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.

3,491.

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70o at the center of the circle radius 4cm. [Take π = 22/7]

A.

2.44cm

B.

4.89cm

C.

9.78cm

D.

25.1cm

E.

50.3cm

Correct answer is B

Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360o = 25.1cm

70o =
25.1/360
x 70 = 4.89

3,492.

If logax = p, express x in terms of a and p

A.

x = u + p

B.

x = a/p

C.

x = p

D.

x = ap

E.

x = ap

Correct answer is E

\(\log_{a} x = p\)

\(x = a^p\)

3,493.

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

A.

11.25cm2

B.

12.83cm2

C.

22.0cm2

D.

67.2cm2

E.

90.2cm2

Correct answer is E

r = 3.5 cm; l = 8.2 cm.

Curved surface area = \(\pi rl\)

= \(\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}\)

= 90.2 cm\(^2\)

3,494.

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

A.

(0,6), (3,9)

B.

(-3, 0)(2,4)

C.

(-2,4)(3,9)

D.

(-2,3)(-3,2)

E.

(-2,2)(3,6)

Correct answer is C

From the graph; when x = -2, y = 4
(-2, 4)

x = 3.0, y = 9; (3,9)

(-2, 4)(3,9)

3,495.