# Grade 12 Mathematics Flashcards

> Spaced-repetition flashcards covering Grade 12 Mathematics topics — definitions, formulas, and exam tips.

- Page: https://www.hlayiso.com/grade-12/mathematics/flashcards
- Flashcard decks: 85
- Topics: 13

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## Flashcards by topic

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### Exponents and Surds

- Equations with Rational Exponents — 15 cards
- Exam-Type Examples — 15 cards
- Exponential Equations — 15 cards
- Exponents — 15 cards
- The Number System — 15 cards
- Working with Irrational Numbers — 15 cards

### Algebraic expressions, equations and inequalities

- Addition and Subtraction — 15 cards
- Algebraic Expressions — 15 cards
- Factorising — 15 cards
- Multiplication and Division — 15 cards
- Notes on Factorising a Trinomial — 15 cards
- Quadratic Equations — 15 cards
- Quadratic Inequalities — 15 cards
- Simultaneous Equations — 15 cards
- The Nature of the Roots — 15 cards

### Number patterns

- Arithmetic and Geometric Series — 15 cards
- Arithmetic Sequences — 15 cards
- Geometric Sequences — 15 cards
- Number Patterns — 15 cards
- Quadratic Sequences — 15 cards

### Functions and graphs

- Function Notation — 15 cards
- Inverse Functions — 15 cards
- The Basic Functions, Formulas and Graphs — 15 cards
- The Logarithmic Function — 15 cards
- What is a Function? — 15 cards

### Trig Functions

- Effect of a: Amplitude — 15 cards
- Effect of b: Period — 15 cards
- Effect of p: Horizontal Shift — 15 cards
- Effect of q: Vertical Shift — 15 cards
- Graphs of Trigonometric Functions — 15 cards

### Finance, growth and decay

- Annuities — 15 cards
- Calculating the Value of P, i and n — 15 cards
- Investments with Time and Interest Rate Changes — 15 cards
- Nominal and Effective Interest Rates — 15 cards
- Revision: Simple and Compound Interest — 15 cards
- Simple and Compound Decay Formulae — 15 cards

### Differential Calculus

- Average Gradient — 15 cards
- Average Rate of Change — 15 cards
- Drawing the Graph of a Cubic Polynomial — 15 cards
- The Derivative of a Function at a Point — 15 cards
- Uses of the Derivative — 15 cards

### Counting principle and probability

- Complementary Events — 15 cards
- Contingency Tables — 15 cards
- Counting Principles — 15 cards
- Events Which Are Not Mutually Exclusive — 15 cards
- Mutually Exclusive Events — 15 cards
- Revision — 15 cards
- Summary of Symbols and Sets Used in Probability — 15 cards
- Theoretical Probability and Relative Frequency — 15 cards
- Tree Diagrams and Contingency Tables — 15 cards
- Use of Counting Principles in Probability — 15 cards
- Venn Diagrams — 15 cards

### Analytical Geometry

- Circles in Analytical Geometry — 15 cards
- Revise: Analytical Geometry — 15 cards
- The Equation of a Line — 15 cards
- The Inclination of a Line — 15 cards

### Trigonometry

- Compound & Double Angle Identities — 15 cards
- Determining x Undefined — 15 cards
- More Solving Trig Equations — 15 cards
- More Trig Identities — 15 cards
- Revise: Trig Ratios — 15 cards
- Solving Triangles with Trig — 15 cards
- Solving Trigonometric Equations — 15 cards
- Special Angles — 15 cards
- Trig Ratios in All Quadrants — 15 cards
- Trigonometric Identities — 15 cards
- Using a Calculator — 15 cards
- Using Reduction Formulae — 15 cards

### Trigonometry: Sine, Cosine and Area Rules

- Right-angled Triangles — 15 cards
- Solving Problems in Two and Three Dimensions — 15 cards
- The Area Rule — 15 cards
- The Cosine Rule — 15 cards
- The Sine Rule — 15 cards

### Euclidean Geometry

- Proportion Theorems — 15 cards
- Revise: Proportion and Area of Triangles — 15 cards
- Similar Polygons — 15 cards

### Statistics

- Bar Graphs and Frequency Tables — 15 cards
- Bivariate Data and the Scatter Plot — 15 cards
- Cumulative Frequency Tables and Graphs (Ogives) — 15 cards
- Five Number Summary and Box and Whisker Plot — 15 cards
- Histograms and Frequency Polygons — 15 cards
- Measures of Central Tendency — 15 cards
- Measures of Dispersion (or Spread) — 15 cards
- The Linear Regression Line — 15 cards
- Variance and Standard Deviation — 15 cards

## Frequently asked questions

### What are Hlayiso flashcards?

Short, spaced-repetition cards covering definitions, formulas, and key facts for Grade 12 Mathematics.

### Are the cards pre-made or do I make them?

Both. Hlayiso ships curated decks per Grade 12 Mathematics topic, and you can create your own decks to share or revise privately.

### How does spaced repetition work?

Cards you get right are shown less often; cards you struggle with come back sooner. Over a few sessions you end up remembering the hard stuff.

### Can I study offline?

The Hlayiso app keeps your active decks on your device, so you can review without a connection.

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