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Student Book - Series H-2
Area, Volume and Capacity
Mathletics Instant
Workbooks
12
25
106
Area, volume and capacity
Student Book - Series H 2
Contents
Topics
Topic 1 - Area of a square __/__/__ Date completed
Topic 2 - Area of a rectangle __/__/__ Topic 3 - Area of a triangle __/__/__ Topic 4 - Composite areas __/__/__ Topic 5 - Volume of a cube __/__/__ Topic 6 - Volume of a rectangular prism __/__/__ Topic 7 - Volume of a triangular prism __/__/__ Topic 8 - Volume of prisms — miscellaneous __/__/__ Topic 9 - Capacity and volume __/__/__ Topic 10 - Problem solving with area, volume and capacity __/__/__
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
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 __/__/__
1
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 1: Area of a square
111EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
A r e a o f a s q u a r eEXCEL YEAR 7 MATHEMATICS
Ch. 9.1.1, p. 129
QUESTION 1 Draw a diagram for each of the squares (sides are given) and then find its area.
a 4 m b 12 m c 13 cm
________________________ _______________________ _________________________
d 25 m e 16 mm f 45 mm
________________________ _______________________ _________________________
QUESTION 2 Complete the following.
QUESTION 3 Find the area of each square.
a b c
______________________ ______________________ ______________________
d e f
______________________ ______________________ ______________________
g h i
______________________ ______________________ ______________________
erauqsfohtgnelediS aerA
a mc1
b mc2
c mc51
d mc52 2
e mc441 2
erauqsfohtgnelediS aerA
f mc927 2
g mc81
h mc526 2
i mc32
j mc982 2
3 cm
10 cm
11 cm
5 cm
14 cm
6 cm
7 cm
8 cm9 cm
CHAPTER 9
2
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 2: Area of a rectangle
112 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
A r e a o f a r e c t a n g l eEXCEL YEAR 7 MATHEMATICS
Ch. 9.1.1, p. 129
QUESTION 3 Find the area of each rectangle.
a b c
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
g h i
________________________ ______________________ ________________________
QUESTION 1 Draw a diagram for each of these rectangles and then find its area.
a length 10 cm, breadth 9 cm b length 13 cm, breadth 5 cm c length 16 m, breadth 8 m
________________________ ______________________ _________________________
d length 25 mm, breadth 9 mm e length 12 m, breadth 4 m f length 16 m, breadth 12 m
________________________ ______________________ _________________________
QUESTION 2 Complete the following.
htgneL htdaerB aerA
a m8 m6
b mc9 mc54 2
c mc12 mc8
d mc51 mc09 2
e m13 m551 2
htgneL htdaerB aerA
f m71 m402 2
g mc32 mc41
h mc21 mc291 2
i mm83 mm494 2
j mc62 mc056 2
20 cm
8 cm
15 cm
26 cm
6 cm
18 cm
6 cm10 cm
8 cm
35 cm5 cm
9 cm
4 cm
9 cm
6 cm
21 cm3 cm
12 cm
3
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 3: Area of a triangle
113EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
A r e a o f a t r i a n g l eEXCEL YEAR 7 MATHEMATICS
Ch. 9.1.2, p. 129
QUESTION 1
a A triangle has a base of 60 cm and a height of 25 cm. What is its area?
______________________________________________________________________________________
b A triangle has an area of 832 cm2 and a base length of 32 cm. Find its height.
______________________________________________________________________________________
c The area of a triangle is 42 m2 and its base is 6 m. Find its height.
______________________________________________________________________________________
QUESTION 2 Find the area of the triangles whose base and height are given. (All measurements are in cm.)
