Gr9 Math (English) November 2019 Question Paper

GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION NOVEMBER 2019 GRADE 9 MATHEMATICS NAME OF LEARNER: ___________________________________________ GRADE / CLASS: _________ TIME: 2 hours MARKS: 100 19 pages P.T.O.

MATHEMATICS GRADE 9 2 GRA INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 9 questions and 19 pages, including the attached FORMULA SHEET. 2. Answer ALL the questions on the question paper. 3. A non-programmable calculator may be used unless otherwise stated. 4. Clearly show all calculations, diagrams and graphs that you have used in determining your answers. Answers only will not necessarily be awarded full marks. 5. If necessary, round-off answers to 2 decimal places, unless otherwise stated. 6. Diagrams are not necessarily drawn to scale. Reasons MUST always be given for statements made when answering geometry questions. 7. Answer questions 2 to 9 in Section B in the spaces provided. 8. Write neatly and legibly. P.T.O.

MATHEMATICS GRADE 9 3 GRA SECTION A QUESTION 1 Circle the letter of the correct answer. 1.1 Complete: 0,000163 written in scientific notation = … A 1,63 B 1,63 C 163 D 1,63 (1) 1.2 What will a 20 kg bag weigh if its mass is increased by 40% ? A kg B kg C kg D kg (1) 1.3 Complete: ... A B C D (1) 1.4 is invested at 6% per annum compound interest for 6 years. Complete: A = … A B C D (1) P.T.O.

MATHEMATICS GRADE 9 4 GRA 1.5 Study the diagram pattern below. Each diagram was created using matchsticks. The table below gives the number of matchsticks in each figure. Figure 1 Figure 2 Figure 3 Figure number 1 2 3 No. of matchsticks 5 9 13 How many matchsticks will there be in Figure 6 if the pattern continues? A B Tn  4n  1 C Tn  4n  1 D Tn  4n  1 (1) 1.6 What is the probability of drawing a card marked 5 from a pack of 52 playing cards? A B C D (1) P.T.O.

MATHEMATICS GRADE 9 5 GRA 1.7 In the figure below AT TC, BT T and AC BD. A D T B C What kind of quadrilateral is ABCD? A A kite B A rhombus C A parallelogram D A rectangle (1) 1.8 In PQT, ̂ ̂ ̂ Calculate the size of ̂. A B C D (1) P.T.O.

MATHEMATICS GRADE 9 6 GRA 1.9 In the figure below AB AC and ̂ . A 64 B 2 C 1 Calculate the size of ̂ . A B C D (1) 1.10 The length of a rectangle and the width . Both the length and the width of the rectangle are doubled. What is the perimeter of the bigger rectangle? A x B C D (1) [10] P.T.O.

MATHEMATICS GRADE 9 7 GRA SECTION B QUESTION 2 2.1 Write 0,36 : 0,84 in the simplest form. ____________________________________________________________ ____________________________________________________________ (2) 2.2 Calculate: if ____________________________________________________________ ____________________________________________________________ (2) 2.3 Simplify: 2.3.1 (√ ) √ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ (2) 2.3.2 ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ (4) [10] P.T.O.

MATHEMATICS GRADE 9 8 GRA QUESTION 3 Factorise fully: 3.1 ____________________________________________________________ ____________________________________________________________ (2) 3.2 ____________________________________________________________ (2) 3.3 ____________________________________________________________ (2) 3.4 ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ (3) [9] P.T.O.

MATHEMATICS GRADE 9 9 GRA QUESTION 4 Solve for . 4.1 ___________________________________________________________________ ___________________________________________________________________ ____________________________________________________________________________________________________ (2) 4.2 ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (2) 4.3 ___________________________________________________________________ ___________________________________________________________________ (2) [6] P.T.O.

