Maths Quiz - Perimeter and Area 3 (Easy) (Answers)
Welcome to the third of our Easy level Eleven Plus maths quizzes on Perimeter and Area. In the previous quizzes we learned some formulae (that’s the plural of formula) to calculate the area and the perimeter of 2D (2 dimensional) shapes, like circles and squares. In this quiz we go over what we have learned already and give you a recap of those formulae.
The perimeter is the total length of all the sides of a shape. In circles, we call the perimeter the circumference.
The area is the amount of space taken up by a 2D shape. The way it is calculated is different in circles and squares. Can you remember the formulae? If not, don’t worry. The helpful comments which follow each question will explain anything you need to know.
So now it’s time for the quiz. Be sure to read each question thoroughly and to think about your answers. Some of the questions may have appeared in previous quizzes – that’s intentional. The more often you go over a fact, the more likely you are to remember it when your exams come along.
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Learn this fact! It's the radius that is squared, not ? × radius
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A right-angled triangle is half a rectangle, so the formula is the same as that for a rectangle, halved
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If two right angled triangles form a square, then the length of their bases will be equal to the length of the square’s sides.
If the square has an area of 36 cm2, its sides will be 6 cm long: 6 x 6 = 36 |
The area of a square = length x length:
There are 1,000 millimetres in 1 metre, so 1 m2 = 1,000 x 1000 mm2 1,000 x 1,000 = 1 million |
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Do not confuse perimeter and area!
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If a square is made up of 4 right-angled triangles, then just divide the area of the square by four to find the answer:
120 ÷ 4 = 30 |
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Another way to say this is circumference = ? x (radius x 2) because the diameter is twice the radius
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The area of a rectangle = length x width:
8 x 2 = 16 There are 100 mm2 in one cm2 so 16 x 100 = 1,600 |
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1 x 1 = 1, so 1 metre is 1 m2
100 x 100 = 10,000, so 1 metre is 10,000 cm2 1,000 x 1,000 = 1 million, so 1 metre is 1 million mm2 |
The area of a square = length × length:
144 cm2 = length × length. If you know your times tables you will know that 12 x 12 = 144 |