In Matric Mathematics Paper 2 (2D & 3D Trigonometry), when do you apply the Sine Rule, the Cosine Rule, and the Area Rule in a non-right-angled triangle ABC?

Sine Rule (a / sin A = b / sin B = c / sin C): used when given 2 angles and 1 side (AAS/ASA) or 2 sides and a non-included angle (SSA). Cosine Rule (a² = b² + c² - 2bc cos A): used when given 2 sides and the included angle (SAS) or all 3 sides (SSS). Area Rule: Area of ΔABC = ½ ab sin C.

In Matric Accounting (Cash Flow Statement), what are the three main sections of the Cash Flow Statement, and how are Depreciation, Interest Paid, Taxation Paid, and Dividends Paid treated?

Three sections: 1. Cash flows from Operating Activities, 2. Cash flows from Investing Activities (purchase/disposal of fixed assets & financial assets), and 3. Cash flows from Financing Activities (proceeds from share issue, share buy-backs, change in long-term loans). Depreciation is a non-cash item added back to Net Profit before tax to find cash generated from operations; Interest Paid, Taxation Paid (Amount owing at start + Income statement tax - Amount owing at end), and Dividends Paid (Shareholders for dividends at start + Interim + Final - Shareholders for dividends at end) are subtracted under Operating Activities.

In Matric Accounting (Financial Indicators / Ratios), state the formulas and benchmarks for the Current Ratio, Acid-Test Ratio, Debt-Equity (Gearing) Ratio, and Return on Total Capital Employed (ROTCE).

Current Ratio = Current Assets : Current Liabilities. Acid-Test Ratio = (Current Assets - Inventories) : Current Liabilities (tests immediate liquidity without relying on selling stock). Debt-Equity Ratio = Non-Current Liabilities : Shareholders' Equity (below 0.5:1 is low gearing/low financial risk; above 1:1 is high gearing). ROTCE = [(Net Profit before tax + Interest on loans) / Average Capital Employed] × 100%—compare ROTCE against the interest rate on loans to determine whether gearing is positive (ROTCE > interest rate) or negative.

In NSC Matric Accounting, under the South African Companies Act 71 of 2008, how are Ordinary Share Capital and Share Buy-Backs (Repurchases) accounted for when a company buys back shares above the average issue price?

South African companies issue no-par-value shares recorded in a single Ordinary Share Capital account. When a company repurchases shares, Ordinary Share Capital is debited at the AVERAGE ISSUE PRICE per share (Total Ordinary Share Capital ÷ Total issued shares before buy-back), and any amount paid ABOVE the average issue price is debited to the Retained Income account.

In Matric Mathematics (Probability & Counting Principle), how many 7-letter arrangements can be made from the letters of 'PRETORIA', and what is the rule for Independent vs. Mutually Exclusive events?

'PRETORIA' has 8 letters with the letter 'R' repeated twice (so 8! / 2! = 20,160 total 8-letter arrangements). For two events A and B: Mutually Exclusive (cannot happen at the same time): P(A and B) = 0, so P(A or B) = P(A) + P(B). Independent (occurrence of one does not affect the other): P(A and B) = P(A) × P(B).

In Matric Business Studies (Labour Relations Act, LRA 66 of 1995), what is the purpose of the LRA, what are Workplace Forums, and what is the dispute resolution process through the CCMA?

The LRA promotes collective bargaining, workplace democracy, peaceful labour dispute resolution, and the right to strike/lockout. The CCMA (Commission for Conciliation, Mediation and Arbitration) resolves unfair dismissal and unfair labour practice disputes via Conciliation first, and if unresolved, binding Arbitration (Con-Arb). Workplace Forums may be established in businesses with more than 100 employees to consult and promote joint decision-making.

In Matric Business Studies (Basic Conditions of Employment Act, BCEA 75 of 1997), state the statutory provisions for Ordinary Working Hours, Overtime, Meal Intervals, and Leave (Annual, Sick, Maternity, Parental/Family Responsibility).

Ordinary hours: max 45 hours/week (9 hrs/day for 5-day week; 8 hrs/day for >5-day week). Overtime: max 10 hours/week, paid at 1.5× normal wage (2× on Sundays/public holidays). Meal interval: 60 minutes after 5 hours of continuous work (can be reduced to 30 min by written agreement). Annual leave: 21 consecutive days paid per year (or 1 day per 17 days worked). Sick leave: 30 days (5-day week) or 36 days (6-day week) over a 36-month cycle. Maternity leave: 4 consecutive months unpaid (claimable from UIF). Parental leave: 10 consecutive days. Family responsibility leave: 3 days paid per year.

