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.

3,431.

Factorize 3a\(^2\) - 11a + 6

A.

(3a - 2)(a - 3)

B.

(2a -2)(a - 3)

C.

(3a - 2)(a + 3)

D.

(3a + 2)(a - 3)

E.

(2a-3)(a + 2)

Correct answer is A

3a\(^2\) - 11a + 6

3a\(^2\) - 9a - 2a + 6

3a(a - 3) - 2(a - 3) 

= (3a - 2)(a - 3)

3,432.

For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined?

A.

y = 0

B.

y = 2

C.

y = 3

D.

y = 5

E.

y = 10

Correct answer is D

\(\frac{y + 2}{y^2 - 3y - 10}\) 

\(y^2 - 3y - 10 = 0 \implies y^2 - 5y + 2y - 10 = 0\)

\(y(y - 5) + 2(y - 5) = 0\)

\((y - 5)(y + 2) = 0\)

\(\frac{y + 2}{(y - 5)(y + 2)} = \frac{1}{y - 5}\)

\(\therefore\) At y = 5, the expression \(\frac{y + 2}{y^2 - 3y - 10}\) is undefined.

3,433.

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

A.

1/8

B.

1/4

C.

2

D.

4

E.

8

Correct answer is E

\((\frac{1}{4})^{-1\frac{1}{2}}\)

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

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

= \((\frac{1}{2})^{-3}\)

= \(2^3\)

= 8

3,434.

Find the number whose logarithm to base 10 is 2.6025

A.

400.4

B.

0.4004

C.

0.04004

D.

0.004004

E.

0.0004004

Correct answer is A

For the log to be 2.6025, there must be three digits before the decimal point.

3,435.

Simplify: log6 + log2 - log12

A.

-4

B.

-1

C.

0

D.

1

E.

4

Correct answer is C

log 6 + log 2 - log 12

= \(\log (\frac{6 \times 2}{12})\)

= \(\log 1\)

= 0