Waec Mathematics Past Questions and Answers

Question 651:

• 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 652:

• WAEC 1999

(a) Simplify $(\frac{4}{25}{)}^{-\frac{1}{2}}\times 2^4÷(\frac{15}{2}{)}^{-2}$
(b) Evaluate ${\log }_5(\frac{3}{5})+3{\log }_5(\frac{5}{2})-{\log }_5(\frac{81}{8})$.

Question 653:

• WAEC 1999

(a) If $\epsilon$ is the set $1,2,3,...,19,20$ and A, B and C are subsets of $\epsilon$ 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 $(A\cap B)\cup (A\cap C)=A\cap (B\cup C)$.

Question 654:

• WAEC 1999

ABC is a triangle, right-angled at C. P is the mid-point of AC, < PBC = 37° and |BC| = 5 cm. Calculate :
(a) |AC|, correct to 3 significant figures ;
(b) < PBA.

Question 655:

• WAEC 1999

In the diagram, ABCD is a trapezium in which $AD\parallel BC$ and $<ABC$ is a right angle. If |AD| = 15 cm, |BD| = 17 cm and |BC| = 9 cm, calculate :
(a) |AB| ;
(b) the area of the triangle BCD ;
(c) |CD| ;
(d) perimeter of the trapezium.