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.

3,336.

Simplify: \(\frac{\log \sqrt{27}}{\log {81}}\)

A.

1/6

B.

3/8

C.

1/2

D.

3/4

E.

6

Correct answer is B

\(\frac{\log \sqrt{27}}{\log 81}\)

= \(\frac{\log \sqrt{3^3}}{\log 3^4}\)

= \(\frac{\log 3^{\frac{3}{2}}}{\log 3^4}\)

= \(\frac{\frac{3}{2} \log 3}{4 \log 3}\)

= \(\frac{\frac{3}{2}}{4}\)

= \(\frac{3}{8}\)

3,337.

Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)

A.

1/4

B.

0

C.

1

D.

2

E.

4

Correct answer is D

\(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)

= \(\frac{16^{\frac{3}{4}}}{4^{\frac{1}{2}} \times 4^{\frac{1}{2}}}\)

= \(\frac{(2^4)^{\frac{3}{4}}}{4^{\frac{1}{2}} \times 4^{\frac{1}{2}}}\)

= \(\frac{2^3}{4}\)

3,338.

The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n-1}\). Find the sum of the second and third terms.

A.

-2

B.

1

C.

2

D.

6

E.

12

Correct answer is A

when n = 2

(-1)\(^{n-2}\) 2\(^{n+1}\) = 2

When n = 3

(-1)\(^{n-2}\) 2\(^{n+1}\) = -4

Sum = 2 - 4 = -2

3,339.

A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement

A.

27/9%

B.

26/7%

C.

5%

D.

277/9%

E.

284/7%.

Correct answer is B

% Error =
Error /Actual measurement
x
100/1


=
0.05/1.80
x
100/1
= 27/9%

3,340.

Convert 89\(_{10}\) to a number in base two.

A.

1101001

B.

1011001

C.

1001101

D.

101101

E.

11001

Correct answer is B

\(89_{10}\)

2 89
2 44 r 1
2 22 r 0
2 11 r 0
2 5 r 1
2 2 r 1
2 1 r 0
  0 r 1

\(89_{10} = 1011001_{2}\)