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.

3,446.

Use mathematical table to evaluate (cos40° - sin30°)

A.

-0.2660

B.

-0.0266

C.

0.0266

D.

0.2660

E.

1.5320

Correct answer is D

(cos 40° - sin 30°)

= 0.7660 - 0.5

= 0.2660

3,447.

Which of the sketches above gives a correct method for constructing an angle of 120o at the point P?

A.

I only

B.

II only

C.

III only

D.

I and II only

E.

I, II and III

Correct answer is D

No explanation has been provided for this answer.

3,448.

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.

A.

20o

B.

30o

C.

35o

D.

40o

E.

50o

Correct answer is E

From the figure < TAB = < BTQ = 40° (alternate segment)

\(\therefore\)< ATB = 180° - (70° + 40°) = 70° (angle on a straight line)

< BTC = \(\frac{40°}{2} = \frac{< BTQ}{2}\)

\(\therefore < BTQ = 40°\)

x° = 180° - (40° + 70° + 20°) 

= 50° 

3,449.

In the diagram below, O is the center of the circle if ∠QOR = 290o, find the size ∠QPR

A.

110o

B.

70o

C.

55o

D.

35o

E.

20o

Correct answer is D

360o - 290o = 70o
70/2 = 35o

3,450.

In the diagram above, PQRS is a cyclic quadrilateral, ∠PSR = 86o and ∠QPR = 38o. Calculate PRQ

A.

58o

B.

53o

C.

48o

D.

43o

E.

38o

Correct answer is C

PQR = 180o - 86o = 94o
∴PRQ = 180o - 94o - 36o = 48o