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.

3,691.

A particle P moves between points S and T such that angles SPT is always constant of ST constant. Find the locus of P

A.

It is a semi circle with ST as diameter

B.

It is a perpendicular bisector of St

C.

It is a quadrant of a circle with ST as diameter

D.

It is a straight line perpendicular to ST

Correct answer is A

No explanation has been provided for this answer.

3,692.

The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .

A.

4.0 cm

B.

5.6 cm

C.

7.0 cm

D.

3.8 cm

Correct answer is C

Volume of bowl \(\frac{2}{3}\pi r^2\\
718\frac{2}{3}=\frac{2}{3}\pi r^2\\
\frac{2156}{3}=\frac{2}{3} \times \frac{22}{7} \times r^3
∴r^3 = \frac{2156 \times 3 \times 7}{3 \times 2 \times 22}\\
r^3 = 343\\
r = \sqrt[3]{343}\\
r= 7.0cm\)

3,693.

If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is

A.

-4/3

B.

-3/4

C.

4/3

D.

3/4

Correct answer is D

If the line 3y = 4x – 1 is parallel t[ line qy = x + 3
Implies gradient of 3y = 4x – 1
Y = 4/3x - 1/3
∴Gradient = 4/3
Gradient of line qy = x + 3
Y = 1/qx + 3/q
∴ Gradient = 1/q
4/3 = 1/q
4q = 3
Q = 3/4

3,694.

Calculate the length of an arc of a circle diameter 14 cm, which substends an angle of 90o at the center of the circle

A.

7π/2 cm

B.

7π cm

C.

14π cm

D.

7π/4 cm

Correct answer is A

Length of an arc = θ/360 x 2πr
90/360 x 2 x π x 7
= /2

3,695.

If X = {all the perfect squares less than 40}
Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.

A.

{3, 9}

B.

{9}

C.

{9, 25}

D.

{1, 9}

Correct answer is D

All the perfect squares < 40
X = {1, 4, 9, 16, 25, 36}
All the odd numbers from 1 to 15
Y = {1, 3, 5, 7, 9, 11, 13, 15}
X ∩ Y = {1, 9}


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