Finding Missing: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on finding missing angles at a point, designed for GCSE Higher students to develop procedural skills and reasoning.
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Full preview • 12 questions
Finding Missing: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the missing angle at a point where two angles are 120° and 45°.
[2 marks]2.
Find the value of the unknown angle at a point if the two known angles are 85° and 60°.
[2 marks]3.
Construct a diagram with a point where three angles measure 100°, 45°, and the remaining angle. Calculate the missing angle.
[3 marks]4.
In a diagram, three angles at a point are 130°, 50°, and an unknown angle. Find the unknown.
[2 marks]5.
A straight line is extended, forming an angle of 110° with a adjacent line. Find the angle on the opposite side, assuming angles at a point sum to 360°.
[2 marks]6.
A worker uses a protractor to measure an angle of 70°. If the actual angle is larger by 15°, what is the true angle?
[2 marks]7.
A clock shows an angle of 120° between the hour and minute hands. How many minutes past 3:00 could this occur?
[3 marks]8.
In a polygon, at a certain point, two angles are 110° and 125°. Find the third angle at that point.
[2 marks]9.
Three angles at a point are in the ratio 2:3:4. If the smallest angle is 30°, find all three angles.
[3 marks]10.
Identify the mistake in the following reasoning: 'Since two angles are 80° and 90°, the third angle must be 190° because 80 + 90 + 190 = 360°.' Fix the error.
[3 marks]11.
If a pair of adjacent angles form a linear pair and one is 65°, what is the other?
[2 marks]12.
A diagram shows four angles meeting at a point, with three known angles: 85°, 140°, and 50°. Find the missing fourth angle.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet