Classify three numbers as rational or irrational, then factorise fully — a common factor, a trinomial, and one by grouping. Simplify four expressions: expand and collect a squared binomial, divide algebraic fractions, rewrite a power product in prime bases, and reduce a fraction using the sum-of-two-cubes factors.
Exponents: Grade 10 Maths Past Paper Questions
2 past paper questions on exponents from KwaZulu-Natal, 2026. Read what each one asks, then open it with its memo.
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2 exam pages where exponents appears alongside other topics — pages where one question ends and the next begins.
rational and irrational numberscommon factortrinomialsfactorising by groupingalgebraic fractionssum of two cubes
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Solve four equations, including two exponential ones and a fraction equation needing an LCD and a restriction, then write a power sum in the form a·bˣ with prime bases. Solve a compound inequality and give the answer in interval notation, place √38 between two consecutive integers without a calculator, solve a simultaneous-equation word problem about the cost of exercise books and pens, and find x + y given x² + y² = 28 and xy = 4.
exponential equationsprime basesalgebraic fractionsrestrictionscompound inequalitiesinterval notationestimating surdssimultaneous equations
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Equations and inequalities past paper questionsDescriptions last updated 10 August 2026.