WAEC Mathematics Past Questions & Answers - Page 334

1,666.

The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname


If more than one surname begins with a letter besides A and O, how may surnames begin with that letter

A.

2

B.

3

C.

4

D.

5

E.

6

Correct answer is E

14 of the letters of the alphabet do not appear as the first letter of surname
∴ the no. of letters that appeared = 26-14 = 12 alphabets
15 surnames begin with 10 letters beside O and A
∴ 6 surnames begin with a letter

1,668.

If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q ∩ P.

A.

(1, 4, 9, 16, 25)

B.

(1, 3, 4, 5, 7, 9, 16, 25)

C.

(1, 3, 5, 7, 9)

D.

(1, 9)

E.

Φ

Correct answer is D

Q = {1, 4, 9, 16, 25} P = { 1, 3, 5, 7, 9}
Q ∩ P = { 1, 9}

1,670.

In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?

A.

135o

B.

105o

C.

90o

D.

75o

E.

60o

Correct answer is D

\(\Delta RPS\) = Isosceles triangle

\(\therefore < RPS = \​​​​​​​frac{180° - 90°}{2}\)

= 45°

In \(\Delta QPR\),\(\sin < QPR = \frac{1}{2}\)

= 30°

\(\therefore < QPS = 30° + 45° = 75°\)