2 Angles, Included Side: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focused on constructing triangles with two given angles and the included side. Designed to develop procedural mastery and problem-solving skills for GCSE Higher students.
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2 Angles, Included Side: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions carefully. Show all working in the grid spaces provided.
1.
Construct a triangle where one angle is 50°, the second angle is 70°, and the included side between these angles is 8 cm. Use the grid to draw and verify the triangle.
[4 marks]2.
Given two angles of 45° and 60°, and the included side measuring 10 cm, construct the triangle. Label all sides and angles clearly.
[4 marks]3.
Construct a triangle with angles of 30° and 80°, and an included side of length 6 cm. Show your construction steps.
[4 marks]4.
Plot the graph of y=2x for x values from 0 to 5. Use the grid to assist your drawing.
[2 marks]5.
Construct a triangle where two angles are 65° and 85°, and the included side is 9 cm. Label the angles and sides accurately.
[4 marks]6.
Construct a triangle with angles of 40° and 75°, and an included side of 7 cm. Use the grid for accuracy and label your construction.
[4 marks]7.
A triangle has two angles measuring 55° and 70°, with the included side of 12 cm. Construct this triangle and determine the third angle.
[3 marks]8.
Identify and correct the mistake in the following construction: a triangle with angles 40° and 60°, and side 8 cm, which does not satisfy the ASA criteria.
[3 marks]9.
Construct a triangle with two angles of 35° and 65°, and an included side of 5 cm. Then, verify the triangle's accuracy using protractor and ruler.
[4 marks]10.
Construct a triangle with angles 20° and 80°, and the included side of 4 cm. Afterwards, explain why the sum of the angles confirms the triangle's validity.
[3 marks]11.
A triangle is constructed with angles 75° and 85°, and side length 10 cm. What is the measure of the third angle? Construct the triangle and justify your answer.
[4 marks]12.
Using the grid, construct a triangle with angles of 25° and 55°, and an included side of 6 cm. Reflect on the key steps involved in your construction.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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- • Add more questions (10 → 15)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet