WAEC Mathematics Past Questions & Answers - Page 85

421.

Factorize x2 + 9x + 20

A.

(x − 5) 2

B.

(x + 5)(x + 4)

C.

(x – 5)(x + 3)

D.

(x + 3) 2

Correct answer is B

\( x^2 + 9x + 20 \)

Find the two numbers whose product is 20 and its sum is 9}

\( 5x \times 4x = 20x^2\)


\(5x + 4x = 9x\)

\((x^2 + 5x) + (4x + 20)\)
\(

x(x + 5)+ 4(x + 5)

= (x + 5)(x + 4)\)

422.

Simplify 1¼ ÷ (2 ÷ ¼ of 28)

A.

1 \( \frac{3}{8}\)

B.

2 \( \frac{3}{4}\)

C.

4 \( \frac{3}{8}\)

D.

3 \( \frac{1}{5}\)

Correct answer is C

1¼ ÷ [ 2 ÷ ¼] of 28

Apply BODMAS rules

\( \frac{5}{4}\) ÷ [ 2 ÷ ¼ × 28 ]

\( \frac{5}{4} ÷ \frac{2}{7} \)


\( \frac{5}{4} × \frac{7}{2} \)

\( \frac{35}{8}\)

= \(4 \frac{3}{8}\)

423.

In the diagram, O is the centre of the circle of the circle, PR is a tangent to the circle at Q < SOQ = 86o. Calculate the value of < SQR.

A.

43o

B.

47o

C.

54o

D.

86o

Correct answer is A

Construction: draw a line from Q to point P and another line from S to point P.

< SOQ = 2< QPS (< at centre is twice < on the circumference)

< QPS \(\frac{86}{2} = 43\)

< SQR = < QPS ( < between a chord and tangent = < in the alternate segment)

< SQR = 43o

424.

Determine the value of m in the diagram

A.

80o

B.

90o

C.

110o

D.

150o

Correct answer is B

No explanation has been provided for this answer.

425.

In the figures, PQ is a tangent to the circle at R and UT is parallel to PQ. if < TRQ = xo, find < URT in terms of x

A.

2xo

B.

(90 - x)o

C.

(90 + x)o

D.

(180 - 2x)o

Correct answer is D

< URT = < TRQ (angle alternate a tangent and a chord equal to angle in the alternate segment)

< RUT = xo

In \(\bigtriangleup\) URT

< RUT + < RUT + < UTR = 180o (sum of int. < s of \(\bigtriangleup\))

< URT + x + x = 180o

< URT = 180o - 2x