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.

671.

If the simple interest on a sum of money invested at 3% per annum for 2\(\frac{1}{2}\)  years is N123, find the principal.

A.

N676.50

B.

N820

C.

N1,640

D.

N4,920

Correct answer is C

No explanation has been provided for this answer.

672.

Make T the subject of the relation.

A.

T = \(\frac{R + P3}{15Q}\)

B.

T = \(\frac{R - 15P^3}{Q}\)

C.

T =R - \(\frac{15P^3}{Q}\)

D.

T = \(\frac{15R + Q}{P^3}\)

Correct answer is C

P = (\(\frac{Q( R - T )}{ 15})^\frac{1}{3}\)

take cube of both sides

\(P^3 =\frac{Q( R - T)}{ 15}\)

cross multiply

\(15P^3 = Q( R - T)\)

\(\frac{15P^3}{Q}\) = R - T 

T = R - \(\frac{15P^3}{Q}\) 

673.

Simplify

\(\frac {25^{\frac{2}{3}} \div  25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)

A.

25

B.

1

C.

\(\frac{1}{5}\)

D.

\(\frac{1}{25}\)

Correct answer is A

\(\frac {25^{\frac{2}{3}} \div  25^{\frac{1}{6}}} {(\frac{1}{5})^{\frac{7}{6}} \div (\frac{1}{5})^{\frac{1}{6}}}\)

= \(\frac{25^{\frac{2}{3} - \frac{1}{6}}}{(\frac{1}{5})^{\frac{7}{6} - \frac{1}{6}}}\)

= \(\frac{25^{\frac{1}{2}}}{(\frac{1}{5})}\)

= \(5 \div \frac{1}{5}\)

= 25

674.

An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = \(\frac{22}{7}\))

A.

14.67cm

B.

73.33 cm

C.

101.33cm

D.

513.33cm

Correct answer is C

Length of the arc = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{300}{360} \times 2 \times \frac{22}{7} \times 14\)

= \(\frac{220}{3}\)

= 73.33 cm

Perimeter of the sector = Length of the arc + 2r

= 73.33 + 2(14)

= 101.33 cm

675.

The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.

A.

\(\frac {1}{10}\)

B.

\(\frac {2}{10}\)

C.

\(\frac {9}{20}\)

D.

\(\frac {11}{20}\)

Correct answer is D

Pr(both John and James passed)

  = \(\frac {3}{4}\) x \(\frac {3}{5}\)

  = \(\frac {9}{20}\)

  Pr(john and james failed)= 1- Pr(john and james passed)

  = 1 – \(\frac {9}{20}\)

  = \(\frac {11}{20}\)

  Answer is D