Expressions and Substitutions
Simplifying Expressions and Creating formulas
Area Cubes and Cuboids
Volume Cubes and Cuboids
Circumference and Area of Circles
100
Write down the value of each term:
1) 4n where n=2
2) 4n where n=5
1) What is 8?
2) What is 20?
100
Simplify each expression:
1) a+a
2) 4q+q-q
3) 4t+3t-5t
What is
1) 2a
2) 4q
3) 2t
100
Find the surface area of the cubes above.
A1=1x1x6= 6cm2
A2= 2x2x6=24cm2
A3=3x3x6=54cm2
100
What is the formula to calculate the volume of 
rectangular prisms (cubes and cuboids)?
What is L*W*H?
100
What is the formula for the Circumference of a Circle?
What is
C=2πr or 2d
where
π=3.14
r= radius
d= diameter
200
Write down the value of each term:
1) 3(n+2) where n=4
2) 3(n+2) where n=8
1) What is 18?
2) What is 30?
200
Simplify the following expression:
9a+7b-8a-b
What is
9a-8a=1a=a
7b-b=6b
a+6b
200
What is the surface area of this cuboid?
A = 3cmx4cmx2= 24cm2
A = 7cmx3cmx2=42cm2
A = 7cmx4cmx2= 56cm2
Total area= 122cm2
200
What is the volume of a cuboid with the following dimensions? L= 12km , W= 3km, H=10km
What is 360 km3
200
What is the formula for the area of a circle?
A= πr2
π=3.14
r= radius
d= diameter
300
Write down the value of each term:
1) (n-1)2 where n=5
2) (n-1)2 where n=9
1) What is 16?
2) What is 64?
300
Simplify the following expression:
7t-8-6t-6
What is
7t-6t=t
-8-6=-14
t-14
300
Find the surface area of this cuboid?
Asquares= 6cmx6cmx2=72cm2
Arectangles=10cmx6cmx4= 240cm2
Total Area=240+72=312cm2
300
What is the volume of a cube with a length of 5cm?
What is 53=5x5x5=125cm3
300
Find the Circumference of the following circle: 
d= 5x2=10cm
What is C= 3.14x10=31.4cm
400
Write down an expression for the perimeter in cm of each rectangle.
i) What is P=x+x+8+8
P= 2x+16
ii)What is P=y+y+2.5+2.5
P=2y+5
iii) What is P=w+w+45+45
P= 2w+90
400
A mechanic uses the formula:
c=25t+20
where c is the cost in euros and t is the time in hours to complete the work.
How much does the mechanic charge for 3 hours of work?
What is
c= (25x3)+20
c= 75+20
C= 95euros
The mechanic charges 95 euros for 3 hours.
400
Find the area of the 3D compound shape below:
What is
A=(3x2)+(1x2x6)+(5x2)+(3x1x2)+(5x1x2)
A=6+12+10+6+10
A= 44cm2
400
What is the volume of a cuboid with the following dimensions?
L= 5 cm, W= 2L, and H= W-2
L=5cm
W=10cm
H=8cm
V=5x10x8=400
What is 400 units3
400
What is the area of the following circle?
A= 3.14x82
A= 3.14x64
A= 200.96cm2
500
The width of this rectangle is w cm and the length is
w+1.
a) Work out the perimeter if w=10cm
b) Write down as simply as possible a formula for the rectangle's perimeter.
c) Work out the value of P if w=30cm
a) P=10+10+11+11=42cm
b) P=w+w+w+1+w+1
P= 4w+2
c) P=(4x30)+2
P= 120+2
P= 122cm
500
These 2 cuboids A and B have the same volume. Work out the value of x marked on Cuboid B. 
Volume A = 8x2x5=80cm3
Volume B = 4x2x (x) = 80cm3
(x)=10cm
Check: 4x2x10=80cm3
500
Find the Circumference (Perimeter) and Area of the semi circle below:
d=14cm
C=3.14x14cm
C=43.96cm
BUT it's a half circle so we divide the answer by 2
C=43.96/2=21.98cm
AND don't forget the diameter
C= 21.98+14= 35.98cm
A=3.14x72
A=3.14x49
A= 153.86cm2
BUT it's a half circle so we divide by 2
A = 153.86/2
A= 76.93cm2