2D Shapes are two-dimensional flat shapes that have length and width but no height. Some common 2D shapes are quadrilaterals like squares and rectangles, polygons, and circles.
Quadrilaterals are 2D shapes with four sides and four angles. The Sum of all four angles of quadrilaterals is 360 degrees. For 11 plus exams, you must know the following six types of quadrilaterals and their properties:
a) Square
b) Rectangle
c) Parallelogram
d) Rhombus
e) Kite
f) Trapezium
1.2 Solved Example
Ruby put five shapes into a box. She pulled one out at random. The shape had exactly one pair of parallel sides, no equal sides, and two obtuse angles.
Which of the following shapes did Ruby pull out of the box?
Solution:
Option A has two pairs of parallel sides.
Option B has two pairs of equal sides.
Option C has one pair of parallel sides, no equal sides, and two obtuse angles.
Option D has no parallel sides.
Option E has two pairs of parallel sides.
Option C matches the description of the shape that Ruby chose.
Option C is correct.
The term ‘poly’ means many and ‘gons’ means sides. Polygons are 2D shapes with three or more sides. Polygons with 3 sides are triangles, four sides are quadrilaterals.
Polygons are classified as regular and irregular polygons.
Polygons with all sides and angles of the same measure are called regular polygons. Below are some examples and properties of regular polygons.
a) Equilateral Triangle
b) Regular Pentagon
c) Regular Octagon
Polygons with at least one side or angle that is different in size are called irregular polygons.
a) Irregular Hexagon
b) Irregular Pentagon
3. Circles
A circle is a round 2D shape formed by a curved line. Any point on this line is always the same distance from the centre. This distance is called the radius of the circle. It has no sides and corners.
The distance OA is the radius of the above circle.
Any line passing through the centre of the circle touching the curved line of the circle is called the diameter of the circle. The diameter of the circle is twice its radius.
The distance AB is the diameter of the above circle and AB is twice the radius OA or OB.
Work out the radius of the circle whose diameter is 50 cm.
Solution:
Given the diameter of the circle d =50 cm
Let the radius of the circle be r.
Diameter is twice the radius.
d=2×r
r=d÷2
r=50÷2
r=25 cm
Radius of the circle is 25 cm.
What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.
The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.
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