(a)

In the diagram, AOB is a straight line. < AOC = 3(x + y)°, < COB = 45°, < AOD = (5x + y)° and < DOB = y°. Find the values of x and y.

(b) From two points on opposite sides of a pole 33m high, the angles of elevation of the top of the pole are 53° and 67°. If the two points and the base are on te same horizontal level, calculate, correct to three significant figures, the distance between the two points.

(a). Explain briefly the following terms:

(i) Renewable natural resources

(ii) Non -renewable natural resources;

(b) Give two examples each of:

(i) Renewable natural resources

(ii) Non -renewable natural resources

(c) State five ways of conserving forests

(d) State four effects of adding animal manure to garden soil.

(e) Give the possible genotypes in humans;

Select the option that best explains the information conveyed in the sentence. The secretary said that the postponement of the meeting was due to unforeseen circumstances?

• A. The date of the meeting was shifted as a result of unexpected reasons
• B. The meeting's date was off for strange reasons D. The meeting broke off as a bird's eye closely
• C. The meeting was called as a result of obstacles hitherto unknown
• D. The meeting broke off as a bird's eye closely

The purpose of of issuing a credit note is to?

• A. correct errors of overcharging
• B. correct errors of undercharging
• C. write off bad debts
• D. encourage immediate payment

Nigeria was a federal state under the constitution of 1954 because the constitution provided for

• A. equal representation between the North and South
• B. a division of functions between the centre and the component states
• C. direct election of mebers of parliament
• D. the post of a prime minister

Who among the following is not eligible to vote?

• A. Civil servant
• B. Retired soldier
• C. Certified bankrupt
• D. Chief magistrate

The angle between the positive horizontal axis and a given line is 135^o. Find the equation of the line if it passes through the point (2,3)

• A. x - y = 1
• B. x + y = 1
• C. x + y = 5
• D. x - y = 5

The homozygous condition HbsHbsresults in sickle cell anaemia whereas HbAHbs has the sickling trait. What is the probability that a couple with the sickling trait will give birth to one normal child?

• A. 1/2
• B. 1/4
• C. 1/8
• D. none

Use the following information to answer the question below: What is the total amount of fixed assets?

• A) ?260,000
• B) ?210,000
• C) ?180,000
• D) ?130,000

The principal use of control accounts is to

• A) localise errors within the ledgers
• B) prevent fraud
• C) Increase Sales
• D)Brecord assets and liabilities