Year 10 - Trigonometry - Free practice
Year 10 Trigonometry Worksheets & Practice Tests
Pythagoras + SOHCAHTOA in applied contexts, including bearings.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 10 trig is the practical version - bearings, angles of elevation and depression, three-dimensional problems. These worksheets give your student real-context problems where they have to draw the triangle first, then choose the right tool.
What's covered
Sub-skills your student will practise
- ✓Choosing between Pythagoras and trig for a given problem
- ✓Angle of elevation and depression
- ✓Bearings (three-figure and compass)
- ✓Combined trig + Pythagoras problems
- ✓3D trig (diagonal of a rectangular prism)
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Frequently asked
Questions parents ask about trigonometry
What does Year 10 add to Year 9 trigonometry?
Bearings (three-figure compass directions), angles of elevation and depression, and 3D problems (diagonals of rectangular prisms). The Year 9 SOHCAHTOA toolkit stays the same; the applied contexts get harder.
What's the difference between bearing and angle?
Bearings are measured clockwise from north and use three figures (045 for 45 degrees east of north, 270 for due west). Standard angles are measured anticlockwise from the positive x-axis. The conversion catches students out.
What's an angle of elevation vs depression?
Angle of elevation: the upward angle from the horizontal to an object above you. Angle of depression: the downward angle to an object below. They're always equal as alternate angles between parallel horizontal lines.
How does Year 10 handle a 3D trig problem?
Find the relevant 2D triangle inside the 3D figure first, often a vertical triangle that includes the height. Solve that with SOHCAHTOA or Pythagoras. The trick is identifying which 2D triangle the question is really asking about.
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