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3D Shapes Questions and Answers

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Queens’ School - Maths Familiarisation Paper Question 46

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Bancroft’s School - Sample 11+ Maths Paper 2020 Question 29, Geometry, 3D Shapes, Volume, Cubes and Cuboids

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Properties of 3D Shapes for 11 Plus Exams

1. What are 3D Shapes?

3D Shapes or 3-dimensional shapes are different from 2D Shapes. The three dimensions are length, width, and height. 

1.1 Faces, Edges, and Vertices

  • Faces: A face is a flat or curved surface.
  • Edges: Edges are straight lines where two faces meet in the 3D Shape. 
  • Vertices: Vertices are the corners in the 3D shape. Two or more edges meet to make a corner

Let us now take a look at the properties of some of the most common 3D Shapes.

11+ Topicwise 3D Shapes Article Image 01

Difference between pyramids and prisms:

1) A Prism has two identical bases whereas a pyramid has only one base.

2) The sides of a pyramid are triangular in shape joined at a point, whereas the sides of a prism are always rectangular in shape.

2. Plans and Elevations

Plans and elevations are the 2D drawings of the 3D shapes.

Plan: The plan shows how a 3D shape will look when it is seen from the top.

11+ Topicwise 3D Shapes Article Image 02

Elevation: Elevation shows how a 3D shape will look when it is seen from the front or side.

               Elevation depends on which side you are looking from.

11+ Topicwise 3D Shapes Article Image 03

2.1 Solved example

For the shape given below, draw:

11+ Topicwise 3D Shapes Article Image 04

     a) Front elevation

     b) Side elevation

     c) Plan view

Solution:

     a) Front elevation: the view you’d see directly from the front arrow.

11+ Topicwise 3D Shapes Article Image 05

     b) Side Elevation: the view you’d see directly from the side arrow.

11+ Topicwise 3D Shapes Article Image 06

     c) Plan view: the view you’d see directly from the arrow above.

11+ Topicwise 3D Shapes Article Image 07

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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.

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

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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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