 0

Oke deposited N800.00 in the bank at the rate of 12\(\frac{1}{2}\)% simple interest. After some time the total amount was one and half times the principal. For how many years was the money left in the bank?

A.2\(\frac{2}{3}\)
B.4
C.5\(\frac{1}{3}\)
D.8
E.

Objective

Question 0

If the surface area of a sphere increased by 44%, find the percentage increase in diameter

A.44
B.30
C.22
D.20
E.

Objective

Question 0

Simplify 4 - \(\frac{1}{2 - \sqrt{3}}\)

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

Objective

Question 0

Find P in terms of q if log₃P + 3log₃q = 3

A.(\(\frac{3}{q}\))³
B.(\(\frac{q}{3}\))^{\(\frac{1}{3}\)}
C.(\(\frac{q}{3}\))³
D.(\(\frac{3}{q}\))^{\(\frac{1}{3}]\)}
E.

Objective

Question 0

What are the values of y which satisfy the equation gy - 4 x 3^y + 3 = 0?

A.-1 and 0
B.-1 and 1
C.1 and 3
D.0 and 1
E.

Objective

Question 0

Make R the subject of the fomula S = \(\sqrt{\frac{2R + T}{2RT}}\)

A.R = \(\frac{T}{(TS^2 + 1)}\)
B.R = \(\frac{T}{2(TS^2 - 2)}\)
C.R = \(\frac{T}{2(TS^2 + 1)}\)
D.R = \(\frac{R}{2(TS^2 + 1)}\)
E.

Objective

Question 0

The cost of dinner for a group of students is partly constant and partly varies directly as the number of students. If the cost is N74.00 when the number of is 20 and N96.00 when the number is 30, find the cost when there are 15 students

A.N68.50
B.N63.00
C.N60.00
D.N52.00
E.

Objective

Question 0

If f(x) = 2x² - 5x + 3, find f(x + 1)

A.2x² - x
B.2x² - x + 10
C.4x² + 3x + 2
D.4x² + 3x + 12
E.

Objective

Question 0

Solve for a positive number x such that 2(x³ - x² - 2x) = 1

A.4
B.3
C.2
D.1
E.

Objective

Question 0

Simplify \(\frac{324 - 4x^2}{2x + 18}\)

A.2(x - 9)
B.2(9 + x)
C.81 - x²
D.-2(x - 9)
E.

Objective

Question 0

Factorize completely y³ -4xy + xy³ - 4y

A.(y + ay)(y + 2)(y - 2)
B.(y - xy)(y - 2)
C.y(1 + x)(y + 2)(y -2)
D.y(1 - x)(y + 2)(y - 2)
E.

Objective

Question 0

Factorize 4a² - 12ab - C² + 9b²

A.4a(a - 3b) + (3b - c)²
B.(2a + 3b - c)(2a + 3b + c)
C.(2a - 3b + c)(2a - 3b - c)
D.4a(a - 3b) + (3b + c)
E.

Objective

Question 0

What are K and L respectively if \(\frac{1}{2}\)(3y - 4x)² = (8x² + kxy + Ly²)

A.-12, \(\frac{9}{2}\)
B.-6, 9
C.6, 9
D.12, \(\frac{9}{2}\)
E.

Objective

Question 0

Solve the pair of pair of equation for x and y respectively 2x^-t - 3y^-1 = 4, 4x^-1 + y^-1 = 1

A.-1, 2
B.1, 2
C.2, 1
D.2, -1
E.

Objective

Question 0

What value of Q will make the expression 4x² + 5x + Q a complete square?

A.\(\frac{25}{16}\)
B.\(\frac{25}{64}\)
C.\(\frac{5}{8}\)
D.\(\frac{5}{4}\)
E.

Objective

Question 0

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) > 1

A.r > \(\frac{abc}{bc + ac + ab}\)
B.r < abc
C.r > \(\frac{1}{a}\) + \(\frac{1}{b}\) + \(\frac{1}{c}\)
D.. \(\frac{1}{abc}\)
E.

Objective

Question 0

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

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

Objective

Question 0

Simplify \(\frac{x(x + 1)^{\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)

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

Objective

Question 0

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

A.\(\frac{x}{y}\)
B.\(\frac{y}{x}\)
C.(\(\frac{x}{y}\))^{\(\frac{1}{n - 2}\)}
D.(\(\frac{y}{x}\))^{\(\frac{1}{n - 2}\)}
E.

Objective

Question 0

If -8, m, n, 19 are in arithmetic progression, find (m, n)

A.1, 10
B.2, 10
C.3, 13
D.4, 16
E.

Objective

Question 0

A rectangular polygon of (2k + 1) sides has 140^o as the size of each interior angle. Find k

A.4
B.4\(\frac{1}{2}\)
C.8
D.8\(\frac{1}{2}\)
E.

Objective

Question 0

PQRS is a rhombus. If PR² + Qs² = KPQ², determine k

A.1
B.2
C.3
D.4
E.

Objective

Question 0

In xyz, y = z = 30^o ans XZ = 3cm. Find YZ

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

Objective

Question 0

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle

A.68cm
B.84cm
C.100cm
D.120cm
E.

Objective

Question 0

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A.10(sin 35^o - sin 55^o)
B.10 cos35^o - cos 55^o
C.10(tan35^o - tan55^o)
D.10(cot35^o - cot55^o)
E.

Objective

Question 0

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A.30^o
B.45^o
C.60^o
D.9^o
E.

Objective

Question 0

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2?

A.336
B.420
C.576
D.720
E.

Objective

Question 0

a cylindrical metal pipe 1m long has an outer diameter of 7.2cmand an inner diameter of 2.8cm. Find the volume of metal used for the cylinder

A.440\(\pi\)cm³
B.1100\(\pi\)cm³
C.4400\(\pi\)cm³
D.1100\(\pi\)cm³
E.

Objective

Question 0

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

A.2\(\sqrt{5}\)
B.3
C.4
D.4\(\sqrt{3}\)
E.

Objective

Question 0

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

A.30^o
B.60^o
C.112.5^o
D.157.5^o
E.

Objective

Question 0

In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

A.35 years
B.40 years
C.42 years
D.54 years
E.

Objective

Question 0

If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

A.(2.6, 2.6)
B.(2.5, 2.6)
C.(2.6, 2.5)
D.(2.5, 2.1)
E.

Objective

Question 0

On the curve, the points at which the gradient of the curve is equal to zero are

A.c, d, f. i, l
B.b, e, g, j, m
C.a, b, c, d, f, i, j, l
D.c, d, f, h, i, l
E.

Objective

Question 0

MN is tangent to the given circle at M, MR and MQ are two chords. IF QNM is 60^o and MNQ is 40^o. Find RMQ

A.120^o
B.110^o
C.60^o
D.20^o
E.

Objective

Question 0

In the diagram, HK is parallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR:PR?

A.7:3
B.3:7
C.3:4
D.4:3
E.

Objective

Question 0

If PQR is a straight line with QS = QR, calculate TPQ, If QT\\SR and TQS = 3y^o

A.62^o
B.56\(\frac{3}{2}\)^o
C.20\(\frac{3}{2}\)^o
D.18^o
E.

Objective

Question 0

If PST is a straight line and PQ = QS = SR in the diagram, find y.

A.24^o
B.48^o
C.72^o
D.84^o
E.

Objective

Question 0

In a class of 30 students, the marks scored in an examination are displayed in the histogram. What percentage of the student scored more than 40%?

A.14%
B.40%
C.40\(\frac{3}{4}\)%
D.53\(\frac{1}{3}\)%
E.

Objective