MATHEMATICS GR6 QP NOV 2017 English

Downloaded from hlayiso.com INTERMEDIATE PHASE GRADE 6 NOVEMBER 2017 MATHEMATICS MARKS: 75 TIME: 1½ hours NAME: *6MATH* This question paper consists of 16 pages.

Downloaded from hlayiso.com 2 MATHEMATICS (EC/NOVEMBER 2017) INSTRUCTIONS TO THE LEARNER 1. Read ALL the instructions carefully. 2. QUESTION 1 consists of 10 multiple-choice questions. Circle the letter of the correct answer. 3. Answer QUESTIONS 2 to 22 in the spaces or frames provided. 4. All working must be done on the question paper and not on rough work pages. 5. The test counts 75 marks. 6. The test duration is 1½ hours. 7. The teacher will lead you through the practice exercise before you start the test. 8. You may NOT use a calculator. PRACTICE EXERCISE Circle the letter of the correct answer. 1 × 14 =… 2 A 28 B 14 C 7 D 2 You have answered correctly if you have circled C above. NOTE:  You will answer more questions like the one you have just completed.  Do your best to answer each question even if you are not sure of the answer.  Write down the answer that you think is the best and move to the next question.  When you have answered all the questions on a page, move to the next page.  Look only at your own work. THE TEST STARTS ON THE NEXT PAGE. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 3 1. Circle the letter of the correct answer. 1.1 Which of the following is the set of first five prime numbers? A 1; 3; 5; 7; 9 B 2; 3; 5; 7; 9 C 2; 3; 5; 7; 11 D 2; 4; 6; 8; 10 (1) 1.2 Which of these numbers has a factor 9? A 72 B 29 C 83 D 56 (1) 1.3 What is the value of the underlined digit in 43,89? A 8 units B 8 hundredths C 8 tens D 8 tenths (1) 1.4 What fraction of the diagram is shaded? 5 A 8 3 B 8 3 C 6 3 D 9 (1) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICS (EC/NOVEMBER 2017) 1.5 Which sketch represents the top view of the 3-D object? Top View Side View Front View A B C D (1) 1.6 Which number on the number line below is halfway between 248 340 and 248 390? 248 340 halfway 248 390 A 124 185 B 124 170 C 284 745 D 248 365 (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 5 1.7 Write this time in 24-hour notation. The time is in the afternoon. A 08:00 B 13:00 C 12:00 D 20:00 (1) 1.8 How many small cubes can fit inside the big cube? 2 cm 4 cm A 2 B 4 C 8 D 16 (1) 1.9 What is the mode of the following winter temperatures? 12 °C; 18 °C; 9 °C; 10 °C;4 °C; 9 °C; 19 °C; 2 °C; 24 °C; 9 °C; 11 °C A 9 °C B 127 °C C 2 °C D 12 °C (1) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICS (EC/NOVEMBER 2017) 1.10 Which diagram will not work as a net for a square-based pyramid? A B C D (1) 2. Mrs Jones travels 180 km to work. For every 20 km that she travels, her car uses 4 litres of petrol. How many litres of petrol does the car use to drive to work? (3) 3. Round 764 386 off to the nearest 1 000. (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 7 4. Order the following common fractions from the smallest to the biggest. 1 2 2 1 ; ; ; 2 5 3 4 (2) 5. Mr Tom had 124 cows. He made a will that half of his cows be given to his wife and a quarter to his son. His daughter received the rest. How many cows did his daughter get? (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICS (EC/NOVEMBER 2017) 6. Given the pattern below: ___________ Step 1 Step 2 Step 3 Step 4 Step 1 2 3 10 6.3.2 ___ Shaded 3 6 9 6.3.1 ___ 300 triangles 6.1 Draw step 4 in the pattern. (1) 6.2 Describe a rule for this pattern using your own words. (2) 6.3 Complete the table above. (2) 7. Calculate: 567,38 – 197,2 (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 9 8. Calculate the answers for QUESTIONS 8.1 to 8.6. 8.1 456 954 + 364 637 = (2) 8.2 639 742 – 520 834 = (2) 8.3 2 359 × 275 = (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICS (EC/NOVEMBER 2017) 8.4 3 375 ÷ 125 = (3) 8.5 3 1 3 Calculate: 3 4 + 5 2 − 3 8 (3) 8.6 Calculate: 214 ÷ 2 × (14 – 9) (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 11 9. A water tank takes 10 000 ℓ of water when full. After rain the water level in the tank was 7 500 ℓ. 9.1 What is the capacity of the tank in 𝑘ℓ? (1) 9.2 You have to fill 25 of 100 ℓ containers with water. You must use a 10 ℓ container to get water from the 10 000 ℓ tank. 9.2.1 How many times must you use the 10 ℓ container to fill a 100 ℓ container? (2) 9.2.2 How many litres of water in total will have been taken from the tank for you to fill 25 of the 100 ℓ containers? (2) 10. A Grade 6 class has 40 learners. The ratio of girls to boys is 5 : 3. How many girls are in this class? (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICS (EC/NOVEMBER 2017) 11. Complete the flow diagram: (1) 12. Complete the following sentence: 2 kg of sugar has exactly the same mass as _______ g of sugar. (1) 13. How many lines of symmetry are there in the following 2D object? (1) 14. Answer the following questions about the given object. 14.1 Name the 3D object: (1) 14.2 Number of faces: (1) 14.3 Number of vertices: (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 13 15. Complete the table below: Common Fraction Decimal Fraction Percentage 1 0,5 50% 2 6 0,6 15.1 ____ 10 (1) 0,75 75% 15.2 _____ (1) 15.3 A shirt costs R75 before it was discounted to R60. Calculate the percentage discount. (2) 16. Study the following diagram and answer the questions that follow. 16.1 How many triangles are there in the shape above? (1) 16.2 What is the name of angle 1 in the 2D shape above? (1) Copyright reserved Please turn over

