WAEC Mathematics Past Questions & Answers - Page 207

1,031.

The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm2, find the perpendicular distance between the parallel sides.

A.

5cm

B.

7cm

C.

10cm

D.

15cm

Correct answer is C

\(\frac{1}{2}(a+b)\times h = 105cm^2\\
\frac{1}{2}(9+12)\times h = 105\\
h = \frac{105 \times 2}{21} = 10cm\)

1,032.

Simplify \(\frac{1}{1-x} + \frac{2}{1+x}\)

A.

\(\frac{x+3}{1-x^2}\)

B.

\(\frac{x-3}{1+x^2}\)

C.

\(\frac{3-x}{1-x^2}\)

D.

\(\frac{3-x}{1+x^2}\)

Correct answer is C

\(\frac{1}{1-x} + \frac{2}{1+x}\\
\frac{1+x+2-2x}{(1-x)(1+x)} = (\frac{3-x}{1-x^2})\)

1,033.

For what values of x is the expression \(\frac{3x-2}{4x^2+9x-9}\) undefined?

A.

\(\frac{-3}{4} \hspace{1mm}or \hspace{1mm}3\)

B.

\(\frac{-2}{3} \hspace{1mm}or \hspace{1mm}-3\)

C.

\(\frac{2}{3} \hspace{1mm}or \hspace{1mm}3\)

D.

\(\frac{3}{4} \hspace{1mm}or \hspace{1mm}-3\)

Correct answer is D

The equation \(\frac{3x - 2}{4x^2 + 9x - 9}\) is undefined when the denominator = 0.

\(4x^2 + 9x - 9 = 0\)

\(4x^2 + 12x - 3x - 9 = 0\)

\(4x(x + 3) - 3(x + 3) = 0\)

\((4x - 3)(x + 3) = 0\)

x = \(\frac{3}{4}\) or x = -3.

1,034.

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56o and ∠PXY = 80o.Find angle PQY

A.

34o

B.

13.36o

C.

44o

D.

46o

Correct answer is A

< XYQ = 180° - (80° + 56°)

= 44°

< PYQ = 56° (alternate angles, XP||YQ)

< QPY = 90°

< PQY = 180° - (90° + 56°)

= 34°

1,035.

Which of the following is represented by the above sketch?

A.

y = x2 + x - 6

B.

y = x2 - x - 6

C.

y = x2 - x + 6

D.

y = x2 + x + 6

Correct answer is B

From the graph, the zeros of the equation exist at x = -2 and x = 3

\(\therefore\) (x + 2) = 0 and (x - 3) = 0

\(\implies (x + 2)(x - 3) = 0\)

\(x^2 - 3x + 2x - 6 = 0\)

\(x^2 - x - 6 = 0\) is the equation represented on the graph.