Access 3
Homework
Chapter 17
Properties
of Shapes
Exercise 17.1
1.
2.
DO NOT WRITE ON THE BOOKLET
How many lines of symmetry does each shape have ?
a
b
c
d
e
f
g
h
In your homework jotter, make a neat drawing of the shapes shown below and mark on
them any lines of symmetry they may have.
a
b
c
d
e
f
g
h
©TeeJay Publishers 2008
page 53
Access 3 - Ch 17 - Properties of Shapes
Exercise 17.2
COPY each shape into your squared paper jotter.
Draw the other half using the dotted line as a line of symmetry.
1.
2.
3.
Exercise 17.3
1.
a Draw a rectangular tile measuring 6 boxes by 4 boxes.
b Surround it with similar rectangles to show that this rectangle tiles.
2.
Prove by drawing at least 8 of each of these
two shapes that one of them tiles and the
other does not.
(Tracing each tile might help).
a
b
Exercise 17.4
1.
Write down the areas of the two shapes shown below :a
b
1 cm2
1 cm
1 cm
continued
©TeeJay Publishers 2008
page 54
Access 3 - Ch 17 - Properties of Shapes
2.
Write down the shaded area (in cm2) of each of these shapes :–
a
b
c
Exercise 17.5
1.
Cube, Cuboid, Cone, Cylinder, Sphere, Hemisphere, Triangular prism, Square pyramid.
Name each of the following 3-dimensional shapes :-
2.
a
b
c
d
e
f
g
h
Which mathematical shapes can you see here ?
a
©TeeJay Publishers 2008
b
page 55
Access 3 - Ch 17 - Properties of Shapes
Exercise 17.6
1.
Write down the volume of each of these shapes. Each small cube has a volume of 1 cm3.
a
2.
b
c
Count the number of cubes on the top surface.
Now calculate and write down the volume of each of the shapes in cubic centimetres.
a
b
c
5 cm
8 cm
Exercise 17.7
1.
To find the perimeter of a triangle you use the rule :ADD THE LENGTHS OF ITS 3 SIDES TOGETHER
7 cm
Find the perimeter of each of these triangles :a
b
8 cm
5 cm
Use the rule :-
14 cm
9 cm
9·5 cm
10 cm
2.
c
4 cm
14 cm
AREA OF RECTANGLE = LENGTH x BREADTH
to find the area of these rectangles in sqare centimetres :a
b
5 cm
32 cm
8 cm
20 cm
©TeeJay Publishers 2008
page 56
Access 3 - Ch 17 - Properties of Shapes
Revision Exercise
1.
How many lines of symmetry do each of these shapes have ?
a
2.
b
c
Copy these two shapes on to your squared paper jotter.
Complete the drawings so that the dotted line is a line of symmetry.
a
3.
b
Write down the area (....cm2) of each shape below :–
a
4.
b
c
Write down the volume of each shape. Each cube is 1 cm3.
a
5.
d
b
c
The formula for finding the VOLUME of a box is :VOLUME = LENGTH x BREADTH x HEIGHT
5 cm
Find the Volume of this box.
10 cm
©TeeJay Publishers 2008
page 57
3 cm
Access 3 - Ch 17 - Properties of Shapes