Shapes, Plane and Solid - Weebly€¦ · b Complementary angles add up to ___. c Supplementary angles add up to _. d The angle sum of a triangle is equal to ___. e The angle

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Shapes, Plane and Solid

Mathletics Instant

Workbooks

Student Book - Series H-2

Shapes, plane & solidStudent Book - Series H

Contents

Topics

Topic 1 - Lines and angles __/__/__ Date completed

Topic 2 - Triangles, quadrilaterals and polygons __/__/__

Author of The Topics and Topic Tests: AS Kalra

Practice Tests

Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__ Topic 3 - Topic test C __/__/__

Topic 3 - Circles __/__/__ Topic 4 - Properties of angles and parallel lines __/__/__ Topic 5 - Axis of symmetry and point symmetry __/__/__ Topic 6 - Types of triangles __/__/__ Topic 7 - Types of quadrilaterals __/__/__ Topic 8 - Solids __/__/__ Topic 9 - Problem solving and shapes __/__/__

Shapes, plane and solidMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning

Shapes, plane and solid

1Shapes, plane and solid

Mathletics Instant Workbooks – Series H 2 Copyright © 3P Learning

Topic 1 - Lines and angles

15EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION


L i n e s a n d a n g l e sEXCEL YEAR 7 MATHEMATICS

Ch. 2.4, 2.12, 2.13,p. 15, 22–28

QUESTION 3 Draw the following.

a Vertically opposite angles ___________________ b Complementary angles ______________________

c Supplementary angles ______________________ d Alternate angles __________________________

e Corresponding angles ______________________ f Co-interior angles ________________


a A point _________________________________ b A straight line _____________________________

c A ray ___________________________________ d An interval ________________________________

e A curved line _____________________________ f A vertical line _____________________________


a Parallel lines ____________________________ b Perpendicular lines ________________________

c An acute angle ___________________________ d A right angle ______________________________

e An obtuse angle __________________________ f A straight angle ___________________________

g A reflex angle ____________________________ h A revolution ______________________________

CHAPTER 2




Topic 2 - Triangles, quadrilaterals and polygons

16 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION


QUESTION 2 Complete the following table.

QUESTION 1 Two identical shapes have been joined to form a polygon. In each of the following, name thepolygon.

a b c

_________________________ _________________________ _________________________

d e f

_________________________ _________________________ _________________________

QUESTION 3 Divide the following polygons into the shapes written below them.

a b c d

a triangle and 3 triangles a rectangle and 2 trapeziums a trapezium 2 triangles

e f g h

6 triangles 4 triangles 2 triangles and a quadrilateral 2 rhombuses and 2 triangles

T r i a n g l e s , q u a d r i l a t e r a l s a n d p o l y g o n sEXCEL YEAR 7 MATHEMATICS

Ch. 2.6, 2.7, p. 16, 17

sedisforebmuN epahsfoemaN sedisforebmuN epahsfoemaN

a 3 f 8

b 4 g 9

c 5 h 01

d 6 i 11

e 7 j 21




Topic 3 - Circles



C i r c l e sEXCEL YEAR 7 MATHEMATICS

Ch. 2.9, p. 18

QUESTION 1 Name the following parts of the circle.

a b c

_______________________ _______________________ _______________________

d e f

_______________________ _______________________ _______________________

QUESTION 4 Find the fraction of the circle given.

a b c d

_________________ _________________ _________________ _________________

QUESTION 2 Name the following.

a b c

_______________________ _______________________ _______________________

d e f

_______________________ _______________________ _______________________

QUESTION 3 Name the following.

a b c

_______________________ _______________________ _______________________

O

distance along the boun

dary

60°




Topic 4 - Properties of angles and parallel lines



P r o p e r t i e s o f a n g l e s a n d p a r a l l e l l i n e sEXCEL YEAR 7 MATHEMATICS

Ch. 2.12, 2.13, p. 22–28

QUESTION 3 Complete the following statements.

If two parallel lines are intersected by a transversal, ...

a the alternate angles are ______________________________.

b the corresponding angles are ______________________________.

c the co-interior angles are ______________________________.

QUESTION 4 Find the value of the pronumeral in each of the following.

a b c

_______________________ _______________________ _______________________

d e f

_______________________ _______________________ _______________________

QUESTION 1 Complete the following sentences.

a An acute angle is less than ____________________.

b A right angle is equal to ____________________.

c An obtuse angle is greater than ____________________ but less than ____________________.

d A straight angle is equal to ____________________.

e A reflex angle is greater than ____________________ but less than ____________________.

f A revolution is equal to ____________________.


a Vertically opposite angles are ____________________.

b Complementary angles add up to ____________________.

c Supplementary angles add up to ____________________.

d The angle sum of a triangle is equal to ____________________.

e The angle sum of a quadrilateral is equal to ____________________.

60°

x° 130°

y°110°

a°

55° m° 40°

m° 30°x°




Topic 5 - Axis of symmetry and point symmetry



A x i s o f s y m m e t r y a n d p o i n t s y m m e t r yEXCEL YEAR 7 MATHEMATICS

Ch. 2.5, p. 15

QUESTION 3 Draw capital letters of the alphabet that have ...

a more than one axis of symmetry ___________________________________________________________

b no axis of symmetry _____________________________________________________________________

QUESTION 2 Complete the following half-pictures. The dotted line is the axis of symmetry.

a b c

QUESTION 1 How many axes of symmetry do the following shapes have?

a b c d

________________ ________________ ________________ ________________

e f g h

________________ ________________ ________________ ________________

QUESTION 4 Which of the following shapes have point symmetry?

a b c d e

________ ________ ________ ________ ________




Topic 6 - Types of triangles



T y p e s o f t r i a n g l e sEXCEL YEAR 7 MATHEMATICS

Ch. 2.6, p. 16


a The interior angles of an equilateral triangle are __________________.

b The base angles of an isosceles triangle are __________________.

c The angle sum of a triangle is __________________.

d A triangle has all angles of equal size. The size of each angle is __________________.

e An exterior angle of a triangle is always equal to the sum of the __________________ angles.

QUESTION 1 Complete the following sentences.

a An equilateral triangle is a triangle in which __________________ sides are equal.

b An isosceles triangle is a triangle in which __________________ sides are equal.

c A scalene triangle is a triangle in which __________________ sides are equal.

d An acute-angled triangle has __________________ angles acute.

e An obtuse-angled triangle has __________________ obtuse angle.

f An right-angled triangle has __________________ right angle.

QUESTION 3 There are six members of the triangle family. Complete the following table.

foemaNelgnairt margaiD lauqeforebmuN

sedisfosexaforebmuN

yrtemmys muselgnA

a laretaliuqE

b selecsosI

c enelacS

d delgna-etucA

e delgna-thgiR

f delgna-esutbO




Topic 7 - Types of quadrilaterals



T y p e s o f q u a d r i l a t e r a l sEXCEL YEAR 7 MATHEMATICS

Ch. 2.7, p. 17

QUESTION 1 Name the folllowing quadrilaterals.

a b c

_______________________ _______________________ _______________________

d e f

_______________________ _______________________ _______________________

QUESTION 2 Complete the table by writing ‘yes’ or ‘no’ in the space provided.

seitreporP erauqS elgnatceR margolellaraP submohR muizeparT etiK

a erasedisetisoppOlauqe

b erasedisetisoppOlellarap

c eraselgnaetisoppOlauqe

d 09sielgnahcaE °

e 063simuselgnA °

f lauqeeraslanogaiD

g hcaetcesibslanogaiDrehto

h hcaetcesibslanogaiD09tarehto °

i lauqeerasedisllA




Topic 8 - Solids



S o l i d sEXCEL YEAR 7 MATHEMATICS

Ch. 2.10, 2.11, p. 19, 21


a Solids that have only square faces are ______________________________.

b Solids that have rectangular faces are ______________________________.

c Solids with some triangular faces are ______________________________.

d Solids with circular faces are ______________________________.

QUESTION 2

a Name the solid. ______________________________

b How many surfaces does it have? ______________________________

c How many flat surfaces does it have? ______________________________

d How many curved surfaces does it have? ______________________________

e How many vertices does it have? ______________________________

f How many edges does it have? ______________________________

QUESTION 3 Complete the following table.

emaNdilosfo margaiD forebmuN

(secaf f)forebmuN

(secitrev v)forebmuN

(segde e) f + v =2– e

a ebuC

b ralugnatceRmsirp

c ralugnairTmsirp

d lanogatnePmsirp

e erauqSdimaryp

f ralugnairTdimaryp




Topic 9 - Problem solving and shapes



1 Write true or false for the following.

a A rectangle is a solid. ______________

b All triangles have three interior angles. ______________

c Regular faces have equal sides and equal angles. ______________

d All polygons have more than five sides. ______________

e A cylinder has two edges. ______________

f A prism and pyramid are the same. ______________

2 Write the size of each angle of a rectangle.

___________________________________

3 Write the size of each angle of an equilateral triangle.

___________________________________

4 If the vertical angle of an isosceles triangle is 40° , find the size of each of its base angles.

______________________________________________________________________________________

5 The angle sum of a quadrilateral is 360° . A parallelogram is a quadrilateral. If one of its angles is 80° ,find the size of the other three angles.

______________________________________________________________________________________

6 If two angles of a triangle add up to 130° , find the size of the third angle.

______________________________________________________________________________________

7 Write the name of a solid that has all square faces.

____________________________________

8 Write the name of a solid that does not have any edges.

____________________________________

9 Are all parallelograms rhombuses?

____________________________________

10 Are all rhombuses parallelograms?

____________________________________

P r o b l e m s o l v i n g a n d s h a p e sEXCEL YEAR 7 MATHEMATICS

Ch. 2.16, p. 31



TOPIC TEST PART A

1 A rectangle is a

A prism B pyramid C cube D plane shape

2 The number of vertices of a cube is

A 5 B 6 C 7 D 8

3 The minimum number of sides of a polygon is

A 2 B 3 C 4 D 5

4 The number of faces of a triangular pyramid is

A 2 B 3 C 4 D 5

5 The number of parallel sides of a trapezium is

A 2 B 3 C 4 D none of these

6 The number of dimensions of a plane figure is


7 The angle sum of a triangle is

A 90° B 180° C 270° D 360°

8 The angle sum of a quadrilateral is

A 90° B 180° C 270° D 360°

9 The number of edges of a cylinder is

A 1 B 2 C 3 D 4

10 The number of equal sides in an isosceles triangle is

A 0 B 1 C 2 D 3

Marks

1

1

1

1

1

1

1

1

1

1

Instructions • This part consists of 15 multiple choice questions

• Fill in only ONE CIRCLE for each question• Each question is worth 1 mark• Calculators are NOT allowed

Time allowed: 15 minutes Total marks = 15




TOPIC TEST PART A

1 A rectangle is a

A prism B pyramid C cube D plane shape

2 The number of vertices of a cube is

A 5 B 6 C 7 D 8

3 The minimum number of sides of a polygon is

A 2 B 3 C 4 D 5

4 The number of faces of a triangular pyramid is

A 2 B 3 C 4 D 5

5 The number of parallel sides of a trapezium is


6 The number of dimensions of a plane figure is


7 The angle sum of a triangle is

A 90° B 180° C 270° D 360°

8 The angle sum of a quadrilateral is

A 90° B 180° C 270° D 360°

9 The number of edges of a cylinder is

A 1 B 2 C 3 D 4

10 The number of equal sides in an isosceles triangle is

A 0 B 1 C 2 D 3

Marks

1

1

1

1

1

1

1

1

1

1

Instructions • This part consists of 15 multiple choice questions

• Fill in only ONE CIRCLE for each question• Each question is worth 1 mark• Calculators are NOT allowed





Shapes, plane and solidTopic Test PART AInstructions This part consists of 12 multiple-choice questions Each question is worth 1 mark Fill in only ONE CIRCLE for each question Calculators are NOT allowed


Marks



Total marks achieved for PART A

Marks

1

1

1

1

15

1

11 The number of acute angles in an acute-angled triangle is


12 The number of obtuse angles in an obtuse-angled triangle is


13 Vertically opposite angles are

A equal B unequal C complementary D supplementary

14 An equilateral triangle has

A 2 sides equal B all sides equal C all sides different D one obtuse angle

15 The number of faces of a cube is

A 3 B 4 C 5 D 6



Total marks achieved for PART A

Marks

1

1

1

1

15

1

11 The number of acute angles in an acute-angled triangle is


12 The number of obtuse angles in an obtuse-angled triangle is


13 Vertically opposite angles are

A equal B unequal C complementary D supplementary

14 An equilateral triangle has

A 2 sides equal B all sides equal C all sides different D one obtuse angle

15 The number of faces of a cube is

A 3 B 4 C 5 D 6

15Total marks achieved for PART A

Shapes, plane and solidTopic Test PART A continued



Marks

Total marks achieved for PART B 15

Marks

Shapes, plane and solidTopic Test PART B



Instructions This part consists of 15 questions Each question is worth 1 mark Write answers in the answers-only columnTime allowed: 20 minutes Total marks = 15

Questions Answers only



Total marks achieved for PART B

TOPIC TEST PART B

Marks


Instructions • This part consists of 15 questions

• Each question is worth 1 mark• Write answers in the ‘Answers only’ column


15


1 How many faces does a rectangular prism have? ___________________

2 How many edges does a cone have? ___________________

3 Name two complementary angles in the diagram. ___________________

4 What is the size of ∠ABD in the diagram? ___________________

5 Name two supplementary angles in the diagram. ___________________

6 What is the size of ∠DBC in the diagram? ___________________

7 What is the angle sum of a triangle? ___________________

8 What is the angle sum of the two acute angles in a right-angledtriangle? ___________________

9 How many axes of symmetry does a rectangle have? ___________________

10 Write the type of angle that measures 65° . ___________________

11 Write the name of the plane shape with eight sides. ___________________

12 How many axes of symmetry does a square have? ___________________

13 What is the size of each angle of an equilateral triangle? ___________________

14 Are all rectangles squares? ___________________

15 Are all squares rectangles? ___________________

30°

A

B C

D

110°A B C

D

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1




TOPIC TEST PART B

Marks





15

















30°

A

B C

D

110°A B C

D

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1




TOPIC TEST PART B

Marks





15

















30°

A

B C

D

110°A B C

D

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

Instructions This part consists of 4 questions Each question is worth 5 marks Show all necessary


Questions

Total marks achieved for PART C 20

Marks

Shapes, plane and solidTopic Test PART C





Total marks achieved for PART C

TOPIC TEST PART C

Marks



• Each question is worth 5 marks• Show all necessary working


20

1 Write the type of angle that measures ...

a 33° ____________________________ b 90° _____________________________

c 155°____________________________ d 265°_____________________________

e 360°____________________________

2 Write the name of the plane shape with ...

a three sides ________________________________________________________________

b five sides __________________________________________________________________

c eight sides _________________________________________________________________

d ten sides __________________________________________________________________

e twelve sides _______________________________________________________________

3 Complete the following sentences.

a A triangular pyramid has _____________________________ faces.

b A cylinder has _____________________________ circular faces.

c A square pyramid has _____________________________ edges.

d A cone has _____________________________ faces.

e A triangular prism has _____________________________ vertices.

4 Draw the following solids and colour the base of each one.

a Rectangular prism b Cube

c Cylinder d Sphere

e Pentagonal pyramid

5

5

5

5



Total marks achieved for PART C

TOPIC TEST PART C

Marks



• Each question is worth 5 marks• Show all necessary working


20

1 Write the type of angle that measures ...

a 33° ____________________________ b 90° _____________________________

c 155°____________________________ d 265°_____________________________

e 360°____________________________

2 Write the name of the plane shape with ...

a three sides ________________________________________________________________

b five sides __________________________________________________________________

c eight sides _________________________________________________________________

d ten sides __________________________________________________________________

e twelve sides _______________________________________________________________

3 Complete the following sentences.

a A triangular pyramid has _____________________________ faces.

b A cylinder has _____________________________ circular faces.

c A square pyramid has _____________________________ edges.

d A cone has _____________________________ faces.

e A triangular prism has _____________________________ vertices.

4 Draw the following solids and colour the base of each one.

a Rectangular prism b Cube

c Cylinder d Sphere

e Pentagonal pyramid

5

5

5

5

Documents

Shapes, Plane and Solid - Weebly€¦ · b Complementary angles add up to _____. c Supplementary angles add up to _____. d The angle sum of a triangle is equal to _____. e The angle

Shapes, Plane and Solid - Weebly€¦ · b Complementary angles add up to ___. c Supplementary angles add up to _. d The angle sum of a triangle is equal to ___. e The angle