Use these notes to understand a method before testing yourself. Read an example, try it without looking, then explain the steps in your own words.
Written by QuizChallenge SA · Updated 29 September 2026 · 121 questions available for this grade
Quadratics and trigonometric ratios
A quadratic may have more than one solution. For x² − 4x = 0, factor to x(x − 4) = 0. Either factor can equal zero, so x = 0 or x = 4. Dividing by x would lose the zero solution. In a right triangle, identify the sides relative to the chosen angle before using sine, cosine or tangent.
Worked example or application
If opposite = 3 and hypotenuse = 5, sin θ = 3/5. For the line y = −2x + 6, set y = 0 to find the x-intercept: x = 3.
Common mistake: Do not cancel a variable without checking whether it could be zero.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Comparing cost and reading quantities
Practical calculations require interpreting units and context. Compare unit prices by dividing cost by quantity, then check whether the purchase is affordable and needed. Discounts reduce the original price by the calculated amount. Measurements must use consistent units, and an average should suit the information being summarised. Median and mean can produce different values for the same data.
Worked example or application
A 2 kg rice bag at R48 costs R24/kg; a 5 kg bag at R110 costs R22/kg. The larger bag is cheaper per kilogram but costs more upfront. This is a calculation plus a practical decision.
Common mistake: Do not choose an option only because its total price is lower; compare quantities first.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Vectors, motion and particles
A vector has magnitude and direction; a scalar has magnitude only. Distinguish speed from velocity and distance from displacement. Average speed is total distance divided by elapsed time. In matter, atomic number counts protons. Ionic bonding involves electron transfer and electrostatic attraction between ions, while covalent bonding involves shared electron pairs.
Worked example or application
A journey of 100 m in 5 s gives average speed 20 m/s. If the journey returns to its starting point, its total distance may be nonzero while its displacement is zero.
Common mistake: A nonzero speed does not necessarily imply nonzero displacement over the entire journey.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Cells, tissues and biological organisation
Link biological structure to function. Cell membranes regulate movement across the boundary. Ribosomes help synthesise proteins; different specialised cells form tissues. Xylem conducts water and mineral salts through plants, while phloem transports organic food substances. Biological drawings should be clear, labelled and based on observation rather than decorative detail.
Worked example or application
A plant needs transport pathways between roots and leaves. Xylem’s conducting structures support water movement; identifying them correctly is more informative than saying all plant tissues do the same job.
Common mistake: Do not assume that every plant or animal cell has an identical shape or set of specialised structures.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Atmosphere and spatial evidence
The troposphere contains most everyday weather. Compare heating processes over land and water, and explain patterns using more than location names. Map scale and GIS help connect features with spatial information. A map-based answer should state the evidence and the relevant process, while population measures should identify the rate or quantity being compared.
Worked example or application
At scale 1:50 000, 2 cm represents 100 000 cm, or 1 km. Natural increase compares births and deaths; migration is a separate contribution to population change.
Common mistake: Do not combine rates or distances expressed in different units without converting them.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Ideas, power and historical change
Study societies and historical change by comparing institutions, trade, social relationships and ideas. The French Revolution involved challenges to privilege and political authority. The storming of the Bastille was a significant event, but understanding the revolution requires its wider context. Historical sources have origins and purposes that affect how they should be interpreted.
Worked example or application
To evaluate a political pamphlet, ask who produced it, who it aimed to persuade and what conditions it responded to. Compare it with another perspective before using it to explain a whole society.
Common mistake: An event’s symbolic importance is different from explaining all the causes that led to it.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Reading claims and organising an argument
A claim needs relevant support. The word some cannot be turned into all without further evidence. The fact that an improvement happened after an intervention does not by itself prove the intervention caused it. Build an essay around a clear position, develop connected paragraphs, and explain how examples support the argument. Edit for both sentence structure and logic.
Worked example or application
“Some learners improved after extra practice” supports improvement in some learners. It does not prove that every learner improved or establish practice as the sole cause.
Common mistake: Do not treat persuasive adjectives such as “disastrous” or “perfect” as evidence.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Business environments and accounting foundations
Business Studies distinguishes internal micro factors from market relationships and broad macro influences. Economics examines scarcity, production and exchange. Accounting records business transactions using the equation assets = equity + liabilities. An owner’s contribution is capital, while a customer’s payment for a service can be revenue. Personal withdrawals are drawings rather than ordinary operating costs.
Worked example or application
A business with assets of R18 000 and liabilities of R5 000 has equity of R13 000. A competitor opening nearby affects the market environment, not the business’s internal procedures alone.
Common mistake: Keep the purposes of the three commerce subjects distinct. Related concepts do not make their methods interchangeable.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Study planning and responsible information use
Set short milestones that contribute to longer-term goals. Retrieval practice means attempting to recall information before checking it, then correcting errors. A study schedule needs realistic estimates and buffer time. Online information should be checked for source and evidence before it is shared, especially when it makes serious claims about people or opportunities.
Worked example or application
After an assessment, separate concept errors from reading errors. One may need explanation and practice; the other may need a slower reading routine and checking units or instructions.
Common mistake: A study plan should support wellbeing as well as performance. Seek support when pressures become difficult to manage.
Check your understanding: Cover the example and explain its reasoning. Change one detail and consider how the answer would change.
Practise Grade 10
Choose from Accounting, Business Studies, Economics, English, Geography, History, Life Orientation, Life Sciences, Mathematical Literacy, Mathematics, Physical Sciences. Social Sciences is separated into Geography and History practice in Grades 6–9. Your school timetable may include other languages or electives.
Use your teacher’s current term plan and textbook to check what you need to cover. These notes select concepts for practice; they do not replace lessons, practical tasks, essays or examination preparation. Examples with financial rates are hypothetical unless clearly identified otherwise.