QUESTION 4 Find the area of each triangle. (All measurements are in cm.)
a b c
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
QUESTION 3 Complete the following. (All measurements are in cm.)
esaB thgieH aerA
a 8 6
b 61 11
c 22 02
esaB thgieH aerA
d 24 41
e 12 02
f 72 01
esaB thgieH foaerA ∆
a 91 4
b 21 06
c 81 8
esaB thgieH foaerA ∆
d 51 015
e 64 02
f 31 833
28
920
12
25
12
6
12
16
29
14
32
4
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
114 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
C o m p o s i t e a r e a sEXCEL YEAR 7 MATHEMATICS
Ch. 9.1.4, p. 130
QUESTION 2 Find the shaded area of each shape. (All measurements are in cm.)
a b c
________________________ ______________________ ________________________d e f
________________________ ______________________ ________________________
QUESTION 1 Find the area of each composite figure by dividing it into different shapes.(All measurements are in cm.)
a b c
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
g h i
________________________ ______________________ ________________________
5
15
5
8
9
42
24
30
12
10
10
20
4
10
18
30
12
6
6
12
30
30
50
32
1020
10
1215
10
20
8
20
415
30
1510
40
12
16
3
12
12
25
1511
99
12
12
48 3 12
26
10
35 35
60
60
Topic 4: Composite areas
5
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 5: Volume of a cube
115EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
V o l u m e o f a c u b eEXCEL YEAR 7 MATHEMATICS
Ch. 9.2, p. 134
QUESTION 3
a The volume of a cube is 729 cm3. What is the length of each edge?
______________________________________________________________________________________
b The volume of a cube is 2197 cm3. Find its side length.
______________________________________________________________________________________
QUESTION 1 Calculate the volume of each of the following cubes whose side length is given. Show all yourworking.
a 1 cm b 14 cm c 16 cm
________________________ ______________________ _________________________
________________________ ______________________ _________________________
d 5 m e 9 m f 17 m
________________________ ______________________ _________________________
________________________ ______________________ _________________________
g 18 cm h 20 m i 28 m
________________________ ______________________ _________________________
________________________ ______________________ _________________________
QUESTION 2 Find the volume of each cube. (All measurements are in metres.)
a b c
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
3
3
38
8
8
10
10
10
15
15
15 12
12
12
14
14
14
6
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 6: Volume of a rectangular prism
116 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
V o l u m e o f a r e c t a n g u l a r p r i s mEXCEL YEAR 7 MATHEMATICS
Ch. 9.2, p. 134
QUESTION 1 Find the volume of each rectangular prism whose dimensions are given below.(All measurements are in cm.)
QUESTION 3 Find the volume of each rectangular prism. (All measurements are in cm.)
a b c
________________________ ______________________ ________________________
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
________________________ ______________________ ________________________
QUESTION 2 Complete the following. (All measurements are in cm.)
htgneL htdaerB thgieH emuloV
a 21 8 7
b 9 5 7
c 21 8 5
htgneL htdaerB thgieH emuloV
d 41 7 8
e 61 9 01
f 01 5 4
htgneL htdaerB thgieH emuloV
a 81 21 9
b 82 02 21
c 8 9 639
htgneL htdaerB thgieH emuloV
d 9 7 657
e 01 8 008
f 8 7 6
15
7
8 12
7
4
10
6
5
20
15
14
12
10
98
10
8
7
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 7: Volume of a triangular prism
117EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
V o l u m e o f a t r i a n g u l a r p r i s mEXCEL YEAR 7 MATHEMATICS
Ch. 9.2, p. 134
QUESTION 1 Find the volume of each of the following triangular prisms whose dimensions are given below.(All measurements are in cm.)
QUESTION 3 Find the volume of each triangular prism. (All lengths are in cm, areas are in cm2.)
a b c
________________________ ______________________ ________________________
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
________________________ ______________________ ________________________
QUESTION 2 Complete the following. (All lengths are in cm, volumes are in cm3.)
aeraesaB thgieH emuloV
a 06 61
b 54 21
c 821 52
aeraesaB thgieH emuloV
d 69 04
e 54 21
f 021 63
aeraesaB thgieH emuloV
a 63 6
b 21 276
c 801 21
d 65 0041
aeraesaB thgieH emuloV
e 9 837
f 53 089
g 821 54
h 89 21
A = 40
16
A = 64
12
A = 80
11
5
12
30
8
1024
8 1060
8
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 8: Volume of prisms — miscellaneous
118 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
V o l u m e o f p r i s m s ( m i s c e l l a n e o u s )EXCEL YEAR 7 MATHEMATICS
Ch. 9.2, p. 134
QUESTION 1 Complete the following questions for the given solid.
a Find the area of the front rectangle.
_________________________________________________
b Find the area of the front triangle.
_________________________________________________
c Find the cross-sectional area.
_________________________________________________
d Find the volume of the solid.
______________________________________________________________________________________
QUESTION 3 Find the volume of each prism. (All measurements are in cm.)
a b c
________________________ ______________________ ________________________
d e f
________________________ ______________________ ________________________
QUESTION 2 Complete the following questions for the given solid.
a Find the number of faces.
__________________________________________________
b Find the number of vertices.
__________________________________________________
c Find the number of edges.
__________________________________________________
d Draw a line to divide it into a rectangular prism and a triangular prism.
e Find the total volume of the solid. _________________________________________________________
9 cm48 cm
30 cm
24 cm
15 cm
18 cm48 cm
30 cm
20 cm
8
624
20
12
8
12
12
12
14
A = 36
35
A = 240
45
A = 760
9
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 9: Capacity and volume
119EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
C a p a c i t y a n d v o l u m eEXCEL YEAR 7 MATHEMATICS
Ch. 9.3, p. 136
QUESTION 3
a A jug has a volume of 15 000 cm3. How many litres of water can it hold?
______________________________________________________________________________________
b A swimming pool holds 28 000 L of water. How many kilolitres is this?
______________________________________________________________________________________
c A bottle contains 38
of a litre of drink. How many millilitres is this?
______________________________________________________________________________________
A fish tank measures 90 cm × 70 cm × 25 cm.
d Find the volume of the tank in cm3. ________________________________________________________
e How many litres of water will the tank hold?__________________________________________________
QUESTION 1 Convert the following to the units given.
a 5000 mL = _____________ L b 5.125 L = ____________ mL c 6.7 kL = _____________ L
d 9.5 L = _____________ mL e 9.2 kL = _____________ L f 8.35 L = _____________ mL
g 2 kL = _____________ L h 6875 mL = ____________ L i 5153 mL = _____________ L
j 8540 mL = _____________ L k 8.56 L = ____________ mL l 3.6 kL = _____________ L
QUESTION 4 Find the volume of the following prisms and then find how many millilitres of liquid eachwould hold. Show your working.
a b c
________________________ ______________________ ________________________
________________________ ______________________ ________________________
QUESTION 2 Convert the following to the units given.
a 1000 mm3 = ___________ cm3 b 1 mL = ___________ cm3 c 9640 cm3 = _____________ L
d 8000 L = ___________ kL e 3000 mm3 = ___________ cm3 f 16 000 cm3 = ____________ L
g 1000 cm3 = ___________ L h 5000 cm3 = ___________ L i 8560 mm3 = ____________ cm3
j 1 000 000 cm3 = __________ m3 k 6483 mL = ___________ cm3 l 9672 L = _____________ cm3
8 cm
8 cm
8 cm15 cm
9 cm
6 cmA = 50 cm2
30 cm
10
Area, volume and capacity
Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Topic 10: Problem solving with area, volume and capacity
120 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
P r o b l e m s o l v i n g w i t h a r e a , v o l u m e a n d c a p a c i t yEXCEL YEAR 7 MATHEMATICS
Ch. 9.5, p. 140
1 A rectangular tank with dimensions 95 cm × 30 cm × 35 cm is filled with water. How much water will ithold?
______________________________________________________________________________________
2 A dripping tap loses 8 mL of water every 30 seconds. How much water will be lost in 2 hours?
______________________________________________________________________________________
3 Find the side length of a cube that has a volume of 1728 cm3.
______________________________________________________________________________________
4 Madeleine Brunsdon drank 58
of a litre of milk. How many millilitres is this?
