1995 - WAEC Mathematics Past Questions and Answers - page 1

You can convert it to base 10 and square, then re-convert it after the operation. 

OR

You can multiply it straight applying the rules of binary multiplication.

Ratio = 6 + 7 + 8 = 21
21 = N10.50
1 = 1050K/21 = 50K
6 = 6 x 50K = N3.00
7 = 7 x 50K = N3.50
8 = 8 x 50K = N4.00
the Largest share = N4.00

Log₂a = Log₈4
Log₂a = Log₈8^2/3 → 2/3Log₈8 → 2/3 x 1
Log₂a = 2/3
Recall; If Log_ax = y ∴ ay = x
Log₂a = 2/3
2^2/3 = a

S.P = N600.00

(100 + 50)% = N600

150% = N600

1% = \(\frac{600}{150}\)

100% = \(\frac{600}{150} \times 100%\)

= N400

A.P 11, 4, -3
1st term = 11
A.P = a, a + d, a + 2d ...... a + (n - 1)d
If a = 11
a + d = 4
d = 4 - 11 = -7
nth term = a + (n-1)d
         = 11 + (n-1)(-7)
         = 11 - 7n + 7
         = 18 - 7n

16/9, x, 1, y => a, ar, ar², ar³
ar² = 1 => 16r²/9 = 1 => 16r²
9 => r² = 9/16 => r = 3/4
ar² = y = ar² x r = 1 x 3/4 = 3/4
x xy = 4/3 x 3/4 = 1

R = {2, 4, 6, 7}; S = {1, 2, 4, 8}

R \(\cup\) S = {1, 2, 4, 6, 7, 8}

\(\frac{6x - 1}{x^2 + 4x - 5}\)

The expression is undefined when \(x^2 + 4x - 5 = 0\)

\(x^2 + 5x - x - 5 = 0\)

\(x(x + 5) - 1(x + 5) = 0\)

\((x - 1)(x + 5) = 0\)

The expression is undefined when x = 1 or -5.

Gradient of the line = \(\frac{3 - 0}{0 - 1}\)

= -3

y = -3x + b.

Using (1,0), we have

0 = -3(1) + b

0 = -3 + b

b = 3

y = -3x + 3

\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.