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.

3,511.

In the diagram above, O is the center of the circle. Calculate the length of the chord AB if |OA| = 5cm, |OD| = 3cm and ∠AOD = ∠BOD

A.

3cm

B.

4cm

C.

5cm

D.

8cm

E.

15cm

Correct answer is D

In \(\Delta DOB\), let < DOB = \(\alpha\)

In \(\Delta DOB\), \(5^2 = 3^2 + s^2\)

\(s^2 = 25 - 9 = 16\)

\(s = 4cm\)

\(\sin \alpha = \frac{4}{5}\)

\(\alpha = \frac{< AOB}{2}\)

Length of chord = \(2r \sin (\frac{\theta}{2})\)

|OB| = r = 5cm

L = \(2(5)(\frac{4}{5})\)

= 8 cm

3,512.

Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree

A.

024o

B.

114o

C.

156o

D.

204o

E.

336o

Correct answer is C

tan\(\theta\) = 9/20 = 0.45

\(\theta\) = tan\(^{-1}\) 0.45 = 24.2°

the bearing of y from x = 180 0 - 0 = 180° - 24.2°

the bearing = 155.8°

\(\approxeq\) 156°

3,513.

If 3\(^y\) = 243, find the value of y.

A.

2

B.

3

C.

4

D.

5

E.

6

Correct answer is D

3\(^y\) = 243;

3\(^y\) = 3\(^5\)

y = 5

3,514.

If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.

A.

21

B.

9

C.

7

D.

4

E.

3

Correct answer is A

Let the integer = y

∴∴ 5y - 2y = 63

3y = 63 ⟹⟹ y = 21

3,515.

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take π = 22/7]

A.

25.7o

B.

44o

C.

51.43o

D.

98o

E.

114.55o

Correct answer is E

L = 14cm, r = 7cm; \(\theta\)= ?

L = \(\frac{\theta}{360}\) x 2πr

14= \(\frac{\theta}{360}\) x 2π(7)

\(\theta = \frac{360 \times 14}{44}\)

=114.55°