

A worksheet on the trigonometric ratios sine, cosine and tangent. Students will find trigonometric ratios of angles in right-angled triangles given all or two of their sides, one of the ratios or one angle and one side of the triangle.
Detailed solutions included.
Are you searching for a ready-to-print geometry resource to solidify your students’ understanding of right-angled trigonometry? This SOH CAH TOA Worksheet packet provides rigorous, exam-style practice for Key Stage 4 (KS4), Year 10, and Year 11 pupils working on core shape and space fluency.
This easy-to-use maths resource strips away visual distractions so pupils can focus completely on mastering the relationship between side lengths and angles. With a deliberate blend of basic ratio identification, multi-step Pythagorean setups, and exact value calculations, it perfectly supports a secondary mastery approach.
What Features are Included?
- Comprehensive Question Progression – 6 multi-part problems challenging pupils to calculate trigonometric numbers for acute angles, solve for missing lengths, and manipulate rationalized numbers.
- Scaffolded Complexity – Tasks naturally progress from simple triple-side triangles to problems requiring the Pythagorean Theorem first, concluding with exact value trigonometric calculations using 30-degree angles.
- Full Solutions Pack – Complete visual answer keys showing the full working out (such as 13^2 = KL^2 + 12^2) and exact simplified surd values (such as 2 times the square root of 3) for quick marking, teacher evaluation, or student self-assessment!
Versatile Classroom Applications:
- Higher and Foundation GCSE revision tasks
- Independent desk work or weekly secondary maths homework
- Small-group intervention sessions or structured revision plenaries
- Extension work for high-attaining Key Stage 3 (KS3) pupils
UK National Curriculum & GCSE Framework Alignment:
- Geometry and Measures (G20): Know the formulae for sine, cosine and tangent of an angle and apply them to find unknown lengths and angles in right-angled triangles.
- Geometry and Measures (G6): Know the exact values of sine and cosine of 30, 45, 60 and 90 degrees; know the exact value of tangent of 30, 45 and 60 degrees.
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.