PAST QUESTIONS 2002 A

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Try the questions first, using not more than 15 minutes for each question, and watch the accompanying videos to see how the questions are solved.

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Question 1

1. Simplify \(2\frac{3}{4} \div (3\frac{3}{8} - 1\frac{1}{12})\)

2. A ribbon of length 3 m is to be cut into strips of length 14 cm.

   \(i)\) How many strips of length 14 cm were cut?

   \(ii)\) What length of ribbon remained?

3. One-fourth of a number is added to one-fifth of the number. If the result is 18, find the number.

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Question 2

A trader took a loan of ₵1,800,000.00 at an interest of \(12\frac{1}{2}\) percent per annum. It was agreed that the loan and the interest must be paid in one year equal monthly instalments.

1. Calculate

   \(i)\) the interest on the loan.

   \(ii)\) the amount to be paid at the end of the year.

   \(iii)\) the monthly instalment.

2. Another trader took a loan at the same rate of interest and conditions. If she had to pay ₵200,000.00 monthly instalments, find to the nearest cedi, how much she took.

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Question 3

A teacher conducted a class test and the results is displayed in the frequency table below.



1. Using the frequency table, find:

   \(i)\) the modal mark for the class.

   \(ii)\) the number of candidates who wrote the test.

   \(iii)\) the mean mark for the test.

2. If the teacher decides that the pass mark is 4, what is the probability that a student chosen at random from the class failed the test?

3. Draw a bar chart for the distribution.

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Question 4

1. Three numbers are in the ratio \(2:3:4\) and their average is 36.

   \(i)\) Calculate the sum of the three numbers.

   \(ii)\) Find the greatest number.

2. It costs ₵875,000.00 to tile a rectangular floor measuring 7 m by 5 m. How much does it cost to tile a floor measuring 8 m by 4 m if the same type of tiles is used?

3. It is estimated that the population of a village increases by 10 percent every five years. If the population of the village is 150,000 this year, what will be the estimated population ten years from now?

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Question 5

The diagram below is a plane figure made up of a rectangle of sides 50 cm by 28 cm and an equilateral triangle of height 24.25 cm. A circle is cut out of the rectangle as shown. If the circle touches three sides of the rectangle, calculate

1. the perimeter of the figure.

2. the area of the remaining portion of the figure. [Take \(\pi = \frac{22}{7}\)]

   

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