Shapes (Medium)
The quiz focuses on one particular shape - the triangle.

Shapes (Medium)

This 11-plus Maths quiz on shapes is going to be about triangles and their properties: triangles are very, very important in geometry. They say two is company but three is a crowd; unfortunately, you need three sides to make a triangle.

How many 3-sided shapes can you think of? There is only one - the triangle. However, there are many different types of triangles - how many can you remember? This quiz will test you on some of them.

Did you play our first quiz on shapes - and did you attempt to draw a pig using only circles? If you enjoyed that exercise, see if you can draw a cat using only triangles.

But first, it's time to play our quiz - as always, don't move on until you've got all ten questions correct.

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  1. Which one of the following statements is incorrect?
    Only two of its sides are the same, so two of its angles are also the same
  2. Which one of the following statements is incorrect?
    I hope that you didn't get this wrong! The sum of the interior angles of a triangle = 180°
  3. Which one of the following statements is correct?
    Remember this fact - it will help you when you have to use Pythagoras' theorem
  4. Which one of the following statements is correct?
    If the triangle is equilateral, then all the sides are of the same length. This means that all the interior angles will be the same: this can only happen if all the angles are equal to 60°
  5. Which one of the following statements is incorrect?
    All of its sides are different, so all of its angles are also different
  6. Which one of the following statements is correct?
    This is Pythagoras' Theorem
  7. Which one of the following statements is correct?
    An equiangular triangle is a triangle whose interior angles are all the same. The sum of the interior angles of a triangle = 180°, so each interior angle must be 60°, BUT many such triangles exist: although the interior angles may all be the same, you can have different triangles. The side lengths will all be the same for each particular triangle, but a triangle with side lengths of 12 cm is not the same as, say, a triangle with side lengths of 6 cm - even though the interior angles are all 60°
  8. Which one of the following statements is correct?
    All of the angles are less than ninety-degrees
  9. Which one of the following statements is incorrect?
    Try constructing this: you will find that it is impossible to draw the triangle. The longest side of a triangle is always opposite the biggest interior angle
  10. Which one of the following statements is incorrect?
    If it had two interior obtuse angles, it would not be possible to construct such a triangle because an obtuse angle is greater than 90° and less than 180°

Author: Frank Evans

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