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Mathematics questions, unit 7

Shapes

30 marks. Use Practice to check each answer as you go, or Exam to answer everything first. Look carefully at each picture.

Section A: objective questions

14 marks
Choose the correct answer.
1

Question 1

Which shape is a cuboid?
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B
B is a cuboid. A is a cube, C is a pyramid and D is a cylinder.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 78
2

Question 2

How many vertices does a cube have?
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D
A cube has 8 vertices (4 at the front and 4 at the back). 6 is the number of faces and 12 is the number of edges.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 78
3

Question 3

How many edges does a cuboid have?
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A
A cuboid has 12 edges. It has 8 vertices and 6 faces.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 78
4

Question 4

Which shape has 1 flat face, 1 curved face and 1 vertex?
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C
A cone has 1 flat face, 1 curved face and 1 vertex. A cylinder has 2 flat faces.
For the teacher: Understanding, low difficulty, standard 7.1.1
Textbook p. 79
5

Question 5

A tin of milk has 2 flat faces and 1 curved face. What is its shape?
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B
A shape with 2 flat faces and 1 curved face is a cylinder.
For the teacher: Understanding, low difficulty, standard 7.1.1
Textbook p. 79
6

Question 6

What is the name of this shape?
A shape with a square base and four triangle faces meeting at a point
Diagram 1
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D
It has 1 square face and 4 triangle faces that meet at a point. It is a pyramid.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 79
7

Question 7

A dice is a cube. What are the basic shapes of its flat faces?
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C
A cube has 6 flat faces and all of them are squares.
For the teacher: Understanding, low difficulty, standard 7.1.2
Textbook p. 80
8

Question 8

Which basic shapes make a cylinder?
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A
A cylinder has 2 flat faces that are circles and 1 curved face that opens out into a rectangle.
For the teacher: Understanding, medium difficulty, standard 7.1.2
Textbook p. 80
9

Question 9

Diagram 2 shows a net. Which 3-D shape can be made from the net?
A cross made of six squares
Diagram 2
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C
The net has 6 squares of the same size. It folds into a cube.
For the teacher: Applying, medium difficulty, standard 7.1.3
Textbook p. 81
10

Question 10

A shape has 4 corners. All its sides are the same length. What is the shape?
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D
A square has 4 corners and 4 sides of the same length.
For the teacher: Remembering, low difficulty, standard 7.2.1
Textbook p. 84
11

Question 11

How many corners does a triangle have?
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A
A triangle has 3 straight sides and 3 corners.
For the teacher: Remembering, low difficulty, standard 7.2.1
Textbook p. 85
12

Question 12

Which shape has 1 curved side and no corners?
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B
A circle has 1 curved side and no corners.
For the teacher: Understanding, low difficulty, standard 7.2.1
Textbook p. 85
13

Question 13

Aina traces the flat face of a tin of milk on paper. What shape does she get?
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A
The flat faces of a cylinder are circles, so she gets a circle.
For the teacher: Applying, medium difficulty, standard 7.2.2
Textbook p. 86
14

Question 14

Which object has the shape of a cuboid?
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C
A brick is a cuboid. A football is a sphere, a party hat is a cone and a tin is a cylinder.
For the teacher: Applying, medium difficulty, standard 7.1.1
Textbook p. 78

Section B: structured questions

16 marks
Write your answers on the lines.
15

Question 15

Diagram 3 shows a 3-D shape.
A cube
Diagram 3
[1 mark] (a)Name the shape.
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Tick each point you got.
[1 mark] (b)How many flat faces does it have?
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Tick each point you got.
[1 mark] (c)How many vertices does it have?
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Tick each point you got.
[1 mark] (d)How many edges does it have?
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 78
16

Question 16

Diagram 4 shows a pyramid. Its flat faces are basic shapes.
A pyramid
Diagram 4
[1 mark] (a)How many squares are there?
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Tick each point you got.
[1 mark] (b)How many triangles are there?
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 7.1.2
Textbook p. 80
17

Question 17

Diagram 5 shows a net.
A net with one rectangle and two circles
Diagram 5
[1 mark] (a)Name the 3-D shape that the net makes.
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Tick each point you got.
[1 mark] (b)How many circles are there in the net?
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Tick each point you got.
For the teacher: Understanding, medium difficulty, standard 7.1.3
Textbook p. 83
18

Question 18

Dina covers a gift box with paper. The box has 6 flat faces of the same size.
[1 mark] (a)Can the gift box be a pyramid?
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No
A pyramid has only 5 flat faces.
[1 mark] (b)What is the shape of the gift box?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 7.3.1
Textbook p. 88
19

Question 19

Diagram 6 shows four dots on dot paper. Join the dots in the order A, B, C, D and back to A with a ruler.
Dot paper with dots A and B on the top row, 4 spaces apart, and D and C two rows below
Diagram 6
[1 mark] (a)What shape do you get?
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Tick each point you got.
[1 mark] (b)How many corners does the shape have?
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 7.2.2
Textbook p. 87
20

Question 20

Raju says, "A pyramid has 6 flat faces."
[1 mark] (a)Is Raju correct?
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No
A pyramid has 5 flat faces.
[1 mark] (b)How many flat faces does a pyramid have, and what shapes are they?
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Tick each point you got.
For the teacher: Analysing, high difficulty, standard 7.1.1
Textbook p. 79
21

Question 21

Sam says, "A cube and a cuboid are the same shape because both have 6 faces, 8 vertices and 12 edges."
[1 mark] (a)Is Sam correct?
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No
They have the same numbers, but the faces are different.
[1 mark] (b)Explain how a cube is different from a cuboid.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 7.1.1
Textbook p. 78