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.

1,466.

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

Length of arc = circumference of the base of the

cone \(\frac{\theta}{360} \times 2\pi R = 2 \pi r\)

\(\frac{\theta R}{360}\) = r

r = \(\frac{60 \times 14}{360}\)

= \(\frac{7}{3} = 2\frac{1}{3}\)cm

1,467.

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

A.

N1,575.00

B.

N3,150.00

C.

N4,734.30

D.

N8,268.75

Correct answer is B

Area = 110.252

f2 = 110.25(square)

l = \(\sqrt{110.25}\) = 10.5m

Since N75.00 per metre

N75.00 = 1 metre; x = 10.5m

x = 787.5 for one side, then four sides = N787.5 x 4

= N3,150.00

1,468.

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

A.

2.5cm

B.

3.0cm

C.

3.5cm

D.

4.0cm

Correct answer is D

Distance(d) = d2 = 52 - 32

= 25 - 9

= 16

d = \(\sqrt{16}\)

= 4cm

1,469.

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

A.

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

B.

-1

C.

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

D.

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

Correct answer is D

8x-1 = \(\frac{1}{4}\)

23(x - 1 = 2-2

3x - 3 = -2

3x = -2 + 3

3x = 1

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

1,470.

Solve the simultaneous equations 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........... (i)

3x - 2y = 1......(ii)

From (i): x = 2 - y ..........(iii)

subt. (2 - y) for x in (ii)

3(2 - y) 2y = 1

6 - 3y - 2y = 1

-5y = 1 - 6 = -5

y = \(\frac{-5}{-5}\) = 1

subst. (i) for y in (iii)

x = 2 - 1 = 1

x = 1, y = 1