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WAEC Mathematics Past Questions & Answers - Page 17

81.

What value of p will make (x $^2$ - 4x + p) a perfect square?

-2

-8

View answer & explanation

Correct answer is C

(x $^2$ - 4x + p)

Use the coefficient of the middle variable(-4x)

= ( $\frac{-4}{2}$ ) $^2$

= (-2) $^2$

= 4

82.

Consider the statements:

p: Stephen is intelligent

q: Stephen is good at Mathematics

If p⇒q, which of the following is a valid conclusion?

If Stephen is good at Mathematics, then he is intelligent

If Stephen is not good at Mathematics, then he is not intelligent

If Stephen is not intelligent, then he is not good at Mathematics

If Stephen is not good at Mathematics, then he is intelligent

View answer & explanation

Correct answer is B

If p implies (→) q

then not (~) q → not (~) p

Option B

83.

Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?

$(2x-8)

$(2x+8)

$(2x-2)

$(2x+2)

View answer & explanation

Correct answer is D

Mary(m), Ben(b) Jane(j) m = b +3 m = j - 5 where m = x b = x - 3 and j = x + 5 b+ j → x - 3 + x + 5 = 2x +2 Jane and Ben have $(2x+2)

84.

If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x $^2$ -9y $^2$ )?

View answer & explanation

Correct answer is D

5x + 3y=4

5x-3y= 2

Using elimination method

5x + 3y=4 → 5x + 3y=4

-[5x-3y= 2] → -5x +3y= -2

6y = 2

y → 1/3 and x = 3/5

solving (25x $^2$ -9y $^2$ )

25 * [3/5] $^2$ -9 * [1/3] $^2$

25 * $\frac{9}{25}$ - 9 $\frac{1}{9}$

9 - 1 = 8

85.

The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error

4 $\frac{4}{7}$

2 $\frac{6}{7}$

2 $\frac{7}{9}$

4 $\frac{7}{9}$

View answer & explanation

Correct answer is B

Error = 1.80 - 1.75 = 0.05

%error = $\frac{error}{original length}$

= $\frac{0.05 * 100}{1.75}$

= 2.85 or 2 $\frac{6}{7}$

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