Mathematical Literacy Grade 11 P2 2023 Memo (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2023 MATHEMATICAL LITERACY P2 MARKING GUIDELINE MARKS: 100 Symbol Explanation M Method MA Method with accuracy CA Consistent accuracy RCA Rounding consistent accuracy A Accuracy C Conversion S Simplification SF Correct substitution in a formula J Justification O Opinion/Example/Definition/Explanation/Justification/Verification RT/RG/RM Reading from a table/graph/map P Penalty, e.g. for no units, incorrect rounding off etc. R Rounding off NPR No penalty rounding or omitting units AO Answer only, full marks This marking guideline consists of 9 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2023) MARKING GUIDELINES NOTE: • If a candidate answers a question TWICE, only mark the FIRST attempt. • If a candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution, mark the crossed out (cancelled version). • Consistent Accuracy (CA) applies in ALL aspects of the marking guidelines; however, it stops at the second calculation error. • If the candidate presents any extra solution when reading from a graph, table, layout plan and map, then penalise for every extra incorrect item presented. LET WEL: • As ʼn kandidaat ʼn vraag TWEE keer beantwoord merk slegs die EERSTE poging. • As ʼn kandidaat ʼn antwoord van ʼn vraag doodtrek (kanselleer) en nie oordoen nie, merk die doodgetrekte (gekanselleerde) poging. • Volgehoue akkuraatheid (CA) word in ALLE aspekte van die nasienriglyn toegepas, maar dit hou by die tweede berekeningsfout op. • Wanneer ʼn kandidaat aflees van ʼn grafiek, tabel, uitlegplan en kaart en ekstra antwoorde gee, penaliseer vir elke ekstra item. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P2 3 KEY TO TOPIC SYMBOL: F = Finance; M = Measurement; MP = Maps, plans and other representations; P= Probability QUESTION 1 [23] Quest Solution Explanation Level 1.1.1 M 3,142 × 450 ✓ M 1M multiply by 450 L1 = 1 413,9 mm ✓ A 1A correct answer (2) 1.1.2 M Option B: L1 290 ÷ 200 m ✓ M 1M divide by 200 m = R1,45 per metre ✓ MA 1MA answer (2) 1.1.3 M R290 : R390 ✓M 1M correct order L1 29 : 39 ✓ A= 1A correct simplified values (2) 1.1.4 M Radius = 450 mm ÷ 10 ✓ C 1C divide by 10 L1 = 45 cm ÷ 2 ✓ M 1M finding the radius = 22,5 cm ✓ A 1A correct answer (3) 1.2.1 MP N2; N3; N6; N10 ✓ ✓A 2A correct national roads L1 (Any TWO) (2) 1.2.2 MP Strip Chart / Map ✓ ✓ A 2A name L1 (2) 1.2.3 ✓ RT ✓C 1RT correct values MP Distance = 964 km × 1000 1C conversion L1 = 964 000 m ✓ A 1A 964 000 m (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2023) 1.2.4 (a) Port St. Johns OR Port Edward ✓ ✓A 2 A town MP (2) L1 1.2.4 (b) ✓A 1A correct distances MP Distance = 201 + 36 ✓ M 1M Addition L1 = 237 km ✓ A 1A 237 km (3) 1.2.5 R617; R101; R56 ; R61 ✓ ✓RM 2RM correct provincial MP roads L1 (Accept any two answers) (2) [23] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P2 5 QUESTION 2 [18] Quest. Solution Explanation Level 2.1.1 2RM correct answer MP Bar Scale ✓✓ RM L1 (2) 2.1.2 MP South West ✓✓ RM 2RM correct L2 direction (2) 2.1.3 ✓M 1M measured value MP 2 cm : 250 km L3 ✓M 1M multiply by 250 9,6 × 250 and divide by 2 9,6 cm : 2 1CA correct answer ≈ 1 200 km ✓ CA 1J correct Mr. Antonie is incorrect ✓ J justification (4) 2.2.1 M 1 635 1MA divide by17,25 L2 Average Speed = ✓ MA 17,25 1A correct answer = 94,782 ✓A 1R correct rounding = 94,78 km / hr ✓R (3) 2.2.2 (a) 1 litre = 12,5 km 1MA dividing by MP 1 635 12,5 L4 No. of litres = 12,5 × 1 ✓MA 1A correct answer = 130,8 ✓A 0,80 litre = 10 km 1MA dividing by 10 1 635 No of litres = 10 × 0,80 ✓MA = 130,8 ✓A 1A correct answer