Your Free Grade 12
Maths Self-Tutor

CAPS-aligned lessons, dynamic quizzes, and progress tracking — for Mathematical Literacy and Pure Maths. Built for South African learners.

Two Subjects, One Platform

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Mathematical Literacy

Finance, Measurement, Data Handling, Maps & Scales, Patterns, Numbers & Operations

6 topics · 16 lessons Register to start → ∫

Mathematics (Pure Maths)

Algebra, Functions & Graphs, Calculus, Financial Maths, Trigonometry, Geometry, Probability

7 topics · 18 lessons Register to start →

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Every quiz generates new numbers — you learn the method, not memorise answers.

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Easy, Medium, Hard — aligned to CAPS levels. Score 70%+ and level up.

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Lessons with worked examples, formula sheets, exam tips, and past paper practice.

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Maths Lit today

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🎯 Exam Tips & Techniques

Paper Structure

Paper 1 (2½ hours, 150 marks): Finance, Data Handling, Probability

Paper 2 (2½ hours, 150 marks): Measurement, Maps/Plans, Probability

You get a formula sheet in the exam — learn how to use it, don't memorise formulas!

Time Management

You have roughly 1 mark per minute. A 6-mark question should take about 6 minutes.

Don't spend more than the allocated time on one question — move on and come back.

Reading Questions

Underline key words in every question before you start working.

Look for words like "calculate", "determine", "explain", "justify" — each one tells you what to do.

Many marks are lost by not reading the question properly!

Show Your Working

Always write down the formula first, then substitute, then calculate.

Even if you get the wrong answer, you can get method marks for showing your steps.

Example:
A = P(1 + i)ⁿ
A = 5000(1 + 0.08)³
A = 5000(1.259712)
A = R6 298.56

Context-Based Questions

Maths Lit questions are always in real-life contexts — read the scenario carefully.

Tables, graphs, maps, and plans — extract the data you need before calculating.

Check if answers make sense in the real world (e.g., a person can't be 500 years old).

Common Mistakes to Avoid

Not converting units (cm to m, ml to litres)
Forgetting to include units in your answer
Rounding too early — only round the final answer
Misreading scales on graphs and maps
Not using the correct formula from the formula sheet

The Night Before

Don't cram — review your formula sheet and key methods
Get a good night's sleep
Pack your calculator, ruler, pencil, pen, and eraser
Believe in yourself — you've done the work!

📋 Formula Sheet

These formulas are provided in the exam. Practice using them!

Finance

A = P(1 + i × n)

Simple Interest

A = final amount, P = principal, i = interest rate (decimal), n = number of years

A = P(1 + i)ⁿ

Compound Interest

A = final amount, P = principal, i = interest rate (decimal), n = number of years

Hire Purchase Amount = P(1 + i × n) + deposit

Hire Purchase

Uses simple interest on the balance after deposit

Exchange rate: Foreign = ZAR ÷ rate or ZAR = Foreign × rate

Currency Conversion

Measurement

Area of rectangle = length × width

Rectangle

Area of triangle = ½ × base × height

Triangle

Area of circle = π × r²

Circle

Volume of rectangular prism = l × w × h

Box / Rectangular Prism

Volume of cylinder = π × r² × h

Cylinder

Volume of triangular prism = ½ × b × h × H

Triangular Prism

Perimeter = sum of all sides

Perimeter

1 m = 100 cm = 1000 mm
1 km = 1000 m
1 litre = 1000 ml
1 m³ = 1000 litres

Unit Conversions

Data Handling

Mean = sum of values ÷ number of values

Mean (Average)

Median = middle value when arranged in order

Median

Mode = most frequent value

Mode

Range = highest value − lowest value

Range

Probability = number of favourable outcomes ÷ total outcomes

Probability

Maps & Plans

Actual distance = map distance × scale

Scale Calculations

Scale: 1 : 50 means 1 cm on map = 50 cm in real life

Understanding Scale

📝 Past Paper Practice

Work through these exam-style questions topic by topic

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Your Free Grade 12Maths Self-Tutor