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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2026 · Paper 1 · March · KwaZulu-Natal · Question 1

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.

rational and irrational numberscommon factortrinomialsfactorising by groupingalgebraic fractionssum of two cubes
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2026 · Paper 1 · March · KwaZulu-Natal · Question 2

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 questions

Descriptions last updated 10 August 2026.