In Matric Mathematics (Cubic Functions f(x) = ax³ + bx² + cx + d), how do you find the Stationary (Turning) Points, the Point of Inflection, and the Concavity?

Stationary points occur where the first derivative equals zero: f'(x) = 3ax² + 2bx + c = 0. The Point of Inflection (where concavity changes from concave up to concave down or vice versa, and also the midpoint between the two turning points' x-coordinates) occurs where the second derivative equals zero: f''(x) = 6ax + 2b = 0 => x = -b / (3a).

In Matric Business Studies (National Credit Act, NCA 34 of 2005 vs. Consumer Protection Act, CPA 68 of 2008), how do the two Acts protect South African consumers?

NCA 34 of 2005 regulates credit providers, prevents reckless lending (requiring affordability assessments before granting credit), caps interest/initiation fees, establishes the National Credit Regulator (NCR), and allows over-indebted consumers to apply for Debt Counselling. CPA 68 of 2008 promotes fair marketing and grants 8 fundamental Consumer Rights (Right to Choose, Right to Privacy, Right to Fair Value/Good Quality/Safety, 5-day cooling-off period for direct marketing, and the 6-month implied warranty to repair, replace, or refund defective goods).

In Matric Business Studies (Employment Equity Act, EEA 55 of 1998), what is the purpose of Affirmative Action, and which designated groups does it benefit?

The EEA eliminates unfair discrimination in the workplace and achieves equity through Affirmative Action measures to ensure equitable representation across all occupational levels for DESIGNATED GROUPS: Black people (Africans, Coloureds, and Indians/Chinese who are SA citizens), Women of all races, and People with Disabilities.

In Matric Business Studies (Corporate Governance - King Code), what are the core principles of the King Code on Corporate Governance ('Three P's' / Triple Bottom Line)?

Transparency, Accountability, and Responsibility/Ethical leadership, reporting on the Triple Bottom Line: Profit (Economic), People (Social), and Planet (Environmental) sustainability.

In Matric Business Studies (Investment Options), compare RSA Retail Savings Bonds, Unit Trusts, Shares (Ordinary vs. Preference), and Fixed Deposits.

RSA Retail Savings Bonds: low-risk government-backed investment starting from R1,000 with fixed or inflation-linked interest, no commission/fees. Unit Trusts: pooled funds from many investors managed by a fund manager across a diversified portfolio (medium risk). Ordinary Shares: voting rights, variable dividends declared after preference dividends (high risk/high return). Preference Shares: fixed dividend percentage paid before ordinary shareholders, priority claim on liquidation, usually no voting rights.

In Matric Mathematics (Functions & Inverses), how do you find the inverse of the exponential function y = b^x (b > 0, b ≠ 1), and how do you restrict the domain of a parabola f(x) = ax² so that its inverse f⁻¹ is also a function?

Swapping x and y in y = b^x gives x = b^y, which in logarithmic form is f⁻¹(x) = log_b(x) (domain x > 0, reflected across the line y = x). For a parabola f(x) = ax², restrict the domain to EITHER x ≥ 0 OR x ≤ 0 so that f becomes one-to-one and its inverse f⁻¹(x) = ±√(x/a) is a function.

In Matric Accounting (VAT - Value Added Tax in South Africa), what is the standard VAT rate in South Africa, and how do you calculate the VAT amount from a VAT-inclusive figure?

The standard VAT rate in South Africa is 15% (while basic foodstuffs like brown bread, maize meal, samp, milk, eggs, pilchards, fruit/vegetables, and illuminating paraffin are zero-rated at 0%). To extract VAT from a VAT-inclusive amount (115%): multiply by 15 / 115. Net VAT payable to SARS = Output VAT (collected on sales) minus Input VAT (paid on purchases).

In Matric Mathematics (Financial Maths), distinguish between the Future Value Annuity formula (F) and the Present Value Annuity formula (P), and explain how to calculate the Balance Outstanding on a loan after k payments.

Future Value (sinking funds/retirement savings): F = x[(1 + i)^n - 1] / i. Present Value (home loans/mortgages with payments starting one period after loan is granted): P = x[1 - (1 + i)^(-n)] / i. Balance Outstanding after k payments equals EITHER the Present Value of the remaining (n - k) payments OR the accumulated loan amount P(1 + i)^k minus the Future Value of the first k payments made.

In Matric Business Studies (Human Resources Function), distinguish between Recruitment (Internal vs. External), Selection, Induction, and Placement, and between Piecemeal and Time-Related salary determination.

