Mathematics Grade 9 November EC 2014 Question Paper (Eng)

Downloaded from hlayiso.com SENIOR PHASE GRADE 9 NOVEMBER 2014 MATHEMATICS MARKS: 100 TIME: 2 hours *9MATHS* This question paper consists of 10 pages including an annexure.

Downloaded from hlayiso.com 2 MATHEMATICS (NOVEMBER 2014) INSTRUCTIONS AND INFORMATION 1. Read the instructions carefully. 2. Answer ALL the questions. 3. Write neatly and legibly. 4. Number your answers exactly as questions are numbered. 5. Give reasons for each statement in QUESTION 8. 6. Show ALL working. 7. You may use an approved scientific calculator (non-programmable and non- graphical). Copyright reserved Please turn over

Downloaded from hlayiso.com (NOVEMBER 2014) MATHEMATICS 3 QUESTION 1 In this question, write only the correct letter (A–D) next to the corresponding number (1.1–1.10, for example 1.11 A. 1.1 Which ONE of the following numbers is rational? A B √ C ̇ D √ (1) 1.2 √ = A 3 B C D (1) 1.3 Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a rate of 75 litres per minute. How long does it take to fill the dam? A 4h B 6 h 40 min C 6 h 20 min D 3 h 40 min (1) 1.4 The next term in the sequence is: A 10 B 12 C 16 D 14 (1) - 1.5 How many terms are there in the expression: ? A 4 B 1 C 8 D 2 (1) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICS (NOVEMBER 2014) 1.6 The volume of a cube below whose height is 4 is … A B C D (1) 1.7 In below, intersects with at , such that and then is a … A rectangle B parallelogram C kite D rhombus (1) 1.8 In ̂= ̂= . What is the size of ̂ ? A B C D (1) 1.9 The 3-D object with 5 faces, 5 vertices and 8 edges is a … A cylinder. B triangular prism. C square based pyramid. D triangular based pyramid. (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (NOVEMBER 2014) MATHEMATICS 5 1.10 The following set of test scores are out of 150 marks. 124 130 123 130 112 124 125 136 125. The median is … A 123. B 122. C 125. D 112. (1) [10] QUESTION 2 2.1 Write the next term in the number pattern: 4; 7; 10; … (1) 2.2 Write down the general term, Tn, of the pattern in QUESTION 2.1. (2) 2.3 Calculate the 20th term. (1) [4] QUESTION 3 Simplify each of the following expressions: 0 3.1 ( (1) 3.2 (2) 3.3 -( )2 + 4 (3) [6] QUESTION 4 Factorise fully: 4.1 (2) 4.2 (2) 4.3 (3) [7] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICS (NOVEMBER 2014) QUESTION 5 Solve for : 5.1 (2) 5.2 (3) 5.3 (2) [7] QUESTION 6 6.1 Write 17 trillion in scientific notation. (1) 6.2 Mr T. can travel a certain distance in 3 30 at an average speed of 90 . At what average speed must he travel to complete the trip in 3 hours? (3) 6.3 Calculate the simple interest on R4 400 at 4 % per annum for 7 years. (3) 6.4 Use the formula A = P( or A = P( to calculate the compound interest at 7% per annum on a loan of R 5 600 for 4 years. Round your answer to the nearest cents. (2) 6.5 A father is three times as old as his son. Six years ago he was five times as old as his son. How old are they now? (4) [13] QUESTION 7 7.1 X(-1;4) , Y(0;5) , Z(1;6) are points on a straight line XYZ. Determine the equation of the line. (3) 7.2 Using THE ANNEXURE attached, draw the graph of the function defined by and - . Label each graph and clearly mark the points where the graphs cut the axes. (5) [8] Copyright reserved Please turn over

Downloaded from hlayiso.com (NOVEMBER 2014) MATHEMATICS 7 QUESTION 8 NB: GIVE REASONS FOR ALL YOUR STATEMENTS IN THIS QUESTION. 8.1 In the diagram below, TR//PQ , ̂ = 28 , T ̂ S = and ̂ = 8.1.1 Calculate the value of giving reasons. (4) 8.1.2 Calculate the value of ̂ , giving reasons. (3) 8.1.3 Is a right angled triangle? Justify your answer by means of calculations. (3) 8.2 In ̂ ̂ 8.2.1 Prove with reasons that (4) 8.2.2 Determine and . (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICS (NOVEMBER 2014) 8.3 Study the figure below and answer the questions that follow. 8.3.1 Prove with reasons that (4) 8.3.2 If AB = 4 units, what is the length of BC? (2) [23] QUESTION 9 9.1 P(-4 ; 1) , Q(-1 ; -3) , and R(4 ; -1) are the vertices of PQR. Write the co- ordinates of P ; Q and R after reflection in the X-axis. (3) 9.2 What kind of transformation is defined by the shapes below? (1) [4] Copyright reserved Please turn over

Downloaded from hlayiso.com (NOVEMBER 2014) MATHEMATICS 9 QUESTION 10 10.1 Determine the volume of a cylinder if 7 and 20 . NB: Use Correct your answer to one decimal place. (3) 10.2 In the figure below and Find the length of AD. (4) 10.3 The volume of a rectangular prism with length = 5 cm, breadth = 3 cm and height = 2 cm is 30 cm3. What will be its volume if all the dimensions are doubled? (2) [9] QUESTION 11 11.1 The table below shows the number of pupils who participate in different extra-mural activities. Draw a pie chart to illustrate the data. Activity Tennis Rugby Cricket Swimming Number of learners 12 18 6 12 (4) 11.2 Calculate the range of the following set of test scores. 143 128 132 128 116 145 128 136 141 (1) 11.3 A coin is tossed twice: 11.3.1 Find the sample space by drawing a two way table (2) 11.3.2 Determine the number of outcomes: n(S) (1) 11.3.3 Determine the probability of getting at least 1 tail (1) [9] TOTAL: 100 Copyright reserved Please turn over

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Downloaded from hlayiso.com 10 MATHEMATICS (NOVEMBER 2014) ANNEXURE NAME: ……………………………………………….. GRADE: …. Copyright reserved Please turn over

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