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Three dimensional sign saying 3-D
Cubes, cylinders and spheres are all 3-D shapes.

Shapes 2 (Very Easy)

This 11 Plus Maths quiz explores simple geometric shapes and how they appear in art, nature, and architecture. Pupils learn to recognise patterns and symmetry around them.

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Fascinating Fact:

Artists use geometry too, the Mona Lisa fits neatly inside a series of rectangles based on the golden ratio.

In 11 Plus Maths, pupils study how lines, angles, and shapes are used to form patterns and designs. Understanding geometry helps with drawing, construction, and logical problem solving.

  • Geometry: The branch of maths that deals with shapes, sizes, and the properties of space.
  • Symmetry: When one half of a shape is a mirror image of the other.
  • Angle: The space between two lines that meet at a point, measured in degrees.
What is geometry in simple terms?

Geometry is the study of shapes and how they fit together. It includes lines, angles, curves, and the way we measure and describe space.

Why do artists use geometry in paintings?

Artists use geometric shapes to balance their work and guide the viewer’s eye. The golden ratio helps make artwork look naturally pleasing.

How does symmetry help in art and design?

Symmetry creates balance and harmony, making artwork and buildings look neat, stable, and visually appealing to the human eye.

1 .
What is another term for a 3-D shape?
A solid
A polygon
A quadrilateral
A vertex
3-D shapes are also known as solids. Solids have volume whilst 2-D shapes are ‘flat’
2 .
How many sides does a quadrilateral have?
Three sides
Four sides
Six sides
Eight sides
Quadrilaterals have four sides (edges) and four corners (vertices). Squares and rectangles are both quadrilaterals
3 .
Which 2-D shape has seven sides which are equal in length and joined at the same angle to each other?
A regular pentagon
A regular hexagon
A regular heptagon
A regular octagon
If the sides weren't all the same length, it would be called an 'irregular' heptagon. Polygons are closed shapes that have three or more straight sides: pentagon (5 sides), hexagon (6 sides), heptagon (7 sides), octagon (8 sides), nonagon (9 sides), decagon (10 sides). Try to remember these if you can
4 .
A parallelogram whose sides are the same length is often called a ‘diamond’. What is another name for a ‘diamond’ shape?
Square
Trapezium
Kite
Rhombus
A rhombus is like a squashed square, and a parallelogram is like a squashed rectangle. Trapeziums have just one set of parallel sides
5 .
How many corners and faces does a cube have?
8 corners and 6 faces
12 corners and 6 faces
6 corners and 8 faces
12 corners and 8 faces
Cubes are like 3-D squares. They have 8 corners (vertices), 6 faces (facets), and 12 edges
6 .
What do we call a line which cuts a circle in half and passes through its centre?
Radius
Diameter
Circumference
Arc
The radius is half the diameter from the centre to the edge. The circumference is the distance around a circle, like the perimeter of other shapes. An arc is a part of the circumference
7 .
What do we call a triangle with one right-angle corner?
A square triangle
A half-square triangle
A right-angled triangle
A perfect triangle
There are lots of different types of triangle besides right-angled: equilateral, isosceles, scalene, acute and obtuse. You don’t need to know about all of these yet – but you will do much better at secondary school if you learn them early
8 .
What do we call a 3-D shape with straight parallel sides and a circular top and bottom?
A sphere
A prism
A pyramid
A cylinder
Cylinders are everywhere: tin cans, rolling pins, pipes, candles, torches, toilet rolls, pencils, straws… the list goes on!
9 .
The internal angles of a triangle always add up to how many degrees?
90o
180o
270o
360o
The internal angles of a quadrilateral always add up to 360o
10 .
Which of the following shapes is not a quadrilateral?
A rectangle
A square
A cube
A rhombus
Cubes are 3-D shapes. Quadrilaterals are 4-sided, 2-D shapes
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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