Measurement - Maths Centre

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The NZ Centre of Mathematics
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Name: ___________________________________ Date: ___________
Area 1 : Rectangles - Measuring Edges
Measure the edges of the rectangles below, and label them, then
use your answers to calculate the area of each rectangle in cm2.
Enter your answer in the space provided.
Shape
Number
Area of
Shape
1
1
2
2
3
4
5
6
7
8
3
5
6
4
8
9
7
10
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9
10
Name: ___________________________________ Date: ___________
Area : Rectangles Using Formula 1
Calculate the areas of the following rectangles using the formula:
Area = Length X Width
Write your answers in the spaces provided.
Remember to include the correct unit of measurement, i.e. cm2 or m2.
Rectangle
Number
Area
1
2
3
4
5
6
7
8
9
10
These rectangles are not drawn to scale.
6 cm
Number 1
4 cm
5 cm
2 cm
Number 3
Number 2
3cm
8 cm
3 cm
9 cm
5 cm
Number 5
Number 4
5 cm
6m
5m
2m
Number 7
4m
Number 6
Number 8
5 cm
Number 9
6 cm
Number 10
8 cm
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7 cm
4 cm
5 cm
To calculate the area/perimeter of compound shapes.
10cm
2cm
7cm
15cm
10cm
8cm
5cm
10cm
11cm
3cm
5cm
9cm
5cm
6cm
5cm
2cm
2cm
3cm
9cm
3cm
4cm
8cm
5cm
8cm
5cm
12cm
The NZ Centre of Mathematics
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3cm
Perimeter and Area Homework
Find the perimeter and area of these compound shapes.
1.
Area 1 = ____
Area 2 = ____
2.
Area 1 = ____
Area 2 = ____
Total Area
__________
Total Area
__________
Perimeter _____cm
3.
Perimeter _____cm
4.
Area 1 = ____
Area 2 = ____
Area 1 = ____
Area 2 = ____
Total Area
__________
Total Area
__________
Perimeter _____cm
5.
Perimeter _____cm
6.
Area 1 = ____
Area 2 = ____
Area 1 = ____
Area 2 = ____
Total Area
__________
Total Area
__________
Perimeter _____cm
7.
Perimeter _____cm
8.
Area 1 = ____
Area 2 = ____
Area 1 = ____
Area 2 = ____
Total Area
__________
Total Area
__________
Perimeter _____cm
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Perimeter _____cm
Egyptian Area
The Tomb of Tyti – Big Group
43m
6m
7m
15m
Side chamber 1 =
Entrance =
Side Chamber 2 =
Rear annex =
Burial chamber =
Entrance Corridore =
48m
8m
13m
9m
6m
17m
Find the area of
The following rooms
Remember l x b and m²
16m
What is the TOTAL area of this tomb?
8m
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Egyptian Area
The Tomb of Amenhotep III (and possibly Queen Tiy)
on the West Bank at Luxor – Big Group
87m
8m
68m
13m
18m
5m
9m
3m
18m
3m
23m
17m
8m
9m
Find the area of the
following rooms
Remember l x b and m²
8m
6m
3m
8m
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Entrance =
Well =
Burial chamber=
Crypt=
Antechamber=
Tiy chamber=
Corridor 1 =
Two pillared chamber=
Sitamun Chamber=
Egyptian Area
The Tomb of Tyti – Small Group
3m
6m
2m
5m
Side chamber 1 =
Entrance =
Side Chamber 2 =
Rear annex =
Burial chamber =
Entrance Corridore =
10m
5m
3m
9m
2m
7m
Find the area of
The following rooms
Remember l x b and m²
6m
5m
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Egyptian Area & Perimeter - Big Group
Using the measurements given on the plan
below – calculate the area of the tomb.
155m
174m
6m
B
A
6m
Show your calculation as a sum!!
684m
D
E
Area of A = L x B =
8m
7m
Remember to use
172m
F
8m
H
68m
m²
8m
49m
Using the measurements given on the plan below – calculate
the total PERIMETER of the tomb.
1. The Pharaoh wants to put up a
4m
wooden strip around the walls of his
tomb. If 1m of wood costs $8, how
2m
2m
1m
1m
1m
1m
3m
much will it cost to buy the wooden
strips needed for this job?
3m
2. How much change will the
Pharaoh get if he pays with $400.00
10m
3. The Pharaoh employs a slave to
do the job. It takes him 7 hours.
The Pharaoh pays him $3.40 per
10m
hour. How much does the slave get
paid in total?
4. Show the notes/coins the
7m
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Pharaoh would give to the slave.
Egyptian Area & Perimeter – Small Group
Using the measurements given on the plan
below – calculate the area of the tomb.
5m
4m
6m
B
A
6m
Show your calculation as a sum!!
14m
Area of A = L x B =
D
E
3m
5m
Remember to use
12m
F
2m
H
8m
m²
2m
9m
Using the measurements given on the plan below – calculate
the total PERIMETER of the tomb.
1. The Pharaoh wants to put up a
wooden strip around the walls of his
4m
tomb. If 1m of wood costs $2, how
2m
2m
1m
much will it cost to buy the wooden
1m
1m
1m
3m
strips needed for this job?
3m
2. How much change will the
Pharaoh get if he pays with
$200.00?
6m
3. The Pharaoh employs a slave to
do the job. It takes him 7 hours.
6m
The Pharaoh pays him $2.00 per
hour. How much does the slave get
paid in total?
7m
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4. Show the notes/coins the
Pharaoh would give to the slave.
Table of Measurements and Area
Complete the table below by carefully estimating and then measuring the
listed objects. Find 3 for yourself to measure. Be careful to select the
appropriate measuring tool too!. When you have finished, try to convert
your answers into metres or centimetres. E.g 100cm2 = 1.0m2
Item
Desk
Length
Estimate Actual
= 105cm = 111cm
Classroom
Estimate Actual
Door
=
=
Window
Estimate Actual
=
=
Exercise Book Estimate Actual
=
=
Classroom
Estimate Actual
=
=
Hall
Estimate Actual
=
=
Netball Court Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Width
Estimate Actual
= 50cm
= 55cm
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Estimate Actual
=
=
Total
Estimate
= 5250cm
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Estimate
=
Area
Actual =
6105cm2
Actual =
Actual =
Actual =
Actual =
Actual =
Actual =
Actual =
Actual =
Actual =
Actual =
Challenge: How many classroom doors would fit on the netball court?
Can you explain the method you used to find your answer?
The NZ Centre of Mathematics
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To find the area of triangles.
1.
2.
(Triangles not drawn to
scale)
12cm
3.
4cm
4cm
8cm
4cm
3cm
7cm
4.
5.
11cm
9cm
6.
8cm
12cm
10cm
7.
9cm
8.
8cm
9.
7cm
12cm
14cm
5cm
10.
12.
11.
6cm
8cm
9cm
9cm
7cm
6cm
The NZ Centre of Mathematics
www.mathscentre.co.nz
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