Processing math: 66%
Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

436.

Evaluate cos(π2+π3)

A.

23

B.

32

C.

34

D.

43

Correct answer is B

cos(x+y)=cosxcosysinxsiny

cos(π2+π3)=cosπ2cosπ3sinπ2sinπ3

= (0×12)(1×32)

= 032=32

437.

If log93+2x=1, find x.

A.

12

B.

14

C.

14

D.

12

Correct answer is C

log93=log9(912)=12log99=12

12+2x=12x=12

x=14

438.

Express 75° in radians, leaving your answer in terms of π.

A.

5π12

B.

3π4

C.

5π6

D.

7π6

Correct answer is A

180° = \pi rads

1° = \frac{\pi}{180}

\therefore 75° = \frac{\pi}{180} \times 75

= \frac{5\pi}{12}

439.

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.

A.

-1

B.

0

C.

1

D.

2

Correct answer is A

a * a^{-1} = e = -1

\therefore a^{-1} = -1

440.

Simplify \frac{x^{3n + 1}}{x^{2n + \frac{5}{2}}(x^{2n - 3})^{\frac{1}{2}}}

A.

0

B.

-\frac{1}{2}

C.

1

D.

10

Correct answer is C

No explanation has been provided for this answer.