Explanation

PETER'S TEACHING ON CHRISTIANS' ATTITUDE TO CIVIL AUTHORITIES (1 PETER 2:13-17)

i. A Christian should be law abiding and have respect for constituted authority. .

ii. Such Christians should discharge their civic duties and responsibilities promptly to all men.

iii. Peter taught that a good Christian should submit himself to every human institution and respect them, including the authorities of the state, e.g Governors etc.

iv. For it is God who appointed kings to punish wrong doers and to reward those who do good.

v. He stressed that Christians' good behaviour, would put to shame the ignorance of foolish men.

vi. As men who have been liberated from the curse of the law, a good Christian citizen should live as a freeman without using his freedom as a pretext for evil.

vii. But he should live as an obedient servant of God.

viii. Besides, he should respect every man and love the brotherhood of believers.

ix. Furthermore, he should fear God and honour the king and rulers.

B. REASONS FOR SUBMISSION TO CIVIL AUTHORITIES

i. It enhances peace and orderliness.

ii. It ensures development in the country.

iii. Christians' obedience to the law influences people to come to know the true God.

iv. Obedience to authorities is obligatory because authorities are ordained by God.

v. Christians enjoy protection and security when laws are made and obeyed.

vi. It creates harmonious environment for the worship of God.

vii. It is a service to God as it was God's own command that Christians should be submissive to authorities

Correct Answer: B. N15 200

Correct Answer: A. am allowed to make my own decisions

Explanation

If someone gives you a free hand, they give you the freedom to use your own judgment and to do exactly as you wish

Correct Answer: C. 2:40pm

Correct Answer: D. arithmetic and logic unit

Correct Answer: B. 25°

Explanation

MPQ = PQM = 3x; ?MPQ

MPQ + PQM + PMQ = 180^o; 3x + 3x + 30^o = 180^o

6x \times 30^o = 180^o; 6x + 180^o - 30^o; 6x + 150^o

\(x = \frac{150}{6} = 25^{\circ}\)

Explanation

(a) Effective Prayers (James 1:2 - 8, 5:13 - 18):

(i) James encouraged Christians to be joyful When they face various trials for it is a test of faith, while faith produces steadfastness.

(ii) He said that steadfastness should have its full effect so that they might be perfect and lack nothing.

(iii) If anyone lacks wisdom, he should pray to God who gives generously and without reproach.

(iv) James said that Christians must repent of their sins and confess them to one another; for God is holy, and does not tolerate sin;

(v) Prayers must be made in faith without doubting, for the doubter will receive nothing.

(vi) He compared anyone who doubts with a wave of the sea that is driven and tossed by the wind.

(vii) My petition made to God must be backed by belief that God would grant the requests.

(viii) God is glorified when people pray for the right things; thus prayers should be made according to the will of God;

(ix) Christians should exercise patience by waiting upon the will and the grace of God.

(x) They must pray in humility for their prayers to be effective;

(xi) They should also be persistent in prayer by praying unceasingly till their requests are met;

(xii) James taught that the fervent prayer of the righteous had great effect.

(xiii) He gave an example of Elijah who prayed fervently for no rain and there was no rain. He prayed again, and there was rain.

(xiv) James advised that the elders of the Church should be called upon to pray for the sick.

(xv) He taught that the prayer of faith would save the sick.

(b) Reasons for unanswered prayer:

(i) Double mindedness in prayer/unbelief/lack of faith

(ii) Unforgiving spirit on the part of the person praying.

(iii) Lack of concentration.

(iv) Unconfessed sins/keeping sins in the heart

(v) Asking for things not according to the will of God;

(vi) Lack of consistency.

(vii) Arrogance.

(viii) Lack of wisdom .

(ix) Selfishness.

Correct Answer: A. sugar

Explanation

(a) (i) (3 - x), 6, (7 - 5x).

First term = a = (3 - x)

common ratio = \(\frac{6}{3 - x} = \frac{7 - 5x}{6}\)

\(36 = (3 - x)(7 - 5x)\)

\(36 = 21 - 15x - 7x + 5x^{2}\)

\(36 = 21 - 22x + 5x^{2}\)

\(5x^{2} - 22x + 21 - 36 = 0\)

\(5x^{2} - 22x - 15 = 0\)

\(5x^{2} - 25x + 3x - 15 = 0 \implies 5x(x - 5) + 3(x - 5) = 0\)

\((x - 5)(5x + 3) = 0\)

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

(ii) Constant ratio = \(\frac{6}{3 - x} = \frac{7 - 5x}{6}\)

Using x = 5,

\(r = \frac{7 - 5(5)}{6} = \frac{-18}{6}\)

= \(-3\)

(b)Considering \(\Delta\) AOC

\(b^{2} = 4^{2} + 3^{2}\)

\(b^{2} = 16 + 9 = 25\)

\(b = \sqrt{25} = 5 cm\)

Considering \(\Delta\) ACD,

Using cosine rule,

\(\cos D = \frac{a^{2} + b^{2} - c^{2}}{2ab} = \frac{a^{2} + c^{2} - b^{2}}{2ac}\)

= \(\frac{6^{2} + 7^{2} - 5^{2}}{2 (6)(7)}\)

= \(\frac{36 + 49 - 25}{84}\)

\(\cos D = \frac{60}{84}\)

\(\cos D = 0.714\)

\(D = \cos^{-1} (0.714)\)

\(D = 44.4° \approxeq 44°\) (to the nearest degree)

Correct Answer: D. industrial concern that is into production and selling of goods

Explanation

An industry; economic activity concerned with the processing of raw materials and manufacture of goods in factories.