GRADE 9 MATHS EXAM. Time: 1 hour and 30 minutes. Marks: 75. Instructions: even to be used as calculators. Distribution of Cognitive Levels

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1 GRADE 9 MATHS EXAM Time: 1 hour and 30 minutes Marks: 75 Instructions: 1. The question paper consists of 9 pages, including this one. An Answer sheet is also attached. 2. Read the Questions and Instructions carefully, paying attention to mark allocation. 3. It is in your own interest to write legibly and to present your work neatly. 4. Number your answers exactly as the questions have been numbered. 5. All the necessary working details must be clearly shown. 6. Calculators MAY be used in this paper. 7. Diagrams are not necessarily drawn to scale. 8. Cell phones and other electronic devices may not be brought into the examinations room, not even to be used as calculators. 9. Include units as part of ALL your answers 10. Round off all answers to two decimal places. 11. Use your time sagaciously: spend no more than half an hour on every 25 marks. Distribution of Cognitive Levels Level Marks % 23% 25% 17% 35%

2 QUESTION 1 1. If and and calculate the value of (2) 2. Determine which of the following is the largest value: (2) 3. Round off each of the following to three decimal place 3.1 (1) 3.2 (1) 4. Simon was asked to solve for in the equation: His working is shown: STEP 1 STEP 2 Comment on two mistakes in Simon s working in STEP 1. There is no need to correct the mistakes. (4) 5. According to your calculator However, this is not so! 5.1 Why do you think this error occurs? (1) 5.2 Use your knowledge of substitution in Mathematics to determine the correct answer. It is NOT necessary to use a CALCULATOR or LONG MULTIPLICATION (4) 2 6. If n means n 2n 1, then calculate the value of (3) 18 marks 2

3 QUESTION 2 1. A playground is in the form of a rectangle with the length longer than the breadth. A new rectangular playground is planned that will be longer than the original length and with breadth shorter than that of the original breadth. 1.1 Determine the difference in perimeter of the two playgrounds (5) 1.2 If both play grounds are to have the same area, determine the dimensions of the original playground (8) 13 marks QUESTION 3 1. A cow is tethered by a 100m rope to the inside corner of a L-shaped building, as shown in the sketch below. Find the area that the cow can graze. 20m cow 50m 100m 60m 50m (10) 10 marks 3

4 QUESTION 4 1. Below are three different views of a three-dimensional figure made from cubes. Which could be a drawing of the figure? Figure A Figure B Figure C Figure D (2) 2. Given the figure below, answer the questions that follow: 4

5 2.1 Which term identifies the shaded part in the centre of the figure? (1) 2.2 How many quadrilaterals do you see in the figure? (1) 2.3 Are all the triangles congruent? (1) 5

6 3. Which scatter plot best shows the relationship between a person s height and the time that person spends watching television. Give a reason for your answer. Figure A Figure B Figure C Figure D (2) 4. In the centre section of a fan shaped auditorium each row has 2 more seats than the row in front of it. The front row contains 23 seats. 4.1 Create a formula that can help find the number of seats in any row. (2) 4.2 How many seats are there in the 42 nd row? (2) 5. Which best describes the circled portion of the equation? a) expression b) variable c) term d) coefficient (1) 12 marks 6

7 QUESTION 5 1. In the community around Sizanani High School, a survey was conducted and the learners found that 30 people were physically challenged. - Seven were visually challenged; two of the seven were learners at the school. - Fifteen were paraplegics using wheelchairs, of which five were learners of the school. - The remaining eight people were adults who were deaf. 1.1 Represent the information above in the table below provided on your ANSWER SHEET Visually Challenged Paraplegic Deaf Adults Learners Adults Learners Adults TOTAL: TOTAL: TOTAL: 1.2 If there are 210 learners in the Sizanani High School, calculate the percentage of physically challenged learners in the school. (2) 1.3 Calculate the total number of physically challenged adults in the community. (2) 1.4 If the answer in 1.3 represents of the adults of the community, how many adults are there in the community? (3) (3) 10 marks 7

8 QUESTION 6 1. A square has been subdivided into various parts. For example, part A is a of the whole square. Now give the fraction of the square as a whole that parts B, C, D and E represent. (4) 2. Water is poured steadily into different shaped vases as shown below. For each vase, sketch a graph of Depth against Time, which models how the depth of the water varies:

9 (8) (8) 12 marks GRAND TOTAL = 75 MARKS THE END 9

10 ANSWER SHEET NAME: QUESTION Visually Challenged Paraplegic Deaf Adults Learners Adults Learners Adults TOTAL: TOTAL: TOTAL: QUESTION Depth Depth Time Time Depth Depth Time Time 10