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.

3,121.

Which of the following is not necessarily true of a rectangle?

A.

The diagonals are equal

B.

The diagonals bisect each other

C.

The diagonals are perpendicular

D.

Each diagonal divides the area of the rectangle equally

E.

Each diagonal divides the rectangle into two congruent triangles

Correct answer is C

No explanation has been provided for this answer.

3,122.

If two triangles are similar, which of the following is true? Their

A.

Corresponding sides are equal

B.

Corresponding angles are equal

C.

Corresponding altitudes are equal

D.

Areas are equal

E.

Perimeters are equal

Correct answer is B

No explanation has been provided for this answer.

3,123.

Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.

A.

104

B.

103

C.

102

D.

101

E.

10-1

Correct answer is C

\(\frac{1}{2} \log_{10} P = 1\)

\(\log_{10} P^{\frac{1}{2}} = 1\)

\(P^{\frac{1}{2}} = 10^{1}\)

\(\implies P = 10^{2}\)

3,124.

TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT

A.

44o

B.

46o

C.

60o

D.

74o

E.

118o

Correct answer is C

Reflex < POQ = 360° - 148° = 212°

< PRO = 360° - 330° = 30°

But < ORT = 90° \(\implies\) < PRT = 90° - 30° = 60°

3,125.

O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, ∠PQT = 42o and ∠QTR = 64o; Find ∠QRT

A.

68o

B.

64o

C.

42o

D.

32o

E.

22o.

Correct answer is A

TQR = 90 - 42 = 48o
QRT = 180 - (64 - 48)
    = 180 - 112
    = 68o