Trapezium: Problem Solving & Reasoning
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on problem solving and reasoning related to trapeziums, including properties, calculations, and real-world applications.
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Trapezium: Problem Solving & Reasoning
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.
A trapezium has bases of lengths 8 cm and 5 cm. If the height is 4 cm, calculate its area.
[3 marks]2.
In a trapezium, if the lengths of the two bases are 10 cm and 6 cm, and the height is 5 cm, what is its area?
[3 marks]3.
Construct a trapezium with a longer base of 12 cm, a shorter base of 7 cm, and a height of 5 cm. Calculate its area.
[4 marks]4.
A trapezium has bases AB = 9 cm and DC = 4 cm. The non-parallel sides are equal in length, and the height is 3 cm. If the non-parallel sides are each 5 cm, find the length of the segment joining the midpoints of the non-parallel sides.
[4 marks]5.
Using the properties of a trapezium, explain how to find the length of the median (the segment connecting the midpoints of the non-parallel sides).
[3 marks]6.
A trapezium has bases of 14 cm and 9 cm, and its area is 111 cm^2. Calculate its height.
[3 marks]7.
In a real-world scenario, a trapezium-shaped garden has a longer side of 20 meters and a shorter side of 12 meters. If the garden's area is 192 square meters, find the approximate height of the garden.
[4 marks]8.
A trapezium has bases measuring 18 cm and 10 cm, and the height is 7 cm. Compute its area.
[3 marks]9.
Challenge Question: Two trapeziums have the same height and one has bases of 8 cm and 12 cm, and the other has bases of 10 cm and 14 cm. Which trapezium has the larger area if the height is 6 cm for both?
[4 marks]10.
Identify the common mistake: A student calculates the area of a trapezium as (sum of bases) × height / 2, but mistakenly uses only the longer base in the calculation. Explain why this is incorrect.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet