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Geometry and measures : Post 16 Level 2 : Mathematics Content Knowledge


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Post 16 Level 2
Geometry and measures
Question 1 of 30

1. How confident are you that you can derive and use formulae to calculate the area of parallelograms and trapezia; use formulae for volume and surface area of spheres, pyramids and cones?

a. Problem One


Problem

parallelogram and trapezium

Calculate the areas of these shapes.

Prompt 1.

Shape A is a parallelogram and shape B is a trapezium.

Prompt 2.

parallelogram and trapezium

Area of parallellogram = b × h

Area of trapezium is a + b2 × h

parallelogram and trapezium

Solution

Shape A is a parallelogram. The area is b × h = 10 × 4 = 40cm2

Shape B is a trapezium. The area is 12 (a + b) × h = 12 (2 + 5) × 3 = 3.5 × 3 = 10.5cm2

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