Year 9 - Trigonometry - Free practice
Year 9 Trigonometry Worksheets & Practice Tests
SOHCAHTOA - find missing sides and angles in right-angled triangles.
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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.
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About this worksheet
Why we built it
Year 9 trig is the first proper introduction to SOHCAHTOA. These worksheets give your student practice on both directions - finding a missing side, finding a missing angle - across enough varied triangles to make the right-ratio choice feel automatic.
What's covered
Sub-skills your student will practise
- ✓Labelling opposite / adjacent / hypotenuse for a given angle
- ✓Choosing the right ratio (sin / cos / tan) for the question
- ✓Finding a missing side length
- ✓Finding a missing angle using inverse trig
- ✓Word problems involving heights, ramps, shadows
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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 trigonometry
What does SOHCAHTOA stand for?
Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent. It's a memory trick for the three trig ratios in a right-angled triangle.
How do students choose which ratio to use?
Look at the two sides involved in the question relative to the given angle. If it's opposite and hypotenuse, use sine. Adjacent and hypotenuse, cosine. Opposite and adjacent, tangent.
How do students find a missing angle (not a side)?
Set up the trig ratio with the known sides, then apply the inverse function (sin^-1, cos^-1, tan^-1). For sin theta = 0.5, theta = sin^-1(0.5) = 30 degrees.
Why does Year 9 trigonometry only cover right-angled triangles?
Because non-right-angle trig needs the sine and cosine rules, which are Year 10A and beyond. The SOHCAHTOA toolkit covers right-angled triangles fully but doesn't extend to other shapes.
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 trigonometry.
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