A double-sided PDF worksheet with questions and answers on Quadratics. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Expand/Factorise (x^2 + bx + c)
Solve (x^2 + bx + c)
Expand/Factorise (ax^2 + bx + c)
Solve (ax^2 + bx + c)
Quadratic Formula
Completing The Square
Skill Questions:
Expand (x + a)(x + b)
Expand (x – a)(x – b)
Expand (x + a)(x – b)
Expand (x – a)^2
Factorise x^2 + bx + c
Factorise x^2 – bx + c
Factorise x^2 ± bx – c
Factorise x^2 – c (Difference of Two Squares)
Solve Basic Quadratic ax^2 = c
Solve Basic Quadratic ax^2 + c = d
Find Roots (Solve) Difference of Two Squares Algebraically x^2 – c
Solve (a = 1) Quadratic Algebraically x^2 + bx + c = 0
Solve (a = 1) Quadratic Algebraically x^2 – bx + c = 0
Solve (a = 1) Quadratic Algebraically x^2 ± bx – c = 0
Expand (cx + a)(dx + b)
Expand (cx – a)(dx – b)
Expand (cx + a)(dx – b)
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx – c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0
Solve ax^2 + bx + c = 0
Solve -ax^2 + bx – c = 0
Solve ax^2 – bx – c = 0
Solve x^2 + bx + c = 0
Solve x^2 – bx + c = 0
Solve x^2 + bx – c = 0
Complete The Square For x^2 + bx + c
Complete The Square For x^2 – bx – c
Complete The Square For ax^2 + bx + c
Complete The Square For ax^2 – bx – c
Solve By Completing The Square For x^2 + bx + c (as surd)
Solve By Completing The Square For ax^2 – bx – c (as surd)
Mastery Questions:
Expression For Area of Rectangle With Quadratic Algebra
Find x From Area Of Square Involving Forming And Solving Quadratic
Find x From Angles In Triangle Involving Forming And Solving Quadratic
Use Difference Of Two Squares To Find Numbered Multiplication
Find Shaded Area Expression Involving Two Expansions
Rearrange And Solve Quadratic
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