WAEC Mathematics Past Questions & Answers - Page 250

1,246.

A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord

A.

16cm

B.

18cm

C.

24cm

D.

25.51cm

E.

51.1cm

Correct answer is C

No explanation has been provided for this answer.

1,247.

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.

1,248.

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.

1,249.

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

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

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

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

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

1,250.

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°