PAST QUESTIONS 2002 B

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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 $2\frac{3}{4} \div (3\frac{3}{8} - 1\frac{1}{2})$

2. There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

   $\hspace{0.5cm} i)$ find the number of students who speak

   $\hspace{1cm} \alpha)$ both French and English
   $\hspace{1cm} \beta)$ only English.

   $\hspace{0.5cm} ii)$ Draw a Venn diagram to illustrate the above information.

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Question 2

A shop sells a pencil at ₵500.00 and a pen at ₵2,000.00.

1. If Afua bought 8 pencils and 5 pens, how much did she pay altogether for them?

2. The price of a pencil is increased by 20% and a pen by 10%. Find how much she will pay for 10 pencils and 8 pens.

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Question 3

1. Using a ruler and a pair of compasses only, construct

   $\hspace{0.5cm} i)$ triangle $ABC$ such that $|AB| = 12$ cm, $|AC| = 8$ cm and $BAC = 30^\circ$.

   $\hspace{0.5cm} ii)$ a perpendicular from $C$ to meet $AB$ at $M$.

2. Measure

   $\hspace{0.5cm} i)$ angle $ABC$

   $\hspace{0.5cm} ii)$ $|CM|$

3. Calculate the area of triangle $ABC$.

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Question 4

1. Solve the inequality $\frac{5x - 3}{6} - \frac{2x - 4}{4} < 2$

2. $i)$ Copy and complete the table of values for the relation, $y = 2x + 1$

   

   $\hspace{0.5cm} ii)$ Using a scale of 2 cm to 1 unit on the $x-$axis and 2 cm to 2 units on the $y-axis$, plot the ordered pairs $(x, y)$ on a graph sheet.

   $\hspace{0.5cm} iii)$ Use a ruler to join the points plotted.

   $\hspace{0.5cm} iv)$ Use your graph to find

   $\hspace{1cm} \alpha)$ $x$ when $y = 4$

   $\hspace{1cm} \beta)$ $y$ when $x = -2.5$

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Question 5

The table shows the number of students in JSS class who prepared various dishes for their practical.



1. $i)$ Draw a pie chart for the distribution above.

   $\hspace{0.5cm} ii)$ What dish was prepared most?

   $\hspace{0.5cm} iii)$ What percentage of students prepared Fried Rice?

2. What is the probability that a student chosen at random cooked Fried Plantain and Beans?

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