Recruitment: attracting a pool of suitable applicants for a job vacancy (Internal from existing staff vs. External from outside); Selection: screening, shortlisting, interviewing, and choosing the best candidate; Placement: putting the selected candidate in the specific job matching their skills; Induction: orientating the new employee to the workplace culture/policies. Piecemeal pays workers per unit produced regardless of hours worked; Time-related pays workers for the number of hours/days worked.

In Matric Mathematics (Differential Calculus), write the formula for Differentiation from First Principles and find the derivative of f(x) = x² from first principles.

f'(x) = lim_(h→0) [f(x + h) - f(x)] / h. For f(x) = x²: f'(x) = lim_(h→0) [(x + h)² - x²] / h = lim_(h→0) [x² + 2xh + h² - x²] / h = lim_(h→0) h(2x + h) / h = lim_(h→0) (2x + h) = 2x (keep writing 'lim_(h→0)' on every line until you substitute h = 0 to avoid losing notation marks).

In NSC Matric Mathematics, how are topics split between Paper 1 (150 marks) and Paper 2 (150 marks)?

Paper 1 (Algebra & Calculus, 150 marks): Algebra, Equations & Inequalities, Number Patterns/Sequences & Series (±25), Functions & Graphs (±35), Finance, Growth & Decay (±15), Differential Calculus (±35), and Counting Principle/Probability (±15). Paper 2 (Geometry, Trig & Stats, 150 marks): Statistics & Regression (±20), Analytical Geometry (±40), Trigonometry (±50), and Euclidean Geometry (±40).

In Matric Mathematics Paper 2 (Analytical Geometry), how do you find the inclination angle θ of a line with gradient m, and the equation of the tangent to a circle (x - a)² + (y - b)² = r² at point P(x_1, y_1)?

Inclination angle: tan θ = m (if m ≥ 0, θ = arctan(m); if m < 0, θ = 180° + arctan(m)). For a tangent to a circle at P(x_1, y_1): by the Euclidean theorem 'radius ⊥ tangent at point of contact', calculate the gradient of the radius m_rad = (y_1 - b)/(x_1 - a), then use m_tan = -1 / m_rad in y - y_1 = m_tan(x - x_1).

In Matric Business Studies (COIDA), what is the purpose of the Compensation for Occupational Injuries and Diseases Act (COIDA 61 of 1997)?

COIDA provides statutory no-fault financial compensation for employees (or their dependants) who are injured, disabled, contract an occupational disease, or die in the course and scope of their workplace duties. Employers contribute monthly/annually to the Compensation Fund and are protected from civil damage claims by employees.

In Matric Business Studies (Broad-Based Black Economic Empowerment, BBBEE Act 53 of 2003 as amended), what are the 5 Revised BBBEE Scorecard Pillars?

Since the Revised Codes of Good Practice (reduced from 7 to 5 pillars): 1. Ownership, 2. Management Control (merged Management Control & Employment Equity), 3. Skills Development, 4. Enterprise and Supplier Development (ESD—merged Preferential Procurement & Enterprise Development, carrying the highest weight), and 5. Socio-Economic Development (SED).

In NSC Matric Business Studies (Legislation - Skills Development Act, SDA 97 of 1998), what are the roles of SETAs and how is the Skills Development Levy (SDL) funded?

SETAs (Sector Education and Training Authorities) develop sector skills plans, register learnerships, and approve workplace skills plans. Employers whose annual payroll exceeds R500,000 must pay a 1% Skills Development Levy (SDL) monthly to SARS, of which 80% is distributed to SETAs (for mandatory/discretionary grants) and 20% to the National Skills Fund (NSF).

In Matric Mathematics Paper 2 (Euclidean Geometry), state the Proportionality Theorem (Line Parallel to One Side of a Triangle) and the Tan-Chord Theorem with their exact acceptable DBE reasons.

Proportionality Theorem: A line drawn parallel to one side of a triangle divides the other two sides proportionally [Reason: 'line || one side of Δ' or 'prop theorem; DE || BC']. Tan-Chord Theorem: The angle between the tangent to a circle and a chord drawn from the point of contact is equal to the angle in the alternate segment [Reason: 'tan chord theorem'].

In Matric Mathematics Paper 2 (Statistics & Regression), what does the Least Squares Regression Line ŷ = a + bx represent, and how do you interpret the Pearson Correlation Coefficient (r)?

In ŷ = a + bx, 'a' is the y-intercept and 'b' is the gradient (rate of change), and the regression line ALWAYS passes through the mean point (x̄, ȳ). The correlation coefficient r (-1 ≤ r ≤ 1) measures the strength and direction of the linear relationship: r close to +1 indicates a strong positive linear correlation; r close to -1 indicates a strong negative linear correlation; r ≈ 0 indicates no linear correlation.

