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2D Shapes Questions and Answers

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Question 16 - Bancrofts School 11 Plus Maths Sample Entrance Paper 2023

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Question 15 - Bancrofts School 11 Plus Maths Sample Entrance Paper 2023

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Question 14 - Bancrofts School 11 Plus Maths Sample Entrance Paper 2023

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Question 18 - Oundle School Second Form Mathematics 2021

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Question 24 Dulwich College Maths Speciment Paper J

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Properties of 2D Shapes for 11 Plus Exams

1. What are 2D Shapes?

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.

1.1 2D Shapes: Quadrilaterals

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

01 2D Shapes

  • Four right angles
  • Four equal sides
  • Opposite sides are parallel

b) Rectangle

02 2D Shapes

  • Four right angles
  • Opposite sides are of equal length
  • Opposite sides are parallel

c) Parallelogram

03 2D Shapes

  • Opposite sides are of equal length
  • Opposite sides are parallel
  • Diagonally opposite angles are equal

d) Rhombus

04 2D Shapes

  • Four equal sides
  • Opposite sides are parallel
  • Diagonally opposite angles are equal

e) Kite

05 2D Shapes

  • Two pairs of equal sides
  • One pair of opposite angles are equal

f) Trapezium

06 2D Shapes

  • Has exactly one pair of parallel side

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?

07 2D Shapes

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.

2. Polygons

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.

2.1 Regular polygons and examples

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

08 2D Shapes

  • Polygon with three equal sides.
  • Three equal angles

b) Regular Pentagon

09 2D Shapes

  • Polygon with five equal sides
  • Five equal angles

c) Regular Octagon

10 2D Shapes

  • Polygon with eight equal sides
  • Eight equal angles

2.2 Irregular polygons and examples

Polygons with at least one side or angle that is different in size are called irregular polygons.

a) Irregular Hexagon

11 2D Shapes

b) Irregular Pentagon

12 2D Shapes

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.

13 2D Shapes

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.

14 2D Shapes

The distance AB is the diameter of the above circle and AB is twice the radius OA or OB.

3.1 Solved Example

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.

Quiz Questions
50. 2D Shapes
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  • Frequently Asked Questions
    What is a good score in 11+ Maths ?

    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.

    How to prepare for the 11+ Maths exam?

    The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.

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    Maths online subscriptions are “Non-Refundable“. No refunds can be issued for any reason. This is because of the nature of digital products.

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    What kind of questions are asked in the 11 Plus Maths exam?

    The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
    • Algebra.
    • Measurement.
    • Geometry (properties and position of shapes, coordinates)
    • Statistics.

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