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Perimeter and Area
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Maths Revision Yr 9 Part 1.qxd:2717_0108R1_pp01_98.qxd
21/2/08
6:39 PM
Page 42
Perimeter and area
TOPICTest
TEST
Topic
PARTAA
PART
Perimeter and Area
Time allowed: 15 minutes
Total marks = 15
Time allowed: 15 minutes
Total marks = 15
Marks
1
How many centimetres are there in 5·2 metres?
A 52
B 5200
C
250
D
520
1
2
The area of a circle is given by the formula
A πr 2
B πd 2
C
2πr 2
D
2πd 2
1
The perimeter of a circle is called its
A radius
B diameter
C
circumference
D
semi-circle
1
4
How many mm2 in 8 cm2 ?
A 8
B 80
C
800
D
8000
1
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
1
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
1
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
1
8
The radius of the Earth is approximately 6400 km. What is the circumference of the Earth at
the Equator?
A 88 840 km
B 1·287 108 km
C 40 212 km
D 20 106 km
1
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
1
3
9
10 The circumference of a bicycle wheel is 2·1 m. How far does the cyclist travel in 1000 turns of
the wheel?
A 4410 m
B
6597 m
C
2100 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
13 194 m
1
D
None of these
1
12 The distance from the earth to the sun is 150 million kilometres. The earth revolves once around
the 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
D
154
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
15 A square has a perimeter of 48 cm. Its area in cm2 is
A
48
B
60
C
1
9
D
12
1
96
D
144
1
Total marks for PART A
Total marks achieved for PART A
42
1
15
15
Perimeter and
area
EXCEL
EXCEL
ESSENTIAL
ESSENTIAL SKILLS:
SKILLS: YEAR
YEAR 99 MATHEMATICS
MATHEMATICS REVISION
REVISION AND
AND EXAM
EXAM WORKBOOK
WORKBOOK 11
Mathletics Instant Workbooks – Series J
Copyright © 3P Learning
ii
Maths
Maths Revision
Revision Yr
Yr 99 Part
Part 1.qxd:2717_0108R1_pp01_98.qxd
1.qxd:2717_0108R1_pp01_98.qxd 21/2/08
21/2/08 6:39
6:39 PM
PM Page
Page 43
43
Perimeter and area
TOPIC
TOPIC TEST
TEST
Topic Test
PART
PART BB
PART B
Perimeter and Area
Time allowed: 15 minutes
Total marks = 15
Time
Time allowed:
allowed: 15
15 minutes
minutes
Total
Total marks
marks == 15
15
Marks
Question
Question 11
aa
What
What isis the
the side
side length
length of
of aa square
square that
that has
has an
an area
area of
of
250
250000
000 m
m22??
___________________________
___________________________
11
bb
to cm
cm22..
Convert
Convert 2·84
2·84 m
m22 to
___________________________
___________________________
11
cc
and its
its base
base isis 24
24 cm,
cm,
IfIf the
the area
area of
of aa triangle
triangle isis 120
120 cm
cm22 and
find the
the height
height of
of the
the triangle.
triangle.
find
___________________________
___________________________
11
dd
Calculate the
the radius
radius of
of aa semi-circle
semi-circle whose
whose area
area isis 48π
48π cm
cm22..
Calculate
___________________________
___________________________
11
ee
Arhombus
rhombus has
has diagonals
diagonals 72
72 mm
mm and
and 96
96 mm,
mm, find
find its
its area.
area.
A
___________________________
___________________________
11
___________________________
___________________________
22
___________
___________
___________
___________
___________
___________
___________________________
___________________________
22
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
Question
Question 22 Find
Find the
the perimeter
perimeter of
of each
each of
of the
the following
following shapes.
shapes.
aa
___________
___________ bb
___________
___________
___________
___________
10·8
10·8
10·8cm
cm
cm
•••
cc
18
18
18cm
cm
cm
•••
ee
15·8
15·8
15·8cm
cm
cm
10
10
10cm
cm
cm
___________
___________
___________
___________
___________
___________
dd
___________
___________
___________
___________
___________
___________
666cm
cm
cm
•••
666cm
cm
cm
22
22
22cm
cm
cm
888cm
cm
cm
26
26
26cm
cm
cm
888cm
cm
cm
Question
Question 33 Find
Find each
each shaded
shaded area.
area.
aa
32
32
32m
mm
888m
mm 24
24
24m
mm
60
60
60m
mm
bb
888cm
cm
cm
10
10
10cm
cm
cm
38
38
38cm
cm
cm
cm
4 cm
334
cc
•••O
OO
dd
444m
mm
•••
333m
mm
5·2
5·2 cm
cm
ee
12·4
12·4
12·4cm
cm
cm
15
15
15cm
cm
cm
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
_____________________________________
____________________________________
____________________________________
____________________________________
____________________________________
____________________________________
____________________________________
Total
Total
marks
marks for
for
forPART
PART
PARTBB
B
Total marks
achieved
Chapter
Chapter
Chapter4:
4:
4:Perimeter
Perimeter
Perimeterand
and
andArea
Area
Area
Perimeter and area
Mathletics Instant Workbooks – Series J
Copyright © 3P Learning
15
15
15
43
43
iii
Organisation
150
Total
870
Savings
School needs
Total
200
80
420
Car expenses
150
Total
450
Page 31 1 a $660 b 25·98% c 20·63% 2 a $12 360 b $18 540 3 a $5.16 b $51.64 4 $600
Answers – Perimeter and area
Page 32 1 B 2 C 3 D 4 B 5 B 6 C 7 C 8 C 9 A 1 0 C 11 C 1 2 B 1 3 D 1 4 A 1 5 B
Page 33 1 a $1024 b $1358.65 c 33 13% d $90 e $1281.80 2 a i $132 000 i i $572 000 b i $701.25 i i $616
i i i Cameron earns $85.25 more than Cathy 3 a i $2573.08 i i $128.65 b i $1248.30 i i $1691.78 i i i $5867.01
1 1 a isosceles b equilateral c scalene d acute-angled e right-angled f obtuse-angled 2 a square b rectangle
Page 34
c parallelogram d rhombus e trapezium f kite 3 a pentagon b hexagon c octagon 4 a circle b semi-circle c quadrant
d minor segment e sector f ellipse
Page 2
35 1 a P = 4s b P = 2l + 2b c P = 3s d P = 2a + 2b e P = 2πr f P = 2r + l 2 a 98 cm b 60 cm c 56 cm 3 a 36 cm
b 38 cm c 24 cm 4 a 70 cm b 60 cm c 28 cm
Maths Revision Yr 9 Part 2.qxd:2717_pp99_139.qxd
21/2/08
6:41 PM
Page 131
Page 3
36 1 a 79 cm b 48 cm c 64 cm d 42 cm 2 a 61·8 cm b 50·7 cm c 57 cm d 66·6 cm 3 36·5 cm 4 46·24 m
1
5
g 81 h 12
i
Page 4
37 1 a 12 b 14 c 13 d 34 e 61 f 12
b 81·9 cm c 41·7 cm d 64·3 m e 8·4 m f 37·6 m
5
8
2 a 10π cm b 20π cm c
20π
3
cm d 5π cm e
40π
cm
3
f 30π cm 3 a 53·6 cm
πr2
Page 38
5 1 a A = s 2 b A = lb c A = 12 bh d A = bh e A = 12 x y f A = 12h(a + b) g A = 12 ab h A = πr 2 i A = 360°
Answers
2 a 68·04 cm2 b 68·89 cm2 c 25·44 cm2 d 170·52 cm2 e 188·34 cm2 f 69·3 cm2 3 a 60 cm2 b 452·4 cm2 c 200 cm2 d 615·75
cm2 e 80 cm2 f 42·32 cm2
Page 39
6 1 f, d, c, e, a, b 2 a 22 cm2 b 190 cm2 c 50 cm2 d 240 cm2 e 240 cm2 f 320 cm2 3 a 144π cm2 b 216π cm2
675π
c
cm2 4 a 7·3 cm b 8·5 cm c 7·1 cm
EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 1
130
8
Page 7
40 1 a 380 cm2 b 340 cm2 c 54 cm2 d 160 cm2 e 300 cm2 f 117 cm2 2 a 710 cm2 b 926 cm2 c 2047·6 cm2
d 298·45 cm2 e 322 cm2 f 102·73 cm2 3 a 292·25 cm2 b 201·06 cm2 c 35·16 cm2 d 181·44 cm2 e 20·62 cm2 f 678·58 cm2
Page 8
41 1 228 m2 2 75 m2 3 a 22 b 17 c 374 d $1561.45 4 23·4 tonnes
Page 9
42 1 D 2 A 3 C 4 C 5 C 6 C 7 A 8 C 9 C 1 0 C 11 C 1 2 B 1 3 A 1 4 C 1 5 D
Page 10
43 1 a 500 m b 28 400 cm2 c 10 cm d 9·8 cm e 3456 mm2 2 a 33·9 cm b 21·4 cm c 82·3 cm d 96 cm e 41·6 cm
3 a 1184 m2 b 530 cm2 c 1319·7 cm2 d 21·99 m2 e 85·7 cm2
Page 44 1 a 1000 b 100 c 10 000 d 1 000 000 e 100 000 f 10 000 000 g 100 000 000 h 10 i 1 000 000 000 j 1
k 10000000000 l 100000000000 2 a 10 1 b 10 3 c 10 2 d 10 4 e 10 0 f 10 5 g 10 6 h 10 7 i 10 9 j 10 8 k 10 10 l 10 12 3 a 2000
b 30 000 000 c 400 d 5 000 000 e 80 000 f 70 g 900 000 h 60 000 000 i 50 000 000 000 j 300 000 000 k 9 000 000 000
1
1
1
l 700 000 000 000 4 a 1 b 1
c 1 d 1 e
f
g 1 h
i 1 j 1 k 1 l 1 5 a 0·1
10 10 000 1000 100 10 000 000 100 000 10 1 000 000 100 500 2000 1000
b 0·00000001 c 0·01 d 0·00001 e 0·0001 f 0·0000001 g 0·001 h 0·000000001 i 0·0000000001 j 0·00000000001
k 0·000000000001 l 0·000001 6 a 3 10 4 b 7 10 3 c 5 10 2 d 10 1 e 10 2 f 8 10 6 g 4 10 5 h 6 10 4 i 2 10 7 j 10 –1
k 10 –2 l 10 –4
Page 45 1 a 10 7 b 10 7 c 10 8 d 10 10 e 10 11 f 10 13 g 10 12 h 10 9 i 10 9 j 10 13 k 10 12 l 10 19 2 a 10 5 b 10 7 c 10 3 d 10 0 e 10 6
f 10 11 g 10 1 h 10 4 i 10 6 j 10 –1 k 10 4 l 10 3 3 a 10 4 b 10 7 c 10 40 d 10 15 e 10 30 f 10 84 g 10 24 h 10 24 i 10 3 j 10 2 k 10 3 l 10 4
6 c 10 10 d 10 –3 e 10 f 10 3 g 10 –3 h 10 2 i 10 j 10 2 k 1 l 10 5 a 10 7 b 10 5 c 10 6 d 10 4 e 10 6 f 10 8 g 1 h 10
4 a 103 b 10
5
4
10
i 10 j 10 k 10 8 l 10 4 6 a x = 5 b x = –5 c x = –2 d x = –7 e x = –6 f x = –21 g x = 7 h x = 6 i x = 13 j x = 3 k x = –4 l x = –5
2
Page 46 1 a 3·2 10 4 b 6·4 10 7 c 9·3 10 4 d 9·38 10 5 e 7·5 10 6 f 6·3 10 5 g 6·54 10 6 h 2·53 10 6 i 8·9 10 6
j 4·16 10 3 k 2·37 10 7 l 6·3 10 5 2 a 4·8 10 3 b 8 10 4 c 6·58 10 5 d 3·25 10 6 e 6 10 6 f 5·398 10 2 g 5·63 10 5
h 8·53 10 11 i 4 10 6 j 6·4 10 2 k 7·935 10 3 l 6·3 10 4 3 a 8·93 10 2 b 3 10 5 c 9 10 4 d 4·8 10 5 e 6·37 10 4
f 5·431 10 6 g 6·39 10 5 h 4·86 10 7 i 3·9 10 7 j 5 10 8 k 4·349 10 1 l 7·6317 10 3 4 a 9·7 10 0 b 8·0 10 0
c 5·38 10 0 d 7·9 10 0 e 3 10 0 f 8·2 10 0 g 9·63 10 0 h 7·25 10 0 i 4·62 10 0 j 8·13 10 0 k 2·54 10 0 l 9·75 10 0
5 a 34 000 b 9 250 000 c 8 230 000 d 8 150 000 e 70 100 000 f 5400 g 63 510 h 40 300 i 34 860 j 538 100 k 95 000 l 729 000
6 a 5 10 2 b 8 10 3 c 3 10 6 d 1·5 10 4 e 5 10 5 f 1 10 5 g 6·3 10 8 h 9·634 10 2 i 6·31 10 9 j 1·28 10 2
k 7·98 10 5 l 5·36 10 6
Page 47 1 a 2·5 10 –3 b 7 10 –3 c 1·8 10 –5 d 8·3 10 –3 e 7·2 10 –6 f 3·9 10 –3 g 5·7 10 –3 h 4·8 10 –3 i 7·1 10 –5
j 4·36 10 –2 k 2·2 10 –6 l 5 10 –5 2 a 4·3 10 –1 b 8·9 10 –3 c 6·5 10 –4 d 4·1 10 –4 e 5·49 10 –5 f 7·36 10 –2
g 9·25 10 –3 h 3·29 10 –3 i 7 10 –7 j 8·3 10 –1 k 5·48 10 –6 l 7·16 10 –2 3 a 8·5 10 –1 b 3·56 10 –2 c 4·7 10 –3
d 8·31 10 –4 e 2·15 10 –4 f 8·35 10 –3 g 1·7 10 –4 h 2·18 10 –3 i 3·87 10 –4 j 5·34 10 –7 k 1·23 10 –4 l 5 10 –4
4 a 5 10 –2 b 8 10 –3 c 2·5 10 –2 d 6 10 –6 e 2·51 10 –5 f 6·932 10 –2 g 4·56 10 –4 h 7·3 10 –3 i 3·58 10 –1
j 6·3 10 –4 k 8·4 10 –5 l 7·92 10 –4 5 a 0·005 b 0·000008 c 0·076 d 0·0005608 e 0·0503 f 0·0083 g 0·000859 h 0·0059
i 0·00 333 j 0·00 508 k 0·098 l 0·000 961 6 a 3 10 –1 b 1 10 –2 c 5 10 –3 d 1·2 10 –1 e 3 10 –6 f 9 10 –1 g 5 10 –2
h 6 10 –6 i 7 10 –1 j 5 10 –3 k 2·3 10 –2 l 8 10 –5
Page 48 1 a 1·4 10 10 b 2·814 10 7 c 4·3264 10 11 d 1·872 10 7 e 2·842 10 11 f 2·898 10 14 2 a 4 10 2 b 5 10 5
c 6 10 5 d 2·625 10 3 e 2 10 5 f 7 10 –14 3 a 1·323 10 14 b 1·35 10 4 c 1·67429 10 5 d 4·096 10 –5
e 6·2742241 10 –9 f 7 10 –2 4 a 3·666 10 10 b 9·145 10 9 c 7·574 10 7 d 1·769 10 10 e 9·202 10 32 f 1·832 10 4
5 a 4·096 10 23 b 3·6 10 –7 c 3 10 10 d 6·48 10 16 e 4 10 7 f 4 10 13 6 a 8·476 10 6 b 7·2 c 8·5 10 –3 d 5·3648
e 1 10 –2 f 6·35 10 –5
Page 49 1 a 7 10 7 b 6·4 10 5 c 3·2 10 6 d 5 10 –2 e 4·8 10 –3 f 6·7 10 2 2 a 9·3 10 6 b 6·03 10 –2 c 8·9 10 4
d 5·9 10 –6 e 8·35 10 –6 f 7·5 10 –5 3 a 3·5 10 –8, 3·5 10 4, 3·5 10 6 b 5 10 –7, 5 10 –6, 5 10 –2 c 7 10 –8, 7 10 –5,
7 10 –3 d 2·5 10 4, 3·8 10 6, 3·1 10 8 e 3·8 10 –3, 3·9 10 –3, 5·4 10 –3 f 3·5 10 –5, 3·8 10 3, 4·9 10 4 4 a 8 10 5,
8 10 4, 8 10 3 b 3·9 10 5, 5·3 10 4, 7·6 10 3 c 3·2 10 6, 2·1 10 6, 1·5 10 6 d 8 10 3, 6 10 3, 5 10 3 e 7 10 –3,
5 10 –3, 4 10 –3 f 9·1 10 –2, 8·3 10 –3, 5·6 10 –4 5Perimeter
a 7 10 2and
, 7 area
10 3, 7 10 4 b 2·3 10 6, 3·6 10 4, 8·9 10 2 c 2·4 10 –3, iv
Instant
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, 4·3 Workbooks
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9·5Learning
10 3 f 4·7 10 –4, 6·5 10 –5, 3·2 10 –6
6 a 6·3 10 5 b 6·2 10 9 c 8 10 5 d 1·3 10 9 e 4·5 10 –2 f 9·3 10 9
Page 50 1 C 2 B 3 D 4 C 5 C 6 D 7 D 8 D 9 B 1 0 C 11 C 1 2 C 1 3 C 1 4 C 1 5 C
Page 51 1 a 10 4 b 10 2 c 10 11 d 1 e 10 4 2 a x = 6 b 1·7 10 4 c 5 10 –5 d 5·96 10 –2 e 1500 3 a 1·49 10 8 km