Pythagoras Application: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying Pythagoras' theorem to find distances between points, designed for GCSE Higher students to develop procedural fluency and problem-solving skills.
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Pythagoras Application: Fluency & Practice
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 distance between the points (3, 4) and (7, 1).
[2 marks]2.
Find the length of the hypotenuse of a right-angled triangle with legs measuring 6 cm and 8 cm.
[2 marks]3.
Plot the points (2, 3) and (6, 7) on the grid and measure the straight-line distance between them.
[2 marks]4.
Construct a right-angled triangle with vertices at (1, 2), (1, 7), and (5, 2). Calculate the length of the hypotenuse.
[3 marks]5.
A drone flies from point A (2, 3) to point B (8, 10). Calculate the straight-line distance traveled.
[3 marks]6.
Using the points (5, 1) and (1, 5), determine the distance between them.
[2 marks]7.
A ladder leans against a wall, reaching a height of 12 meters. The foot of the ladder is 5 meters from the wall. Calculate the length of the ladder.
[2 marks]8.
A rectangular field has its corners at (0,0), (0,20), (30,0), and (30,20). Calculate the diagonal distance across the field.
[2 marks]9.
A car travels from point (4, 5) to point (10, 15). Calculate the straight-line distance traveled.
[3 marks]10.
A square plot of land has a side length of 25 meters. What is the length of the diagonal?
[2 marks]11.
Identify and correct the mistake in this solution: To find the distance between (1,2) and (4,6), they used the formula √(3² + 4²) = 5. Is this correct?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet