Year : 
2014
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

1 - 10 of 47 Questions

# Question Ans
1.

Find the value of 1101112 + 101002

A. 11010112

B. 10010012

C. 10010112

D. 10011112

Detailed Solution

There is an explanation video available below.
2.

A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

A. N53,000

B. N52,000

C. N51,000

D. N50,000

Detailed Solution

There is an explanation video available below.
3.

Express the product of 0.00043 and 2000 in standard form.

A. 8.6 x 10-3

B. 8.3 x 10-2

C. 8.6 x 10-1

D. 8.6 x 10

Detailed Solution

There is an explanation video available below.
4.

A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

A. N40,500

B. N45,000

C. N52,500

D. N62,000

Detailed Solution

There is an explanation video available below.
5.

If log7.5 = 0.8751, evaluate 2 log75 + log750

A. 6.6252

B. 6.6253

C. 66.252

D. 66.253

Detailed Solution

There is an explanation video available below.
6.

Solve for x in 8x-2 = 2/25

A. 4

B. 6

C. 8

D. 10

Detailed Solution

There is an explanation video available below.
7.

Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)

A. 3\(\sqrt{6} - 7\)

B. 3\(\sqrt{6} + 7\)

C. 3\(\sqrt{6} - 1\)

D. 3\(\sqrt{6} + 1\)

Detailed Solution

\(= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)

\(= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}\)

\(= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}\)

\(= \frac{4 - 3\sqrt{6} + 3}{-1}\)

\(= \frac{7 - 3\sqrt{6}}{-1}\)

\(= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}\)

\(= -7 + 3\sqrt{6}\)

\(= 3\sqrt{6}-7\)
There is an explanation video available below.
8.

Evaluate Log28 + Log216 - Log24

A. 3

B. 4

C. 5

D. 6

Detailed Solution

There is an explanation video available below.
9.

If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q

A. {6}

B. {7}

C. {6,7}

D. {5,6}

Detailed Solution

There is an explanation video available below.
10.

If gt2 - k - w = 0, make g the subject of the formula

A. \(\frac{k + w}{t^2}\)

B. \(\frac{k - w}{t^2}\)

C. \(\frac{k + w}{t}\)

D. \(\frac{k - w}{t}\)

Detailed Solution

There is an explanation video available below.
1.

Find the value of 1101112 + 101002

A. 11010112

B. 10010012

C. 10010112

D. 10011112

Detailed Solution

There is an explanation video available below.
2.

A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

A. N53,000

B. N52,000

C. N51,000

D. N50,000

Detailed Solution

There is an explanation video available below.
3.

Express the product of 0.00043 and 2000 in standard form.

A. 8.6 x 10-3

B. 8.3 x 10-2

C. 8.6 x 10-1

D. 8.6 x 10

Detailed Solution

There is an explanation video available below.
4.

A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

A. N40,500

B. N45,000

C. N52,500

D. N62,000

Detailed Solution

There is an explanation video available below.
5.

If log7.5 = 0.8751, evaluate 2 log75 + log750

A. 6.6252

B. 6.6253

C. 66.252

D. 66.253

Detailed Solution

There is an explanation video available below.
6.

Solve for x in 8x-2 = 2/25

A. 4

B. 6

C. 8

D. 10

Detailed Solution

There is an explanation video available below.
7.

Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)

A. 3\(\sqrt{6} - 7\)

B. 3\(\sqrt{6} + 7\)

C. 3\(\sqrt{6} - 1\)

D. 3\(\sqrt{6} + 1\)

Detailed Solution

\(= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)

\(= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3})-\sqrt{3}(\sqrt{2})-\sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2-(\sqrt{3})^2}\)

\(= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}\)

\(= \frac{4 - 3\sqrt{6} + 3}{-1}\)

\(= \frac{7 - 3\sqrt{6}}{-1}\)

\(= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}\)

\(= -7 + 3\sqrt{6}\)

\(= 3\sqrt{6}-7\)
There is an explanation video available below.
8.

Evaluate Log28 + Log216 - Log24

A. 3

B. 4

C. 5

D. 6

Detailed Solution

There is an explanation video available below.
9.

If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q

A. {6}

B. {7}

C. {6,7}

D. {5,6}

Detailed Solution

There is an explanation video available below.
10.

If gt2 - k - w = 0, make g the subject of the formula

A. \(\frac{k + w}{t^2}\)

B. \(\frac{k - w}{t^2}\)

C. \(\frac{k + w}{t}\)

D. \(\frac{k - w}{t}\)

Detailed Solution

There is an explanation video available below.