Loading [MathJax]/jax/output/HTML-CSS/jax.js

WAEC Further Mathematics Past Questions & Answers - Page 70

346.

p and q are statements such that $p \implies q$ . Which of the following is a valid conclusion from the implication?

$q \implies p$

$\sim q \implies p$

$\sim q \implies \sim p$

$\sim p \implies \sim q$

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

347.

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

$\frac{-5}{7}$

$-\frac{2}{5}$

$\frac{2}{5}$

$\frac{5}{7}$

View answer & explanation

Correct answer is B

$S_{\infty} = \frac{a}{1 - r}$ (Sum to infinity of a GP)

$250 = \frac{350}{1 - r} \implies 250(1 - r) = 350$

$350 = 250 - 250r \implies 350 - 250 = -250r$

$250r = -100 \implies r = \frac{-100}{250} = -\frac{2}{5}$

348.

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

12.6 cm

12.0 cm

9.6 cm

9.0 cm

View answer & explanation

Correct answer is D

Length of arc (in radians) = $r \theta$

$10.8 = 1.2r$

$r = \frac{10.8}{1.2} = 9.0 cm$

349.

The gradient of point P on the curve $y = 3x^{2} - x + 3$ is 5. Find the coordinates of P.

(1, 5)

(1, 7)

(1, 13)

(1, 17)

View answer & explanation

Correct answer is A

$y = 3x^{2} - x + 3$

$\frac{\mathrm d y}{\mathrm d x} = 6x - 1 = 5$

$6x = 5 + 1 = 6 \implies x = 1$

$y = 3(1^{2}) - 1 + 3 = 3 - 1 + 3 = 5$

$P = (1, 5)$

350.

Given that $2^{x} = 0.125$ , find the value of x.

-1

-2

-3

View answer & explanation

Correct answer is D

$2^{x} = 0.125 = \frac{125}{1000}$

$2^{x} = \frac{1}{8} = 8^{-1}$

$2^{x} = 2^{-3}$

$x = -3$

WAEC Subjects

Literature in English

Islamic Religious Knowledge

Christian Religious Knowledge

Aptitude Tests

Typing Speed and Accuracy Test

Numerical Reasoning Questions and Answers

Spatial Reasoning Questions and Answers

Verbal Reasoning Questions and Answers

Abstract Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Logical Reasoning Questions and Answers

Personality Test

Situational Judgement Questions and Answers

Puzzles Questions and Answers

Quantitative Reasoning Questions and Answers

Data Interpretation Questions and Answers

Microsoft Office Questions and Answers

See all →

View latest jobs in Nigeria today