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.

441.

The diagram above is a velocity- time graph of a moving object. Calculate the distance travelled when the acceleration is zero.

A.

300 m

B.

90 m

C.

150 m

D.

210 m

Correct answer is C

The acceleration is between the times 3 secs and 8 secs.

Distance = \(velocity \times time\)

= \(30 \times (8 - 3) = 30 \times 5\)

= \(150 m\)

442.

\(g \circ h\) is

A.

one- to- one

B.

onto

C.

a relation

D.

a series

Correct answer is B

The function \(y = g(x)\) is one- to- one but \(z = h(y)\) is not one- to- one but onto. 

\(\therefore h(g(x)) = onto\)

443.

From the diagram above, \(h[g(3)]\) is

A.

S

B.

\(\beta\)

C.

\({s, \beta}\)

D.

\({s, w, \beta}\)

Correct answer is B

From the diagram, \(g(3) = s; h(s) = \beta\).

444.

From the diagram above, which of the following represents the vector V in component form?

A.

\(-5\sqrt{3} i + 5j\)

B.

\(3i + 3\sqrt{3}j\)

C.

\(i + 2\sqrt{3}j\)

D.

\(-2\sqrt{3}i - j\)

Correct answer is B

\(V = V\cos \theta i + V\sin \theta j\)

\(6N = 6 \cos 60 i + 6 \sin 60 j\)

= \(3i + 3\sqrt{3} j\)

445.

The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.

A.

3.6 cm

B.

7.6 cm

C.

8.0 cm

D.

11.6 cm

Correct answer is A

Length of arc given angle in radians = \(r \theta\)

= \(4 \times 0.9 = 3.6 cm\)