Mathematics and Mathematical Literacy - Thutong

Mathematical Literacy(NSC)/Grade 10 95 ExemplarMEMORANDUMGrade10 Mathematical Literacy: Memorandum1.1.1 15,645 11.1.2 83 11.1.3 R281,25 21.1.4 2 1 4 11.233 1 3% of R299 = R99,66R299 − R99,66 = R199,34OR66 2 3 % of R299 = R199,34 21.3.1 It means that to every 1 measure ofconcentrate, you must add 4 measures ofwater. 21.3.2 200ml of concentrate and 800ml ofwater 21.3.33 1 2cups × 4 = 14 cupsMy friend did not mix it in the correct ratiobut added too much water so it will not tastethe same. OR15 cups ÷ 4 = 3 1 4 cupsMy friend did not have enough concentratein the mixture to make it taste the same. 31.4.1 R55 + 5 × R10 = R105 21.4.2 R55 + 7 × R10 = R135 21.4.3 R55 + n × R10 = R55 + R10n 21.5.1 5,5% of R4 575 = R251,63R4 575 + R251,63 = R4 826,63OR105,5% of R4 575 = R4 826,63 21.5.2 Ali 11.5.3 Ali’s % increase = R292.50 × 100 = 4,5%R6 500Fatimah gets the bigger percentage increase. 21.6 R1 725Daily wage: = R115 per day15 daysEarnings for 20 days: 20 × R115 = R2 300 31.7 1cm = 50 000cm3,7cm = 185 000cmThere are 100cm in 1m and 1 000m in 1km∴1km = 100 000cm∴185 000cm ÷ 100 000 = 1,85km 41.8.1 x = (R49,50 + R172,00 + R185,50 +R113,50 + R139 00 + R405,00 + R54,50) ÷7= R1 119 ÷ 7= R159,86 31.8.2 R49,50; R54,50; R113,50; R139 00;R172,00; R185,50; R405,00 Median = R139,00 21.9.1 Area of rectangle:9cm × 4,5cm = 40,5cm² 21.9.2 Circumference of the circle:C = 3,14 × 4,5cm = 14,13cm 21.9.3 Volume of box:6cm × 1,5cm × 2,5cm = 22,5cm³ 21.9.4 Surface area of box:2 × 1,5cm × 2,5cm + 2 × 6cm × 2,5cm + 2× 1,5cm × 6cm = 55,5cm² 42.1 Interest is the fee paid by a borrower to a lender for the use of borrowedmoney 32.2.1 Interest is calculated based on the newbalance – in other words interest has beenpaid on interest 22.2.2 (a) = R1 762,34(b) = R211,48(c) = R1 973,82 62.2.3 R1 973,82 − R1 000 = R973,822.2.4 R973.82R1 000× 100 = 97,38%2.2.5 6 × 12% = 72% ⇒ R720,00 33.112 ÷ (12 + 12) = 1 2 or 0,5 33.2 8 ÷ (8 + 12) = 0,40,4 of 60 drops = 24 drops 53.3 4 ÷ 60 = 0,0667∴a ÷ (a + 12) = 0,0667∴a = 0,0667 × (a + 12) ∴a = 0,0667 a + 0,799∴a − 0,0667 a = 0,799∴0,933 a = 0,799∴ a = 0,856The child is approximately one year old. 64.1 Female ticked Age: 13-14 ticked A lot ticked 34.2.1 35 males and 60 females 24.2.2 Total number of students taking part insurvey = 95Number of students felt a lot or anunbearable amount of pressure = 44The counselor could have argued that4495 ≈ 40100 ≈ 2 out of every 5. 44.2.3 % of boys feeling pressured :14as a percentage35= 40%% of girls feeling pressured :30as a percentage60= 50%The data seems to show that girls feel thepressure more than boys. 54.2.4 (a) It creates the impression that there were alot more girls participating in the surveythan there were boys. 2Copyright reserved