MATHEMATICS GRADE 9 FORMAL ASSESSMENT TASK (FAT) 3.1: PROJECT Total: 60 Marks Time: 1 period MEMORANDUM Important Information • This is a marking guideline. In instances where learners have used different but mathematically sound strategies to solve the problems, they (learners) should be credited. • Unless otherwise stated, learners who give a correct answer only, should be awarded full marks. • Underline errors committed by learners and apply Consistent Accuracy (CA) marking. Question 1: 1.1 Area triangle: Area = ½ bh (3) = ½ X 32 X 20 mm = 320 mm2 1.2 Area Circle: Area = (3) π r2 = 3,142 x 92 mm = 254,5 mm2 1.3 Area Rectangle: Area = l x b (3) = 15 x 13 mm = 195 mm2 1.4 Area of triangle is largest This study source was downloaded by 100000786683541 from CourseHero.com on 09-11-2022 17:24:52 GMT -05:00 https://www.coursehero.com/file/52836862/MATHEMATICS-GRADE-9-FAT-31-Project-MEMORANDUMdocx/ (1) Question 2: 2.1 10cm 4cm 8cm 2.2 Volume = ½ b x h x d = ½ x 8 x 4 x 10 = 160cm3 2.3 160cm3 = 0,00016m3 = 160 000 mm3 Question 3: 3.1 Vol = π r2 h = 3,14 x 3,52 x 5 = 192,33m3 = 3.2 192 330 litres 3.3 Vol prism = l xb x h = 10 x 3 x 5 = 150 m3 Vol Triangular prism = ½ l x b x h = ½ x 10 x 5 x 3 = 75m3 Total volume = 150m3 + 75 m3 = 225m3 3.4 Surface area Rect prism to be painted: = 2(lxh) + 2(bxh) = 2(8 x 3) + 2( 5 x 3) = 48 + 30 = 78m2 Surface area of triangular prism to be painted = 2(l x b) + 2( ½ b x h) = 2( 5 x 5) + 2 ( ½ x 8 x 3) = 50 + 24 = 74m2 Total surface area = 78 + 74m2 = 152m2 3.5 152m2 ÷5 = 30,4 litres R110 x 30,4 litres = R3 344,00 This study source was downloaded by 100000786683541 from CourseHero.com on 09-11-2022 17:24:52 GMT -05:00 https://www.coursehero.com/file/52836862/MATHEMATICS-GRADE-9-FAT-31-Project-MEMORANDUMdocx/ Question 4: Area of cube = 6 a2 = 6 x 32 = 54m2 This study source was downloaded by 100000786683541 from CourseHero.com on 09-11-2022 17:24:52 GMT -05:00 https://www.coursehero.com/file/52836862/MATHEMATICS-GRADE-9-FAT-31-Project-MEMORANDUMdocx/ Powered by TCPDF (www.tcpdf.org)