2D and 3D shapes - Mathematicsmathematics.aberdareschool.co.uk/PastPapers/Foundation - Calculator/3. Shape/2D and 3D...4 Examiner only Arholwr yn unig (185-02) 2. (a) Draw lines connecting

Aberdare Community School

Mathematics Department

WJEC GCSE

Foundation – Calculator

Shape

2D and 3D shapes Name: ............................................................. Set: ............................................................. Date: ............................................................. Teacher: .............................................................

4 Examineronly

Arholwryn unig

(185-02)

2. (a) Draw lines connecting each of the following shapes to its correct name. One line has beendrawn for you.

[4]

Rhombus

Isosceles triangle

Kite

Trapezium

Rectangle

Parallelogram

Pentagon

Square

Hexagon

5 Examineronly

Arholwryn unig

(185-02) Turn over.

(b) Using the following list of words, write down the correct name for each of the straightlines drawn on the following diagrams.

[3]

Radius Circumference Arc Diameter Chord Tangent

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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8 Examineronly

Arholwryn unig

6. (a) Name each of the following shapes. [2]

(b) Which two of the following shapes are congruent to each other?

The congruent shapes are . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [1]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

A

E

C

B

D

GF

(185-02)

Gareth

Rectangle

19 Examineronly

185-02 Turn over.

14. A cuboid is labelled P.A tetrahedron is labelled Q.A triangular prism is labelled R.An octagon is labelled S.

Complete the following table.

Property of the shape Label on shape

It has 5 faces, 3 of which are rectangular.

It has 12 edges.

All its faces are triangular.

It is not a 3D shape.

[3]

7 Examineronly

185-02

(b) Draw lines connecting each of the following shapes to its correct name. One line has beendrawn for you.

[3]

Turn over.

pentagon

rectangle

hexagon

kite

square

parallelogram

4 Examineronly

(185-08)

2. Which metric unit is best used to measure

the area of the floor of a classroom, . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the volume of a bucket, . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the distance of a race in athletics, . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the weight of a sack of potatoes? . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[4]

3. (a) A B C

D E F

G H I

Complete the following table.

Diagram

two perpendicular lines

an equilateral triangle

a parallelogram

a hexagon

a rectangle

Letter

I

[4]

Gareth

Rectangle

7 Examineronly

(185-12) Turn over.

(b) Write down the special name of the straight line shown in each diagram below.[3]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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(c) Write down the name of each of the shapes shown below.

[3]

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6 Examineronly

(185-08)

4. (a) Write down the names of each of the following figures.[4]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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4 Examineronly

Arholwryn unig

(185-02)

2. Draw lines connecting each of the following shapes to its correct name. One line has been drawnfor you.

[3]

Rhombus

Isosceles triangle

Kite

Trapezium

Rectangle

Parallelogram

Pentagon

Square

Hexagon

(0185-12) Turn over.

5Examiner

only3. Draw a line connecting each of the following words to the correct shape.

One has been done for you.[4]

Cuboid

Cylinder

Equilateral triangle

Hexagon

Trapezium

01

85

12

05

(185-08)

2. Write down the metric unit that is best used to measure

the weight of a person, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the width of a book, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the distance from Calais to Paris, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

the volume of a kettle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[4]

3. (a) Write down the special name of the straight line shown in each of the following diagrams.[3]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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4Examiner

only

Gareth

Rectangle

(185-08) Turn over.

(c) Draw all the lines of symmetry on the following figure.[2]

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5Examiner

only(b) From the list of names below,

hexagon trapezium cube rhombus cuboid cylinder rectangle

write down the special name of each of the following shapes.[3]

S1

0 0

18

5 0

85

Gareth

Rectangle


7Examiner

only(b) Write down the special name of the straight line shown in each diagram below.

[2]

(c) Write down the name of each of the shapes shown below.[3]

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0185

1200

07

(185-08) Turn over.

(b) (i) On the diagram below, draw a line through the point A that is perpendicular tothe given line.

5Examiner

only

A

(ii) Write down the name of the following shape.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[2]

0185

0800

05

Gareth

Rectangle


5Examiner

only

0185

1200

05

(b) Write down the special name of the straight line shown in each diagram below.[2]

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(c) Write down the name of each of the shapes shown below.[3]

6Examiner

only4. (a) Write down the names of each of the following figures.[4]

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(b) Write down the special name of the straight line shown in each of the followingdiagrams.

[3]

(185-08)

(4361-01)

6Examineronly

(e) The net of a gift box is shown below.What is the name of the 3D shape made from this net?

Name = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[1]

(f) The shape of another gift box is a triangular based pyramid (tetrahedron).Which of the following diagrams shows the top view of this gift box?

A B C D

Diagram = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[1]

Gareth

Rectangle

(0185-12)

6Examiner

only

4. (a) Write down the special name of the straight line shown in each diagram below.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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(b) Write down the name of each of the shapes shown below.

[3]

[2]

6

(4370-04)

Examineronly

4. (a) Write down the special name of each of the following figures.[3]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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© WJEC CBAC Ltd.


4370

0400

07

7 Examineronly

[3]

(b) Write down the special name of the straight line shown in each of the following diagrams.[3]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

© WJEC CBAC Ltd

5

(4364-01)

Examineronly

3. On the following diagrams draw lines to show:

• Adiameterofacircle.

• Achordofacircle.

• Asectorofacircle.

Diameter

Chord

Sector

[3]

4364

0100

05

Turn over.© WJEC CBAC Ltd.


4370

0400

09

9

7. Gareth has tiles which are shaped like isosceles triangles. For each tile, the side of the tile that is not equal to either of the other 2 sides has glue on it. The glued side of each tile is the same length.

(a) Gareth takes two identical isosceles triangular shaped tiles. Gareth sticks the two glued sides together so that the two tiles make a quadrilateral

shape.

What is the special name of the quadrilateral that Gareth has made? Draw a sketch to show this.

Name of quadrilateral .......................................................................................................................................................................................................................................

[2]

(b) Gareth now takes two different isosceles triangular shaped tiles. These tiles are not identical but their glued sides are of the same length. Gareth sticks the two glued sides together so that the two tiles make a quadrilateral

shape.

What is the special name of the quadrilateral that Gareth has made? Draw a sketch to show this.

© WJEC CBAC Ltd.

Name of quadrilateral .......................................................................................................................................................................................................................................

[2]

Examineronly

20

(4361-01)© WJEC CBAC Ltd.

Examineronly

12. Owen works in a DIY warehouse. He is asked to sort some tiles. He has the following shapes of tiles to sort.

Square Kite Rhombus Parallelogram

(a) He is asked to sort the tiles using the table shown below. Complete the table.

[2]

(b) Owen is then asked to sort the tiles differently using the table shown below. Complete the table.

[2]

Tiles with equal diagonals All other tiles

Tiles with opposite sides parallel All other tiles


4364

0100

05

5

© WJEC CBAC Ltd.

3. (a) Using the words given in the following table, choose the name of the shaded part of the circle.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[1]

(b) Using the words given in the following table, choose the name of the straight line in each diagram shown below.

Diameter Segment Sector Arc

Chord Tangent Radius Circumference

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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[2]

Examineronly

Turn over.© WJEC CBAC Ltd. (4370-04)

4370

0400

05

5Examiner

only4. (a) Write down the special name of the straight line shown in each of the following diagrams.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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[2]

4364

0100

05


5

(c) On the following diagrams draw: • a radius of a circle; • a tangent of a circle; • an arc of a circle.

[3]

© WJEC CBAC Ltd.

Radius

Tangent

Arc

Examineronly


4370

0400

07

7Examiner

only5. (a) Write down the special name of the shape shown in each of the following diagrams. [2]

© WJEC CBAC Ltd.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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(b) Write down the special name given to the straight line in the following diagram. [1]

4

(4362-01)

Examineronly

© WJEC CBAC Ltd.

(c) The wheels of Chris’ bike have spokes. Each spoke is in the position of a radius. The name of the manufacturer of the tyres is on the arc of the tyre. Draw a radius and an arc on the circles below. [2]

Radius Arc


4364

0100

05

5Examiner

only

© WJEC CBAC Ltd.

(b) Write down the special name of the straight line shown in each of the following diagrams. [2]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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8

(4370-04)

Examineronly

5. (a) Write down the special name of the straight line shown in each of the following diagrams. [2]

© WJEC CBAC Ltd.

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(b) (i) Measure, in millimetres, the length of the line AB. [1]

Length of AB = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . mm

A

B

C

(ii) Draw the line through C that is perpendicular to AB. [1]


43

64

01

00

07

7Examiner

only (b) Write down the special name of the straight line shown in each of the following

diagrams. [2]

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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6

(4370-04)

Examineronly

4. (a) Write down the special name of the shape shown in each of the following diagrams. [2]

(i)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(ii)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(b) Write down the special name of the straight line shown in each of the following diagrams. [2]

(i)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(ii)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

© WJEC CBAC Ltd.

Documents

2D and 3D shapes - Mathematicsmathematics.aberdareschool.co.uk/PastPapers/Foundation - Calculator/3. Shape/2D and 3D...4 Examiner only Arholwr yn unig (185-02) 2. (a) Draw lines connecting