In Matric Mathematics (Quadratic Number Patterns), how do you find the coefficients a, b, and c in the general term T_n = an² + bn + c from the first differences and constant second difference?

1. Set 2a = constant second difference, 2. Set 3a + b = first term of the first differences (T_2 - T_1), and 3. Set a + b + c = first term of the sequence (T_1).

In Matric Business Studies (Macro-Environment & Strategic Management), list the components of PESTLE Analysis, Porter's Five Forces Model, and Intensive vs. Defensive vs. Diversification Strategies.

PESTLE: Political, Economic, Social, Technological, Legal, Environmental. Porter's Five Forces: Power of Buyers, Power of Suppliers, Threat of New Entrants, Threat of Substitutes, Competitive Rivalry. Intensive strategies: Market Penetration, Market Development, Product Development. Diversification: Concentric, Horizontal, Conglomerate. Defensive strategies: Retrenchment, Divestiture, Liquidation.

In Matric Business Studies (Total Quality Management - TQM & Quality of Performance), what are the PDCA Cycle steps and the 8 Business Functions?

PDCA (Deming) Cycle for continuous improvement: Plan -> Do -> Check/Analyse -> Act as needed. The 8 Business Functions are: General Management, Purchasing, Production, Marketing, Public Relations, Human Resources, Administration, and Financial Function.

In Matric Mathematics (Sequences & Series), what is the condition for an Infinite Geometric Series to converge, and what is the formula for its Sum to Infinity (S_∞)?

An infinite geometric series converges if and only if -1 < r < 1 (where r ≠ 0 is the common ratio). Its sum to infinity is S_∞ = a / (1 - r).

In Matric Business Studies (Insurance & Investment), distinguish between Compulsory Insurance (UIF, RAF, COIDA) and Non-Compulsory Insurance, and define Insurable Interest, Indemnity, Average Clause, and Subrogation.

Compulsory by SA law: UIF (Unemployment Insurance Fund: 1% employer + 1% employee), RAF (Road Accident Fund, funded via fuel levy), and COIDA. Non-compulsory principles: Indemnity (insured is restored to same financial position as before loss, no profit); Average Clause (applied when an asset is UNDER-INSURED: Payout = [Insured Amount ÷ Market Value] × Loss); Excess (first portion of claim paid by insured); Subrogation (insurer steps into insured's shoes to recover from third party after paying out).

In Matric Accounting (Inventory Valuation & Cost Accounting), compare FIFO, Weighted Average, and Specific Identification, and state the Production Cost Statement formula.

FIFO assumes the oldest stock bought is sold first (closing stock is valued at the most recent purchase prices, yielding higher gross profit during inflation); Weighted Average divides total cost of available goods by total units; Specific Identification tracks high-value unique items (e.g., motor vehicles). In Cost Accounting: Direct Material Cost + Direct Labour Cost = Prime Cost; Prime Cost + Factory Overhead Cost + Work-in-Process (opening - closing) = Total Cost of Production of Finished Goods.

In Matric Mathematics Paper 2 (Trigonometry), list the Compound Angle and Double Angle Identities provided on theNSC formula sheet.

Compound angles: cos(α - β) = cos α cos β + sin α sin β; cos(α + β) = cos α cos β - sin α sin β; sin(α + β) = sin α cos β + cos α sin β; sin(α - β) = sin α cos β - cos α sin β. Double angles: sin 2α = 2 sin α cos α; cos 2α = cos²α - sin²α = 2cos²α - 1 = 1 - 2sin²α.

In Matric Accounting (Audit Reports), distinguish between an Unqualified, a Qualified, and a Disclaimer/Adverse Audit Report under the Companies Act 71 of 2008.

Unqualified ('Clean' report): the independent auditor is satisfied that the financial statements fairly present the financial position and comply with IFRS and the Companies Act. Qualified ('Except for'): fair presentation EXCEPT for a specific material item that could not be verified or was misstated. Disclaimer/Adverse: the auditorwithholds an opinion due to lack of evidence or states that the financial statements are materially misstated and cannot be relied upon.

South Africa NSC Matric Mathematics, Accounting & Business Studies: Calculus, Analytical Geometry, Trigonometry, Companies Act 71 of 2008, BCEA, LRA & BBBEE

Covers South Africa CAPS Grade 12 NSC Matric Mathematics (Paper 1 & 2: Sequences/Series, Finance Annuities, Functions, Differential Calculus, Analytical Geometry, Trigonometry, Euclidean Geometry), Accounting (Companies Act 71 of 2008, Cash Flow, Ratios), and Business Studies (LRA, BCEA, EEA, BBBEE,NCA, CPA).

