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ANNUAL NATIONAL ASSESSMENTGRADE 7 MATHEMATICSEXEMPLAR MEMORANDUMMARKS: 100This exemplar memorandum consists of 7 pages.Important Information This is a marking guideline. In instances where learners have used different but mathematically sound strategiesto solve the problems they (learners) should be credited. Unless stated otherwise, learners who give a correct answer only, should be awarded full marks. Underline errors committed by learners and apply Consistent Accuracy (CA) marking.KEYMMethod markCAConsistent Accuracy markAAccuracy markQUESTION 11.1C 1.2D 1.3B 1.4B 1.5D 1.6D 1.7B 1.8B 1.9A 1.10C 1111111111[10]QUESTION 22.1.1358 876–Method: 1 mark49 635 MAnswer: 1 mark309 241 AAnswer only: 1 markGrade 7 Mathematics Exemplar Memorandum12

2.1.25 432 80316 296 A16 296: 1 mark4 345 600: 1 mark00 000Answer: 1 mark 4 345 600 AAnswer only: 1 mark4 361 896 CA2.1.3 25 15 32 1 A32: 1 mark1: 1 mark 31 CAAnswer : 1 markAnswer only: 1 mark2.1.4 43 64 64 8 A58: 1 mark 1235194 A124Answer: 1 markAnswer only: 1 markor16153164M 2.1.6 2,34 0,2 101252 CA125 180980494 215161516M94 A1430,468: 1 mark10: 1 markAnswer: 1 markAnswer only: 1 mark 2081005225366: 1 markor5: 1 mark71 - 19Answer: 1 mark 52 CA2,08 1 mark CA2.1.7 6 11 19 25 52.2180:801 markAnswer only: 1 mark 10,468 CA 66 – 19 5 M/12:53Answer: 1 mark 0,468 10 A 47 5364: 1 mark 8 CA2.1.5 22 153Answer only: 1 mark208:100 MGrade 7 Mathematics Exemplar Memorandum1 markAnswer: 1 mark A232

2.3Loss R395,00 – R250,00R145,00: 1 mark R145,00 AFraction M or Percentage loss 0,36708 %2.4R145,00R395,00R145,00R395,00 100 36,708 36,7 % A% M1 36,7 % ATotal number of equal parts 5 3 Number of girls 38 401 8 M1 markAnswer: 1 mark38: 1 mark38 M 40:11 markAnswer: 1 mark 15 AorR145,00:R395,00Number of boys : Number of girls : Total 5 : 3 : 8 M Number of girls 2.5Speed QUESTION ‘‘𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑25 0002038 401 M 15 A3Formula and / or Asubstitution: 2 marksπ‘˜π‘˜π‘˜π‘˜/β„Ž MAnswer: 1 mark 1 250 π‘˜π‘˜π‘˜π‘˜/β„Ž CA3[31]3.1.1 49 A49: 1 mark81 A81: 1 mark2Square numbers: 1 mark13.1.2 Square numbers 3.2Number ofpolygonsNumber ofsides3.3.1Input125 Aπ‘˜π‘˜4𝑛𝑛1080 CA21 A5𝑛𝑛 1 M51 CA401Rule21: 1 mark5𝑛𝑛: 1 mark 1: 1 mark51: 1 mark80: 1 mark5Output1 3 2Grade 7 Mathematics Exemplar Memorandum4 A4: 1 mark135: 1 mark3π‘˜π‘˜ 2 M33π‘˜π‘˜ 2: 1 mark3

π‘₯π‘₯2,63.3.23,33.414 π‘₯π‘₯3 14 11,6 A𝑦𝑦 2π‘₯π‘₯ 53,9 A38𝑦𝑦10,2Rule27311,6: 1 mark12,8354or 5,753,9: 1 mark A Mπ‘₯π‘₯ 13 A3.6.1 12 π‘˜π‘˜π‘˜π‘˜ AAnswer: 1 markAnswer only: 2 marks2π‘₯π‘₯ 13 : 1 mark1because 7 13 9113.6.2 Time taken 7,5 or 7 1 minutes A2QUESTION 44.1.1an equilateral triangle Aor4.1.2an isosceles triangle Aor4.1.3a right-angled triangle Aor12 π‘˜π‘˜π‘˜π‘˜: 1 mark118 π‘˜π‘˜π‘˜π‘˜: 1 mark17,5 / 7 2 minutes: 1 mark3.6.3 Total distance 18 π‘˜π‘˜π‘˜π‘˜ A4.23Substitution: 1 mark 14 – 9 5 CA3.535 4 π‘œπ‘œπ‘œπ‘œ 5,75: 1 markacute-angled equilateral obtuse-angled isosceles right-angled scalene Sector A1[20]equilateral: 1 mark1isosceles: 1 mark1right-angled: 1 mark1Sector: 1 markRadius ARadius: 1 markChord AChord: 1 mark3Grade 7 Mathematics Exemplar Memorandum4

