3.3 / TEST
TOTAL / 50
Instructions:
- The question paper consists of FOUR questions.
- You need to answer ALL questions.
- Write your name and date in the spaces provided.
- Show calculations as requested on question paper.
- You may use a calculator.
- It must be your own work.
- Check your answers.
Question 1
Simplify the following:1.1
1.2 /
/ (3)
(3)
[6]
Question 2
2.1 / Factorise the following:2.1.1
2.1.2
2.1.32.1.4 / (2)
(2)
(2)
(3)
2.2 / Simplify:
/ (3)
2.3 / If the area of the a rectangle is
squared units and its breadth is units,
determine the length of the shape
in terms of . / (2)
[12]
Question 3
3.1 / Solve for :3.1.1
3.1.2
3.1.3
3.1.4 Vervang met:
3.1.5 / (2)
(3)
(2)
(4)
(2)
3.2 / The diagram that follows shows the distances from one house (A) to another house (B).If you follow the road from house A, you pass a church and then you pass a garage before arriving at house B. The distances are given as algebraic expressions.
3.2.1Determine the value of if the total distance between
house A and B by road is 14 km. (4)
3.2.2How far is it from the church to House B in kilometres if x=2? (3)
[20]
Question 4
4.1 / Match each item in column A with an item in Column BColumn A / Column B
4.1.1 / Gradient undefined / (a) /
4.1.2 / Gradient is 0 / (b) /
4.1.3 / Gradient is positive / (c)
4.1.4 / Gradient is negative / (d) / / (4)
4.2
4.3
4.4 / The graphs of and are represented in the diagram
below.
4.2.1 Write down the -intercept of .
4.2.2Determine the equation of the line which is parallel to and passing through point A.
4.2.3 Determine the length of AB.
Determine the x-intercept of the line
Determine the gradient of the line through (-1; 2) and (0;-4). / (1)
(2)
(1)
(2)
(2)
[12]
TOTAL: 50
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