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.

1,936.

PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60o. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A.

25cm

B.

18cm

C.

36cm

D.

29cm

E.

25.5cm

Correct answer is A

Circumference of PRS = \(\frac{\pi}{2}\) = \(\frac{22}{7}\) x \(\frac{7}{1}\) x \(\frac{1}{2}\)

= 11cm

Side PT = 7cm, Side TR = 7cm

Perimeter(PTRS) = 11cm + 7cm + 7cm

= 25cm

1,937.

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

A.

\(\frac{9a^2}{2a^3}\)

B.

\(\frac{3}{2a^3}\)

C.

\(\frac{2}{3a^2}\)

D.

\(\frac{3a^2}{2}\)

Correct answer is B

\(\sqrt[3]{\frac{27a ^{-9}}{8}}\) = \(\frac{3a^{-3}}{2}\)

= \(\frac{3}{2}\) x \(\frac{1}{a^3}\)

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

1,938.

On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.

A.

6.00cm2

B.

6.10cm2

C.

6cmv

D.

6.09cm2

E.

4.00cm2

Correct answer is B

Area of the paper = area of square = L x B or S2

where s = S x k

Area of the paper = (2.524)2

area of the diagram = (0.524)2

area not covered = (2.524)2 - (0.524)2

= 6.370576 - 0.274576

= 6.096

= 6.10cm2 (2 s.f)

1,940.

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

A.

20o 34'

B.

243o 26'

C.

116o 34'

D.

63o 26'

E.

240o 56'

Correct answer is B

Let the bearing of H from P be represented by x°.

\(\tan \theta = \frac{30}{60} = 0.5\)

\(\theta = \tan^{-1} (0.5) = 26.565°\)

\(x = 180° + (90 - 26.565)\)

\(x = 180 + 63.435 = 243.435°\)

= \(243° 26'\)