PAST QUESTIONS 2020

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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. If \(M =\) {Prime integers between \(1\) and \(11\)} and \(N =\) {factors of 12}, find:

   \((i)\) \(M \cup N\)

   \((ii)\) \(M \cap N\)


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2. Simplify \(45 \div 3 + 2 \times 8 - 12 + 42\)

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3. 

In the diagram, \(x, y\) and \(z\) are angles on a straight line. If \(x^\circ : z^\circ = 2 : 3\), and \(y = 80^\circ\), find \(x\).


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Question 2

1. Simplify: \(5(6 - ab) + 2(-7 + 3ab)\)


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2. The equation of a straight line is given by \(3x - 2y - 6 = 0\). Find the:

   \((i)\) gradient of the line;

   \((ii)\) y-intercept.


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3. Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was Gh₵ 540.00.

   \((i)\) How much bread did she sell during that week?

   \((ii)\) Find her average daily commission.


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Question 3

1. Express \((\frac{13}{15} - \frac{7}{10})\) as a percentage.


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2. Factorize: \(ay - y - a + 1\).


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3. In a fishing community of 9,400 people, the number of women exceeds the number of men by 1,500. Find the ratio of men to women in the community.


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Question 4

1. Solve: \(\frac{2x + 3}{3} + 2x = 10\)


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2. Multiply 0.03858 by 0.02, leaving the answer in standard form.


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3. A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth of the water in the container. [Take \(π = \frac{22}{7}\)]


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Question 5

1. If \(11y = (18)^2 - (15)^2\), find the value of \(y\).


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2. Find the perimeter of a circle with radius 35 cm. [Take \(\pi = \frac{22}{7}\)]


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3. Given that \(m = \frac{r - s}{2nr}\)

   \((i)\) make \(r\) the subject of the relation.

   \((ii)\) find the value of \(r\) when \(s = 117, m = 2\) and \(n = -3\).


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Solution

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Question 6

1. Copy and complete the table for the relation \(y = 12x - 9\)

   

   \((i)\) Using a scale of 2 cm to 1 unit on the \(x\) - axis and 2 cm to 10 units on the \(y\) - axis, draw on a graph sheet two perpendicular axes \(Ox\) and \(Oy\).

   \((ii)\) Using the table, plot all the points of the relation \(y = 12x - 9\) on the graph.

   \((iii)\) Draw a straight line through the points.

   \((iv)\) Use the graph to find:

   \(\hspace{0.5cm} (\alpha)\) \(y\) when \(x = 2.5\);

   \(\hspace{0.5cm} (\beta)\) \(x\) when \(y = 10\);


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2. List the integers within the interval \(7 < x \leq 14\)


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