Mathematical Literacy Grade 12 P1 2026 Memo (Eng)

hlayiso mock exams Practice Series: Grade 12 NSC Preparation WWW.HLAYISO.COM NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 PREDICTION EXAMINATION 2026 MARKING GUIDELINES MARKS: 150 These marking guidelines consist of 12 pages. Copyright reserved Please turn over

Mathematical Literacy/P1 2 Hlayiso/Prediction 2026 NSC – Marking Guidelines SYMBOL AND EXPLANATION Symbol Explanation Symbol Explanation M Method A Accuracy MA Method with accuracy CA Consistent accuracy MCA Method with consistent accuracy C Conversion D Definition SF Substitution in a formula O Opinion/Reason/Conclusion R Rounding RT/RG Reading from a table/graph S Simplification F/D/P Topic: Finance/Data handling/Probability L1–L4 Taxonomy level NOTE: • If a candidate answers a question TWICE, only mark the FIRST attempt. • Consistent accuracy (CA) applies in ALL aspects of the marking guidelines. Stop marking at the second calculation error. • Answers only, without working, are awarded full marks unless the question requires calculations to be shown (e.g. “Verify, showing ALL calculations”). • No penalty for rounding (NPR) if the first decimal is correct, except where money is involved. • The topic and taxonomy level of each item is shown at the bottom of the explanation column. QUESTION 1 [30 MARKS] 1.1.1 F ✓✓A correct letter D/L1 (2) 1.1.2 C ✓✓A correct letter F/L1 (2) 1.1.3 B ✓✓A correct letter F/L1 (2) 1.1.4 E ✓✓A correct letter F/L1 (2) 1.2.1 A = R960,00 ÷ 3 ✓MA dividing by 3 = R320,00 ✓A simplification F/L1 (2) Copyright reserved Please turn over

Mathematical Literacy/P1 3 Hlayiso/Prediction 2026 NSC – Marking Guidelines 1.2.2 B = R250 + R2 950 + R960 + R700 ✓MA adding ALL amounts = R4 860,00 ✓A simplification F/L1 (2) 1.2.3 10 single lessons = 10 × R320 = R3 200 ✓MCA cost of 10 lessons Saving = R3 200 − R2 950 and subtracting = R250,00 ✓CA simplification (CA from 1.2.1) F/L1 (2) 1.2.4 Cost per lesson in package = R2 950 ÷ 10 = R295 ✓A R295 R295 : R320 ✓M values in correct order = 1 : (320 ÷ 295) ✓R rounded to two decimals = 1 : 1,08 F/L1 (3) (CA from 1.2.1) 1.3.1 January 2026 ✓✓RT correct month D/L1 (2) 1.3.2 Discrete data ✓✓A correct classification D/L1 (2) 1.3.3 A = 612 480 + 636 026 ✓MA adding correct values = 1 248 506 ✓A simplification D/L1 (2) 1.3.4 Two million seven hundred and seventy-one thousand ✓✓A number in words three hundred and eighty (1A if only ONE part of the number is incorrect) (Accept without ‘and’ or without the hyphen) D/L1 (2) 1.3.5 Any ONE, e.g. ✓✓A valid method • Electronic people counters/sensors at the entrances D/L1 (2) • Counting shoppers at the entrances (observation) • Records from turnstiles/security cameras Copyright reserved Please turn over

Mathematical Literacy/P1 4 Hlayiso/Prediction 2026 NSC – Marking Guidelines 486 215 1.3.6 P(weekday) = × 100% ✓RT both correct values 798 855 = 60,86% ✓MA percentage concept (Accept 60,9% or 61%) ✓A simplification P/L1 (3) [30] QUESTION 2 [32 MARKS] 2.1.1 Gross income = R38 500 × 13 ✓MA multiplying by 13 (or = R500 500 adding bonus) OR R38 500 × 12 + R38 500 = R500 500 ✓A simplification F/L2 (2) 2.1.2 Annual RA contribution = R2 400 × 12 = R28 800 ✓A using R500 500 Taxable income = R500 500 − R28 800 ✓MA annual RA = R471 700 contribution ✓M subtracting (Answer given: no marks for R471 700 only) F/L2 (3) 2.1.3 Tax bracket C ✓✓RT correct bracket (R370 501 – R512 800) F/L1 (2) Copyright reserved Please turn over

