JAMB Mathematics 1995 Past Questions and Answers

Mathematics JAMB 1995 Q3 ✓ Answer: B

Find the value of (0.006) 3 + (0.004) 3 in standard form.

A

2.8 X 10-9 B 2.8 X 10-8

C

2.8 X 10-7

D

2.8 X 10-6

Mathematics JAMB 1995 Q4 ✓ Answer: B

Given that loga2 = 0.693 and loga3 = 1.097, find loga13.5

A

1.404

B

1.790

C

2.598

D

2.790

Mathematics JAMB 1995 Q5 ✓ Answer: B

Simplify log296 – 2log26

A

2 - log23

B

3 – log23

C

log23 – 3

D

log23 – 2

Mathematics JAMB 1995 Q6 ✓ Answer: D

If 8x/2 = [23/8][43/4], find x

A

3/8

B

¾

C

4/5

D

5/4

Mathematics JAMB 1995 Q15 ✓ Answer: C

Factorize completely the expression abx2 + 6y – 3ax –2byx

A

(ax – 2y)(bx - 3)

B

(bx + 3)(2y - ax)

C

(bx + 3)(ax – 2y)

D

(ax – 2y) (ax - b)

Mathematics JAMB 1995 Q16 ✓ Answer: A

Solve the following inequality (x - 3)(x - 4) ≤0

A

3≤ x ≤ 4

B

3 < x < 4

C

3 ≤ x < 4

D

3 < x ≤4

Mathematics JAMB 1995 Q18 ✓ Answer: C

Simplify x2 - 1 x3 + 2x2 – x - 2

A

1/x + 2

B

x – 1/x + 1

C

x – 1/x + 2

D

1/x – 2

Mathematics JAMB 1995 Q19 ✓ Answer: B

Express 5x – ½ (x - 2)(x - 3) in partial fraction

A

2/x – 2 – 3/x – 3

B

2/x – 2 + 3/x – 3

C

2/x – 3 – 3x –2

D

5/x – 3 + 4/x – 2

Mathematics JAMB 1995 Q20 ✓ Answer: B

x -1 Use the graph of the curve y = f(x) above to solve the inequality f(x) > 0.

A

-1≤ x ≤ 1, x > 2

B

x ≤-1, 1, < x > 2

C

x≤ -1, 1 ≤ x ≤ 2

D

x ≤ 2, -1 ≤ x ≤ 1

Mathematics JAMB 1995 Q21 ✓ Answer: B

Which of the following binary operation is commutative in a set of integers?

A

a*b = a + 2b

B

a*b = a + b –ab

C

a*b = a2 + b

D

a*b = a(b + 1)/2

Mathematics JAMB 1995 Q29 ✓ Answer: B

Find the distance between two towns P(450N, 300N) and Q(150S, 300W) if the radius of the earth is 7 000km.

A

1 100

B

2 200 3 3

C

11 000

Mathematics JAMB 1995 Q30 ✓ Answer: D

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x – 2y + 4 = 0, find the equation of QR.

A

x – 2y + 1 = 0

B

2x + y – 3 – 0

C

x – 2y – 3 = 0

D

2x + y – 1 = 0

Mathematics JAMB 1995 Q33 ✓ Answer: A

12 cm 14 cm In the diagram above, the base diameters is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top (p = 22/7)

A

836cm2

B

528cm2

C

308cm2

D

154cm2 Q

Mathematics JAMB 1995 Q34 ✓ Answer: C

O 10 cm P R In the diagram above, find PQ if the area of triangle PQR is 35ccm2

A

97cm

B

10cm

C

14cm

D

17cm

Mathematics JAMB 1995 Q36 ✓ Answer: C

QRS is a triangle with QS = 12m, <RQS = 300 and <QRS = 450, calculate the length of RS.

A

18√2m

B

12√2m

C

6√2m

D

3√2m

Mathematics JAMB 1995 Q38 ✓ Answer: B

The derivative of cosec x is

A

tan x cosec x

B

– cot x cosec x

C

tan x sec x

D

–cot x sec x

Mathematics JAMB 1995 Q40 ✓ Answer: B

Two variables x and y are such that dy/dx = 4x – 3 and y = 5 when x = 2. find y in terms of x

A

2x2 – 3x + 5

B

2x2 – 3x + 3

C

2x2 – 3x

D

4

Mathematics JAMB 1995 Q41 ✓ Answer: C

Find the area bounded by the curve y = 3x2 – 2x + 1, the coordinates x = 1 and y = 3 and the x-axis

A

24 9.

B

22 47

C

21

D

20 [PAGE 42]

Mathematics JAMB 1995 Q42 ✓ Answer: D

Age in years 13 14 15 16 17 3 10 30 42 15 No . of students The frequency distribution above shows the ages of students in a secondary school. In a pie chart constructed to represent the data, the angle corresponding to the 15 years-old is

A

270

B

300

C

540

D

1080

Mathematics JAMB 1995 Q43 ✓ Answer: B

O O Economics History French

A

25

B

15

C

R. K. The pie chart above shows the distribution of students in a secondary school class. If 30 students offered French, how many offered C.R.K?

D

8

Mathematics JAMB 1995 Q44 ✓ Answer: D

The mean and the range of the set of numbers 0.20,1.00,0.90,1.40,0.80,0.80,1.20,and 1.10 are m and r respectively. Find m + r

A

1.11

B

1.65

C

1.85

D

2.45

Mathematics JAMB 1995 Q46 ✓ Answer: C

The variance of the scores 1,2,3,4,5 is

A

1.2

B

1.4

C

2.0

D

3.0 Use the table below to answer questions 47 and 48 Frequency Class Boudaries Class Mid-point Class Interval 1.7 2.2 2.7 3.2 3.7 4.2 4.7 1.45-1.95 1.95-2.45 2.45-2.95 2.95-3.45 3.45-3.95 3.95-4.45 4.45-4.95 1.5-1.9 2.0-2.4 2.5-2.9 3.0-3.4 3.5-3.9 4.0-4.4 4.5-4.9

Mathematics JAMB 1995 Q47 ✓ Answer: C

find the mode of the distribution

A

3.2

B

3.4

C

3.7

D

4.2

Mathematics JAMB 1995 Q48 ✓ Answer: B

The median of the distribution is

A

4.0

B

3.5

C

3.2

D

3.0

Mathematics JAMB 1995 Q49 ✓ Answer: D

Let P be a probability function on set S, where S = (a1,a2,a3,a4) find P(a1) if P(a2) = P(a3) = 1/6 and P(a4)1/5

A

7/10 B 2/3

C

1/3

D

3/10

JAMB Mathematics 1995 past questions