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Trigonometry Multi Step Problems WORKSHEET

Suitable for Year groups: Year 9, Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Finding missing angles and side lengths in right angled triangles using trigonometry.
Learning Objective: Apply trigonometric ratios to find angles and lengths in right-angled triangles and, where possible, general triangles in two dimensional figures.

Trigonometry Multi Step Problems WORKSHEET DESCRIPTION

This worksheet explores multi-step trigonometry problems, building students' skills in combining geometric reasoning with trigonometric calculations. Each question is designed to deepen understanding and practical application.

Questions 1 and 2 are classic back-to-back right-angled triangle problems.

Students are required to use exact values in questions 3 and 4.

Question 5 consists of an image constructed from 4 connected right angles triangles.

The challenge increases across questions 6, 7 and 8 as images are of triangles within triangles and push learners to think differently again to problem solve.

The progression throughout the worksheet ensures a seamless development from single-step calculations to multi-step reasoning, preparing students for both examination-style questions and real-world applications.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

This worksheet is designed for Year 9, Year 10, and Year 11 students who are developing their trigonometric problem-solving abilities. It's particularly valuable for those working towards GCSE target grades 4-5, as it bridges the gap between basic trigonometric calculations and more complex multi-step reasoning. The progressive structure makes it adaptable across these year groups depending on students' confidence levels.