Pythagoras Application: Mixed Review

Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet covering Pythagoras Application for Grade 6 students, including procedural practice, reasoning, real-world scenarios, and extension questions.

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Pythagoras Application: Mixed Review

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
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) using the Pythagoras Theorem.
[2 marks]
2.
Find the length of the hypotenuse when one leg is 6 units and the other leg is 8 units.
[2 marks]
3.
Plot the points (2, 3) and (6, 7) on the grid and draw the line segment between them. How long is the segment?
[2 marks]
4.
Construct a right triangle with legs of 5 units and 12 units. What is the length of the hypotenuse?
[2 marks]
5.
A ladder is placed 4 meters away from a wall and reaches a height of 3 meters on the wall. How long is the ladder?
[2 marks]
6.
In a coordinate plane, points A(1, 2) and B(4, 6) are plotted. Find the distance between A and B.
[2 marks]
7.
A square has a diagonal of 10 units. What is the length of each side?
[2 marks]
8.
A drone flies from point (2, 3) to point (8, 9). What is the straight-line distance traveled?
[2 marks]
9.
Two points are at (5, 1) and (9, 5). Find the distance between them and verify using Pythagoras.
[3 marks]
10.
A rectangle has sides of 8 and 15 units. Draw a diagonal. What is its length? Identify common mistake in calculating the diagonal and correct it.
[3 marks]
11.
Challenge: The distance between two points is 13 units. One point is at (6, 8). What are possible coordinates of the second point? Provide two solutions.
[3 marks]
12.
Error Analysis: A student calculated the distance between (1, 2) and (4, 6) as 3. Identify the mistake and correct the calculation.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet