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.

3,216.

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

A.

136o

B.

120o

C.

108o

D.

100o

E.

96o

Correct answer is D

No explanation has been provided for this answer.

3,217.

In the diagram above, AO is perpendicular to OB. Find x

A.

7.5o

B.

15o

C.

22.5o

D.

30o

E.

38.6o

Correct answer is D

4x + 3x + 2x + 90 =360° [angle at a point]

9x + 90 = 360°

9x = 360° - 90°

9x = 270

x = 270/9

x = 30°

3,218.

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

A.

20o

B.

25o

C.

30o

D.

35o

E.

40o

Correct answer is A

< DBC = 35° (base angles of an isosceles triangle)

< CDB = 180° - (35° + 35°)

= 110°

< ADB = 70°; < ADB = 90°

\(\therefore\) < BAO = 180° - (70° + 90°)

= 20°

3,219.

The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector

A.

6 3/5cm

B.

6 4/5cm

C.

7 1/10cm

D.

10 2/5cm

E.

13 3/5cm,

Correct answer is E

Perimeter of sector = \(\frac{\theta}{360°} \times 2\pi r + 2r\)

= \(\frac{108}{360} \times 2 \times \frac{22}{7} \times \frac{7}{2} + 2(\frac{7}{2})\)

= \(6 \frac{3}{5} + 7\)

= \(13 \frac{3}{5} cm\)

3,220.

A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?

A.

31/2cm

B.

7cm

C.

1O1/2cm

D.

14cm

E.

21cm

Correct answer is B

The length of the arc subtended by the sector of angle 120° = circumference of the base of the cone.

\(\frac{120}{360} \times 2 \times \frac{22}{7} \times 21 = 2\pi r\)

\(44 = 2\pi r\)

\(r = 22 \div \pi\)

\(r = 22 \times \frac{7}{22}\)

r = 7 cm