Area, Volume and Capacity
r Book - Series H-1
Teache
12
10
6
25
Mathletics
Instant
Workbooks
Copyright ©
Area,
volume
and
capacity
Area, volume
and
capacity
Unit
UNITTest
11: TOPIC TEST
Instructions
This part consists of 12 multiple-choice questions
Instructions
• Each
question
is worth
mark
This part
consists
of 121multiple-choice
questions
• Fill
in only
ONE is
CIRCLE
each question
Each
question
worth 2for
marks
• Calculators
are NOT
allowed
Fill in only ONE
CIRCLE
for each question
Time allowed: 15
minutesare NOT allowed
• Calculators
PART
PARTAA
Total marks = 12
Time allowed: 15 minutes
1
3
C
18 L
D
20 L
11
B
11 cm 2
121 cm 2
C
110 cm 2
D
44 cm2
11
B
50 m2
49 m2
D
324 m2
11
C
126 m 2
B
8 cm
4 cm
C
2 cm
D
16 cm
11
30 mm 2
C
300 mm 2
D
3000 mm2
11
B
350 mL
C
3500 mL
D
35 000 mL
11
B
40 kL
C
400 kL
D
4000 kL
11
20 000 cm 3
C
200 000 cm 3
D
2 000 000 cm 3
11
B
3 mm2
35 mL
4 kL
How many cm3 in 2 m3?
2000 cm 3
B
The volume of a rectangular prism 4 cm × 5 cm × 6 cm equals
A
12
25 mL
How many kL in 4 m3?
A
11
B
15 mL
How many mL in 3.5 L?
A
10
15 cm 3
B
30 cm 3
C
60 cm 3
D
120 cm3
11
C
3000 mL
D
3500 mL
11
The capacity of a glass would be closest to
A
30 mL
B
300 mL
Total marks achieved for PART A
134
11
How many mm2 in 3 cm2?
A
9
11
If the volume of cube is 64 cm3, then its side length is
A
8
$527
A rectangle is 18 m long and 7 m wide. Its area equals
A
7
D
The area of a square of size 11 cm is
A
6
$540
A petrol tank when half full holds 40 litres. How much more petrol does it hold if it is
three-quarters full?
A
5
C
$504
How many tiles each measuring 10 cm × 10 cm are needed to cover a floor 6 m × 6 m?
B
3600
60 000
30 000
A
C
D 36
A
4
B
$450
Marks
Marks
What is the cost of tiling a floor 9 m by 3 m at $20 per square metre?
A
2
Total marks = 12
12
Total
achievedREVISION
for PART
A WORKBOOK 1
EXCEL ESSENTIAL
SKILLS:marks
YEAR 7 MATHEMATICS
AND EXAM
12
Area, volume and capacity
Mathletics Instant Workbooks – Series H
Copyright © 3P Learning
ii
Area, volume and capacity
Area, volume and capacity
Unit Test
UNIT 11: TOPIC TEST
Instructions This part consists of 15 questions
Instructions
PART B
PART B
•Each
is worth
mark
This question
part consists
of 151questions
•Write
answers-only
Eachanswers
questioninisthe
worth
2 marks column
Time allowed: 20
minutes
• Write
answers in the answers-only column
Total marks = 15
Time allowed: 20 minutes
Questions
Total
= 30
Answers
onlymarks Marks
Answers only
Questions
Marks
1
Find the volume of a cube of edge 8 cm.
21
2
Find the volume of a rectangular prism 6 cm × 9 cm × 3 cm.
21
Find the volume of a triangular prism with base area 30 cm2
and height 10 cm.
21
4
How many litres in 5000 mL?
21
5
The volume of a cube is 1331 cm3. Find its edge length.
21
A rectangular prism has dimensions 2 cm by 3 cm by 4 cm.
Find its volume.
21
If each of the dimensions given in question 6 is doubled,
what would be the prism’s volume?
21
8
Find the area of a rectangle 10 m × 6 m.
21
9
Find the side length of a square whose area is 169 cm2.
21
3
6
7
1 0 If the area of a triangle is 30 cm2 and its base is 6 cm, find the
height of the triangle.
21
1 1 There are 28 students in a class. Each student drinks 250 mL
of milk. How many litres is this?
21
1 2 Find the area of a triangle with a base of 29 mm and a height
of 40 mm.
2
1
1 3 Find the number of cubic millimetres (mm3) in one cubic
centimetre.
21
1 4 How many millilitres are in 1 kilolitre?
21
1 5 A jug has a volume of 8000 cm3. How many litres of water
can it hold?
