Mathematics 1999 Waec Past Questions and Answers

Question 41 :

• WAEC 1999

In the diagram, O is the centre of the circle ∠PQR = 75^o, ∠OPS = y^o and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y

A. 15
B. 30
C. 45
D. 75

Question 42 :

• WAEC 1999

The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x

A. 16
B. 17
C. 34
D. 90

Question 43 :

• WAEC 1999

In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ∠BAF = 65^o and ∠AFE = 85^o calculate ∠CDE

A. 20^o
B. 30^o
C. 50^o
D. 65^o

Question 44 :

• WAEC 1999

(a) Simplify \((\frac{4}{25})^{-\frac{1}{2}} \times 2^{4} \div (\frac{15}{2})^{-2}\)
(b) Evaluate \(\log_{5} (\frac{3}{5}) + 3 \log_{5} (\frac{5}{2}) - \log_{5} (\frac{81}{8})\).

Question 45 :

• WAEC 1999

(a) If \(\varepsilon\) is the set \({1, 2, 3,..., 19, 20}\) and A, B and C are subsets of \(\varepsilon\) such that A = { multiples of five}, B = {multiples of four} and C = {multiples of three}, list the elements of (i) A ; (ii) B ; (iii) C ;
(b) Find : (i) \(A \cap B\) ; (ii) \(A \cap C\) ; (iii) \(B \cup C\).
(c) Using your results in (b), show that \((A \cap B) \cup (A \cap C) = A \cap (B \cup C)\).