

Master right-angled triangle trigonometry with this no-prep worksheet! Covers finding missing sides, calculating acute angles, and multi-step problems. Includes complete step-by-step worked answers. Perfect for GCSE Maths!
Looking for a clear, thorough way for your students to practice solving right-angled triangles? This printable Trigonometric Ratios Worksheet provides focused practice to help your GCSE, Key Stage 3, or Key Stage 4 Maths students master finding missing side lengths and angles using Sine, Cosine, and Tangent (SOH CAH TOA).
This is a no-prep, printable PDF resource, meaning you can just download, print, and hand it straight to your classes! It is ideal for in-class independent practice, homework assignments, revision lessons, or structured cover work.
What’s Included?
• 4 Pages of Structured Student Practice: Clean, easy-to-read layouts with clear triangle diagrams and plenty of workspace for students to write out their calculations.
• 4 Pages of Full, Step-by-Step Solutions: A complete answers guide showing the exact algebraic setups, formulas used, and calculations to make marking quick and effortless, or to allow students to self-assess.
Skills Covered & Curriculum Relevance
• Finding Missing Sides: Practising calculations where the unknown variable is in both the numerator and denominator positions.
• Finding Missing Angles: Utilizing inverse trigonometric functions to find unknown acute angles.
• Problem Solving & Deductions: Advanced tasks requiring students to calculate properties of special isosceles right-angled triangles (45° properties) and identify sides based on constraints like “smallest” or “largest” side lengths.
• Rounding Precision: Clear instructions for students to practice rounding final answers accurately to one decimal place.
• Exam Ready: Perfect for GCSE Maths (9-1) higher and foundation tiers, Scottish National 5, and functional geometry units.
Why Teachers Love It
• Zero Prep Required: Just download, print, and you are ready to teach!
• Easy to Mark: The explicit, step-by-step answers save you valuable time outside the classroom.
• Flexible Use: Great for a main lesson activity, extra practice for struggling students, or a quick assessment.
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.