Maths LIT Grade 12 NSC P1 MEMO September 2025 Limpopo

¢ eee ee ee ee ee MARKS: 150 REPUBLIC OF SOUTH AFRICA —<— DEPARTMENT OF EDUCATION NATIONAL SENIOR CERTIFICATE PROVINCIAL PREBARATORY EXAMINATION MATHEMATICAL LITERACY P1 REVISED MARKING GUIDELINES SEPTEMBER 2025 Symbol Explanation M Method MA Method with accuracy CA Consistent accuracy A Accuracy Cc Conversion S Simplification RT Reading from a table/graph/document/diagram SF Correct substitution in a formula oO Opinion/Explanation P Penalty, e.g. for no units, incorrect rounding off, ete R Rounding off NPR No penalty for rounding AO Answer only MCA Method with consistent accuracy RCA Rounding consistent with accuracy This marking guideline consists of 13 pages. *

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 item presented. NB: There are extra or alternative solutions for the following sub-questions at the end of the marking guidelines 2.2.3 2.2.4. 4.1.2. QUESTION I [26 MARKS] ANSWER ONLY FULL MARKS (2) Q Solution Explanation T&L 1.1.1 | Value Added Tax ¥WA 2A correct acronym E (2)| LI 1.1.2 | Discount price F =R80+4YMA Ll =R20 VA OR Discount price =R20x4“MA 1MA dividing correct values =R80 VA 1A simplification (2) 1.1.3 | Number of Combo’s F = R400 + R80 “MA IMA dividing correct values Ll =5 VA 1A simplification (2) ld. | P(selecting a Chilly Cheese flavoured packet of Tennis P Biscuits) Ll =0VVA OR Impossible ~“A 2A correct probability (2) 1.1.5 | Total price F = R21,99 + R16,99 YMA 1MA adding correct values LI =R3898 VA 1A simplification

1.1.6 | Total amount 1MA multiplying correct F =R16,99 x 5YMA values Li = RB495 VA 1A simplification OR OR Total amount *R 16,99 +R 16,99 + R 16,99 + R 16,99 + R 16,99 ¥MA 1MA adding correct values =R84,95VA 1A simplification (2 1.1.7. | Total price F = R80 + R90 YMA 1MA adding correct values Ll 1A simplification =RI70VA (2) 1.2 1.2.1 | Categorical dataWWA 2A correct classification D (2), LI 1.22 YRT IRT correct amount from table | F Three hundred and ten million two hundred and thirty-five : LJ 1A amount in words thousand rand. WA (2) 1.2.3 | A deficit is when the total current expenses is more than the F total current income Y™WA Ll OR A deficit is when the total current income is less than the total current expenses VW A 2A correct explanation (2) 1.24 |C OR CertainVvVA 2A correct probability P _— (2)) LI 1.2.5 | Surplus F =R 377 194 000 — R 340 861 000 ™MA LI =R 36 333 000 WA OR Sumlts a 1MA subtracting correct =(R 377,194 — R 340,861) million YMA values = R 36,333 million WA 1A simplification (2 1.2.6 CA from Question 1.2.5. D 2021-2022 VWA 2A correct year Ll (2) [26]

QUESTION 2 [36 MARKS] Q Solution Explanation T&L PRB Cost VAT excluded “SF YRT =(6kI x RO) + (4kl x R22,26) + (4kl x R23,23) ~™MA =RI181,96 YCA Cost VAT included 1415 =R181,96 x — YMCA 100 = R209,25 ¥CA Total cost = R209,25 + R31,08 YMA =R240,33 ¥CA OR Cost VAT excluded vSF YRT = (6kl x RO) + (4kl x R22,26) + (4k x R23,23) YMA = R181,96 YCA Cost VAT included 15 =R181,96 x —- YMCA 100 =R27,29 Cost VAT included = R181,96 + R27,29 =R209,25 VCA Total cost = R209,25 + R31,08 YMA =R240,33 ¥CA 1SF correct distribution of kls IRT correct tariffs IMA adding values ICA simplification oo 115 IMCA multiplying by i00, ICA simplification 1MA adding the fixed levy ICA simplification OR 1SF correct distribution of kls IRT correct tariffs IMA adding values ICA simplification 15 IMCA multiplying by too 1CA simplification 1MA adding the fixed levy 1CA simplification (8) FL3

2.1.2 |Percentage CA from Question 2.1.1 F L2 _R31,08 1A numerator 0, raa033 X 100% VAVA 1A denominator F 12,93222% = 12,9% YCA ICA simplification INPR (3 2.2.1 [Months FLI L 10 years/jaar x 12 WMA 1MA multiplying correct values = 120 months/maande YCA 1A simplification AO (2) 2.2.2 |Rate per month FL2 10,75% oT Sr YMA IMA dividing by 12 = 0,8958% ¥CA 1CA simplification =0,9% YR IR to one decimal place 3 2.2.3) Total cost IMCA number of months F YR YMCA 1SF correct instalment L2 = (R68 033 x 120) + RI 600 015 SF 1SF correct once-off cost =R8 163 960 + R1 600 015 YMA 1MA simplification =R9 763 975 YCA ICA total cost (5 2.2.4 CA from Question 2.2.3 F [Amount more 14 I R9 763 975 -- R5 990 000 F R3 773 975 ¥CA 3773975 m ——— 09 % more = 5990000. % 100% YMCA = 63% ¥CA Not Correct/Incorrect “O 1CA total loan cost 1CA simplification 10 conclusion/verification 1MCA percentage calculation (4)

DDS 1* Year =R 350 000 x 17% =R59 500 Total = R 350 000 + R 59 50 =R 409 500 2™ Year = R 409 500 x 17% =R69615 \Total = R 409 500 + R 69 615 =R 479 115 3" Year =R479 115 x 17% =R 81 449,55 [Total = R 479 115 + R81 449,55 =R 560 564,55 =R 557 600 OR [Total amount owed in three years = R 350 000 x 1,17 x 1,17 x 1,17 = R 560 564,55 = R 560 600 1MA interest calculation L3 ICA simplification 1CA using correct amount 1CA simplification 1CA simplification IR to the nearest Hundred Rand (6

Q Solution Explanation T&L 2.2.6 {Total monthly instalments option two F Lis x 12* R55 935 YMA IMA multiplying correct L4 values E R10 068 300 YCA 1A simplification [Total manthly instalments option three 20 « 12 x R50 659 F R12 158 160 YCA ICA simplification Difference R12 158 160 — R10 068 300 = R2 089 860 ¥CA ICA simplification INVALID ¥O 10 verification (5) [36] UESTION 3 [36 MARKS] Q Solution Explanation T&L D 3.1.1 | Kenya, ~RT IRT first correct country Ll Botswana, ~RT Senegal IRT last two correct countries 3.1.2. | C OR Compound bar graph WW A 2A correct graph D (2) LI 3.1.3. | Algeria VWA 2A correct country D (2)| L2 3.1.4 D 2,9%: 8,2%; 8.3%; 9,1%; 10,1%; 10,2%; 12,4%; 1M arranging in order L3 12,8%; 12,7%; 21,3% VM Median IRT all correct percentages | 10,1%+10,2% YRT YM 1M concept of median 2 = 10,15% YCA 1CA simplification (4 Probability of countries with inflation rate less thanl0% P 3:15 4 1A correct numerator L2 F 10 VAYA 1A correct denominator = 0,4 YCA 1CA simplification (G)

3.1.6 | Mean D vSF L3 8,9%+9,0%49,3°%+9,3%44,1%+10,4%+10,6%+10,2%+P+25,5% 11,14% = ¥M 10 YMA VA 11.14 * 10=97,3 +P P 111.4-97,3 ~™MCA =14,1% WCA 1Sf correct substitution of mean 1M concept of mean 1A adding table values IMA multiplying by 10 1MCA P as subject of the formula 1CA simplification (6) 3.1.7 |NoVA 1A D The mean is affected by outliers ™YO 20 correct reason me 3 32 3.2.1 | Total population in 2023 = 17 979 000 D I Total population in 2022 = 17 826 000 Difference = 17979 000 — 17 826 000 W¥RTY MA = 153 000VA OR Difference = (17,979 — 17,826) million WRT YMA = 0,153 = 1 000 000 = 153 000VA IRT correct values 1MA subtracting correct values 1A simplification If the zeros are omitted, max 2 marks (3)

3.2.2 |Range + Highest - Lowest D 104,535 = 106.981 -B WSF ISF substituting correctly | L2 B = 106,981 — 104,535 “MCA IMCA subtracting values =2,446VCA 1CA simplification 6) 3.2.3. | Percentage increase D YMA 12 107,734-106,981 1MA subtracting values = x 100% 106,981 IRT denominator YRT = 0,703863% =0,7% ¥CA 1CA simplification INPR GB 3.2.4 Kenya¥VA 2A correct modes D (2) LI 3.25 Egypt WRT IRT correct country Py Its population size is far much bigger than that of the other jnine countries ¥¥O 20 opinion/reason (3) [36] QUESTION 4 [30 MARKS] Q Solution Explanation T&L 4.1.1 | Ascending order D YRT IRT correct values LI 155; 600; 600; 1 250; 1 750;2 450 WA 1A correct order (2) 4.1.2. | Ratio F ¥RT IRT correct values L2 1 250 : 600 YM IM correct order 25:12VA 1A simplification GB

4.1.3 [Profit F YRT IRT correct selling and L3 cost price = (R248 x 6) - (R155 x 6) “MA IMA multiplying both by ; 6 Fi) BBR CA, IMCA concept of profit = R558 VCA ICA simplification OR OR Profit YRT IRT correct selling and cost = R248 —- R155 ~MCA price 1MCA concept of profit =R93 x 6VYMA 1 MA multiplying by 6 =R558VCA 1CA simplification (4 4.1.4 F Profit on one bat L4 =R2765—RI1 750 “™MA =RIOISVA Profit percentage Profit on one bat Cost price _ R1015 = oy wv 1750 x 100% YMCA = 58% ¥CA x 100% Bran is correct YO 1MA subtracting correct values 1A simplification IMCA dividing correct values 1CA simplification 10 correct opinion (5)

