JAMB Mathematics 1992 Past Questions and Answers

Mathematics JAMB 1992 Q3 ✓ Answer: D

Evaluate Logban if b = 1/an

A

n2

B

n

C

1/n

D

1/n

Mathematics JAMB 1992 Q6 ✓ Answer: C

Simplify 5√18 - 3√72 + 4√50

A

17√4

B

4√17

C

17√2

D

12√4

Mathematics JAMB 1992 Q6 ✓ Answer: D

If 2 log3 y+ log3 x2 = 4, then y is

A

(4-log3 x2)/2

B

4/log3 x2

C

2/X

D

± 9/X

Mathematics JAMB 1992 Q8 ✓ Answer: D

If x = {all prime factors of 44} and y = {all prime factors of 60}, the elements of x∩y and xÇy respectively are.

A

{2,4,3,5,11} and {4}

B

{4,3,5,11} and {3,4}

C

{2,5,11} and {2}

D

{2,3,5,11} and {2}

Mathematics JAMB 1992 Q9 ✓ Answer: B

If U = {0,2,3,6,7,8,9,10} is the universal set, E = {0,4,6,8,} and F = {x: x2 = 26 ,}, x is odd}. Find (ECF)’ where means the complement of a set

A

{0}

B

U

C

D

f

Mathematics JAMB 1992 Q9 ✓ Answer: C

Y X Z The shaded portion in the venn diagram above is

A

XÇZ

B

XcÇYÇZ

C

XÇYcÇ Z

D

XÇYÇZc

Mathematics JAMB 1992 Q10 ✓ Answer: A

Make l the subject of the formula s = ut + ½ at2

A

1/a [u± √(u2−2as)]

B

1/a [-u± √(u2 - 2as]

C

1/a [u±√(u2 + 2as)

D

1/a [-u±√(u2 + 2as)]

Mathematics JAMB 1992 Q11 ✓ Answer: C

Factorize 9p2 – q2 + 6pr – 9r2

A

(3p – 3q + r)(3p – q – 9r)

B

(6p – 3q + 3r)(3p – q – 4r)

C

(3p – q + 3r)(3p + q – 3r)

D

(3p – q + 3r)(3p – q – 3r)

Mathematics JAMB 1992 Q11 ✓ Answer: A

Make x the subject of the relation 1+ax/1-ax = p/q

A

p+q/a(p-q)

B

p-q /a(p+q)

C

p-q/apq

D

pq/a(p-q) Mathematics 1993

Mathematics JAMB 1992 Q12 ✓ Answer: A

Solve the equation y - 11 y + 24 = 0

A

8,3

B

64,9

C

6,4

D

9,-8

Mathematics JAMB 1992 Q15 ✓ Answer: C

Resolve (3/x2 + x – 2) into partial fractions

A

1 - 1

B

1 1 x-1 x+2 x + 2 x - 1

C

1 - 1

D

1 1 x + 1 x - 2 x - 2 + x + 1

Mathematics JAMB 1992 Q16 ✓ Answer: C

Find all values of x satisfying the inequality –11≤ 43x ≤ 28

A

-5 ≤ x ≤ 18

B

5 ≤ x ≤ 8

C

–8 ≤ x ≤ 5

D

–5 < x ≤ 8

Mathematics JAMB 1992 Q17 ✓ Answer: A

x -3 -2 -1 1 2 3 -1 -2 -3 The sketch above is the curve of y = ax2 + bx + c. find a, b, and c respectively

A

1,0,-4

B

–2,2,-4

C

0,1,-4

D

2,-2,-4

Mathematics JAMB 1992 Q19 ✓ Answer: C

What is the nth term of the sequence 2,6,12,20,…?

A

4n – 2

B

2(3n - 1)

C

n2 + n

D

n2 + 3n +2

Mathematics JAMB 1992 Q21 ✓ Answer: D

If the binary operation * is defined by m*n = mn + m + n for any real number m and n, find the identity element under this operation.

A

e = 1

B

e = -1

C

e = -2

D

e = 0 Use the matrices below to answer questions 22 and 23.

Mathematics JAMB 1992 Q26 ✓ Answer: B

P S R In the figure above, PQR is a semicircle while PQ and QR are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?

A

QS = PS.SR

B

QS = √(PS.SR)

C

QS = √2 √(PS.SR)

D

QS = 1/√2√(PS.SR)

Mathematics JAMB 1992 Q27 ✓ Answer: B

Determine the distance on the earth’s surface between two towns P(Lat. 600N, Long. 200E) and Q(Lat. 600N, Long 250W)

A

800p/9km

B

800Ö3p/9km

C

800pkm

D

800Ö3pkm

Mathematics JAMB 1992 Q30 ✓ Answer: B

6 cm O 6 cm The above diagram is a circle with centre O. find the area of the shaded portion.

A

9πcm2

B

9(π -2)cm2

C

18πcm2 3D. 36πcm2

Mathematics JAMB 1992 Q31 ✓ Answer: A

The locus of a point which is equidistant from two given fixed points is the

A

perpendicular bisector of the straight line joining them

B

parallel line to the straight line joining them

C

transverse to the straight line joining them

D

angle bisector of 900 which the straight line joining them makes with the horizontal

Mathematics JAMB 1992 Q33 ✓ Answer: B

Find the equation of the line through (5, 7) parallel to the line7x + 5y = 12

A

5x + 7y = 120

B

7x + 5y = 70

C

x + y = 7

D

15x + 17y = 90

Mathematics JAMB 1992 Q37 ✓ Answer: A

If y = x, find d2y/dx2

A

2 cos x – x sin x

B

sin x + x cos x

C

sin x – x cos x

D

x sin x – 2 cos x

Mathematics JAMB 1992 Q38 ✓ Answer: A

Ice forms on a refrigerator ice-box at the rate of (4 – 0.6t)g per minute after t minute. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes.

A

19.5

B

17.0

C

14.5

D

12.5

Mathematics JAMB 1992 Q43 ✓ Answer: D

2 4 6 8 x f 4 y 6 5 If the mean of the above frequency distribution is 5.2, find y

A

6.0

B

5.2

C

5.0

D

4.0

Mathematics JAMB 1992 Q44 ✓ Answer: B

0 1 2 3 4 5 6 7 11 6 7 7 5 3 No . of children No . of families Find the mode and median respectively of the distribution above

A

2,1

B

1,2

C

1,5

D

5,2

Mathematics JAMB 1992 Q45 ✓ Answer: C

If the scores of 3students in a test are 5,6 and 7 find the standard deviation of their scores

A

2/3

B

3/2√3

C

√ 2/3

D

√3/2

Mathematics JAMB 1992 Q46 ✓ Answer: B

Sample variance can be defined as S2 = 1/n n=1 (x1-x)2 and S2 = 1 n∑n=11 (x1−x) (n-1) Where n is the number of sample observations. There is no difference practically between the above definitions when

A

n =35

B

n > 35

C

n < 35

D

n = 5

Mathematics JAMB 1992 Q47 ✓ Answer: B

Two perfect dice are throw together. Determine the probability of obtaining a total score of 8

A

1/12

B

5/36

C

1/8

D

7/36

Mathematics JAMB 1992 Q48 ✓ Answer: C

The probability of an event P is ¾ while that of another Q is 1/6. if the probability of both P and Q is 1/12, what is the probability of either P or Q?

A

1/96

B

1/8

C

5/6

D

11/12

JAMB Mathematics 1992 past questions