WAEC Mathematics Past Questions & Answers - Page 202

1,006.

Which of the following is not a rational number?

A.

-5

B.

\(\sqrt{4}\)

C.

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

D.

\(\sqrt{90}\)

Correct answer is D

No explanation has been provided for this answer.

1,007.

The number of goals scored by a school team in 10 netball matches are as follows: 3, 5, 7, 7, 8, 8, 8, 11, 11, 12. Find the probability that in a match, the school team will score at most 8 goals.

A.

\(\frac{7}{10}\)

B.

\(\frac{2}{5}\)

C.

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

D.

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

Correct answer is A

Number of at most 8 goals = 7

P(at most 8 goals) = \(\frac{7}{10}\)

1,008.

Given that \(p = x-\frac{1}{x} and\hspace{1mm}q = x^2 + \frac{1}{x^2}\) express q in terms of p.

A.

(p2 + 2)

B.

(p - 2) 2

C.

(p + 2) 2

D.

(p2 - 2)

Correct answer is A

Given \(p = x - \frac{1}{x}\); \(q = x^2 + \frac{1}{x^2}\).

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

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

\(p^2 = q - 2 \implies q = p^2 + 2\)

1,009.

In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°. Calculate ∠PQR

A.

100o

B.

96o

C.

94o

D.

86o

Correct answer is D

< OSR = < ORS = \(\frac{180° - 64°}{2}\) = 58°

< PSR = 36° + 58° = 94°

< PSR + < PQR = 180°

94° + < PQR = 180° \(\implies\) < PQR = 180° - 94° = 86°

1,010.

In the diagram, \(QR||TP and W\hat{P}T = 88^{\circ} \). Find the value of x

A.

92o

B.

68o

C.

67o

D.

23o

Correct answer is C

Sum of the angles in a triangle = 180°

3x - 180° + 92° + x = 180°

4x - 88° = 180°

4x = 268°

x = 67°