Level: intermediate
Languages: en → en
Cards: 32
Markdown: South Africa NSC Matric Mathematics, Accounting & Business Studies: Calculus, Analytical Geometry, Trigonometry, Companies Act 71 of 2008, BCEA, LRA & BBBEE (.md)

Flashcards (32)

#	Front (Term / Question)	Back (Definition / Answer)
1	In Matric Mathematics Paper 2 (2D & 3D Trigonometry), when do you apply the Sine Rule, the Cosine Rule, and the Area Rule in a non-right-angled triangle ABC?	Sine Rule (a / sin A = b / sin B = c / sin C): used when given 2 angles and 1 side (AAS/ASA) or 2 sides and a non-included angle (SSA). Cosine Rule (a² = b² + c² - 2bc cos A): used when given 2 sides and the included angle (SAS) or all 3 sides (SSS). Area Rule: Area of ΔABC = ½ ab sin C.
2	In Matric Accounting (Cash Flow Statement), what are the three main sections of the Cash Flow Statement, and how are Depreciation, Interest Paid, Taxation Paid, and Dividends Paid treated?	Three sections: 1. Cash flows from Operating Activities, 2. Cash flows from Investing Activities (purchase/disposal of fixed assets & financial assets), and 3. Cash flows from Financing Activities (proceeds from share issue, share buy-backs, change in long-term loans). Depreciation is a non-cash item added back to Net Profit before tax to find cash generated from operations; Interest Paid, Taxation Paid (Amount owing at start + Income statement tax - Amount owing at end), and Dividends Paid (Shareholders for dividends at start + Interim + Final - Shareholders for dividends at end) are subtracted under Operating Activities.
3	In Matric Accounting (Financial Indicators / Ratios), state the formulas and benchmarks for the Current Ratio, Acid-Test Ratio, Debt-Equity (Gearing) Ratio, and Return on Total Capital Employed (ROTCE).	Current Ratio = Current Assets : Current Liabilities. Acid-Test Ratio = (Current Assets - Inventories) : Current Liabilities (tests immediate liquidity without relying on selling stock). Debt-Equity Ratio = Non-Current Liabilities : Shareholders' Equity (below 0.5:1 is low gearing/low financial risk; above 1:1 is high gearing). ROTCE = [(Net Profit before tax + Interest on loans) / Average Capital Employed] × 100%—compare ROTCE against the interest rate on loans to determine whether gearing is positive (ROTCE > interest rate) or negative.
4	In NSC Matric Accounting, under the South African Companies Act 71 of 2008, how are Ordinary Share Capital and Share Buy-Backs (Repurchases) accounted for when a company buys back shares above the average issue price?	South African companies issue no-par-value shares recorded in a single Ordinary Share Capital account. When a company repurchases shares, Ordinary Share Capital is debited at the AVERAGE ISSUE PRICE per share (Total Ordinary Share Capital ÷ Total issued shares before buy-back), and any amount paid ABOVE the average issue price is debited to the Retained Income account.
5	In Matric Mathematics (Probability & Counting Principle), how many 7-letter arrangements can be made from the letters of 'PRETORIA', and what is the rule for Independent vs. Mutually Exclusive events?	'PRETORIA' has 8 letters with the letter 'R' repeated twice (so 8! / 2! = 20,160 total 8-letter arrangements). For two events A and B: Mutually Exclusive (cannot happen at the same time): P(A and B) = 0, so P(A or B) = P(A) + P(B). Independent (occurrence of one does not affect the other): P(A and B) = P(A) × P(B).
6	In Matric Business Studies (Labour Relations Act, LRA 66 of 1995), what is the purpose of the LRA, what are Workplace Forums, and what is the dispute resolution process through the CCMA?	The LRA promotes collective bargaining, workplace democracy, peaceful labour dispute resolution, and the right to strike/lockout. The CCMA (Commission for Conciliation, Mediation and Arbitration) resolves unfair dismissal and unfair labour practice disputes via Conciliation first, and if unresolved, binding Arbitration (Con-Arb). Workplace Forums may be established in businesses with more than 100 employees to consult and promote joint decision-making.
7	In Matric Business Studies (Basic Conditions of Employment Act, BCEA 75 of 1997), state the statutory provisions for Ordinary Working Hours, Overtime, Meal Intervals, and Leave (Annual, Sick, Maternity, Parental/Family Responsibility).	Ordinary hours: max 45 hours/week (9 hrs/day for 5-day week; 8 hrs/day for >5-day week). Overtime: max 10 hours/week, paid at 1.5× normal wage (2× on Sundays/public holidays). Meal interval: 60 minutes after 5 hours of continuous work (can be reduced to 30 min by written agreement). Annual leave: 21 consecutive days paid per year (or 1 day per 17 days worked). Sick leave: 30 days (5-day week) or 36 days (6-day week) over a 36-month cycle. Maternity leave: 4 consecutive months unpaid (claimable from UIF). Parental leave: 10 consecutive days. Family responsibility leave: 3 days paid per year.