______________________________________________________________________________________
5 Thirty-five children went on a picnic. Each child drank a can of drink containing 375 mL. How many litreswas this?
______________________________________________________________________________________
6 A rectangular prism has dimensions 5 cm x 8 cm x 10 cm.
a What is its volume? __________________________________________________________________
b What would be its volume if all the dimensions were doubled. ________________________________
7 Find the area of a photograph that is 50 cm long and 30 cm wide.
______________________________________________________________________________________
8 The perimeter of a square is 48 cm. Find its area.
______________________________________________________________________________________
9 A triangle has an area of 240 cm2. If the base of the triangle is 40 cm long, find its height.
______________________________________________________________________________________
10 Jasbir drank 0.875 litres of milk. How many millilitres is this?
______________________________________________________________________________________
11 One of the faces of a cube has an area of 81 cm2. What is the volume of the cube?
______________________________________________________________________________________
12 Find the total area of the four walls of a room 12 m long, 10 m wide and 4 m high.
______________________________________________________________________________________
121EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
TOPIC TEST PART A
1 How many mm2 in 5 cm2?
A 5 B 50 C 500 D 5000
2 How many mL in 8.5 L?
A 85 B 850 C 8500 D 85 000
3 How many kL in 8 m3?
A 8 B 80 C 800 D 8000
4 How many cm3 in 3 m3?
A 3000 B 30 000 C 300 000 D 3 000 000
5 The volume of a rectangular prism 6 cm × 8 cm × 10 cm equals
A 60 cm3 B 120 cm3 C 240 cm3 D 480 cm3
6 The capacity of a drinking glass would be closest to
A 30 mL B 300 mL C 3000 mL D 3500 mL
7 If the volume of a cube is 64 cm3, then its side length is
A 2 cm B 4 cm C 8 cm D 16 cm
8 A rectangle is 20 m long and 9 m wide. Its area equals
A 60 m2 B 81 m2 C 180 m2 D 400 m2
9 The area of a square of side length 13 cm is
A 13 cm2 B 169 cm2 C 130 cm2 D 52 cm2
10 What is the cost of tiling a floor, 9 m by 3 m, at $20 per square metre?
A $450 B $504 C $540 D $527
Marks
1
1
1
1
1
1
1
1
1
1
Area, volume and capacity
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
121EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
TOPIC TEST PART A
1 How many mm2 in 5 cm2?
A 5 B 50 C 500 D 5000
2 How many mL in 8.5 L?
A 85 B 850 C 8500 D 85 000
3 How many kL in 8 m3?
A 8 B 80 C 800 D 8000
4 How many cm3 in 3 m3?
A 3000 B 30 000 C 300 000 D 3 000 000
5 The volume of a rectangular prism 6 cm × 8 cm × 10 cm equals
A 60 cm3 B 120 cm3 C 240 cm3 D 480 cm3
6 The capacity of a drinking glass would be closest to
A 30 mL B 300 mL C 3000 mL D 3500 mL
7 If the volume of a cube is 64 cm3, then its side length is
A 2 cm B 4 cm C 8 cm D 16 cm
8 A rectangle is 20 m long and 9 m wide. Its area equals
A 60 m2 B 81 m2 C 180 m2 D 400 m2
9 The area of a square of side length 13 cm is
A 13 cm2 B 169 cm2 C 130 cm2 D 52 cm2
10 What is the cost of tiling a floor, 9 m by 3 m, at $20 per square metre?
A $450 B $504 C $540 D $527
Marks
1
1
1
1
1
1
1
1
1
1
Area, volume and capacity
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
11Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Area, volume and capacityTopic 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