Mathematical Literacy/P1 5 Hlayiso/Prediction 2026 NSC – Marking Guidelines 2.1.4 Tax before rebates ✓SF substitution in bracket = R77 362 + 31% × (R471 700 − R370 500) C = R77 362 + 31% × R101 200 ✓M 31% of the difference = R77 362 + R31 372 ✓CA tax before rebates = R108 734 ✓RT primary AND Rebates (67 years old) = R17 235 + R9 444 = secondary rebate R26 679 ✓MA annual medical credits Medical tax credits = (R364 + R364) × 12 = R8 736 ✓M subtracting rebates and Tax payable = R108 734 − R26 679 − R8 736 credits = R73 319,00 ✓CA simplification (Max 5 marks if only the primary rebate is used: answer R82 763) F/L3 (7) 2.1.5 Ms Naidoo (45 years): only the primary rebate ✓RT only the primary rebate Tax = R108 734 − R17 235 − R8 736 = R82 763 R17 235 for a 45-year-old Difference = R82 763 − R73 319 = R9 444 ✓MCA Ms Naidoo’s tax OR The only difference is the secondary rebate of R82 763 R9 444 ✓CA difference R9 444 R9 444 < R10 000 ✓O comparison with Her claim is NOT VALID. R10 000 and conclusion NOT VALID OR ✓RT✓RT secondary rebate R9 444 is the only difference ✓A R9 444 < R10 000 ✓O conclusion (CA from 2.1.4) F/L4 (4) 2.2.1 Buying an item on credit by paying a deposit and then ✓✓D explanation fixed monthly instalments (with interest) over a fixed F/L1 (2) period. The item only belongs to the buyer once the final instalment has been paid. Copyright reserved Please turn over

Mathematical Literacy/P1 6 Hlayiso/Prediction 2026 NSC – Marking Guidelines R14 999 2.2.2 Price excl. VAT = ✓M using 115% 1,15 100 ✓MA dividing correct values OR × R14 999 ✓A simplification 115 = R13 042,61 (R12 749,15 from 85%: 1 mark only) F/L2 (3) 2.2.3 Deposit = 10% × R14 999 = R1 499,90 ✓MA deposit Monthly payment = R729,95 + R69,00 = R798,95 ✓MA adding service fee 24 payments = 24 × R798,95 = R19 174,80 ✓M multiplying by 24 Total = R1 499,90 + R19 174,80 ✓CA total = R20 674,70 (Without the service fee: R19 018,70, max 3 marks) F/L3 (4) 2.2.4 Extra amount = R20 674,70 − R14 999 = R5 675,70 ✓MCA difference R5 675,70 ✓M percentage of the cash % more = × 100% R14 999 price = 37,84% ✓CA simplification (CA from 2.2.3) F/L3 (3) (Using the HP total as the base: 27,45%, max 2 marks) 2.2.5 Any ONE, e.g. ✓✓O valid reason • She does not have R14 999 in cash now. F/L4 (2) • She can use the lounge suite while she pays for it. • Payments are spread over two years. • To build up a credit record. [32] Copyright reserved Please turn over

Mathematical Literacy/P1 7 Hlayiso/Prediction 2026 NSC – Marking Guidelines QUESTION 3 [30 MARKS] 3.1.1 4; 6; 7; 8; 8; 9; 10; 11; 12; 12; 12; 14; 15; 16; ✓✓A all values in ascending 31 order (1 mark if ONE value is missing or misplaced) D/L1 (2) 3.1.2 Sum = 4 + 6 + 7 + 8 + 8 + 9 + 10 + 11 + 12 ✓MA adding all values + 12 + 12 + 14 + 15 + 16 + 31 = 175 ✓M dividing by 15 175 ✓A simplification Mean = 15 D/L2 (3) = 11,67 hours 3.1.3 Median = 8th value ✓✓A median = 11 hours D/L2 (2) (CA from 3.1.1) 3.1.4 Q1 = 8 hours (4th value) ✓A Q1 Q3 = 14 hours (12th value) ✓A Q3 IQR = Q3 − Q1 = 14 − 8 ✓SF substitution = 6 hours ✓CA simplification D/L3 (4) 3.1.5 12B ✓A minimum 4 and maximum 31 (whiskers) ✓A Q1 = 8 and Q3 = 14 12A (box) ✓A median at 11 0 5 10 15 20 25 30 35 ✓A box-and-whisker drawn (CA from 3.1.3 and 3.1.4) correctly to scale D/L3 (4) 3.1.6 IQR of 12A = 6 hours ✓RT IQR of 12A (CA from IQR of 12B = 13 − 6 = 7 hours 3.1.4) The smaller IQR shows that the data is more ✓MA IQR of 12B consistent: 6 hours < 7 hours. ✓O conclusion with reason Her statement is VALID. D/L4 (3) Copyright reserved Please turn over

Mathematical Literacy/P1 8 Hlayiso/Prediction 2026 NSC – Marking Guidelines 3.2.1 (Double/multiple/broken) line graph ✓✓A line graph D/L1 (2) 3.2.2 Range = 710 − 260 ✓RG both values = 450 pairs ✓A simplification D/L1 (2) 820 − 310 3.2.3 % decrease = × 100% ✓RG 820 and 310 820 510 ✓M percentage decrease = × 100% concept 820 = 62,2% ✓A simplification D/L2 (3) 3.2.4 Any ONE, e.g. ✓✓O valid reason • The new school year starts in January. D/L4 (2) • Learners outgrow their shoes during the year/need new shoes. • Parents buy shoes with December bonuses for the new school year. 3.2.5 Months with more than 300 pairs: Jan, Apr, Jul, Aug, ✓RG 8 months Sep, Oct, Nov, Dec = 8 months ✓M probability concept (out 8 of 12) P= × 100% 12 ✓A percentage = 66,67% (9 months: 75%, max 2 (March, 300 pairs, is NOT more than 300.) marks) P/L2 (3) [30] Copyright reserved Please turn over

Mathematical Literacy/P1 9 Hlayiso/Prediction 2026 NSC – Marking Guidelines QUESTION 4 [32 MARKS] 4.1.1 A = R600 + R4 × 50 = R800 ✓MA using R600 + R4 × 50 B = R12 × 100 = R1 200 ✓A A = R800 ✓MA R12 × 100 ✓A B = R1 200 F/L2 (4) 4.1.2 Total cost = R600 + (R4 × number of phones ✓A R600 fixed charged) ✓A R4 ×n OR Total cost = 600 + 4n F/L2 (2) 4.1.3 2 000 ✓A starting point (0; R600) Income ✓A any other correct point 1 500 ✓A a third correct point ✓A straight line drawn and 1 000 Total cost labelled F/L2 (4) 500 0 0 50 100 150 Points: (0; 600), (75; 900), (150; 1 200) 4.1.4 75 phones ✓✓RG break-even point (CA from graph drawn in 4.1.3) F/L1 (2) 4.1.5 Income = 280 × R12 = R3 360 ✓MA income Total cost = R600 + R4 × 280 = R1 720 ✓MA total cost Profit = R3 360 − R1 720 = R1 640 ✓CA profit R1 640 > R1 500, so his claim is VALID. ✓O conclusion OR Profit = (R12 − R4) × 280 − R600 = R1 640 F/L4 (4) 4.2.1 Sample ✓✓A sample D/L1 (2) 4.2.2 61 households ✓✓RG correct value D/L1 (2) Copyright reserved Please turn over

Mathematical Literacy/P1 10 Hlayiso/Prediction 2026 NSC – Marking Guidelines 32 − 17 4.2.3 % increase = × 100% ✓RG 32 and 17 17 = 88,24% ✓M percentage increase concept ✓A simplification D/L2 (3) 22 + 70 92 4.2.4 P= = ✓RG numerator 92 (Blocks 200 200 = 0,46 1 and 2 in summer) ✓A decimal answer P/L2 (2) 4.2.5 Block 1: 6 kℓ × R0,00 = R0,00 ✓MA 9 kℓ in Block 2 Block 2: 9 kℓ × R24,50 = R220,50 ✓MA 15 kℓ in Block 3 Block 3: 15 kℓ × R36,80 = R552,00 ✓MA 4 kℓ in Block 4 Block 4: 4 kℓ × R58,20 = R232,80 ✓M adding the basic charge Water charges = R1 005,30 ✓M adding 15% VAT Add basic charge: R1 005,30 + R95,00 = R1 100,30 ✓CA total including VAT Add VAT: R1 100,30 × 1,15 = R1 265,35 ✓O conclusion R1 265,35 > R1 200, so his statement is VALID. (34 kℓ × R58,20 for all the water: max 3 marks) F/L4 (7) [32] Copyright reserved Please turn over

Mathematical Literacy/P1 11 Hlayiso/Prediction 2026 NSC – Marking Guidelines QUESTION 5 [26 MARKS] 5.1.1 Weaker (1 USD = R17,52) ✓✓A weaker F/L1 (2) 5.1.2 Cost in MUR = 2 × 2 950 + 2 × 1 475 = 8 850 MUR ✓MA total in MUR In rand = 8 850 × R0,3980 ✓M converting to rand = R3 522,30 ✓CA simplification OR 8 850 ÷ 2,5126 = R3 522,25 F/L2 (3) (Accept R3 522,25 to R3 522,30) 5.1.3 Rand value = 20 000 × R0,3980 = R7 960,00 ✓MA converting to rand Commission = 1,75% × R7 960 = R139,30 ✓MA commission Total = R7 960 + R139,30 ✓M adding commission = R8 099,30 ✓CA total OR R7 960 × 1,0175 = R8 099,30 F/L3 (4) (Using ÷ 2,5126: R7 959,88 → R8 099,18) 5.1.4 Insurance = 4 × R345 = R1 380 ✓MA insurance for 4 people Total = R68 400 + R8 099,30 + R1 380 ✓M adding all costs = R77 879,30 ✓CA total Left over = R85 000 − R77 879,30 = R7 120,70 ✓CA amount left R7 120,70 > R7 000, so her claim is VALID. ✓O conclusion (CA from 5.1.3) F/L4 (5) (Using R8 099,18: R7 120,82 left, VALID; full marks) 5.2.1 The inflation rate decreased from 6,9% in 2022 to ✓✓A decreasing trend 4,4% in 2024. D/L4 (2) Copyright reserved Please turn over

Mathematical Literacy/P1 12 Hlayiso/Prediction 2026 NSC – Marking Guidelines 5.2.2 Increase for 2024 = 6,0% + 2% = 8% ✓RT 8% Fees 2024 = R18 600 × 1,08 = R20 088,00 ✓M increasing by 8% Increase for 2025 = 4,4% + 2% = 6,4% ✓CA 2024 fees Fees 2025 = R20 088 × 1,064 ✓RT 6,4% = R21 373,63 ✓CA 2025 fees (Inflation used without the +2 percentage points: R18 600 × 1,06 × 1,044 = R20 583,50, max 3 marks) (Percentages added and applied once: R18 600 × 1,144 = R21 278,40, max 3 marks) (Same-year rate used, R18 600 × 1,064 = R19 790,40 for 2024, then stopped: max 2 marks) F/L3 (5) 2 1 5.2.3 P(inflation > 5%) = = (0,5 or 50%) ✓A numerator 4 2 (2022 and 2023) ✓A denominator P/L2 (2) R21 373,63 − R18 600 5.2.4 % increase = × 100% ✓M percentage increase R18 600 = 14,91% concept 14,91% < 15%, so his statement is NOT VALID. ✓CA simplification (CA from 5.2.2) ✓O conclusion F/L4 (3) [26] TOTAL: 150 COGNITIVE LEVEL AND TOPIC ANALYSIS Topic Marks % L1 L2 L3 L4 Total Finance 92 61,3% Marks 48 39 31 32 150 Data handling 48 32,0% Percentage 32,0% 26,0% 20,7% 21,3% 100% Probability 10 6,7% Copyright reserved