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Maths Quiz - Level 3-4 Shapes - Quadrilaterals (Questions)

Explore quadrilaterals in KS3 maths. Identify squares, rectangles, parallelograms, kites, and trapeziums; compare sides, angles, diagonals, and symmetry to classify shapes and solve perimeter and area problems.

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(quiz starts below)

Fascinating Fact:

Kites and rhombuses are often used in engineering because their crossed diagonals add strength and stability.

In KS3 Maths, you study different quadrilaterals and how to classify them. You will compare parallel sides, angle properties, equal lengths, diagonals, and symmetry, then use these facts to solve problems with perimeter and area.

  • Quadrilateral: Any 2D shape with four straight sides and four angles.
  • Parallelogram: A quadrilateral with two pairs of parallel sides; opposite sides and angles are equal.
  • Kite: A quadrilateral with two pairs of equal adjacent sides; one diagonal often bisects the other at right angles.
What are the main types of quadrilaterals?

Common types include square, rectangle, rhombus, parallelogram, kite, and trapezium. Each has its own side, angle, and symmetry properties used for classification.

How can I tell a rhombus from a square?

Both have four equal sides. A square also has four right angles and equal diagonals; a rhombus does not need right angles and diagonals meet at right angles but are unequal.

What properties define a trapezium in KS3 maths?

A trapezium has at least one pair of parallel sides. You can use the parallel sides to find angles and to calculate perimeter and area where appropriate.

1. Which of these shapes is NOT a quadrilateral?
[ ] Circle
[ ] Rectangle
[ ] Rhombus
[ ] Square
2. How many angles of a square MUST be 90 degrees?
[ ] 2
[ ] 3
[ ] 4
[ ] None
3. How many sides of a trapezium MUST be parallel?
[ ] 2
[ ] 3
[ ] 4
[ ] None
4. What is a true statement about a kite?
[ ] All four sides are equal in length
[ ] Has one pair of parallel sides
[ ] Has two pairs of adjacent sides equal in length
[ ] It has no lines of symmetry
5. Here are four shapes. Which one is NOT a quadrilateral?
[ ] Kite
[ ] Parallelogram
[ ] Trapezium
[ ] Triangle
6. The interior angles of a quadrilateral add up to how many degrees?
[ ] 90
[ ] 180
[ ] 360
[ ] 720
7. A scalene quadrilateral has no sides which are .......
[ ] curved
[ ] parallel
[ ] equal
[ ] smooth
8. Which of the following does a parallelogram NOT have?
[ ] A line of symmetry
[ ] Four angles
[ ] Opposite angles are equal
[ ] Opposite sides which are equal in length
9. What makes an isosceles trapezium different to an 'ordinary' trapezium?
[ ] A line of symmetry
[ ] No rotational symmetry
[ ] Non-parallel lines of equal length
[ ] One pair of parallel lines
10. How does a rhombus differ from a parallelogram?
[ ] All sides are equal in length
[ ] Opposite angles are equal
[ ] Opposite sides are parallel
[ ] Rotational order of symmetry is two

You can find more about this topic by visiting BBC Bitesize - Shapes

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Maths Quiz - Level 3-4 Shapes - Quadrilaterals (Answers)
1. Which of these shapes is NOT a quadrilateral?
[x] Circle
[ ] Rectangle
[ ] Rhombus
[ ] Square
A circle does not have four sides
2. How many angles of a square MUST be 90 degrees?
[ ] 2
[ ] 3
[x] 4
[ ] None
All four sides MUST be equal too
3. How many sides of a trapezium MUST be parallel?
[x] 2
[ ] 3
[ ] 4
[ ] None
The definition of a trapezium is a quadrilateral with at least one pair of parallel sides
4. What is a true statement about a kite?
[ ] All four sides are equal in length
[ ] Has one pair of parallel sides
[x] Has two pairs of adjacent sides equal in length
[ ] It has no lines of symmetry
A kite is a quadrilateral whose four sides can be grouped into two pairs. Each pair is adjacent and of equal-length
5. Here are four shapes. Which one is NOT a quadrilateral?
[ ] Kite
[ ] Parallelogram
[ ] Trapezium
[x] Triangle
A triangle does not have four sides
6. The interior angles of a quadrilateral add up to how many degrees?
[ ] 90
[ ] 180
[x] 360
[ ] 720
By adding a diagonal you can split a quadrilateral into 2 triangles. The sum of the angles in a triangle is 180o, so the sum of two triangles will be 360o
7. A scalene quadrilateral has no sides which are .......
[ ] curved
[ ] parallel
[x] equal
[ ] smooth
Just as a scalene triangle has sides of unequal length, the same is true of a scalene quadrilateral
8. Which of the following does a parallelogram NOT have?
[x] A line of symmetry
[ ] Four angles
[ ] Opposite angles are equal
[ ] Opposite sides which are equal in length
If it did have a line of symmetry then it would be either a rhombus or a rectangle
9. What makes an isosceles trapezium different to an 'ordinary' trapezium?
[x] A line of symmetry
[ ] No rotational symmetry
[ ] Non-parallel lines of equal length
[ ] One pair of parallel lines
Just as an isosceles triangle has two sides of equal length, so too with an isosceles trapezium which makes it symmetrical
10. How does a rhombus differ from a parallelogram?
[x] All sides are equal in length
[ ] Opposite angles are equal
[ ] Opposite sides are parallel
[ ] Rotational order of symmetry is two
A rhombus is like a 'squashed' square or a diamond