Total marks achieved for PART B
Total marks achieved for PART B
EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 1
Area, volume and capacity
Mathletics Instant Workbooks – Series H
Copyright © 3P Learning
1
2
30
15
135
iii
PAGE 120 1 a (2, 2) b (−3, −2) c (−4, 4) d (2, −2) e (5, 0) f (−3, 1) g (4, 3) h (7, −2) i (−6, −1) j (−5, −4)
k (−5, 3) l (3, 4) m (7, 2) n (5, −3) o (0, 0) p (−2, 3) q (0, −3) r (0, 4) s (2, 3) t (−6, 2) u (5, −2) v (8, −4)
w (−3, −5) x (3, 1) 2 a U b Q c F d E e A f B g L h R i J j O k I l D m T n G o M p N q K r P s C t S
u W v H w V x Z
PAGE 121 1 2 km north 2 withdrawal of $200 3 −5, −6 4 −3, +2 5 −5 6 loss of $5000 7 −9° 8 loss of 2 kg 9 +12
10 18 11 −9 12 −20 13 −2 14 −3, −1, 2 15 −3, −4
PAGE 122 1 C 2 B 3 A 4 D 5 B 6 A 7 C 8 D 9 B 10 A 11 C 12 B
PAGE 123 1 −6 2 66 3 −16 4 −63 5 46 6 +15 7 −24 8 −2 9 +5 10 −10 11 −11 12 −26 13 0 14 −12 15 −6
1
PAGE 124
1 a 16 cm2 b 25 cm2 c 64 cm2 d 49 cm2 e 81 cm2 f 36 cm2 2 a 9 m2 b 100 m2 c 121 cm2 d 2.25 m2
e 144 mm2 f 10.24 m2 3 a 4 cm b 13 m c 7 m d 15 cm e 16 cm f 26 mm
2
PAGE 125
1 a 21m2 b 40 cm2 c 180 cm2 d 55 m2 e 280 mm2 f 48 cm2 2 a 63 cm2 b 36cm2 c 70 m2 d 66 mm2
e 24 m2 f 60 m2 g 120 cm2 h 150 mm2 i 140 cm2 j 160 cm2 3 a 30m2 b 4 m c 72 cm2 d 7 cm e 5 m f 5 m g 112 cm2
h 11 cm i 5 mm j 35 cm
PAGE 126
1 a 30 cm2 b 45 cm2 c 60 cm2 d 81 cm2 e 14 cm2 f 126 cm2 2 a 225 cm2 b 8 cm 3 a 12 m2 b 33 cm2
3
2
c 40 cm d 54 cm2 e 36 cm2 f 21 m2 4 a 32 cm2 b 8 cm c 42 cm2 d 8 cm e 100 cm2 f 10 cm
4
PAGE 127
1 a 92 cm2 b 72 cm2 c 125 cm2 d 224 cm2 e 1500 cm2 f 32 cm2 g 96 cm2 h 240 cm2 i 5100 cm2
2 a 84 cm2 b 352 cm2 c 240 cm2 d 140 cm2 e 460 cm2 f 112 cm2
PAGE 128
1 a 8 m3 b 64 m3 c 125 cm3 d 343 m3 e 729 m3 f 216 m3 2 a 5 cm b 7 cm 3 a 1 cm3 b 1331 cm3
5
3
c 1000 cm d 13.824 m3 e 27 m3 f 4.096 m3 g 512 cm3 h 6.859 m3 i 15.625 m3
6
PAGE 129
1 a 216 cm3 b 126 cm3 c 200 cm3 d 720 cm3 e 630 cm3 f 200 cm3 2 a 350 cm3 b 192 m3 c 90 mm3
d 54 cm3 e 220 cm3 f 48 m3 3 a 72 m3 b 105 cm3 c 2 mm d 9 cm e 4 m f 60 cm3
7
PAGE 130
1 a 300 cm3 b 480 cm3 c 720 cm3 d 312 cm3 e 120 cm3 f 1620 cm3 2 a 240 cm3 b 180 m3 c 1230 cm3
3
d 1680 cm e 60 m3 f 480 m3 3 a 120 m3 b 53 cm2 c 360 m3 d 12 m e 67 cm2 f 9 cm g 360 m3 h 348 m3
8
PAGE 131
1 a 343 cm3 b 576 cm3 c 72 cm3 d 96 cm3 e 1800 cm3 f 1800 cm3 2 a 6 b 8 c 12 d
e 1350 cm3 f 405 cm3 g 1755 cm3 3 a 160 cm2 b 40 cm2 c 120 cm2 d 360 cm3
Answers – Area, volume and capacity
9
PAGE 132
