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High School · learning path

Grade 12 Mathematics Paper 1 revision

Algebra, equations and inequalities, number patterns, sequences and series, functions and inverses, the hyperbola, financial maths, calculus and probability — the Paper 1 topics, one MicroQuest each.

  • 11 steps
  • ≈ 149 minutes in total
  • 1 free
  • Whole path: R190
Start step 1, free

The path, step by step

Take them in order, or jump to what you need. Each step is a complete MicroQuest with its own certificate.

01 14 min Free

Solve Equations and Inequalities with Control

Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.

14 min · beginner · certificate
02 13 min R19

Arithmetic and Quadratic Number Patterns

Tell arithmetic patterns from quadratic ones using differences, build the general term for each, and read sigma notation without panic.

13 min · beginner · certificate
04 13 min R19

Derivatives — First Principles and the Rules

Differentiate from first principles when asked, apply the power rule everywhere else, and know what a derivative actually tells you about a graph.

13 min · beginner · certificate
07 13 min R19

Geometric Sequences and Infinite Series

Work with the common ratio, find any term or sum, and know exactly when an infinite series converges and when it does not.

13 min · beginner · certificate
08 14 min R19

Optimisation and Rates of Change

Turn a word problem into one equation, differentiate it to find the maximum or minimum, and interpret rates of change in real units.

14 min · beginner · certificate
09 14 min R19

Probability — Rules, Venn Diagrams and Counting

Apply the addition rule, tell independent from mutually exclusive, read a Venn or tree diagram, and count arrangements without listing them.

14 min · beginner · certificate
10 13 min R19

Simultaneous Equations and Algebraic Substitution

Solve linear and non-linear systems by substitution, keep your ordered pairs matched, and handle the exponent-law questions that look harder than they are.

13 min · beginner · certificate
11 13 min R19

The Hyperbola and Its Asymptotes

Read a hyperbola from its equation — both asymptotes, the shape, the axes of symmetry and its domain and range — and sketch it with confidence.

13 min · beginner · certificate

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Mathematics P1: questions

How much do the Mathematics P1 MicroQuests cost?
1 of the 11 are free. The others cost R19 each, paid securely online or with learning credits. If you don’t pass the challenge, you try again at no extra cost.
How long does each one take?
Between 13 and 14 minutes. Your progress is saved after every step, so you can stop and carry on later on the same or another device.
Where do I do them?
In your browser at skillsyms.com/learn, in the skillSYMS app, or on WhatsApp — the same MicroQuest, the same progress and the same certificate. There is nothing to install for the browser or WhatsApp.
Do I get a certificate?
Yes. Pass the final challenge and you receive a PDF certificate of completion with a unique number and a QR code anyone can scan to verify it. MicroQuests are informal learning: the certificate is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I buy these for my team or learners?
Yes. Employers, schools and training providers can give MicroQuests or learning credits to their people, who then learn on their own phones. Contact us and we will set it up with you.