EZAKHENI CLUSTER GRADE 9 TERM 3 FORMAL ASSESSMENT TASK TEST SEPTEMBER 2023 MATHEMATICS Marks: 50 Duration: 1.5 hour NAME & SURNAME OF LEARNER: ___________________________________ INSTRUCTIONS AND INFORMATION 1. Answer ALL the questions. 2. A non-programmable calculator may be used unless otherwise stated. 3. Section A consists of FIVE multiple choice questions. You must CIRCLE the letter of the correct answer in the QUESTION PAPER 4. Clearly show all calculations, diagrams and graphs that you have used to determine your answers. Answers only will not be necessarily awarded full marks. 5. Diagrams are not necessarily drawn to scale. 6. If necessary, round-off answers to two decimal places, unless stated otherwise. 7. Write neatly and legibly. Page 1 of 7 SECTION A QUESTION 1 FOUR options are provided as possible answers to the following questions. Write the letter next to the correct answer in the QUESTION PAPER. 1.1. The following table shows a relationship between π₯ πππ π¦. π₯ -2 -1 0 1 2 π¦ -5 -3 -1 1 3 Complete: The rule describing the relationship between π₯ πππ π¦ ππ … A. π¦ = 2π₯ + 1 B. π¦ = −2π₯ + 1 C. π¦ = 2π₯ − 1 D. π¦ = −2π₯ − 1 (1) 1.2. Which one of this statement is TRUE about parallel lines? A. Parallel lines are lines formed when two lines meet each other at the right angle or 90 degrees. B. Parallel lines are lines that in the same plane with the same distance apart and they never meet each other. C. Parallel lines intersect and form vertical opposite angles that are equal. D. Parallel lines are lines that meet at a point to form acute angles. (1) 1.3. Complete: The point of intersection of the two graphs is ….. Page 2 of 7 A. B. C. D. (0; -3) (-2;-1) (-1;-2) (-3; 0) (1) 1.4. Complete the flow diagram by using the given rule 6 8 A. B. C. D. −16 π¦ = − 3π₯ + 2 ___ -22 -26 22 26 (1) 1.5. Which of the following statement is TRUE, if two straight lines are perpendicular? A. The product of the gradient is -1. B. The gradients are equal. C. The product of the gradient is 1. D. The sum of the gradient is 0. (1) [5] SECTION B QUESTION 2 FUNCTIONS AND RELATIONSHIPS 2.1. Copy and complete the following table where π₯ is an integer (π₯ ∈ π) from -5 to -1 π₯ -5 -4 -3 -2 -1 π¦ = π₯2 + 1 26 ______ _____ _____ 2 (3) 2.1.2. If π¦ = 50 write down the equation and determine the value of π₯. (3) _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ [6] Page 3 of 7 QUESTION 3 GRAPHS 3.1 Given: π¦ = − π₯ + 2 3.1.1. Determine the gradient and then state whether the line is increasing or decreasing. ___________________________________________________________________ ___________________________________________________________________ (2) 3.1.2. Write down the coordinates of the y-intercepts and x-intercepts, SHOW ALL YOUR STEPS. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (9) 3.1.3. Draw the graph of the line on a set of axes. (3) 3.1.4 Determine whether the function is linear or non-linear. __________________________________________________________________ (1) [15] Page 4 of 7 QUESTION 4 GEOMETRY OF STRAIGHT LINES 4.1. Determine the value of π₯, π¦ and π§, in alphabetical order, for each diagram. All reasons must be given. 4.1.1. 50 ° π₯ π¦ STATEMENT REASON (4) 4.1.2. F π§ π¦ 80 ° E π₯ 100 A STATEMENT 20 ° ° C B REASON (6) Page 5 of 7 GEOMETRY OF 2D SHAPE 4.2. Study the diagrams and fill in the correct statement or appropriate reason. Statement: πΆΜ 1 + πΆΜ 2 = 180° a) Reason: ____________________________ ____________________________ b) Statement: ________________________ Reason: exterior angle of a triangle equals the sum of the two opposite interior angles (4) 4.3.1. Name the type of triangle according to the information given. Diagram Name a) Page 6 of 7 b) c) (6) 4.3.2. Determine the value of C1 and C2, All reasons must be given. STATEMENT REASON 63° 47° (4) [24] >>>>>>>>>>> 50 <<<<<<<<<<< Page 7 of 7