4.3Reflection orReflection in a vertical lineReflection: 1 mark14.4O Position: 1 mark Shape: 1 mark24.5.1Congruent ACongruent: 1 marksimilar: 1 marksimilar AGrade 7 Mathematics Exemplar Memorandum52

4.5.2Similar: 1 marksimilar Acongruent ACongruent: 1 markSimilar: 1 markcongruent Asimilar ACongruent: 1 mark44.6 Length 3 blocks: 1 mark 1Width 1 2 blocks: 1 mark24.74.855 : 1 mark𝑅𝑅𝑅𝑅 55 π‘šπ‘šπ‘šπ‘š A23: 1 mark𝑅𝑅𝑅𝑅 23 𝑐𝑐𝑐𝑐 MFigure A: a trapezium Atrapezium: 1 markFigure B: a rhombus Arhombus: 1 markFigure C: an octagon Aoctagon: 1 mark23[22]QUESTION 55.15.25 15 π‘šπ‘š: 1 markPerimeter of pentagon 5 15 π‘šπ‘š MArea 𝐴𝐴𝐴𝐴𝐴𝐴 1(𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏212Answer: 1 mark 75 π‘šπ‘š CAAnswer only: 2 marksFormula and / or β„Žπ‘’π‘’π‘’π‘’π‘’π‘’β„Žπ‘‘π‘‘) Asubstitution: 2 marks (18,4 π‘šπ‘š)(6 π‘šπ‘š) Mor 55,2 π‘šπ‘šArea 𝐴𝐴𝐴𝐴𝐴𝐴 22Answer: 1 mark CA𝑏𝑏𝑏𝑏𝑏𝑏𝑏𝑏 β„Žπ‘’π‘’π‘’π‘’π‘’π‘’β„Žπ‘‘π‘‘2(18,4 π‘šπ‘š)(6 π‘šπ‘š)2 A M 55,2 π‘šπ‘š2 CAGrade 7 Mathematics Exemplar Memorandum36

5.3.1A rectangular prism A5.3.2Surface area of rectangular prismRectangular prism: 1 mark1Formula and / or 2(𝑙𝑙 𝑏𝑏) 2(𝑙𝑙 β„Ž) 2(𝑏𝑏 β„Ž) A 2(5 𝑐𝑐𝑐𝑐 3 𝑐𝑐𝑐𝑐) 2(5 𝑐𝑐𝑐𝑐 2𝑐𝑐𝑐𝑐) 2(3 𝑐𝑐𝑐𝑐 2 𝑐𝑐𝑐𝑐) M 30 𝑐𝑐𝑐𝑐2 20 𝑐𝑐𝑐𝑐2 12 𝑐𝑐𝑐𝑐2 62 𝑐𝑐𝑐𝑐2 CAsubstitution: 2 marksAnswer: 1 markConversion: 1 mark 6 200 π‘šπ‘šπ‘šπ‘š2 CAorSurface area of rectangular prism 2(𝑙𝑙 𝑏𝑏) 2(𝑙𝑙 β„Ž) 2(𝑏𝑏 β„Ž) A 2(50 π‘šπ‘šπ‘šπ‘š 30 π‘šπ‘šπ‘šπ‘š) 2(50 π‘šπ‘šπ‘šπ‘š 20 π‘šπ‘šπ‘šπ‘š) 2(30 π‘šπ‘šπ‘šπ‘š 20 π‘šπ‘šπ‘šπ‘š) M 3 000 π‘šπ‘šπ‘šπ‘š2 2 000 π‘šπ‘šπ‘šπ‘š2 1 200 π‘šπ‘šπ‘šπ‘š2 CA 6 200 π‘šπ‘šπ‘šπ‘š2 CAorSurface area of rectangular prism 2(𝑙𝑙 𝑏𝑏) 2(𝑙𝑙 𝑏𝑏) β„Ž A 2(5 𝑐𝑐𝑐𝑐 3 𝑐𝑐𝑐𝑐) 2(5 𝑐𝑐𝑐𝑐 3𝑐𝑐𝑐𝑐) 2 𝑐𝑐𝑐𝑐 M 30 𝑐𝑐𝑐𝑐2 32 𝑐𝑐𝑐𝑐2 62 cm2 CA5.4 6 200 π‘šπ‘šπ‘šπ‘š2 CA4Volume of rectangular prism 𝑙𝑙 𝑏𝑏 β„Ž A (100 𝑐𝑐𝑐𝑐)(40,5 𝑐𝑐𝑐𝑐)(25 𝑐𝑐𝑐𝑐) M 101 250 𝑐𝑐𝑐𝑐3 CAQUESTION 66.16.28 π‘₯π‘₯ 2means π‘₯π‘₯ 28 256First number in row 1 : 12row 3substitution: 2 marksAnswer: 1 mark3[13]π‘₯π‘₯ 256: 2 marksπ‘₯π‘₯ 256 Arow 2Formula and / or2: 22: 32row 20 : 202400: 2 marksFirst number in 20th row is 400 A2[4]TOTAL: 100Grade 7 Mathematics Exemplar Memorandum7