2D & 3D Shapes (Edexcel GCSE Maths: Foundation)

Exam Questions

1 hour27 questions
1
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3 marks

Here is polygon A B C D E F on a square grid.

A polygon ABCDEF drawn on a square grid

 

(i)

Write down the mathematical name of the polygon.

[1]

 

(ii)

Which side of the polygon is parallel to the side A B?

[1]

 

(iii)

Write down a side of the polygon that is perpendicular to A B.

[1]

 

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2
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4 marks

Here is a 3D shape.

A 3D object with 3 pairs of parallel rectangular faces

 

(i)

Write down the name of this shape.

[1]

(ii)

Write down the number of vertices this shape has.

[1]

(iii)

Write down the number of faces this shape has.

[1]

(iv)

Write down the number of edges this shape has.

[1]

 

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3
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2 marks

The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

Plan view (3 cm x 5 cm rectangle), front elevation (3 cm x 5 cm rectangle) and side elevation (circle of diameter 3 cm) of a solid

Draw a sketch of the solid shape.

Give the dimensions of the solid on your sketch.

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4
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2 marks

Write down the mathematical name for this

i)
quadrilateral,
qp3ai-0580-32-paper-3-nov-2020-cie-igcse-maths
[1]
ii)
solid.
qp3aii-0580-32-paper-3-nov-2020-cie-igcse-maths
[1]

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5a
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1 mark

qp21-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

The diagram shows some quadrilaterals.

Complete the statements.

Quadrilateral ................. is a rhombus.

5b
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1 mark

Quadrilateral A is a ..........................................

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6
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2 marks

The diagram shows the nets of two solids.

Write down, under each net, the mathematical name for the solid.

q14b-058012-mayjune2019-cie-igcse-maths-core

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7
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1 mark

Three quadrilaterals are shown on a 1 cm2 grid.

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Write down the mathematical name of the shaded quadrilateral.

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1
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4 marks

Triangle ACD, where B is a point on AC such that AB = BC = BD and angle DAB = 70 degrees

A B C is a straight line.
The lines A B, B C, and B D are all the same length.
Angle D A B equals 70 degree. 

Work out the size of the angle marked x.

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2
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3 marks

Below are 4 different 3D shapes, labelled A comma space B comma space C comma space D.

Four different 3D solids

 

(i)

Which of these shapes has the greatest number of faces, and how many does it have?

[1]

 

(ii)

Which of these shapes has the least number of edges, and how many does it have?

[1]

 

(iii)

Explain why shape B is not a prism. 

[1]

 

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3
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4 marks

The diagram shows a prism with a cross section in the shape of a trapezium.

A trapezoidal prism

On the centimetre grid below, draw the front elevation and the side elevation of the prism.
Use a scale of 2 cm to 1 m.

cm-grid

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4
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3 marks

Here are the names of 5 quadrilaterals.

Kite Rectangle Rhombus Square Parallelogram

 

Write the name of the correct shape for each of the descriptions below.

 

(i)

All four sides are equal in length.
All four of the angles are identical.

[1]

 

(ii)

There are two pairs of parallel sides.
The angles opposite each other are identical. 
There are no lines of symmetry.

[1]

 

(iii)

All four of the sides have the same length.
None of the angles are 90°.

[1]

 

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5
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1 mark

The grid shows a point E and four quadrilaterals, A comma space B comma space C and D.

qp2-0580-31-paper-3-may-2020-cie-igcse-maths

Write down the mathematical name of shape A.

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6
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3 marks

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The diagram shows a cuboid.

On the 1 cm2 grid, complete the net of the cuboid.
One face has been drawn for you.

qp6a-1-0580-32-paper-3-may-2020-cie-igcse-maths

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7
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1 mark

The diagram shows the net of a triangular prism on a 1cm2 grid.

qp3-0580-31-paper-3-may-2020-cie-igcse-maths

Write down the mathematical name for the type of triangle shown on the grid.

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8a
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1 mark

Complete each statement.

A quadrilateral with only one pair of parallel sides is called a ...............................................

8b
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1 mark

An angle greater than 90° but less than 180° is called ...............................................

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9
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2 marks

On the 1cm2 grid, complete the net of this box.

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10
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1 mark

The diagram shows a net of a solid.

q7-058012-march2019-cie-igcse-maths-core

Write down the mathematical name of the solid.

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11
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1 mark

q23-058012-march2019-cie-igcse-maths-core

The diagram shows a quadrilateral on a 1 cm2 grid.

Write down the mathematical name of this quadrilateral.

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1
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7 marks

A quadrilateral ABED with angle BED = 115 degrees and angle BAC = 50 degrees. Point C lies on AD such that BCDE is a parallelogram

A C D is a straight line.
A B C is a triangle.
B C D E is a parallelogram.

Show that triangle A B C is an isosceles triangle.
Give a reason for each stage of your working.

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2
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5 marks

The diagram shows the kite, A B C D.

Kite ABCD with point where diagonals intersect labelled E. Angle ABE = 50 degrees, angle BCE = x degrees, angle CDE = 73 degrees and angle DAE = y degrees

The lengths B C and C D are equal.

Find the values of x and y.

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3a
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4 marks

A square-based right pyramid has a base with sides of length 4 cm.

The sides of the pyramid are isosceles triangles.

The vertical height of the pyramid is 5 cm.

Sketch the plan, front, and side elevations of the pyramid. 

Label the dimensions on your diagram.

2d-and-3d-shapes-hard-q3

3b
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3 marks

Calculate the surface area of the pyramid.

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4
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3 marks

A cuboid measures 6 cm by 3 cm by 1 cm.

i)
On the 1 cm2 grid, draw an accurate net of this cuboid.
One face has been drawn for you.
qp3di-0580-32-paper-3-nov-2020-cie-igcse-maths
[3]
ii)
Calculate the surface area of the cuboid.
.......................................... cm2 [2]

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5a
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3 marks

A cuboid has length 5 cm, width 4 cm and height 3 cm.

On the 1 cm2 grid, complete the net of the cuboid.
One face has been drawn for you.

qp12a-0580-13-paper-1-nov-2020-cie-igcse-maths

5b
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2 marks

Find the volume of the cuboid.

.......................................... cm3 

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6
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3 marks

The diagram shows the net of a solid on a 1cm2 grid.

qp3b-0580-33-paper-3-may-2020-cie-igcse-maths

i)
Write down the mathematical name for the solid.
[1]
ii)
Work out the volume of the solid.
.......................................... cm3 [2]

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7
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3 marks

A cuboid has length 3 cm, width 2 cm and height 1cm.

On the 1 cm2 grid, draw a net of the cuboid.

qp7-0580-12-paper-1-march-2020-cie-igcse-maths

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8
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3 marks

A cuboid measures 6cm by 3cm by 2 cm.
On this 1cm2 grid, draw a net of the cuboid.

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9
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2 marks

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The diagram shows a net of a cube.

i)
The square labelled B is the base.

Write the letter T in the square that is the top of the cube.

[1]

ii)
On the grid, draw a different net of this cube.
[1]

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