8	In Matric Mathematics (Cubic Functions f(x) = ax³ + bx² + cx + d), how do you find the Stationary (Turning) Points, the Point of Inflection, and the Concavity?	Stationary points occur where the first derivative equals zero: f'(x) = 3ax² + 2bx + c = 0. The Point of Inflection (where concavity changes from concave up to concave down or vice versa, and also the midpoint between the two turning points' x-coordinates) occurs where the second derivative equals zero: f''(x) = 6ax + 2b = 0 => x = -b / (3a).
9	In Matric Business Studies (National Credit Act, NCA 34 of 2005 vs. Consumer Protection Act, CPA 68 of 2008), how do the two Acts protect South African consumers?	NCA 34 of 2005 regulates credit providers, prevents reckless lending (requiring affordability assessments before granting credit), caps interest/initiation fees, establishes the National Credit Regulator (NCR), and allows over-indebted consumers to apply for Debt Counselling. CPA 68 of 2008 promotes fair marketing and grants 8 fundamental Consumer Rights (Right to Choose, Right to Privacy, Right to Fair Value/Good Quality/Safety, 5-day cooling-off period for direct marketing, and the 6-month implied warranty to repair, replace, or refund defective goods).
10	In Matric Business Studies (Employment Equity Act, EEA 55 of 1998), what is the purpose of Affirmative Action, and which designated groups does it benefit?	The EEA eliminates unfair discrimination in the workplace and achieves equity through Affirmative Action measures to ensure equitable representation across all occupational levels for DESIGNATED GROUPS: Black people (Africans, Coloureds, and Indians/Chinese who are SA citizens), Women of all races, and People with Disabilities.
11	In Matric Business Studies (Corporate Governance - King Code), what are the core principles of the King Code on Corporate Governance ('Three P's' / Triple Bottom Line)?	Transparency, Accountability, and Responsibility/Ethical leadership, reporting on the Triple Bottom Line: Profit (Economic), People (Social), and Planet (Environmental) sustainability.
12	In Matric Business Studies (Investment Options), compare RSA Retail Savings Bonds, Unit Trusts, Shares (Ordinary vs. Preference), and Fixed Deposits.	RSA Retail Savings Bonds: low-risk government-backed investment starting from R1,000 with fixed or inflation-linked interest, no commission/fees. Unit Trusts: pooled funds from many investors managed by a fund manager across a diversified portfolio (medium risk). Ordinary Shares: voting rights, variable dividends declared after preference dividends (high risk/high return). Preference Shares: fixed dividend percentage paid before ordinary shareholders, priority claim on liquidation, usually no voting rights.
13	In Matric Mathematics (Functions & Inverses), how do you find the inverse of the exponential function y = b^x (b > 0, b ≠ 1), and how do you restrict the domain of a parabola f(x) = ax² so that its inverse f⁻¹ is also a function?	Swapping x and y in y = b^x gives x = b^y, which in logarithmic form is f⁻¹(x) = log_b(x) (domain x > 0, reflected across the line y = x). For a parabola f(x) = ax², restrict the domain to EITHER x ≥ 0 OR x ≤ 0 so that f becomes one-to-one and its inverse f⁻¹(x) = ±√(x/a) is a function.
14	In Matric Accounting (VAT - Value Added Tax in South Africa), what is the standard VAT rate in South Africa, and how do you calculate the VAT amount from a VAT-inclusive figure?	The standard VAT rate in South Africa is 15% (while basic foodstuffs like brown bread, maize meal, samp, milk, eggs, pilchards, fruit/vegetables, and illuminating paraffin are zero-rated at 0%). To extract VAT from a VAT-inclusive amount (115%): multiply by 15 / 115. Net VAT payable to SARS = Output VAT (collected on sales) minus Input VAT (paid on purchases).
15	In Matric Mathematics (Financial Maths), distinguish between the Future Value Annuity formula (F) and the Present Value Annuity formula (P), and explain how to calculate the Balance Outstanding on a loan after k payments.	Future Value (sinking funds/retirement savings): F = x[(1 + i)^n - 1] / i. Present Value (home loans/mortgages with payments starting one period after loan is granted): P = x[1 - (1 + i)^(-n)] / i. Balance Outstanding after k payments equals EITHER the Present Value of the remaining (n - k) payments OR the accumulated loan amount P(1 + i)^k minus the Future Value of the first k payments made.
