Length
Area
Volume/Capacity
Pythagoras' Theorem
Party mix
100
Perimeter is
the total length of the outside of a shape
100
Area is
the amount of space inside a 2D shape.
100
Volume is
the amount of 3D space that an object occupies.
100
C2 = a2+ ____
C2 = a2+b2
100
Mr Halmai's favourite sport is
basketball
200
Convert 800cm to m
To convert cm to m, divide the number by 100.
800/100 = 8m
200
The formula used to find the area of a triangle
1/2 * base * height
200
To find the volume of a 3D prism, multiply the area of the 2D shape by the _______ of the prism.
depth/height
200
What is the value of the hypotenuse in the below triangle?
The hypotenuse is the longest side of a right angled triangle and is always opposite the right angle.
Therefore, the value of the hypotenuse in this triangle is 110.
200
What fraction of the whole circle is this sector?
A circle is 360 degrees
This sector is 120 degrees
120/360 = 1/3
Therefore, this sector is 1/3 of the whole circle.
300
Convert 3140000 m2 to km2
To convert from m2 to km2, divide the number by 10002
3140000/10002 = 3.14 km2
300
A circle has a radius of 5m. Find the area of the circle correct to 2 decimal places.
Area = pi * r2
Area = pi *52
Area = 78.54m2
300
Find the volume of the following shape
V = Area * depth
V = length * base * height
V = 5 * 7 * 9
V = 315m2
300
Find the length of the missing side in the below triangle:
c2 = a2+b2
c2 = 42+32
*Missing step
c = 5cm
300
In what year did Mr Halmai graduate TVAC?
2019
400
Find the perimeter of the below shape
5+5+9+3+10+12= 44m
400
Find the area of this shape
A = 1/2 * 5 * (6+14)
A = 50cm2
400
Find the volume of the following shape.
V = Area * depth
V = 1/2 * base * height * depth
V = 1/2 * 3 * 4 * 8
V = 48cm2
400
Determine whether the following three numbers are pythagorean triples: 19, 180, 181
c2 = a2+b2
1812= 1802+192
32671 = 32671
LHS = RHS
Therefore, yes, 19, 180 and 181 are pythagorean triples.
400
The volume of the cylinder to the nearest whole number is:
V = Area of circle * height
V = pi * r2 * height
V = pi * 10 * 5
V = 157 cm3
500
If the perimeter of this quadrilateral is 17 cm the value of x must be:
17 = 3+6+2x
17 = 9+2x
-9 -9
8 = 2x
4 = x
Therefore, x = 4cm
500
Find the area of the below sector
A = (120/360) * pi * 42
A = 16.76 cm2
500
The capacity of a container that is a rectangular prism 50cm long, 20cm broad and 8cm deep is:
V = Area * depth
V = l * b * h
V = 50 * 20 * 8
V = 8000cm2
1L = 1000cm2
8000/1000 = 8L
500
Find the value of x in the below triangle correct to 2 decimal places:
b2= c2-a2
b2= 142-92
*Missing step
b = 10.72
500
Draw the 3D shape described in the situation below.
Bob is building a ramp to the top of a verandah. The verandah is 70cm off the ground. The slope from the top of the ramp to the ground is 3m. The depth of the ramp is 1m.