GRADE 8 BASELINE TEST 2013 MATHEMATICS. 1 Hour 30 Minutes

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1 GRADE 8 BASELINE TEST 2013 GRADE 8 BASELINE TEST MATHEMATICS 2013 MATHEMATICS 1 Hour 30 Minutes 1 Hour 30 Minutes SCHOOL:. LEARNER:.. CLASS:

2 1 Baseline Assessment Instrument Gr 8 (135 marks) Read the questions carefully and answer them in the spaces provided by using any mathematically correct strategy. Use the worksheet alongside for rough work and diagrams where asked. LO 1: Number, Operations and Relationships (40 marks) 1. Complete the sequences below by filling in the missing numbers: ; 5 698;... ; 5 706;.; (3) ,125; 0,25; 0,375;.. ;.. ;.. (3) ; - 16; - 12;..;..; ;. (4) 2.1 Answer the following questions: What is ?. (1) What is the difference between 4 and 4?.. (1) The temperature at 19:00 is 5 0 C. Between 19:00 and 24:00 the temperature decreases by 8 degrees centigrade. What is the temperature at midnight?... (1) Rewrite the following fractions as percentages and arrange the fractions and percentages in ascending order =.. %; =.. %; =...% (4)

3 .... Answer Sheet/ Worksheet Antwoordblad/Werkblad Iphepha leempendulo/ Iwekshiti

4 Rewrite the following decimal fractions as ordinary fractions and arrange both in ascending order. 0,439 =.; 0,6 =..; 1,55=.; 0,099 =.. (5) What percentage of water is in a dam that is filled to half its capacity?.. (1) Name the different prime factors of 12.. (1) Calculate: =... (1) Write in exponential notation : 25 =... (1) Calculate the value of: =.. (1) 3. Solve the following problems. Show all your calculations How much interest will an investment of R at Big Bank yield in one year at an interest rate of 10% p.a.?... (1) 3.2. The school principal travels overseas to New York and London. On his arrival in RSA he has 2 dollars($) and 10 Euro s left. The exchange rate is R10,00 for 1 dollar ($) and R15,00 for 1 Euro. How much money will he receive in Rand?. (1) 3.3. During the municipal elections of the voters voted for the Honest Party. If there are voters in the town, how many of them voted for the Honest Party? (1) 3.4. The distance from the classroom floor to the bottom edge of the window frame is 0,49 m. The height of the window is 1,41 m. The total height from the floor to the ceiling is 2,69 m. What is the distance between the top of the window and the ceiling?

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6 3.. (1) 3.5. The recipe for fruit juice is 250 ml concentrate mixed with 1 litre of water. How much concentrate must be added to 8 litres of water to make fruit juice in the same ratio? (1) 3.6. A SMS costs 75 cents with a contract phone. How much will 10 SMS s cost? (1) (3) 3.8 Calculate the following by using a calculator: X 3,47 = (1) =.. (1) ,26 9,67 =.. (1) R883,40 + R95,90 =... (1)

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8 4 LO 2: Patterns, Functions and Algebra (30 marks) 1. Sticks are used to make the following figures: Figure 1 Figure 2 Figure How many sticks are there in Figure 1? (1) 1.2 How many sticks are there in Figure 2? (1) 1.3 How many sticks are there in Figure 3? (1) 1.4. How many sticks are there in Figure 4 if the pattern is continued? (1) 1.5 Complete the table for the situation as described in Question 1: Figure number Number of sticks (3) 1.6 Describe a formula to determine the number of sticks... (3) 2. Complete the table to find out which value of y will make 5xy + 7 equal to 117. y xy (8)

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10 3.1 The cost of renting a vehicle from a certain agency is R240 per day plus R2,30 for each kilometre travelled. Complete the flow diagram: 5 (5) 3.2 Complete the table below: Number of kilometres n Total cost of rental: (3) 3.3 Cost of rental: Symbolic expression: Rental = 2,30 x x + 240, where x represents the number of kilometres Calculate the cost of rental for: 150 kilometres... (1) Solve the equation: 2,30 x x = (3)

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12 6 LO 3: Space and Shape (40 marks) 1. Complete the table below: Prism Shape of base Number of faces Number of edges Number of vertices Equiliateral triangle Square (6) 2.1 Indicate whether the following statements are true or false. Give a reason for your answer. Two 10c-coins are congruent. (3) 2.2 Identify the following 2D-shapes and 3D-objects. (i) (ii) (iii) (iv) (v) (vi) (i) (ii).. (iii).. (iv) (v)... (vi). (6)

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14 7 3. Design a net for a pyramid with a square base. (5) 4. Place a regular prism with a pentagonal base on one of its rectangular sides as indicated in the diagram below. By looking at the prism from the front, the side and from above draw the front view, side view and the top view. Front view Side view Top view (6) 5. Draw the triangle that results when ABC is reflected in the line AC. (4)

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16 8 6. Plot the following points on the grid below: A (3; 1), B (1; 4), C (3; 6), and D (5; 3) What type of figure will ABCD be? List as many properties of this figure as you can.... (10)

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18 9 LO 4: Measurement (15 marks) 1. A gift in the form of a rectangular prism is gift wrapped. Thereafter it is tied all around with a ribbon and knotted at the top with a bow. 1.1 How much ribbon is needed to tie the gift if the bow needs an extra 25 cm? (2) 1.2 Calculate the surface area of the prism: (2) 1.3. Calculate the volume of the triangular prism. The length of the sides are indicated on the diagram. 5cm Height of :h = 5 cm 8 cm 3cm.. (2)

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20 10 2. The school bus travels at a constant speed of 80 km/h. The distance to be covered is 200 km. How long will the journey take?. (1) 3. The three dimensional solids below each has a volume of 12 cm 3. Figure 1 Figure Determine the total surface area of each solid... (2) 3.2. What do you notice with regard to the surface areas of the two solids?... (1)

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22 11 4. Use a ruler and draw diagrams to illustrate each of the following angles: Type of angle Diagram Acute angle Right angle Obtuse angle Straight angle Reflex angle (5)

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24 12 LO 5: Data handling (10 marks) 1. Use the following set of data to answer the questions below: -7 ; 3 ; 4 ; -2 ; 9 ; 5 ; 7 ; 4 ; Calculate the average of the data? (2) 1.2 What is the mode of the data?.. (1) 1.3 What is the median of the data?. (2) 1.4 What is the range of the data?.. (2) 2. Study the graph which shows the languages spoken in the Western Cape. 2.1 What type of graph is used here? (1) 2.2 What language is spoken by most people in the Western Cape? (1) 2.3 Give the approximate number of English speaking people in the Western Cape. (1)

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26 .... Answer Sheet/ Worksheet Antwoordblad/Werkblad Iphepha leempendulo/ Iwekshiti

27 .... Answer Sheet/ Worksheet Antwoordblad/Werkblad Iphepha leempendulo/ Iwekshiti

General Certificate of Secondary Education Foundation Tier

Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Pages 3 Mark General Certificate of Secondary Education Foundation Tier 4 5 6 7 Mathematics (Linear) B Paper 2