Year 10 - Quadratic equations - Free practice
Year 10 Quadratic Equations Worksheets
Null factor law, factorising, completing the square preview.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
They come sorted by topic, so your child knows the method before they read the question.
That's where Tuterly comes in and closes the gap: unlimited questions, mixed up, under test conditions, including worded problems.
- ✓Unlimited questions on entire topics, mixed difficulty, VCAA aligned
- ✓Printable test, plus a separate answer key for marking
- ✓Any topic, any time, designed to mimic actual test questions
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About this worksheet
Why we built it
Year 10 quadratic equations expand past null factor law into more varied factorising patterns. These worksheets give your student practice on each method so they're not relying on one approach when the test asks something unfamiliar.
What's covered
Sub-skills your student will practise
- ✓Solving by null factor law from factorised form
- ✓Solving by first factorising a monic quadratic
- ✓Solving simple non-monic quadratics
- ✓Completing the square (preview of Methods)
- ✓Word problems leading to a quadratic equation
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Or generate any topic from the full worksheet builder.
From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
Frequently asked
Questions parents ask about quadratic equations
How does Year 10 quadratic solving differ from Year 9?
Year 10 introduces non-monic quadratics (coefficient of x^2 isn't 1), completing the square as a preview of VCE Methods, and the quadratic formula. Year 9 stayed with monic factorising plus null factor law.
What's the quadratic formula?
For ax^2 + bx + c = 0: x = (-b plus or minus sqrt(b^2 - 4ac)) / 2a. It works for every quadratic, even ones that don't factorise nicely. Most teachers introduce it in Year 10A.
What's the discriminant?
The b^2 - 4ac inside the quadratic formula. If it's positive, the quadratic has two real solutions. If zero, one repeated solution. If negative, no real solutions (the parabola never touches the x-axis).
What real-world problems lead to a quadratic equation?
Anything involving area, projectile motion (h = -5t^2 + vt + s), or revenue / profit modelling. Year 10 introduces a few of each so students see why quadratics show up outside textbook abstractions.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 10 quadratic equations.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.