16	In Matric Business Studies (Human Resources Function), distinguish between Recruitment (Internal vs. External), Selection, Induction, and Placement, and between Piecemeal and Time-Related salary determination.	Recruitment: attracting a pool of suitable applicants for a job vacancy (Internal from existing staff vs. External from outside); Selection: screening, shortlisting, interviewing, and choosing the best candidate; Placement: putting the selected candidate in the specific job matching their skills; Induction: orientating the new employee to the workplace culture/policies. Piecemeal pays workers per unit produced regardless of hours worked; Time-related pays workers for the number of hours/days worked.
17	In Matric Mathematics (Differential Calculus), write the formula for Differentiation from First Principles and find the derivative of f(x) = x² from first principles.	f'(x) = lim_(h→0) [f(x + h) - f(x)] / h. For f(x) = x²: f'(x) = lim_(h→0) [(x + h)² - x²] / h = lim_(h→0) [x² + 2xh + h² - x²] / h = lim_(h→0) h(2x + h) / h = lim_(h→0) (2x + h) = 2x (keep writing 'lim_(h→0)' on every line until you substitute h = 0 to avoid losing notation marks).
18	In NSC Matric Mathematics, how are topics split between Paper 1 (150 marks) and Paper 2 (150 marks)?	Paper 1 (Algebra & Calculus, 150 marks): Algebra, Equations & Inequalities, Number Patterns/Sequences & Series (±25), Functions & Graphs (±35), Finance, Growth & Decay (±15), Differential Calculus (±35), and Counting Principle/Probability (±15). Paper 2 (Geometry, Trig & Stats, 150 marks): Statistics & Regression (±20), Analytical Geometry (±40), Trigonometry (±50), and Euclidean Geometry (±40).
19	In Matric Mathematics Paper 2 (Analytical Geometry), how do you find the inclination angle θ of a line with gradient m, and the equation of the tangent to a circle (x - a)² + (y - b)² = r² at point P(x_1, y_1)?	Inclination angle: tan θ = m (if m ≥ 0, θ = arctan(m); if m < 0, θ = 180° + arctan(m)). For a tangent to a circle at P(x_1, y_1): by the Euclidean theorem 'radius ⊥ tangent at point of contact', calculate the gradient of the radius m_rad = (y_1 - b)/(x_1 - a), then use m_tan = -1 / m_rad in y - y_1 = m_tan(x - x_1).
20	In Matric Business Studies (COIDA), what is the purpose of the Compensation for Occupational Injuries and Diseases Act (COIDA 61 of 1997)?	COIDA provides statutory no-fault financial compensation for employees (or their dependants) who are injured, disabled, contract an occupational disease, or die in the course and scope of their workplace duties. Employers contribute monthly/annually to the Compensation Fund and are protected from civil damage claims by employees.
21	In Matric Business Studies (Broad-Based Black Economic Empowerment, BBBEE Act 53 of 2003 as amended), what are the 5 Revised BBBEE Scorecard Pillars?	Since the Revised Codes of Good Practice (reduced from 7 to 5 pillars): 1. Ownership, 2. Management Control (merged Management Control & Employment Equity), 3. Skills Development, 4. Enterprise and Supplier Development (ESD—merged Preferential Procurement & Enterprise Development, carrying the highest weight), and 5. Socio-Economic Development (SED).
22	In NSC Matric Business Studies (Legislation - Skills Development Act, SDA 97 of 1998), what are the roles of SETAs and how is the Skills Development Levy (SDL) funded?	SETAs (Sector Education and Training Authorities) develop sector skills plans, register learnerships, and approve workplace skills plans. Employers whose annual payroll exceeds R500,000 must pay a 1% Skills Development Levy (SDL) monthly to SARS, of which 80% is distributed to SETAs (for mandatory/discretionary grants) and 20% to the National Skills Fund (NSF).
23	In Matric Mathematics Paper 2 (Euclidean Geometry), state the Proportionality Theorem (Line Parallel to One Side of a Triangle) and the Tan-Chord Theorem with their exact acceptable DBE reasons.	Proportionality Theorem: A line drawn parallel to one side of a triangle divides the other two sides proportionally [Reason: 'line \|\| one side of Δ' or 'prop theorem; DE \|\| BC']. Tan-Chord Theorem: The angle between the tangent to a circle and a chord drawn from the point of contact is equal to the angle in the alternate segment [Reason: 'tan chord theorem'].
