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YEAR 10 · PYTHAGORAS AND TRIGONOMETRY

Topic review.

Check the key ideas, then put them together independently.

QUICK RECAP

Connect the ideas

Mark the right angle and identify which side is the hypotenuse before using Pythagoras.

Elevation and depression begin at the horizontal; bearings begin clockwise from north.

Use a shared length to link triangles, and distinguish the final height from a drop or total.

For the sine rule, pair each side with its opposite angle and check the supplementary angle.

Use the cosine rule for SAS or SSS, and the sine area rule only with the included angle.

Use special triangles and the unit circle for exact values and quadrant signs.

For trigonometric graphs, label axes and key points; amplitude is positive and period uses division.

Find every solution in the stated interval, including required endpoints.

Retain exact or full-precision values until the final rounding step; include units and state assumptions.

Practice tests

Complete each paper and show your working.

  1. Pythagoras and Trigonometry — Practice test 1

    16 questions · 50 marks · 60 minutes · Scientific calculator

    A balanced paper moving from right triangles to non-right triangles, exact values, graphs and applications.

  2. Pythagoras and Trigonometry — Practice test 2

    16 questions · 48 marks · 60 minutes · Scientific calculator

    A second balanced paper emphasising interpretation, method selection, bearings and trigonometric representations.

  3. Pythagoras and Trigonometry — Applications test

    16 questions · 58 marks · 60 minutes · Scientific calculator

    A more demanding paper combining surveying, design, shadows, bearings, periodic models and checks on assumptions.

Back to Pythagoras and Trigonometry

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