Mensuration Of 2D Shapes
Overview
Mensuration is the branch of mathematics concerned with measuring lengths, areas and volumes. In two dimensions you need to find perimeters (the distance around a shape) and areas (the space inside a shape) for triangles, rectangles, parallelograms, trapezia, circles, semicircles and compound shapes built from these.
This topic also requires you to convert fluently between metric units for both length and area. Higher-tier students extend circle work to arc lengths and sector areas. These skills appear across both papers and connect directly to 3D mensuration and trigonometry.
Objectives
- Convert measurements within the metric system to include linear and area units
- Find the perimeter of shapes made from triangles and rectangles
- Find the area of simple shapes using the formulae for the areas of triangles and rectangles
- Find the area of parallelograms and trapezia
- Find circumferences and areas of circles using relevant formulae; find perimeters and areas of semicircles
- [Higher] Find perimeters and areas of sectors of circles
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Mensuration Of 2D Shapes. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- The area of a triangle with base 10 cm and height 6 cm is: A) 60 cm^2 B) 30 cm^2 C) 16 cm^2 D) 36 cm^2 Answer: B
- How many cm^2 are in 1 m^2? A) 100 B) 1000 C) 10 000 D) 100 000 Answer: C
- The circumference of a circle with diameter 10 cm is: A) 10pi cm B) 25pi cm C) 100pi cm D) 5pi cm Answer: A
- A trapezium has parallel sides 8 cm and 12 cm with height 5 cm. Its area is: A) 40 cm^2 B) 50 cm^2 C) 60 cm^2 D) 100 cm^2 Answer: B
- The perimeter of a semicircle with diameter 14 cm is closest to: A) 22.0 cm B) 36.0 cm C) 44.0 cm D) 58.0 cm Answer: B
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
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