Q Solution _ Explanation T&L 4.1.5 | R1 250 x 60% YMA IMA multiplying correct F = R50 amount with 60% i2 S = RI 250 +R750 “MCA IMCA adding correct values = R2000 ¥CA 1CA simplification OR OR 160 1RT correct cost price 160 R12 50YRT x 100 YMCA IMCA multiplying with 100 =R2000 YCA 1CA simplification (6) 4.2 4.2.1 | Box and whisker diagram VWA 2A correct diagram D (2)| LI 4.2.2 D (a) Maximum distance of Bran. [4k WW A 2A correct distance 14km L2 (2 4.2.2 : D (b) Minimum distance of Sam = 1,5km WW¥A 2A correct distance 1,5km L2 ( 4.2.3 Median = 9,5km “™“A 2A correct median D (2) LI 4.2.4 | Interquartile range D L4 =Q3-QI VF IF correct formula YRT IRT quartiles 3 & 1 =10,5—6,5 YM 1M subtracting values = 4,0kmVCA 1CA simplification INVALID ¥O 10 verification (5) [30] QUESTION 5 [22 MARKS] Q/V __| Solution/Oplossing Explanation T&L 5.1.1 RI =0,725671 BWP ¥VWA FI2 OR 1 BWP = R1,3778640627 VV A PA correct exchange rate 5.1.2 | Botswana PulaW~”“A 2A correct currency FL2 (2

RO,4 million x 40% “MA = RO,16 million YA = RO,16 million x 7,48593 ~MCA = 1,1977488 million DZD = 1 197-748,80 DZD YCA OR RO.4 million x 40% “MA - RO.16 million “A _ R0.16 million 0,1335639368 = 1,197 748 799 million DZD - 1 197 748,80 DZD WA DZD YMCA OR R 400 000 x 40% YMA = R160 000 WA = R160 000 x 7,48593 YMCA F 1 197 748,80 DZD ¥CA OR IRO,4 million =R400 000 = R400 000 x 40% YMA = R160000 WA |_ R160 000 01335839368 DZD YMCA - 1 197 748,80 DZD ¥CA 1MA multiplying correct 1A simplification IMCA multiplying by lexchange rate 1CA correct amount OR IMA multiplying correct alues 1A simplification IMCA dividing by exchange irate 1CA correct amount OR IMA multiplying correct 1A simplification IMCA dividing by exchange irate ICA simplification OR 1MA multiplying correct alues 1A simplification IMCA dividing by exchange irate 1CA simplification values (4) FL2

5,2 =RI101 129,08 YCA VALID YO IMCA subtracting medical credits 1CA simplification 10 verification (4) 5.2.1 [Yearly taxable income F IMA multiplyi t t L R46 031,50 x 12 YMA bY aie iplying correct amount| [ ] _ R552 378 WA 1A simplification e | 5.2.2 | South African Revenue Services VA 2A correct institution F Accept SARS LI (2) 5.2.3. [Total Amount Of Tax ICA from Question 5.2.1 F L3 R 115 762 + 36% x (R552 378 — 488 700) “~RT WSF IRT correct tax bracket R 115 762 + 36% Xx 63 678 IR 115 762 + 22 924,08 1SF substitution in formula [- R138 686,08 ¥CA 1CA simplification (6) 5.2.4 Annual Medical credits IRT adding correct medical F _ 4 credits L2 = (R364 + R364 + R246) YRT x |2YM 1M multiplying by 12 = R974 x 12 =RI11 688 ¥CA ICA simplification GB Swe) ‘CA from Questions 5.2.3 and| F L4 : 5.2.4 v annual tax RT IRT primary & secondary = R138 686,08 -- (R16 425 - RO 444) - R11 688 ~MCA rebates [22] TOTAL: 150

EXTRA SOLUTIONS [2.2.3 | Total cost (CA from 2.2.1. F “SF YMCA YSF IMCA number of months L2 = (R68:033 x 120)+ (RI 600 015+R 1000000) _|!SF correct instalment ; 1SF correct once-off cost & deposit = R& 163 960+R2 600 015 YM IM adding amounts =R10 763 975 CA 1CA total cost es ew eee 2 ee G 2.4 | Amount more CA from Question 2.2.3 F L4 = R10 763 975 — R5 990 000 1CA total loan cost =R4773 975 YCA % more = — x 100% “MCA 1MCA percentage calculation = 79,69908% =79,1% VCA 1CA simplification INOT CORRECT/INCORRECT YO 10 conclusion/verification NPR (4 4.1.2 Ratio YRT IRT correct values 1250 : 600 YM 1M correct order 1 : 0,48 VCA 1CA simplified as unit ratio (3)