Year : 
2015
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

21 - 30 of 62 Questions

# Question Ans
21.

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A. 2, ½

B. ½ , 2

C. 1, ½

D. 0, 2

Detailed Solution

The coordinate of the midpoint is \((\frac{-3 + 4}{2}, \frac{5 + (-1)}{2})\)
= \((\frac{1}{2}, 2)\)
There is an explanation video available below.
22.

Find the simple interest on N325 in 5years at 3% per annum.

A. N48.75K

B. N50.10K

C. N75.50K

D. N15.75K

Detailed Solution

There is an explanation video available below.
23.

Simplify (0.09)2 and give your answer correct to 4 significant figures

A. 0.81

B. 0.081

C. 0.0081

D. 8.0001

Detailed Solution

There is an explanation video available below.
24.

Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

A. \( \frac{2}{(x + 1)^2} \)

B. \( \frac{2}{(x + 1)(x + 2} \)

C. \( \frac{2}{(x + 1)(x + 2} \)

D. \( \frac{2}{(x + 1)(x + 3} \)

Detailed Solution

There is an explanation video available below.
25.

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

A. \( \frac{2}{15} \)

B. \( \frac{3}{24} \)

C. \( \frac{3}{21} \)

D. \( \frac{3}{28} \)

Detailed Solution




There is an explanation video available below.
26.

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3,⅓, ⅓, 7}.

Find A∩B

A. {}

B. {⅓, 1, 2}

C. {3, 4, ⅓}

D. {1, 3, ⅓}

Detailed Solution

A ∩ B = {3, 4, ⅓}
There is an explanation video available below.
27.

Find x if 132x = 70 eight.

A. 5

B. 3

C. 6

D. 1

Detailed Solution

There is an explanation video available below.
28.

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

A. N410,000

B. N365, 217

C. N157, 250

D. N257,000

Detailed Solution

Cost Price:

Selling price = 100 : (100 + 15)

= 100 : 115

Cost Price

= 100 ÷ 115 of selling price (i.e N420,000)

= 100 ÷ 115 × N420,000

= N365,217.4

∴ Cost Price = N365, 217
There is an explanation video available below.
29.

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

A. \( \frac{3}{2} \)

B. \( \frac{2}{3} \)

C. \( \frac{1}{3} \)

D. \( -\frac{3}{2} \)

Detailed Solution

There is an explanation video available below.
30.

Solve x2 − 2x − 3 = 0

A. x = 2 or 1

B. x = 3 or -1

C. x = 1 or 0

D. x = 1 or 2

Detailed Solution

There is an explanation video available below.
21.

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A. 2, ½

B. ½ , 2

C. 1, ½

D. 0, 2

Detailed Solution

The coordinate of the midpoint is \((\frac{-3 + 4}{2}, \frac{5 + (-1)}{2})\)
= \((\frac{1}{2}, 2)\)
There is an explanation video available below.
22.

Find the simple interest on N325 in 5years at 3% per annum.

A. N48.75K

B. N50.10K

C. N75.50K

D. N15.75K

Detailed Solution

There is an explanation video available below.
23.

Simplify (0.09)2 and give your answer correct to 4 significant figures

A. 0.81

B. 0.081

C. 0.0081

D. 8.0001

Detailed Solution

There is an explanation video available below.
24.

Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \)

A. \( \frac{2}{(x + 1)^2} \)

B. \( \frac{2}{(x + 1)(x + 2} \)

C. \( \frac{2}{(x + 1)(x + 2} \)

D. \( \frac{2}{(x + 1)(x + 3} \)

Detailed Solution

There is an explanation video available below.
25.

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

A. \( \frac{2}{15} \)

B. \( \frac{3}{24} \)

C. \( \frac{3}{21} \)

D. \( \frac{3}{28} \)

Detailed Solution




There is an explanation video available below.
26.

Given that A = {3, 4, 1, 10, ⅓ }

B = {4, 3,⅓, ⅓, 7}.

Find A∩B

A. {}

B. {⅓, 1, 2}

C. {3, 4, ⅓}

D. {1, 3, ⅓}

Detailed Solution

A ∩ B = {3, 4, ⅓}
There is an explanation video available below.
27.

Find x if 132x = 70 eight.

A. 5

B. 3

C. 6

D. 1

Detailed Solution

There is an explanation video available below.
28.

A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?

A. N410,000

B. N365, 217

C. N157, 250

D. N257,000

Detailed Solution

Cost Price:

Selling price = 100 : (100 + 15)

= 100 : 115

Cost Price

= 100 ÷ 115 of selling price (i.e N420,000)

= 100 ÷ 115 × N420,000

= N365,217.4

∴ Cost Price = N365, 217
There is an explanation video available below.
29.

Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \)

A. \( \frac{3}{2} \)

B. \( \frac{2}{3} \)

C. \( \frac{1}{3} \)

D. \( -\frac{3}{2} \)

Detailed Solution

There is an explanation video available below.
30.

Solve x2 − 2x − 3 = 0

A. x = 2 or 1

B. x = 3 or -1

C. x = 1 or 0

D. x = 1 or 2

Detailed Solution

There is an explanation video available below.