Mr Amos statement is incorrect. ✓J 1J correct deduction (5) 2.2.2 (b) Cost = 130,8 × R24,75 ✓M 1M multiply by 130,8 M L2 = R3 237,30 ✓A 1A correct answer (2) [18] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2023) QUESTION 3 [32] Quest Solution Explanation Level 3.1.1 M Mass of cake = 900 ÷ 1 000 ✓M 1M divide by 1000 L1 = 0,9 kg ✓A 1A correct answer (2) 3.1.2 M 900 1M divide by 12 L2 Mass of one slice = ✓M 12 = 75 g ✓ A 1A correct answer (2) 3.1.3 M 75 1M multiply by 75 L2 Calories of one slice of cake = × 400 ✓✓ M 100 1M divide by 100 = 300 calories ✓A 1A correct answer (3) 3.1.4 Convert min to hrs 1M conversion ratio M ✓M L1 75 min ÷ 60 = 1,25 hrs ✓ A 1A correct answer (2) 3.1.5 90 guests = 90 slices ✓M 1M number of slices M L1 Number of Cakes = 90 ÷ 12 ✓M 1M divide by 12 = 7,5 cakes ✓CA 1CA number of cakes ≈ 8 cakes ✓R 1A correct rounding (4) 3.2.1 M 3 1M multiplication L2 Cups = 8 × ✓M 4 1A correct answer = 6 cups ✓A (2) 3.2.2 Cocoa = 8 × 90 g ✓M 1M total grams M 1M amount L3 Required Amount = 720 g ÷ 240 g = 3 ✓M ✓M 1M multiplication Cost = 3 × R 62,75 1A correct cost = R188,25 ✓A (4) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P2 7 3.2.3 ℃ = (℉ − 32) ÷ 1,8 1SF substitution M ✓SF L2 = (320 – 32) ÷ 1,8 ✓M = 288 ÷ 1,8 1M 268 ÷ 1,8 = 160 ℃ ✓ CA 1CA correct rounding (3) 3.2.4 M Starting time 09h 03 + 55 min ✓M 1M adding time L2 Finishing time = 09h 58 ✓ A 1A correct answer (2) 3.3.1 Radius = 86 mm ÷ 2 = 43 mm ✓ A 1A radius value M Convert: 43 mm ÷ 10 = 4,3 cm ✓ C 1C conversion L3 Volume of one can = 3,142 × 4,3 × 4,3 × height ✓SF 1SF correct values 546,10 cm3 = 58,09558 cm2 × height Height = 546,10 cm3 ÷ 58,09558 cm2 = 9,4 cm ✓CA 1CA height value (4) 3.3.2 ✓M CA value from Q 3.3.1 M Height of label = 80% × 9,4 cm 1M calculating 80% of L3 = 7,52 cm ✓A 9,4 1A for 7,52 cm Difference = 9,4 – 7,52 1M difference value of = 1,88 cm ✓M 1,88 cm His statement is invalid ✓J 1J justification (4) [32] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2023) QUESTION 4 [27] Quest Solution Explanation Level 4.1.1 2A correct explanation MP Shows a building’s plan as seen from above. It is a 2- L1 dimensional view of the building. ✓✓ A (2) 4.1.2 One window ✓✓ A 2A correct answer MP (2) L2 4.1.3 1 mm represents 100 mm MP Length of wall 1M for measurement L4 ✓M 1MA using conversion 114 mm = 114 × 100 ✓ M factor = 11 400 mm ÷ 1 000 ✓ M 1M conversion to m = 11,4 m ✓ CA 1CA for 11,4 m Width of Wall ✓M 1M for measurement 77 mm = 77 × 100 1M conversion to m = 7 700 ÷ 1 000 ✓ M = 7,7 m ✓ CA 1CA 7,7 m (7) 4.1.4 ✓ MA M Width = 19,38 m2 ÷ 10,2 m 1MA 19,38 ÷ 10,2 L4 = 1,9 m ✓ A 1A correct answer Times lesser = 10,2 ÷ 1,9 m ✓ MA 1MA divide by correct = 5,37 times values Mrs Smith’s statement is invalid. ✓ J 1J correct justification (4) 4.2.1 M Area Circle = 𝜋 × r2 L3 = 3,142 × 1,65 × 1,65 ✓ SF 1SF correct radius = 8,55 cm2 ✓ A 1A correct answer Area square = side × side = 0,9 × 0,9 = 0,81 cm2 ✓ A 1A correct answer Area of coin = 8,55 – 0,81 ✓ M 1M subtraction = 7,74 cm2 = 7,7 cm2 ✓ A 1A correct rounded off (5) 4.2.2 Mass of coin = 1,47 × 19,30 ✓ M 1M correct values M L2 = 28,371 grams ≈ 28,4 g ✓ A 1A correct answer (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P2 9 4.3.1 1A numerator P 12 ✓ A Probability gold coin = 1A denominator L2 16 ✓ A = 0,75 ✓ A 1A correct answer (3) 4.3.2 The probability of selecting a gold coin has a much greater P chance of happening than not happening. ✓✓ O 2O correct reasoning L4 OR Very likely to select a gold coin. ✓✓ O 2O correct reasoning (Accept any relevant answer.) (2) [27] TOTAL: 100 Copyright reserved Please turn over