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.

3,046.

Calculate the value of Y in the diagram

A.

18o

B.

42o

C.

48o

D.

132o

Correct answer is C

x = 180° - 123° = 57°

z = 180° - 105° = 75°

y = 180° - 57° - 75° = 48°

3,047.

In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ

A.

50o

B.

62o

C.

112o

D.

115o

Correct answer is D

In triangle RXY, < RXY = < RYX (base angles of an isosceles triangle)

\(\implies\) 180° - 62° = 2 < RYX

118° = 2 < RYX \(\implies\) < RYX = 59°

In triangle RYZ, < RZY = 62° (base angles of an isosceles triangle)

\(\therefore\) < RYZ = 180° - (62° + 62°)

= 180° - 124° = 56°

\(\therefore\) < XYZ = 56° + 59°

= 115°

3,048.

Which of the following figures have one line of symmetry only?

I. Isosceles triangle

II. Rhombus

III. Kite

A.

I and II only

B.

II and III only

C.

I and III only

D.

I, II, and III

Correct answer is C

Isosceles triangle and Kite shapes have 1 line of symmetry each while the rhombus has 2 lines of symmetry.

3,049.

The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?

A.

5

B.

6

C.

8

D.

9

Correct answer is B

Let the exterior angle = d

Note: Exterior angle + Interior angle = 180°

\(\implies\) d + 2d = 180°

3d = 180° \(\implies\) d = 60°

Recall, exterior angle = \(\frac{360}{\text{no of sides}}\)

\(\therefore \text{No of sides} = \frac{360}{60}\)

= 6 sides

3,050.

A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French?

A.

\(\frac{2}{11}\)

B.

\(\frac{4}{11}\)

C.

\(\frac{5}{11}\)

D.

\(\frac{11}{13}\)

Correct answer is A

Let the number of people that speak both English and French = x

Then (7 - x) + x + (6 - x) = 11

13 - x = 11 \(\implies\) x = 2.

\(\therefore\) P(picking a person that speaks both languages) = 2/11