24	In Matric Mathematics Paper 2 (Statistics & Regression), what does the Least Squares Regression Line ŷ = a + bx represent, and how do you interpret the Pearson Correlation Coefficient (r)?	In ŷ = a + bx, 'a' is the y-intercept and 'b' is the gradient (rate of change), and the regression line ALWAYS passes through the mean point (x̄, ȳ). The correlation coefficient r (-1 ≤ r ≤ 1) measures the strength and direction of the linear relationship: r close to +1 indicates a strong positive linear correlation; r close to -1 indicates a strong negative linear correlation; r ≈ 0 indicates no linear correlation.
25	In Matric Mathematics (Quadratic Number Patterns), how do you find the coefficients a, b, and c in the general term T_n = an² + bn + c from the first differences and constant second difference?	1. Set 2a = constant second difference, 2. Set 3a + b = first term of the first differences (T_2 - T_1), and 3. Set a + b + c = first term of the sequence (T_1).
26	In Matric Business Studies (Macro-Environment & Strategic Management), list the components of PESTLE Analysis, Porter's Five Forces Model, and Intensive vs. Defensive vs. Diversification Strategies.	PESTLE: Political, Economic, Social, Technological, Legal, Environmental. Porter's Five Forces: Power of Buyers, Power of Suppliers, Threat of New Entrants, Threat of Substitutes, Competitive Rivalry. Intensive strategies: Market Penetration, Market Development, Product Development. Diversification: Concentric, Horizontal, Conglomerate. Defensive strategies: Retrenchment, Divestiture, Liquidation.
27	In Matric Business Studies (Total Quality Management - TQM & Quality of Performance), what are the PDCA Cycle steps and the 8 Business Functions?	PDCA (Deming) Cycle for continuous improvement: Plan -> Do -> Check/Analyse -> Act as needed. The 8 Business Functions are: General Management, Purchasing, Production, Marketing, Public Relations, Human Resources, Administration, and Financial Function.
28	In Matric Mathematics (Sequences & Series), what is the condition for an Infinite Geometric Series to converge, and what is the formula for its Sum to Infinity (S_∞)?	An infinite geometric series converges if and only if -1 < r < 1 (where r ≠ 0 is the common ratio). Its sum to infinity is S_∞ = a / (1 - r).
29	In Matric Business Studies (Insurance & Investment), distinguish between Compulsory Insurance (UIF, RAF, COIDA) and Non-Compulsory Insurance, and define Insurable Interest, Indemnity, Average Clause, and Subrogation.	Compulsory by SA law: UIF (Unemployment Insurance Fund: 1% employer + 1% employee), RAF (Road Accident Fund, funded via fuel levy), and COIDA. Non-compulsory principles: Indemnity (insured is restored to same financial position as before loss, no profit); Average Clause (applied when an asset is UNDER-INSURED: Payout = [Insured Amount ÷ Market Value] × Loss); Excess (first portion of claim paid by insured); Subrogation (insurer steps into insured's shoes to recover from third party after paying out).
30	In Matric Accounting (Inventory Valuation & Cost Accounting), compare FIFO, Weighted Average, and Specific Identification, and state the Production Cost Statement formula.	FIFO assumes the oldest stock bought is sold first (closing stock is valued at the most recent purchase prices, yielding higher gross profit during inflation); Weighted Average divides total cost of available goods by total units; Specific Identification tracks high-value unique items (e.g., motor vehicles). In Cost Accounting: Direct Material Cost + Direct Labour Cost = Prime Cost; Prime Cost + Factory Overhead Cost + Work-in-Process (opening - closing) = Total Cost of Production of Finished Goods.
31	In Matric Mathematics Paper 2 (Trigonometry), list the Compound Angle and Double Angle Identities provided on theNSC formula sheet.	Compound angles: cos(α - β) = cos α cos β + sin α sin β; cos(α + β) = cos α cos β - sin α sin β; sin(α + β) = sin α cos β + cos α sin β; sin(α - β) = sin α cos β - cos α sin β. Double angles: sin 2α = 2 sin α cos α; cos 2α = cos²α - sin²α = 2cos²α - 1 = 1 - 2sin²α.
32	In Matric Accounting (Audit Reports), distinguish between an Unqualified, a Qualified, and a Disclaimer/Adverse Audit Report under the Companies Act 71 of 2008.	Unqualified ('Clean' report): the independent auditor is satisfied that the financial statements fairly present the financial position and comply with IFRS and the Companies Act. Qualified ('Except for'): fair presentation EXCEPT for a specific material item that could not be verified or was misstated. Disclaimer/Adverse: the auditorwithholds an opinion due to lack of evidence or states that the financial statements are materially misstated and cannot be relied upon.