½ × b × h: Error Analysis & Misconceptions
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the formula for the area of triangles, ½ × b × h, targeting error analysis and misconceptions. Designed to develop procedural mastery and reasoning skills.
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Full preview • 12 questions
½ × b × h: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a triangle with base 8 cm and height 5 cm using the formula ½ × b × h.
[2 marks]2.
A triangle has a base of 10 meters and an area of 35 square meters. What is its height?
[3 marks]3.
If a triangle's height is doubled from 4 cm to 8 cm, and the base remains 6 cm, what is the new area? Show your working.
[3 marks]4.
A triangle's area is calculated as ½ × 12 × 9. What common mistake might students make when calculating this? Identify and correct the error.
[3 marks]5.
Construct a triangle with a base of 7 cm and a height of 10 cm. Use the grid to draw it accurately.
[3 marks]6.
Plot the graph of y = 2x for x from 0 to 5 on the grid. Then, construct a triangle with base 4 units along the x-axis and height 6 units on y-axis. Calculate its area.
[4 marks]7.
A triangle with base 15 cm and height 8 cm was measured incorrectly, with the height thought to be 10 cm. Explain how this mistake affects the calculated area.
[3 marks]8.
A student calculates the area of a triangle with base 9 cm and height 4 cm as 18 cm². Identify the mistake and provide the correct answer.
[3 marks]9.
Given a triangle with base 12 m and height 7 m, a student says the area is 84 m². Is this correct? Explain your reasoning.
[2 marks]10.
Challenge: Derive the formula for the area of a triangle starting from the area of a rectangle.
[4 marks]11.
Identify and correct the error in calculating the area of a triangle with base 20 cm and height 15 cm, where a student uses 20 × 15 = 300 cm².
[2 marks]12.
A triangle has an area of 24 m². If the base is 8 m, what is its height? Show your working.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet