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.

2,716.

A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone.

A.

\(5\frac{1}{2}cm\)

B.

\(4\frac{2}{3}cm\)

C.

\(3\frac{1}{2}cm\)

D.

\(2\frac{1}{3}cm\)

Correct answer is D

\(r=\frac{\theta \times l}{360^{\circ }}\\
r=?, \theta =60^{\circ }\), l = radius of the orginal sector of a circle = 14cm
\(r=\frac{60\times 14}{360}=\frac{7}{3}=2\frac{1}{3}cm\)

2,717.

A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the center of the circle

A.

2.5cm

B.

3.0cm

C.

3.5cm

D.

4.0cm

Correct answer is D

\(5^{2}=3^{2}+x^{2}\\
25-9=x^{2}\\
16=x^{2}\Rightarrow x=4.0\)

2,718.

The area of a square field is 110.25m2. Find the cost of fencing it round at N75.00 per meter square

A.

N1,575.00

B.

N3,150.00

C.

N4,734.30

D.

N8,268.75

Correct answer is D

N75.00 x 110.25 = N8,268.75

2,719.

If \(8^{x+1}=\frac{1}{4}\), find x

A.

\(-\frac{5}{3}\)

B.

-1

C.

\(-\frac{1}{3}\)

D.

\(\frac{1}{3}\)

Correct answer is A

\(8^{x+1}=\frac{1}{4}\\
2^{3(x+1)}=2^{-2}\Rightarrow 3(x+1)=-2\Rightarrow 3x+3=-2\\
3x=-5\Rightarrow x=\frac{5}{3}\)

2,720.

Solve the simultaneous equation: x+y=2 and 3x-2y=1

A.

x=2 and y=1

B.

x=1 and y=1

C.

x=1 and y=2

D.

x=-1 and y=1

Correct answer is B

x + y = 2 --- eqn I
3x - 2y = 1 --- eqn II
Multiply eqn by 2
2x + 2y = 2 --- eqn III
Subtract eqn II from eqnI
5x = 5 => x = 1
Substitute 1 for x in eqn 1
1 + y = 2 => y = 1