Year 9 - Quadratics - Free practice
Year 9 Quadratics Worksheets & Practice Tests
Graphing parabolas, null factor law, solving quadratic equations.
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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 9 is when students meet quadratics properly. These worksheets give your student varied practice across graphing parabolas, using the null factor law, and solving monic quadratics with integer roots - the exact skills VCAA tests at the Year 9 level.
What's covered
Sub-skills your student will practise
- ✓Recognising the standard parabola y = x^2
- ✓Effect of transformations on a parabola (y = ax^2 + c)
- ✓Solving quadratic equations by null factor law
- ✓Reading roots from a graph
- ✓Setting up a quadratic from a worded scenario
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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 quadratics
What's a quadratic function?
A function where the highest power of x is 2 - so y = x^2, y = x^2 + 3x, y = 2x^2 - 5x + 1. Their graphs are always parabolas (U-shaped or upside-down U).
What's the null factor law?
If two things multiply to zero, at least one of them must be zero. So if (x - 3)(x + 5) = 0, then either x - 3 = 0 or x + 5 = 0. This is the main method Year 9 uses to solve quadratics.
How do students sketch a parabola?
Find the y-intercept (set x = 0), the x-intercepts if they exist (set y = 0 and solve), and the vertex (the turning point). Mark those points and draw a smooth curve.
What kind of quadratics does Year 9 solve?
Monic quadratics (where the x^2 coefficient is 1) with integer roots, using null factor law after factorising. Quadratic formula and completing the square arrive in Year 10.
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 9 quadratics.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.