Welcome to the second of our difficult Eleven Plus maths quizzes on perimeter and area. Like the previous quiz, in this one you will be asked to identify statements about 2D and 3D shapes which are correct. If you’ve played all the previous quizzes, that shouldn’t pose too much of a problem.
So far we’ve looked mainly at 2D shapes but, in this quiz, we’ll be asking about some 3D shapes too, along with some lesser-known 2D ones, like nonagons and heptagons.
As always, make sure that you read each question carefully and understand it before you choose your answer. It’s all too easy to make a mistake – many people have failed their exams because they rushed through them.
Now, if you are ready, it’s time to begin. Remember all that you have learned at school and in our quizzes, and I’m sure you’ll find it a doddle.
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There are 100 mm2 in 1 cm2, the circumference of a circle = 2?r, and the value of ? is 22?7
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The length of the perimeter of a triangle = length of all three sides added together, a rectangle has four corners and the area of a triangle (not a rectangle) = (base × height) ÷ 2
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The length of the perimeter of a hexagon = the length of one of its sides x 6, if you cut a circle into two semicircles their circumference will be half the circle’s circumference + the circle’s diameter, and there are a million mm2 in one m2
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A cylinder has three faces (top, bottom and around), a cone has two faces (bottom and around), and a cube has 6 faces
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Triangles and circles do not have volume – only 3D shapes do. The volume of a cuboid = length x width x height
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The surface area of a cube = length x height x 6 (because it has 6 faces), a cuboid has 6 faces, and 3D shapes have areas (we call these ‘surface areas’)
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A four-sided shape is called a quadrillateral, ? = 3.142 (or 22?7), and the perimeter of a rectangle = (length + width) x 2
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The ‘width’ of a circle is called the diameter, the volume area of a cuboid = length x height x width (not the surface area), and if you double the area of a circle, the radius is decreased fourfold (divided by 4)
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The perimeter of a square = length x 4, the perimeter of a pentagon = length of one side x 5, and the perimeter of a nonagon = length of one side x 9
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Pentagons have five sides, not all polygons are regular and if you double the radius of a circle, the area quadruples
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