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FoundationMaths revision

Algebra Foundations

Build the symbolic habits that support equations, functions and calculus.

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Focus points
✓Simplify expressions using algebraic structure.
✓Factor and expand accurately.
✓Manipulate powers and rational expressions.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · collecting like terms
Simplify 4a − 3b + 7a + 5b − 6.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · expansion
Expand and simplify (3x − 4)(2x + 5).
Question 3FluencyCore
Original practice · Free Online Revision
Skill · common factor
Factorise 12x²y − 18xy² completely.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · quadratic factorisation
Factorise x² − 11x + 24.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · indices
Simplify (6x³)/(2x), for x ≠ 0.
Question 6ReasoningCore
Original practice · Free Online Revision
Skill · rational expressions
Simplify (x+3)/(x+1) + (x−1)/(x+1).
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · algebraic identities
If a + b = 9 and ab = 14, find a² + b² without finding a and b separately.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · algebraic proof
Prove that the square of any odd integer is odd.