Downloaded from hlayiso.com 14 MATHEMATICS (EC/NOVEMBER 2017) 17. Mpho has to fit wheels to bicycles and tricycles. He has 20 wheels altogether in his shop. How many bicycles and tricycles can he fit? (2) 18. Read the time on the world clocks and answer the following questions. Rome Tokyo Time in the morning (a.m.) Time in the morning (a.m.) 18.1 Calculate the time difference between Rome and Tokyo. (1) 18.2 If it is 20:50 in Rome, what time will it be in Tokyo in 24-hour notation? (1) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICS 15 19. On the grid given below, a 2D shape that has a length of 4 units and a breadth of 3 units is drawn. (1 block = 1 unit) 19.1 What is the area of the shape? (1) 19.2 On the grid, draw an enlargement of the given rectangle two times its size. (2) 20. To travel from the FILLING STATION in cell F4 to THE MALL in cell E9: Travel North East on R88 and continue until you meet the Great North Road. Turn left onto the Great North Road. Pass the crossing with the gravel road G42, Cross the river. Keep going until you get to THE MALL on the left side of the road. If you follow the directions above, through which cells will you pass between the G42 turnoff and the R31? (1) Copyright reserved Please turn over

Downloaded from hlayiso.com 16 MATHEMATICS (EC/NOVEMBER 2017) 21. The following pie chart indicates the number of cans collected by each learner for a recycling project. The total number of cans collected is 240. Cans collected Lwazi 30 Vusi 15 Awonke 120 Chris 60 Dannie 15 21.1 3 Who must Awonke combine his cans with to get 4 of 240? (2) 21.2 What percentage of cans did Chris collect? (2) 21.3 What fraction of cans did Lwazi collect? (2) 22. What is the probability of getting a 5 when tossing the die (dice) below? (1) TOTAL: 75 Copyright reserved Please turn over