Technical Mathematics Memo 1 (Afrikaans and English)

November 2020 — Grade 12 / Matric — Technical Mathematics

Memo 2020 Grade 12 Afrikaans Mathematics Hub →

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🎯 150 marks 📄 6 pages 📝 65 items found ∑ 3 math symbols 📚 6 topics

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1.1.1(a\ OR/ OF length/ lengte (1\

1.1.1(b\ OR/ OF breadth/ breedte (1\

1.1.2SF CA (2\

1.1.3OR/ OF equation/ vergelyking CA factors/formula faktore/formule CA both

1.2.1standard form/ tandaard orm SF CA both values of

1.3and / en OR /OF OR/ OF OR/ OF and/

1.4.1OR/ OF making the subject/ maak f die onderwerp (1\

1.4.2OR/ OF substitution/ vervanging CA value of/ waarde van CA

5.1OR OF 32 + 16 + 2 +1 + 32+16+ 8 +1 = 112 correct sum/ korrekte som (1\

1.5.2= 64 + 32 + 16 = 112 OR/ OF

2.1.1substitution/ vervanging value of/ waarde van CA (2\

2.1.2

2.2.1OR /OF standard form/ standaard vorm (1

2.2.2subst. in discriminant/ vervanging in dikriminant CA CA perfect square

3.1.1OR/ OF prime bases/ rie grondtalle

3.1.2= 1 OR/ OF OR/ OF OR/ OF simplified surds/

3.2OR/ OF OR/ OF OR/OF log property/ eienskap power

3.3.1total impedance/ totale impedansie (1\

3.3.2OR/ OF OR/ OF value of modulus waarde

3.4OR/ OF OR/ OF product/ produk CA

4.1.1length of radius/ lengte van radius (1\

4.1.2CA from /vanaf /V

4.1.1f: both intercepts/ beide afsnitte CA negative straight line /negatiewe reguitlyn CA

4.1.3OR/ OF end points/ eindpunte CA correct notation/ korrekte notasie

4.2Horizontal asymptote horisontale asimptoot intercept/ afsnit

4.3.1

4.3.1(b\ P ( 4 ; 0\ (2\ .3.2 OR/OF

4.3.3OR/OF substitution/ vervanging CA ( Q4.3.2

4.3.4value of/ waarde van substitution/ vervanging value of/ waarde van

4.3.5OR/OF range/ waarde versameling (1\ (\

4.3.6OR /OF OR/ OF value of/ waarde van at/ by

5.1.1OR /OF Loan value/ leningswaarde Loan value/ waarde van lening

5.1.2OR /OF SF value of reater

5.2There were 75 unskilled workers during April 2019 Daar was 75 ongeskoolde werkers gedurende April 2019 F A SF A Number of un skilled

5.3.1Value of the investment at the end of the first 2 years waarde van belegging einde van eerste 2 jare SF A CA (2\

5.3.2Value of the investment after change in interest rate for 2 years/ waarde van belegging na rentekoersverandering vir 2 jaar: Value of the investment after withdrawing/ waarde van belegging na onttrekking:

5.3.1SF CA CA M subtracting aftrek 20000 dif

6.1OR/ OF OR/ OF definition/ definisie SF

6.2.1derivative/ afgeleide (1\

6.2.2exponent vorm/ eksp vorm CA CA CA CA (5\

6.3OR/ OF OR/ OF sub st/ verv

7.1OR/ OF (0 ; 3\ intercept Afsnit

7.2OR/ OF (1 ; 0 \ or/ of 3 ;0\

7.3OR/ OF OR/ OF derivative/ afgeleide factors/formula

7.4cubic shape vorm intercepts/ afsnitte

7.5OR/OF CA from vanaf /V .4

8.1.1distance/ afstand (1\

8.1.2derivative/ afgeleide substitution in derivative ervanging in afgeleide

8.2.1(a\ OR/ OF OR/OF area/ oppervlakte equat. area to/ stel oppervl gelyk

8.2.1(b\ CA CA (2\

8.2.2OR/ OF derivative/ afgeleide CA equating derivative

9.1.1(2\

9.1.2OR /OF OR /OF power vorm/ magte vorm OR/ OF

9.2the unshaded area is LESS than the shaded area/ Die ongearseerde oppvlk is MINDER as die gearseerde oppervlakte. OR/

1.1.2Factors must have a variable and product should lead to a quadratic equation. Faktore moet onbekende x en die produk moet lei na kwadratiese vergelyking

1.1.3If is used and leading to negative values with not valid conclusion, maximum 2 marks Indien gebruik word en lei na negatiewe x

1.2.1

1.3If simplification leads to linear equation,maximum 3 marks

1.5.1If base 2 is omitted ,n o penalty indien grondtal 2 uitgelaat is; geen penalisering

2.2.1Order of terms not necessary orde van terme nie belangrik

2.2.2If p is omitted,accept ,maximum marks indien p uitegelaat is aanvaar maksimum punte

3.3.2

5.2If: Number of skilled workers

7.3If derivative is first degree,maximum 2 marks eerstegraadsvergelyking is maksimum punte

7.4If point by point plotted and Turning Point not shown maximum 3 marks indien punt vir punt geplot en draaipunt nie getoon

Mathematical Content

f(x)limtrig

Topics Identified

AlgebraCalculusGeometryTrigonometryAnalytical GeometryFinancial Maths

Mark Allocation

Total150 marks

Sections24 + 7 + 22 + 27 + 16 + 15 + 14 + 12 + 13 = 150 marks

Paper information

SubjectTechnical Mathematics

Year2020

SessionNovember

TypeMemo

PaperPaper 1

LanguageAfrikaans

Pages26

Downloads3

Examination context

Decade2020s

Years ago6y

SeasonSpring (SH)

Start dayThursday

Exam periodNovember 2020

Days since exam2,179

About Technical Mathematics examination preparation

Grade 12 Mathematics combines algebra, calculus, geometry, and trigonometry. Paper 1 focuses on algebra and calculus, while Paper 2 tests geometry, trigonometry, and analytical geometry.

Every available Grade 12 Mathematics past paper and memorandum is collected in the Mathematics hub at mathematics.freemode.co.za — browse all years, sessions and languages in one place.

How to use this resource for revision

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For stronger examination practice, complete the paper without unnecessary interruptions and keep track of the questions that take the most time. Afterwards, review the memorandum and separate knowledge gaps from mistakes caused by interpretation, calculation, structure, or examination technique.

interpreting mathematical problems

selecting appropriate methods

showing sufficient working

checking calculations and answers

working accurately under time constraints

A practical revision approach

Allocate roughly 1.5 minutes per mark. Show full working — the memorandum allocates substantial method marks, meaning partial solutions can still earn 60%+ when the working is logically structured.

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Corresponding examination paper

Examination paper available

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Technical Mathematics Paper 1 (Afrikaans) →

File details

File size1.01 MB

Pages26

Archived on7 September 2026

File age46d

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