½ × b × h: Real-world Applications in Shopping and Money
Mathematics
Year 9
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the area of triangles using ½ × b × h within shopping and money contexts, designed for Year 9 students.
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½ × b × h: Real-world Applications in Shopping and Money
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a triangle with a base of 8 cm and a height of 5 cm.
[2 marks]2.
A triangular banner has a base of 12 meters and a height of 3 meters. What is its area?
[2 marks]3.
Find the area of a triangle with base 9 cm and an area of 36 cm². What is its height?
[3 marks]4.
Calculate the area of a triangle with base 15 m and height 10 m.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed solutions.
1.
A shopping mall is designing a triangular signboard with a base of 6 meters. If the area of the sign is 18 m², what is the height of the sign?
[4 marks]2.
A triangular piece of land has a base of 20 meters. If the height is 12 meters, what is its area? Show your working.
[4 marks]3.
A triangle's area is 45 cm². If the base is 9 cm, what is the height? Explain your steps.
[4 marks]C
Real-world Applications
Solve the following shopping and money-related problems.
1.
A triangular display stand for a sale has a base of 3 meters and a height of 4 meters. Calculate its area, which will be used to determine the space needed in the shop window.
[3 marks]2.
A triangular banner is hung across a store entrance. If the base is 10 meters and the area is 40 m², what is the height of the banner? Show your working.
[3 marks]3.
A triangular piece of fabric is used to create a tablecloth. If the fabric's base is 5 meters and the height is 2 meters, what is the area of the fabric? Why is this important for calculating cost?
[4 marks]D
Challenge & Extension
Attempt these more difficult questions to deepen your understanding.
1.
A triangular plot of land has sides measuring 10 m, 10 m, and 12 m. The base is one of the equal sides. Using Heron's formula, find the area and then verify it using ½ × b × h. Show all steps.
[5 marks]2.
Construct a triangle with a base of 8 cm and a height of 6 cm. Then, find the area and compare it with a triangle with the same base but double the height. Explain the difference.
[4 marks]E
Mixed Review
Solve these questions to review your understanding of the area of triangles.
1.
A triangle has a base of 7 cm and an area of 35 cm². What is its height?
[2 marks]2.
If a triangle's base is increased from 5 m to 10 m while keeping the area constant at 20 m², what is the new height? Show your working.
[3 marks]F
Error Analysis
Review the following common mistakes and explain how to correct them.
1.
A student calculates the area of a triangle with base 6 cm and height 4 cm as 24 cm². Is this correct? If not, identify and correct the mistake.
[2 marks]2.
A student swaps the base and height in the formula, calculating ½ × h × b instead of ½ × b × h. Is this an error? Justify your answer.
[2 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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet