Perimeter and Area - portfoliotonks.weebly.com
12
Copyright © Perimeter and Area Mathlecs Instant Workbooks S tu d e n t B o o k - S e rie s J- 1 L B
Transcript of Perimeter and Area - portfoliotonks.weebly.com
Copyright ©
Perimeter and Area
Mathletics Instant
Workbooks
Student Book - Series J-1
L
B
Perimeter and areaStudent Book - Series J
Contents
Topic 1 - Plane shapes __/__/__
Topics Date completed
Topic 2 - Perimeter of regular shapes __/__/__ Topic 3 - Perimeter of irregular plane shapes __/__/__ Topic 4 - Perimeter of a sector __/__/__ Topic 5 - Areas of plane shapes __/__/__
Topic 8 - Applications of area __/__/__
Topic 6 - Area of a sector __/__/__ Topic 7 - Composite and shaded areas __/__/__
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
Author of The Topics and Topic Tests: AS Kalra
Practice Tests
Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__
1
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
Topic 1: Plane shapes
QUESTION 1 Name the following triangles.
a b c
d e f
QUESTION 2 Name the following quadrilaterals.
a b c
d e f
QUESTION 3 Name the following polygons.
a b c
QUESTION 4 Name the following shapes.
a b c
d e f
CHAPTER 4Perimeter and Area
UNIT 1: Plane shapes
34 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
>>
>>
> >
•
•
•
x
EXCEL INTERMEDIATE MATHS YEARS 9–10
pages 91, 93
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 34
2
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 Write the perimeter formula next to each shape.
a b c
d e f
QUESTION 2 Find the perimeter of each shape. All measurements are in centimetres.
a b c
QUESTION 3 Find the perimeter of each triangle. All measurements are in centimetres.
a b c
QUESTION 4 Find the perimeter of each shape. All measurements are in centimetres.
a b c
Perimeter and AreaUNIT 2: Perimeter of regular shapes
Chapter 4: Perimeter and Area 35
S
1
b
1__________
__________
__________
__________
__________
__________
•
)
32
1715
20
8
________________________________________________________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________
________________________________________________________________________________________________
________________________________________________________________________________________________
12 14
10
10 6
8
14
12
1810
7
s bs
a
br
l
r�
O
l
EXCEL INTERMEDIATE MATHS YEARS 9–10
pages 91–92
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 35
Topic 2: Perimeter of regular shapes
3
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 Find the perimeter of the following shapes. All measurements are in centimetres.
a b
c d
QUESTION 2 Find the perimeter.
a b
c d
QUESTION 3 Three sides of a pentagon are each equal to 7·5 cm and the remaining two sides are6·8 cm and 7·2 cm. Find its perimeter._________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
QUESTION 4 A room measures 15·74 m long and 9·86 m wide. The other two sides are each equal to10·32 m. Find its perimeter. _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Perimeter and AreaUNIT 3: Perimeter of irregular plane shapes
36 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
28
19
8
7
17
125
5 5
6
5
6
7
14
8
6
9·8
5·4
15·7
18·3
7·96·2
12
19
5
8
12·3
14·8
9·59
7
10
4
____________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
____________________________________________________________
___________________________________________________________________________
EXCEL INTERMEDIATE MATHS YEARS 9–10
page 92
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 36
Topic 3: Perimeter of irregular plane shapes
4
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 What fraction of the complete circle is each shaded sector?
a b c
d e f
g h i
QUESTION 2 Find the arc length of the following, leaving your answers in exact form.
a b c
d e f
QUESTION 3 Find the perimeter of each shaded sector, correct to one decimal place.
a b c
d e f
Perimeter and AreaUNIT 4: Perimeter of a sector
Chapter 4: Perimeter and Area 37
• • •120°
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
______________________________
______________________________
______________________________
______________________________
______________________________
______________________________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
•270°
•
45°
•
60°
•
150°•
225°
•
30°
20 cm
•45°
20 cm•
120°
20 cm •20 cm270°
O
20 cm 20 cm 60º
•15 cm
•25 m
•45°
3 m• 5·6 m
270°
•120°
20 cm • 72°12·8 cm
EXCEL INTERMEDIATE MATHS YEARS 9–10
page 92
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 37
Topic 4: Perimeter of a sector
5
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 Write the area formula for each shape below.
a b c
d e f
g h i
QUESTION 2 Find the area of the following shapes. All measurements are in centimetres.
a b c
d e f
QUESTION 3 Find the area of each shape.
a b c
d e f
Perimeter and AreaUNIT 5: Areas of plane shapes
38 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
S
1
b
1
h
b
>>
>>
> >h
b
>>
>>> >
x
y
<
<
h
a
b
a
b
r•
)
� r
l
5·4
12·6
8·3
4·8
10·6
>>
>>
> >8·4
20·3
>>
>>
> >
14·6
25·8
<
<
6·3
8
14
8 cm 15 cm12 cm
•
>
>
16 cm
10 cm
24 cm
28 cm•O
8 cm
10 cm
4·6 cm
18·4 cm
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________
__________ __________ __________
EXCEL INTERMEDIATE MATHS YEARS 9–10
pages 93–94
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 38
Topic 5: Areas of plane shapes
6
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 These six circles have the same radius. List the sectors in ascending order of area.
a b c
d e f
QUESTION 2 Calculate the area of each sector correct to two significant figures.
a b c
d e f
QUESTION 3 Find the area of each sector, leaving your answer in terms of π.
a b c
QUESTION 4 Find the radius, correct to one decimal place, for each sector.
a b c
Perimeter and AreaUNIT 6: Area of a sector
Chapter 4: Perimeter and Area 39
• •270°
•
__________
__________
__________ __________ __________
__________ __________ __________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
__________
__________
__________
__________•60°
•120° •
45°
• 60°6·5 cm
•120°15 cm
•24 cm
•
A = 42 cm2
•120°
A = 75 cm2
•270°
A = 120 cm2
• 18 cm240° •135°
15 cm
•225°12·8 cm•
270°10 cm
•22 cm
•8 cm
EXCEL INTERMEDIATE MATHS YEARS 9–10
page 94
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 39
Topic 6: Area of a sector
7
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 Find the area of each composite figure by dividing it into different shapes. Allmeasurements are in cm and all angles are right angles.
a b c
d e f
QUESTION 2 Find the area of the following shaded shapes. All measurements are in centimetres.
a b c
d e f
QUESTION 3 Find the area of each shaded shape.
a b c
d e f
Perimeter and AreaUNIT 7: Composite and shaded areas
40 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
2010
10
28
89 5
153
3
8
3
524
1220
3
5
46
12
9
54
20
5 15
38
27
20
10
•12
50
•
7
510
23
8
13
512
•
•16
cm •8 cm
12·8 cm
20·4 cm
12·6 cm
6cm
O is the centre of thecircle with arc AB
O
8·5 cm
A
B •12 cm
______________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
________________________________________
______________________________
______________________________
______________________________
______________________________
______________________________
EXCEL INTERMEDIATE MATHS YEARS 9–10
pages 94–95
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 40
Topic 7: Composite and shaded areas
8
Perimeter and area
Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
QUESTION 1 A rectangular lawn has a concrete path 1·5 m wide all around it. If the lawn is 45 m by 28m, find the total area of concrete. ___________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
QUESTION 2 A circular pond has a diameter of 7 m. A concrete path 2·5 m wide is placed all around it.Find the area of the path correct to the nearest square metre. ____________________________
_________________________________________________________________________________
_________________________________________________________________________________
QUESTION 3 A bathroom of the size shown is to be covered with 25 cmby 25 cm tiles. Assume that offcuts from the tiles cannot be used elsewhere.
a How many tiles are needed to fit across the length of the bathroom?
__________________________________________________________
__________________________________________________________
b How many tiles are needed for the width of the bathroom? __________
_____________________________________________________________________________
_____________________________________________________________________________
c How many tiles are needed altogether? _____________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
d Given that tiles cost $39.80/m2, and the tiler charges $27/m2 (of floor space), what is the cost oftiling the bathroom floor? ________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
QUESTION 4 A farmer wants to spread 450 kg of fertilizer per hectare. Find the weight of the fertilizerin tonnes needed to fertilize an 800 m by 650 m field. _____________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
Perimeter and AreaUNIT 8: Applications of area
Chapter 4: Perimeter and Area 41
5·5 m
4·25 m
EXCEL INTERMEDIATE MATHS YEARS 9–10
pages 100–101
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 41
Topic 8: Applications of area
42 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
TOPIC TEST PART APerimeter and AreaTime allowed: 15 minutes Total marks = 15
1 How many centimetres are there in 5·2 metres?�A 52 �B 5200 �C 250 �D 520
2 The area of a circle is given by the formula�A πr2 �B πd2 �C 2πr2 �D 2πd2
3 The perimeter of a circle is called its�A radius �B diameter �C circumference �D semi-circle
4 How many mm2 in 8 cm2?�A 8 �B 80 �C 800 �D 8000
5 What is the cost of tiling a floor 12 m by 8 m at $30 per square metre?�A $240 �B $360 �C $2880 �D $8280
6 What is the perimeter in cm of a square that has an area of 64 cm2?�A 16 cm �B 24 cm �C 32 cm �D 40 cm
7 How many tiles, each measuring 20 cm � 20 cm are needed for a floor 10 m � 10 m?�A 2500 �B 5000 �C 25 000 �D 50 000
8 The radius of the Earth is approximately 6400 km. What is the circumference of the Earth atthe Equator?�A 88 840 km �B 1·287 � 108 km �C 40 212 km �D 20 106 km
9 What is the area of a circle of radius 5·8 m? Answer to the nearest square metre.�A 18m2 �B 36 m2 �C 106 m2 �D 212 m2
10 The circumference of a bicycle wheel is 2·1 m. How far does the cyclist travel in 1000 turns ofthe wheel?�A 4410 m �B 6597 m �C 2100 m �D 13 194 m
11 Find the perimeter of an equilateral triangle of side 2·35 m.�A 12·98 m �B 4·7 m �C 7·05 m �D None of these
12 The distance from the earth to the sun is 150 million kilometres. The earth revolves once aroundthe sun each year. What distance is this to the nearest million kilometres?�A 471 �B 942 �C 4712 �D 9425
13 Find the circumference of a wheel with diameter 98 cm. Answer to the nearest cm.�A 308 �B 616 �C 154 �D 380
14 What is the side length of a square that has the same perimeter as a rectangle of 12 m by 6 m?�A 4 �B 6 �C 9 �D 12
15 A square has a perimeter of 48 cm. Its area in cm2 is�A 48 �B 60 �C 96 �D 144
Total marks for PART A 15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 42
42 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
TOPIC TEST PART APerimeter and AreaTime allowed: 15 minutes Total marks = 15
1 How many centimetres are there in 5·2 metres?�A 52 �B 5200 �C 250 �D 520
2 The area of a circle is given by the formula�A πr2 �B πd2 �C 2πr2 �D 2πd2
3 The perimeter of a circle is called its�A radius �B diameter �C circumference �D semi-circle
4 How many mm2 in 8 cm2?�A 8 �B 80 �C 800 �D 8000
5 What is the cost of tiling a floor 12 m by 8 m at $30 per square metre?�A $240 �B $360 �C $2880 �D $8280
6 What is the perimeter in cm of a square that has an area of 64 cm2?�A 16 cm �B 24 cm �C 32 cm �D 40 cm
7 How many tiles, each measuring 20 cm � 20 cm are needed for a floor 10 m � 10 m?�A 2500 �B 5000 �C 25 000 �D 50 000
8 The radius of the Earth is approximately 6400 km. What is the circumference of the Earth atthe Equator?�A 88 840 km �B 1·287 � 108 km �C 40 212 km �D 20 106 km
9 What is the area of a circle of radius 5·8 m? Answer to the nearest square metre.�A 18m2 �B 36 m2 �C 106 m2 �D 212 m2
10 The circumference of a bicycle wheel is 2·1 m. How far does the cyclist travel in 1000 turns ofthe wheel?�A 4410 m �B 6597 m �C 2100 m �D 13 194 m
11 Find the perimeter of an equilateral triangle of side 2·35 m.�A 12·98 m �B 4·7 m �C 7·05 m �D None of these
12 The distance from the earth to the sun is 150 million kilometres. The earth revolves once aroundthe sun each year. What distance is this to the nearest million kilometres?�A 471 �B 942 �C 4712 �D 9425
13 Find the circumference of a wheel with diameter 98 cm. Answer to the nearest cm.�A 308 �B 616 �C 154 �D 380
14 What is the side length of a square that has the same perimeter as a rectangle of 12 m by 6 m?�A 4 �B 6 �C 9 �D 12
15 A square has a perimeter of 48 cm. Its area in cm2 is�A 48 �B 60 �C 96 �D 144
Total marks for PART A 15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 42
9Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
Total marks achieved for PART A 15
Perimeter and areaTopic Test PART ATime allowed: 15 minutes Total marks = 12
Marks
Perimeter and areaTopic Test PART B
10Perimeter and areaMathletics Instant Workbooks – Series J Copyright © 3P Learning
TOPIC TEST PART BPerimeter and AreaTime allowed: 15 minutes Total marks = 15
Question 1
a What is the side length of a square that has an area of250 000 m2? ___________________________
b Convert 2·84 m2 to cm2. ___________________________
c If the area of a triangle is 120 cm2 and its base is 24 cm,find the height of the triangle. ___________________________
d Calculate the radius of a semi-circle whose area is 48π cm2. ___________________________
e A rhombus has diagonals 72 mm and 96 mm, find its area. ___________________________
Question 2 Find the perimeter of each of the following shapes.
a b
___________________________
c d
___________________________
e
___________________________
Question 3 Find each shaded area.
a ___________________________
b ___________________________
c ___________________________
d ___________________________
e ___________________________
Total marks for PART B 15
1
1
1
1
1
2
2
1
1
1
1
1
1
Chapter 4: Perimeter and Area 43
•10·8 cm
•
6 cm
6 cm
• 18 cm
22 cm
26 cm
8 cm
8 cm
15·8 cm
10 cm
60 m
32 m 8 m 24 m
38 cm
15 cm8 cm
10 cm
• O
34 cm
•
4 m
3 m
12·4 cm
5·2
cm
_________________________________
_________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
____________________________________________________________________________________________________________
_________________________________
_________________________________
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 43
TOPIC TEST PART BPerimeter and AreaTime allowed: 15 minutes Total marks = 15
Question 1
a What is the side length of a square that has an area of250 000 m2? ___________________________
b Convert 2·84 m2 to cm2. ___________________________
c If the area of a triangle is 120 cm2 and its base is 24 cm,find the height of the triangle. ___________________________
d Calculate the radius of a semi-circle whose area is 48π cm2. ___________________________
e A rhombus has diagonals 72 mm and 96 mm, find its area. ___________________________
Question 2 Find the perimeter of each of the following shapes.
a b
___________________________
c d
___________________________
e
___________________________
Question 3 Find each shaded area.
a ___________________________
b ___________________________
c ___________________________
d ___________________________
e ___________________________
Total marks for PART B 15
1
1
1
1
1
2
2
1
1
1
1
1
1
Chapter 4: Perimeter and Area 43
•10·8 cm
•
6 cm
6 cm
• 18 cm
22 cm
26 cm
8 cm
8 cm
15·8 cm
10 cm
60 m
32 m 8 m 24 m
38 cm
15 cm8 cm
10 cm
• O
34 cm
•
4 m
3 m
12·4 cm
5·2
cm
_________________________________
_________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
____________________________________________________________________________________________________________
_________________________________
_________________________________
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 43
TOPIC TEST PART BPerimeter and AreaTime allowed: 15 minutes Total marks = 15
Question 1
a What is the side length of a square that has an area of250 000 m2? ___________________________
b Convert 2·84 m2 to cm2. ___________________________
c If the area of a triangle is 120 cm2 and its base is 24 cm,find the height of the triangle. ___________________________
d Calculate the radius of a semi-circle whose area is 48π cm2. ___________________________
e A rhombus has diagonals 72 mm and 96 mm, find its area. ___________________________
Question 2 Find the perimeter of each of the following shapes.
a b
___________________________
c d
___________________________
e
___________________________
Question 3 Find each shaded area.
a ___________________________
b ___________________________
c ___________________________
d ___________________________
e ___________________________
Total marks for PART B 15
1
1
1
1
1
2
2
1
1
1
1
1
1
Chapter 4: Perimeter and Area 43
•10·8 cm
•
6 cm
6 cm
• 18 cm
22 cm
26 cm
8 cm
8 cm
15·8 cm
10 cm
60 m
32 m 8 m 24 m
38 cm
15 cm8 cm
10 cm
• O
34 cm
•
4 m
3 m
12·4 cm
5·2
cm
_________________________________
_________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
_______________________________________________________________________________________________________________
____________________________________________________________________________________________________________
_________________________________
_________________________________
Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd 21/2/08 6:39 PM Page 43
Total marks achieved for PART B 15
Time allowed: 15 minutes Total marks = 12
Marks