Time allowed: 15 minutes Total marks = 12
Marks
122 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
Total marks achieved for PART A
Marks
1
1
1
1
15
1
11 How many tiles, each measuring 10 cm × 10 cm, are needed for a floor 6 m × 6 m?
A 3600 B 60 000 C 30 000 D 36
12 What is the area of a square, in cm2, that has a perimeter of 32 cm?
A 32 B 60 C 64 D 72
13 What is the perimeter, in cm, of a square that has an area of 49 cm2?
A 14 B 21 C 24 D 28
14 How many square centimetres are in 1 square metre?
A 100 B 1000 C 10 000 D 100 000
1525
of one litre equals
A 400 mL B 500 mL C 550 mL D 600 mL
122 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
Total marks achieved for PART A
Marks
1
1
1
1
15
1
11 How many tiles, each measuring 10 cm × 10 cm, are needed for a floor 6 m × 6 m?
A 3600 B 60 000 C 30 000 D 36
12 What is the area of a square, in cm2, that has a perimeter of 32 cm?
A 32 B 60 C 64 D 72
13 What is the perimeter, in cm, of a square that has an area of 49 cm2?
A 14 B 21 C 24 D 28
14 How many square centimetres are in 1 square metre?
A 100 B 1000 C 10 000 D 100 000
1525
of one litre equals
A 400 mL B 500 mL C 550 mL D 600 mL
12Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
Area, volume and capacityTopic Test PART A continued
15Total marks achieved for PART A
Marks
Total marks achieved for PART B 15
Marks
Area, volume and capacityTopic Test PART B
13Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning
This part consists of 15 questions Each question is worth 1 mark Write answers in the answers-only column
123EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
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
Time allowed: 15 minutes Total marks = 15
15
Questions Answers only
1 Find the volume of a cube of side 9 cm. ___________________
2 Find the volume of a rectangular prism 8 cm × 9 cm × 10 cm. ___________________
3 Find the volume of a triangular prism with a triangular base areaof 50 cm2 and height 12 cm. ___________________
4 How many litres in 7000 mL? ___________________
5 The volume of a cube is 3375 cm3. Find its edge. ___________________
6 A rectangular prism has dimensions 4 cm by 5 cm by 6 cm.Find its volume. ___________________
7 If each of the dimensions given in Question 6 are doubled,what would be the prism’s volume? ___________________
8 Find the area of a rectangle 12 m × 8 m. ___________________
9 Find the side length of a square whose area is 289 cm2. ___________________
10 If the area of a triangle is 80 cm2 and its base is 16 cm,find the height of the triangle. ___________________
11 There are 32 students in a class. Each student drinks 250 mL of milk.How many litres is this? ___________________
12 Find the area of a triangle with base 35 mm and height 60 mm. ___________________
13 Find the number of mm3 in 1 cm3. ___________________
14 How many millilitres are in 3 kilolitres? ___________________
15 A jug has a volume of 9000 cm3. How many litres of water can it hold? ___________________
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Area, volume and capacity
123EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
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
Time allowed: 15 minutes Total marks = 15
15
Questions Answers only
1 Find the volume of a cube of side 9 cm. ___________________
2 Find the volume of a rectangular prism 8 cm × 9 cm × 10 cm. ___________________
3 Find the volume of a triangular prism with a triangular base areaof 50 cm2 and height 12 cm. ___________________
4 How many litres in 7000 mL? ___________________
5 The volume of a cube is 3375 cm3. Find its edge. ___________________
6 A rectangular prism has dimensions 4 cm by 5 cm by 6 cm.Find its volume. ___________________
7 If each of the dimensions given in Question 6 are doubled,what would be the prism’s volume? ___________________
8 Find the area of a rectangle 12 m × 8 m. ___________________
9 Find the side length of a square whose area is 289 cm2. ___________________
10 If the area of a triangle is 80 cm2 and its base is 16 cm,find the height of the triangle. ___________________
11 There are 32 students in a class. Each student drinks 250 mL of milk.How many litres is this? ___________________
12 Find the area of a triangle with base 35 mm and height 60 mm. ___________________
13 Find the number of mm3 in 1 cm3. ___________________
14 How many millilitres are in 3 kilolitres? ___________________
15 A jug has a volume of 9000 cm3. How many litres of water can it hold? ___________________
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Area, volume and capacity
123EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
