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.

1,006.

Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold?

A.

0.75

B.

1.5

C.

2.25

D.

3.5

E.

6.75

Correct answer is E

- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.

Given: Heights of cylinder  -->     21 : 7 or  3 : 1 = \(\frac{3}{1}\) 

                                = 3 times height enlargement

            Volume / Capacity of larger cylinder = 3\(^3\) \(\times\) 250g 

                                = 27 \(\times\) 250g = 6,750 or 6.75kg

 

1,007.

If y varies inversely as x2, how does x vary with y?

A.

x varies inversely as y2

B.

x varies inversely as \(\sqrt{y}\)

C.

x varies directly as y2

D.

x varies directly as \(\sqrt{y}\)

E.

x varies directly as y

Correct answer is B

No explanation has been provided for this answer.

1,008.

The nth term of a sequence is given as \(4 \times 3^{(3 - n)}\). Calculate the third term.

A.

12

B.

32

C.

4

D.

3

E.

1

Correct answer is C

\(4 \times 3^{(3 - n)}\)

for the third term, n = 3

then 

\(4 \times 3^{(3 - 3)}\) = \(4 \times 3^{0}\) = 4 x 1 = 4.

 

1,009.

Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides

A.

12cm

B.

9\(\sqrt{2}\)cm

C.

6\(\sqrt{2}\)cm

D.

6cm

E.

3\(\sqrt{2}\)cm

Correct answer is C

Two angles of a triangle are 45º each and its longest side is 12cm, this simply describes an isosceles triangle

two equal angles and two equal sides

using Pythagoras theorem,

\(x^2 + x^2 = 12^2\)

 \(2x^2\) = 144

\(x^2\) = 72( after dividing b/sides by 2)

x = \(\sqrt{72} = 6\sqrt{2}\)cm.

1,010.

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{5}\))

A.

12.8cm2

B.

25.7cm2

C.

77.0cm2

D.

154.0cm2

E.

179.7cm2

Correct answer is D

No explanation has been provided for this answer.