MATHEMATICS GRADE 9 10 GRA QUESTION 5 5.1 A turkey costs 5 times more than a chicken. A farmer bought 20 turkeys and 50 chickens for R1 200. Calculate the price of one turkey. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (5) 5.2 Calculate how much I must invest at 7% p.a. simple interest to have R15 000,00 in my account at the end of 6 years. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) 5.3 A taxi covers a distance in 3 hours at an average speed of 80 km/h. How long will it take to cover the same distance if the average speed is 60 km/h? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (6) [14] P.T.O.

MATHEMATICS GRADE 9 11 GRA QUESTION 6 6.1 Determine the equation of the given straight line graph of . (4) Y f 6 X g ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ 6.2 Write down the equation of the graph of . _________________________________________________________________ (1) [5] P.T.O.

MATHEMATICS GRADE 9 12 GRA QUESTION 7 7.1 The following are the marks obtained by a group of learners in a test out of 60. 12 21 23 35 42 54 57 31 43 35 46 37 55 7.1.1 Draw a stem-and-leaf plot to organize the data. Stem Leaves (5) 7.1.2 What is the range of the marks? _____________________________________________________________ (1) 7.1.3 How many learners obtained more than 50% for the test? _____________________________________________________________ (1) 7.2 A bag contains 3 green, 5 red and 7 blue buttons. A button is randomly taken out of the bag. Determine the probability of taking out: 7.2.1 A red button _____________________________________________________________ (1) 7.2.2 A green or blue button _____________________________________________________________ (2) 7.2.3 A yellow button _____________________________________________________________ (1) [11] P.T.O.

MATHEMATICS GRADE 9 13 GRA QUESTION 8 8.1 In the diagram below, is a straight line. ̂ , ̂ and B ̂ °. A B 65° b 45° C a E 40° D 8.1.1 Calculate the value of . Statement Reason (3) 8.1.2 Calculate the value of . Statement Reason (3) 8.1.3 What can you conclude about ? Give a reason for your answer. Statement Reason (2) P.T.O.

MATHEMATICS GRADE 9 14 GRA 8.2 In quadrilateral ABCD, AB DC and AB DC. A D 1 2 1 2 B C Prove that ABC ≡ CDA. Statement Reason In ABC and CDA: (5) P.T.O.

MATHEMATICS GRADE 9 15 GRA 8.3 In the figure below, ̂ ̂ and ̂ . C 40° B 2 1 1 F 2 A 1 2 E 40° D Prove that CFB ⫴ DFE Statement Reason In CFB and DFE (4) P.T.O.

MATHEMATICS GRADE 9 16 GRA 8.4 8.4.1 Use a pair of compasses, ruler and a sharp pencil to construct triangle in the frame below, so that ̂ (2) 8.4.2 By measurement: The size of ̂ … ___________________________________________________________________ (1) 8.5 Point is translated units to the right and units down. Write down the co-ordinates of its image . ___________________________________________________________________ ___________________________________________________________________ (2) [22] P.T.O.

MATHEMATICS GRADE 9 17 GRA QUESTION 9 9.1 In the figure below XW 13 units, XY 8 units and TZ 5 units. ̂ , ̂ and ̂ . X 13 W 8 Y T 5 Z Calculate the length of YZ, correct to two decimal places. Statement Reason (4) P.T.O.

MATHEMATICS GRADE 9 18 GRA 9.2 A E B G D F C Refer to the above diagram and complete the following: Example: The area of 9.2.1 The area of ABCD _______________________________________________ 9.2.2 The area of _______________________________________________ 9.2.3 The area of parallelogram CDEG ____________________________________ 9.2.4 The area of trapezium AECD _______________________________________ (4) 9.3 Calculate the total surface area of a cylindrical metal rod with a Diameter 14 cm, Height 12 cm and . 14 12 ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (5) [13] TOTAL: 100 P.T.O.

MATHEMATICS GRADE 9 19 GRA FORMULA SHEET Simple Interest: Compound Interest: Perimeter Area Rectangle Circle Trapezium Triangle A