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
Time allowed: 15 minutes Total marks = 15
15
Questions Answers only
1 Find the volume of a cube of side 9 cm. ___________________
2 Find the volume of a rectangular prism 8 cm × 9 cm × 10 cm. ___________________
3 Find the volume of a triangular prism with a triangular base areaof 50 cm2 and height 12 cm. ___________________
4 How many litres in 7000 mL? ___________________
5 The volume of a cube is 3375 cm3. Find its edge. ___________________
6 A rectangular prism has dimensions 4 cm by 5 cm by 6 cm.Find its volume. ___________________
7 If each of the dimensions given in Question 6 are doubled,what would be the prism’s volume? ___________________
8 Find the area of a rectangle 12 m × 8 m. ___________________
9 Find the side length of a square whose area is 289 cm2. ___________________
10 If the area of a triangle is 80 cm2 and its base is 16 cm,find the height of the triangle. ___________________
11 There are 32 students in a class. Each student drinks 250 mL of milk.How many litres is this? ___________________
12 Find the area of a triangle with base 35 mm and height 60 mm. ___________________
13 Find the number of mm3 in 1 cm3. ___________________
14 How many millilitres are in 3 kilolitres? ___________________
15 A jug has a volume of 9000 cm3. How many litres of water can it hold? ___________________
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Area, volume and capacity
Instructions This part consists of 4 questions Each question is worth 5 marks Show all necessary
Time allowed: 20 minutes Total marks = 20
Questions
Total marks achieved for PART C 20
Marks
Area, volume and capacityTopic Test PART C
14Area, volume and capacityMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning124 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
Total marks achieved for PART C
TOPIC TEST PART C
Marks
Instructions • This part consists of 4 questions
• Each question is worth 5 marks• Show all necessary working
Time allowed: 20 minutes Total marks = 20
20
1 Find the area of the following shapes.
a b
__________________ _________________
A rectangular garden, 8 m by 4 m, is to have a 0.5 m path around its border. Find:
c the area of the garden _______________________________________________________
d the total area of the garden and path ___________________________________________
e the area of the path _________________________________________________________
2 Complete the following.
a 2 L = _______________ mL b 8000 L = _______________ kL
c 1 m3 = _______________ kL d 1 L = _______________ cm3
e 8500 mL = _______________ L
3 What is the volume of these prisms?
a b
___________________ __________________
c What is the volume of a cube with an edge of 5 cm?__________________
d What is the volume of a rectangular prism 3 m × 5 m × 7m? _______________
e What is the capacity of a rectangular prism 2 m × 3 m × 5 m? ______________
4 Complete the following.
a 12 500 mL = _______________ L b 3.85 kL = _______________ L
c 8.75 L = _______________ mL d 5.625 kL = _______________ mL
e 53 L = _______________ cm3
5
5
5
5
Area, volume and capacity
8 cm
8 cm
4 cm
2 cm9 cm
9 cm
9 cm
18 cm
9 cm
124 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Area, volume and capacity
Total marks achieved for PART C
TOPIC TEST PART C
Marks
Instructions • This part consists of 4 questions
• Each question is worth 5 marks• Show all necessary working
Time allowed: 20 minutes Total marks = 20
20
1 Find the area of the following shapes.
a b
__________________ _________________
A rectangular garden, 8 m by 4 m, is to have a 0.5 m path around its border. Find:
c the area of the garden _______________________________________________________
d the total area of the garden and path ___________________________________________
e the area of the path _________________________________________________________
2 Complete the following.
a 2 L = _______________ mL b 8000 L = _______________ kL
c 1 m3 = _______________ kL d 1 L = _______________ cm3
e 8500 mL = _______________ L
3 What is the volume of these prisms?
a b
___________________ __________________
c What is the volume of a cube with an edge of 5 cm?__________________
d What is the volume of a rectangular prism 3 m × 5 m × 7m? _______________
e What is the capacity of a rectangular prism 2 m × 3 m × 5 m? ______________
4 Complete the following.
a 12 500 mL = _______________ L b 3.85 kL = _______________ L
c 8.75 L = _______________ mL d 5.625 kL = _______________ mL
e 53 L = _______________ cm3
5
5
5
5
Area, volume and capacity
8 cm
8 cm
4 cm
2 cm9 cm
9 cm
9 cm
18 cm
9 cm