Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

3,861.

A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit?

A.

N2,160.00

B.

N1, 620.00

C.

N630.00

D.

N360.00

Correct answer is D

C.P = N1800
S.P = (270/5) x 40 = N2160.00
Profit = S.P - C.P = N2160 - N1800 = N360.00

3,862.

Find (\(\frac{1}{0.06} \div \frac{1}{0.042}\))-1

A.

1.43

B.

1.53

C.

3.14

D.

4.42

Correct answer is A

\((\frac{1}{0.06} \div \frac{1}{0.042})^{-1}\)

= \((\frac{100}{6} \div \frac{1000}{42})^{-1}\)

= \((\frac{100}{6} \times \frac{42}{1000})^{-1}\)

= \((\frac{7}{10})^{-1}\)

= \(\frac{10}{7}\)

= 1.4285 \(\approxeq\) 1.43.

 

3,863.

In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

A.

20

B.

16

C.

8

D.

4

Correct answer is A

Using a venn diagram, let x = number who offer both Maths and Physics. So that (32-x) offer Maths and another (24-x) offer Physics.
(32-x) + (24-x) + (x) + (4 who offer neither) = 40
=> 60 - x = 40
=> -x = -20
Therefore x = 20.

3,864.

Simplify 213\(_4\) x 23\(_4\)

A.

103114

B.

103214

C.

122314

D.

132114

Correct answer is C

You can either multiply directly in base 4 or you can decide to convert to base 10 and do the multiplication and re-convert.

3,865.

Evaluate \(log_{\sqrt{2}}4+log_{\frac{1}{2}}16-log_{4}32\)

A.

-5.5

B.

-2.5

C.

2.5

D.

5.5

Correct answer is B

Note that if we set \(log_{\sqrt{2}}4 = x_{1}, \hspace{1mm}solving\hspace{1mm}gives\hspace{1mm}x_{1}=4\\if\hspace{1mm}log_{\frac{1}{2}}16 = x_{2}, \Rightarrow x_{2} = -4\\Also \hspace{1mm}for\hspace{1mm}log_{4}32 = x_{3} = 2.5\\Combining\hspace{1mm}results,\hspace{1mm}x_{1}+x_{2}+x_{3} = 4+(-4)-2.5=-2.5\)
Note that the solution has been separated to simplify solving difficulty due to different bases.