1 a 1 b 75 c 3.5 d 6000 e 3250 f 6500 g 1000 h 4000 i 6500 2 a 1 cm3 b 1 m3 c 1 cm3 d 1 L e 1 kL
f 1 m3 3 a 12 L b 25 kL c 600 mL d i 72 000 cm3 ii 72 L 4 a 125 cm3,125 mL b 300 cm3, 300 mL c 600 cm3, 600 mL
10 1 40 L 2 600 mL 3 9 cm 4 800 mL 5 150 L 6 i 90 cm3 ii 720 cm3 7 800 cm2 8 100 cm2 9 8 cm 10 108 m2
PAGE 133
11 216
cm3 12
1250
mL7 MATHEMATICS REVISION AND EXAM WORKBOOK 1
EXCEL
ESSENTIAL
SKILLS:
YEAR
155
12 1 C 2 A 3 D 4 B 5 C 6 B 7 C 8 C 9 A 10 D 11 D 12 B
PAGE 134
PAGE 135
13 1 512 cm3 2 162 cm3 3 300 cm3 4 5 L 5 11 cm 6 24 cm3 7 192 cm3 8 60 m2 9 13 cm 10 10 cm 11 7 L
12 580 mm2 13 1000 mm3 14 1 000 000 mL 15 8 L
PAGE 136 1 A 2 C 3 D 4 A 5 C 6 C 7 A 8 D 9 A 10 B 11 D 12 A
89
7
PAGE 137 1 27 2 11 3 1.4 4 0.625 5 5.311 6 30 years 7 77 mm 8 2 9 −16 10 9a 11 27 12 3, 5 13
14 5 cm 15
140
10
16 8ab 17 12.10 p.m. 18 2x + 10 19 1, 2, 3, 6, 9, 18 20 5
PAGE 138 1 a 7 b 1 c 3 d 24 e 25 f −24 2 a 40 cm b 96 cm2 3 a i 72 ii 8 b i 17 − (4 + 3) = 10
1
ii (24 − 19) × (4 + 6) = 50 4 a cube b square pyramid c cylinder 5 a 18 b 54 min c
d 75
40
PAGE 139 1 B 2 C 3 B 4 A 5 B 6 B 7 C 8 C 9 C 10 B 11 D 12 C
PAGE 140 1 sixty-seven million, ninety-eight thousand, seven hundred and eighty-two 2 (3 × 1000) + (9 × 10) 3 90
3
2
4 12 5 10 6 72 7 112, 122, 212, 221 8 18 9 999 10 6 11 5 h 20 min 12 6.50 p.m. 13 24 14 −11 15 37 16
17
7
5
18 4 19 475 cm 20 0.11
PAGE 141 1 a 30 mm b 3200 m c 10 000 m2 d 2.5 m e 0.73 km f 300 s 2 a 7a + 5 b 14p2 + 2p c a3b2 d 2a8 e a2 f
x + 10 3 a 21 cm b 36 cm 4 a 25 cm2 b 160 mm2 c 54 cm2 d 36 m2
PAGE 142 1 B 2 B 3 C 4 D 5 B 6 B 7 D 8 D 9 C 10 C 11 C 12 D
3
7
7
3
3 64.8 4 2 5 4x 6 5x 7 6x 8 41 9 4 10
11 0.625 12 7a + 2b 13
14 740 15 3.00 16 1
PAGE 143 1 $32 2
5
9
4
20
17 +4 18 583 19 12 20 10 h 30 min
pq
PAGE 144 1 a i 509 063 ii 83 009 b i −8 ii −48 iii 16 iv −12 v 256 vi 140 2 a 2pq b 3x + 7y c p − q 3 a cube b i 8
ii 12 iii 6 4 a
b
c
5 a 88 m2 b 8.25 m2
PAGE 145 1
PAGE 146 1
11 2a + 2c 12
PAGE 147 1
b
C 2 C 3 D 4 D 5 B 6 B 7 C 8 B 9 D 10 C 11 C 12 B
4
60 2 19 3 5 4 375 cm 5 2514.5 6 0.875 7 $120.00 8 12, 24, 36 9 1, 2, 3, 4, 6, 9, 12, 18, 36 10 5
5
2
12 13 ∠DBE 14 17 15 5x + 15 16 $20.00 17 pentagon 18 36 m 19 37 20 ∠EFB
a 50 mm b 825 cm c 366 days d 150 seconds e 90 min f 2000 m 2 a i 3 ii 12 iii 5 iv 25 v −7 vi −4
c 0, −2 3 a i −12 ii 0 iii 10 b i p3 ii a2b2 iii 4t2 c i 5 ii −64 iii 7 iv 4
4 a
b
–3 –2 –1
0
1
2
3
c
4
5
5 a 64 m b 50 m
Area, volume and capacity
Mathletics Instant Workbooks – Series H
Copyright © 3P Learning
iv