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.

3,211.

Which of the following angles is an exterior angle of a regular polygon?

A.

95o

B.

85o

C.

78o

D.

75o

E.

72o

Correct answer is E

The formula for the exterior angle of a regular polygon = \(\frac{360}{n}\).

Among the options, only 72° is divisible by 360° to give an integer.

3,212.

In the diagram above, the value of angles b + c is

A.

180o

B.

90o

C.

45o

D.

ao

E.

do

Correct answer is A

a + c + d - 180o[sum of angles in triangle]
x = a[vertical opp. ∠s]
y + x + d = 180o[sum of ∠s in a Δ]
y + a + d = 180o
y + a + d = a + c + d
y = c
but b + y = 180o [sum of ∠s on a straight line ]
b + c = 180o; Ans = A = 180o

3,213.

The locus of a point which is equidistant from two given fixed points is the

A.

Perpendicular bisector of the straight line joining them

B.

Angle bisector of the straight lines joining the points to the origin

C.

Perpendiculars to the straight line joining them

D.

Parallel-line to the straight line joining them

E.

A line making an acute angle with the line joining the two points

Correct answer is A

No explanation has been provided for this answer.

3,214.

In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC

A.

30o

B.

45o

C.

60o

D.

75o

E.

90o

Correct answer is E

Ae is a bisector of BAC => EAC = 45o
CE is the bisector of ACD => ACE = 45o
AEC = 180o - [EAC + ACE]
    = 180o - (45o + 45o) = 180o - 90o = 90o

3,215.

If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?

A.

0.117

B.

0.118

C.

0.903

D.

0.944

E.

0.946

Correct answer is A

log\(_{10}\) x = \(\bar{2}.3675\) => x = 0.023

log\(_{10}\) y = \(\bar{2}.9738\) => y = 0.094

x + y = 0.117