Grade 7 : Mathematics June Examination 2017 Memorandum

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Grade 7 : Mathematics June Examination 2017MemorandumGeneral marking note:Give full marks for answers only, unless otherwise stated.Accept any alternative correct solution that is not included in the memorandum.Apply CA when applicable.Section AQUESTION 1ClarificationMark1.1)B11.2)C11.3)B11.4)C11.5)B11.6)B11.7)C11.8)B11.9)A11.10)C1[10]Section BQUESTION 22.1210 00563 4560+3 59?338603 954 Method 1markAnswer 1markOrFull marks answer and method603 95422.2.3 (4+5) – 12= 3 (9) - 2= 27 – 2= 25(2)Full marks answer only252[4]QUESTION 33.1.112 13.1.21; 2;4; 81; 2 ; 4; 823.1.3 2; 313.1.43; 6; 12; 243; 6 ; 12; 24 23.1.52413.2 52 =25√ 13.39+√16 = 3 + 4 = 7 Full marks answer only 72[10]QUESTION 44.1.1 15: 25 or 3:514.1.2 1540 or 38 14.1.3 38 14.2Person:1 14 × R 14?400 = R3 600 Person:234 × R 14?400 = R 10800 R3 600 R10 800 4[7]QUESTION 55.1.10.2515.1.2 25100 or 14 15.1.370% 7015.1.445100 or 92015.2.1 5325 15.2.234715.3125200 = 58=1016 5 and 16 2[8]QUESTION 66.1.15716.1.256,7016.2.123 + 15 = 131526.2.2Yes, 1315+ 14 = 6760 or 1 760 is more than one wholeConsider other logical reasons36.3R250 × 25% =R62.50 R250 – R62.50 =R187.50Answer only 3 marks orAnswer and method 3 marks3[10]QUESTION 77.17.1.1) 1617.1.2) 517.1.3) 2817.1.4) 91[4]QUESTION 88.18.1.1) d= 90°9018.1.2) f + g + h = 180°18018.28.2.1) AC = AE18.2.2) AD ∥ BC 18.2.3) ED ⊥ AD 18.3?ABC and ?ADE 28.4?AEC or ?CEA or ?ECA18.58.5.1) BC = 78mm to 80 mm 78 to 80 mm28.5.2) Reflex AED=Please measure to verify 28.6.1 8.6.1) ADE+ ADC 18.6.2) Angles on a straight line or adjacent angles 18.6.3) ReflexBCE or reflex BCD 18.6.4) c or ade 18.6.5) right angle triangle 18.74 Triangles or 4 1[18]QUESTION 99.19.1.1) ?BDC is an isosceles 19.1.2) ABCD = Trapezium 19.2x=CBD & y=ADB x=CBD & y=ADB 29.3y= 180°-90°- 35°=55° sum of angles in a triangle29.4AB∥CD 1[7]QUESTION 10Study the rectangular prism (cuboid) and carefully answer the questions that follow.10.1.16 110.1.212 110.1.38 110.2.1The perimeter of the top face ABCDAnswer; Perimeter = 2L+2B = (2×20) + (2×5) = 40cm+10cm = 50cm OR Perimeter = 2(L+B) = 2(20cm+5cm) = 2(25cm) = 50cm 50 210.2.2The total surface area of the rectangular prism Surface area =2 (L×B + B×H + L×H) =2 [(20cm×5cm) + (5cm×3,5cm) + (20cm×3,5cm)] =2(100cm2+ 17,5cm2+70cm2) =2( 187,5cm2) = 375 cm2√310.2.3The volume of the rectangular prism Volume= L×B×H = 20cm×5cm×3,5cm = 100cm×3,5cm = 350 cm32[10]QUESTION 1111.1Calculate the area of the rectangle BCDE. Area = L×B = 6cm×4cm = 24 cm2211.2.1Calculate the area of the triangle ABC Area = 12 × b × h = 12 × 3cm × 4cm = 12 × 12cm = 6 cm2211.2.2How many triangles of ABC can fit into the rectangle BCDE? Four Triangles211.2.3Calculate the perimeter of the shape ACDE and write your answer in mm.AC2 = (4cm)2 + (3cm)2 = 16cm2 + 9cm2 = 25cm2 AC2=25 AC = 5cm Perimeter = 5cm + 6cm + 4cm + 9cm = 24cm = 240mm5Total100 ................
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