Trigonometry mixed checkpoint
Sample trigonometry skills and choose your next review.
What you will learn
- Choose the requirements for your exam tier.
- Explain each method before choosing an answer.
- Follow a missed skill to its teaching lesson.
Check your reasoning across the pathway
Core has 4 questions; Extended has 13. These original mixed questions use different data or contexts from the lesson checks. Changing tier starts a new attempt. Restarting repeats the same fixed questions. The sample does not cover the full range of exam questions.
Sketch the triangle and label opposite, adjacent and hypotenuse relative to the chosen angle. Use degree mode, keep intermediate values unrounded and follow the precision requested. For a line–plane angle, first draw the projection onto the plane. Explain your method on paper before selecting an option, then use the linked lesson for independent or transfer practice. Written solutions are self-checked, not automatically marked exam responses.
Use a missed skill to plan a return
The review plan records first-attempt choices for this session and links the skills you missed to their lessons. Choose one useful review, close the worked answer and solve again from a blank page. Use that lesson's saved review choice to plan a later visit.
This practice check is not saved as an exam grade and does not mark lessons complete. Correct answers to this small sample do not establish mastery. Specialist review is incomplete. A full cumulative assessment remains separate work.
Trigonometry checkpoint
Changing tier starts a fresh attempt. This practice check is not saved as a grade or used to mark lessons complete.
Question 1 of 4 · Core and Extended
A right triangle has hypotenuse 17 cm and one shorter side 8 cm. Find the other shorter side.
Worked example
Which methods are needed for a 3 by 4 by 12 cuboid's diagonal and plane angle?
Show the worked solution
- Find the floor projection with Pythagoras: five.
- Use Pythagoras again for the space diagonal: thirteen.
- Use tan θ = 12/5 for the base-plane angle: 67.4°.
Answer 13 units and 67.4°; two right triangles justify the method.
Common mistakes
- Selecting a remembered option without explaining the method.
- Treating a sampled checkpoint as a full exam or saved grade.
What can you explain now?
What should you do after missing a skill in this check?
Compare with the explanation
Revisit its lesson and solve a fresh written problem without the answer visible.
Use the explanation to repair the method, then test retrieval rather than repeating a memorised answer.
After trying it yourself, choose your next review. This is your self-assessment.
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