Vocabulary
the amount of space inside a shape
area
In the metric system, the basic unit for length is...
metre
Find the perimeter of a triangle with sides 3 cm, 5 cm and 7 cm.
P = 3 + 5 + 7
= 15 cm
What is the formula for finding the area of a rectangle?
A = lw
Area equals length times width.
Simplify
5a+7a-10a
2a
the distance around the outside of a shape
perimeter
23 mm = __ cm
2.3
Find the perimeter of a rectangle with length 10 km and width 5 km.
P = 10 + 5 + 10 + 5
=30 km
A rectangular soccer field is 100 m long and 50 m wide. Find its area.
A = 100 x 50
= 5000 m2
Factorise
15x-5x2
5x(3-x)
a shape that is made up of more than one simple shape
composite shape
4.6 m = __ cm
460
An equilateral triangle has all sides the same length. If each side is 15.5 mm, find its perimeter.
P = 15.5 x 3
= 46.5 mm
What is a hectare?
A unit of area that is equivalent to 100 x 100 metres, or 10 000 m2
What is a constant?
7x+10x3-9x+10-13x-18
-8
the distance across the centre of a circle
diameter
Arrange from smallest to largest:
0.02 km, 25 m, 160 cm, 2100 mm
160 cm, 2100 mm, 0.02 km, 25 m
1.6 m, 2.1 m, 20 m, 25 m
A rectangular paddock is to be fenced on all sides. It has a length of 350 m and a width of 150 m. If fencing costs $25 per metre, find the cost of fencing required.
P = 350 + 150 + 350 + 150
= 1000 m
Cost = 25 x 1000
= $25 000
A square has a perimeter of 20 cm. Find its area.
The side length is 5 cm.
Area = 5 x 5
= 25 cm2
Simplify
2x xx (3xy)/((4x^2)^2 xx 5y^2 )
3/40x2y
a four-sided shape with opposite sides parallel (NOT necessarily a rectangle!)
parallelogram
Non Calculator)
520m^2 = ________________mm^2
0.00000052
ALGEBRA SURPRISE!
A square has perimeter P. Write an expression for its side length.
P / 4
I need to paint a wall that is 12 m long and 4 m high. Two coats of paint are needed. Each litre of paint covers 16 m2.
How many litres of paint will I need to purchase?
Area of the wall = 12 x 4
= 48 m2
Paint needed for each coat = 48 รท 16
= 3 L
Paint needed for two coats = 3 x 2
= 6 L
(Non Calculator)Consider the expression
x^((x+1)^((x+2))
This is called a power tower.
What is the value of the last digit of this
expression when x = 2?
2