(a) The angle of a sector of a circle radius 7cm is 108°. Calculate the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

(b) A boat is on the same horizontal level as the foot of a cliff, and the angle of depression of the boat from the top of the cliff is 30°. If the boat is 120m away from the foot of the cliff, find the height of the cliff correct to three significant figures.

The percentage of the original nuclei of the sample of a radioactive substance left after 5 half - lives is

• A. 8%
• B. 5%
• C. 3%
• D. 1%

Plants that are highly tolerant of drought and can survive in dry habitats are referred to as?

• A. hydrophytes
• B. mesophytes
• C. tropophytes
• D. xerophytes

According to Paul in Romans when civil authorities mete out punishment upon evil doers, they do so as the

• A. agents of God's wrath
• B. oppressors of the poor
• C. agents of darkness of this world
• D. representatives of angelic powers

Inventor John Friedman created a prototype of the first flexible straw by inserting a screw into a paper straw and, using dental floss, binding the straw tightly around the ______ When the floss and screw were removed, the resulting corrugations in the paper allowed the straw to bend easily over the edge of a glass. Which choice completes the text so that it conforms to the conventions of Standard English?

• A) screw
• B) screws
• C) screw
• D) screws threads

In a one-party state

• A. only one party is recognized officially and there is no legal opposition
• B. only one political party wins elections all the time
• C. two or more parties join together after a general election
• D. the government has power to disband other political parties

Ezekiel Malgwi is a retailer. He recorded sales representing 95% cash and 5% credit. He took the total cash sales of N19000 from the business tray and banked it. The credit sales for the period would be?

• A. N5000
• B. N1900
• C. N1000
• D. N950

A complete set of financial statements for Hartman Company, at December 31, 1999, would include each of the following except:

• A) Balance sheet as of December 31,1999
• B) Income statement for the year ended December 31, 1999
• C) Statement of projected cash flows for 2000
• D) Notes containing additional information that is useful interpreting the financial statements

What is the term given to the action of discontinuing a session of a parliament or other legislative assembly without dissolving

• A. Adjournment
• B. Postponement
• C. Prorogation
• D. Recess

If x - 4 is a factor of x² - x - k, then k is

• A. 4
• B. 12
• C. 20
• D. 2