Free SOHCAHTOA worksheet with worked answers

Free SOHCAHTOA practice for right-angled trigonometry: identify opposite, adjacent and hypotenuse; choose ratios; calculate missing sides; and explain a plausible mistake. One student page plus a full worked-answer page.

Designed for Years 10–11 (ages 14–16) learners who have already met the basic trigonometric ratios. Allow approximately 10–15 minutes. A scientific calculator in degree mode is required. Questions use supplied values; no measuring is needed.

Included: matching colour and printer-friendly PDF and editable Word editions, four files containing the same two-page resource. This is two unique pages, not eight.

Free companion to the paid OpenLatitude Right-Angled Trigonometry teaching pack. Use independently; no purchase required. The paid resource adds a similar-triangle investigation, worked instruction for sides and angles, a tower-height application, classroom reasoning, separate homework and full teacher guidance. The one-page Trigonometry Quick Reference is another separate free companion.

Print on A4 or choose fit-to-page for another paper size. PDF preserves the layout; Word or compatible software is needed to edit the DOCX, and edits may change pagination. Diagrams are embedded images and are not to scale.

© OpenLatitude. Licensed under Creative Commons Attribution–NoDerivatives 4.0 International (CC BY-ND 4.0). Unchanged copies may be shared with attribution, including commercially; the licence does not permit redistribution of adapted versions. Additional permission from OpenLatitude: teachers may adapt copies and share them with their own classes. This additional permission does not permit public sharing or resale of adapted versions. Licence details are included in the downloaded files.