WAEC Mathematics Past Questions & Answers - Page 329

1,642.

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

A.

{a,b,c,d}

B.

{a,b,c,d,e}

C.

{a,b,c,d,e,f}

D.

{a,b,c}

E.

Φ

Correct answer is B

A = {a, b, c};  B = {a, b, c, d, e}; C = {a, b, c, d, e, f}

(A \(\cup\) B) = {a, b, c, d, e}

(A \(\cup\) C) = {a, b, c, d, e, f}

(A \(\cup\) B) \(\cap\) (A \(\cup\) C) = {a, b, c, d, e}

1,643.

What percentage of the population are married? correct to one decimal place

A.

14.8%

B.

20.4%

C.

30.5%

D.

35.2%

E.

36.5%

Correct answer is D

Married = 550 + 400 = 950

Married% = \(\frac {950}{2700}\) x \(\frac {100}{1}\)

=35.2%

1,644.

What angle represents grown up girls ? Correct to one decimal place

A.

37.5o

B.

26.7o

C.

25.7o

D.

20o

E.

3.75o

Correct answer is B

Total population = 1400 + 550 + 200 + 150 + 400 = 2700

grown up girls = 200

= \(\frac {200}{2700}\) x \(\frac {360}{1}\)

=80/3 = 26.7°

1,645.

Solve the following equation: 6x\(^2\) - 7x - 5 = 0

A.

x = 1/2 or x = -21/2

B.

x = 1/3 or x = 21/2

C.

x = 1 2/3 or x = -1/2

D.

x = 12/3 or x = 1/2

E.

x = 5/6 or x = -1

Correct answer is C

6x\(^2\) - 7x - 5 = 0

6x\(^2\) - 10x + 3x - 5 = 0

2x(3x - 5) + 1(3x - 5) = 0

(2x + 1)(3x - 5) = 0

x = \(\frac{5}{3}\) or x = \(-\frac{1}{2}\)