1. E3 Revision www.mathsrevision.com Revision Area
Revision Weight and Volume
Revision Scale Drawings & Angles
Revision Triangular and square numbers
Revision Patterns
Revision Fractions and %’s and Ratio’s

2. General Jack’s Carpets
Problem…
General Jack’s Carpets
How much for this one? ?
Only £5 a square metre!

3. How much for 18 square metres?
Problem… 1m 1m
= 1 square metre
6 m
6 square metres
3 m
6 square metres
6 square metres
3 rows of 6 squares
= 3 x 6
= 18 square metres
18 x £5 = £90
How much for 18 square metres?

4. 6 3 Area of a rectangle 6 x 3 = 18 m² Area = length x breadth 6
x 3
= 18 m²
Area =
length
x breadth

5. Example 1 11 cm 6 cm Area = length x breadth A = l x b A = 11 x 6
A = 66 cm²
Find the area of
the rectangle

6. right-angled triangle
Area of a
right-angled triangle
4 cm
7 cm
Area of rectangle
= l x b
= 7 x 4
= 28 cm²
Area of triangle
= ½ x Area of rectangle
= ½ x 28
= 14 cm²

7. Example 1 10 cm 15 cm Area Δ=½ x base x height AΔ =½ x b x h
AΔ = ½ x 15 x 10
10 cm
AΔ = 75 cm²
15 cm
Find the area of
the triangle

8. Composite shapes
10 cm
6 cm ? ?
3 cm
13 cm

9. Composite shapes www.mathsrevision.com Area (1) = l x b = 10 x 6
10 cm
6 cm
(1)
6 cm ?
(2)
3 cm
Area (1)
= l x b
= 10 x 6
= 60 cm²
Area (2)
= ½ x b x h
= ½ x 3 x 6
= 9 cm²
Area of shape
= (1) + (2) =
= 69 cm²

10. Example 1 Area (1)= l x b =15 x 8 = 120 cm² Area (2) = l x b =9 x 3?
8cm
(1)
Area (2) = l x b
=9 x 3
= 27 cm²
(2)
Area of shape =
(1) + (2) = ?
9cm
= 147 cm²
Find the area of
the shape

11. Example 2 Area (1)= l x b =20 x 12 = 240 cm² Area (2) = l x b =10 x 6
Area of shape =
(1) – (2) =
(1)
= 180 cm²
Find the area of
the shape

12. Compiled by Mr. Lafferty Maths Dept.
Volume of a cuboid
3cm
4cm
6cm
18 cubes fit the base.
= 1 centimetre cube = 1 cm³
4 layers of 18 cubes
= 4 x 18
= 72 centimetre cubes
= 72 cm³
20-Sep-18
Compiled by Mr. Lafferty Maths Dept.

13. Compiled by Mr. Lafferty Maths Dept.
A short cut !
3cm
4cm
6cm
height
Area of rectangle
breadth
length
Volume = 6
x 3
x 4
= 72 cm³
Volume =
length
x breadth
x height
20-Sep-18
Compiled by Mr. Lafferty Maths Dept.

14. Compiled by Mr. Lafferty Maths Dept.
Example 1
Working
Volume = l x b x h
V = 18 x 5 x 27
Heilander’s
Porridge Oats
V = cm³
27cm
5 cm
18 cm
20-Sep-18
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Example 2
Working
Volume = l x b x h
How many of the small
cubes fit into the big
cuboid.
V = 5 x 5 x 5
V = 125 cm³
5 cm
Volume = l x b x h
V = 10 x180 x 5
V = cm³
10 cm
5cm
180 cm
9000 ÷ 125 = 72 cubes
20-Sep-18
Compiled by Mr. Lafferty Maths Dept.

16. Compiled by Mr. Lafferty Maths Dept.
Example 2
Working
Cube = 2.5g
If each cube weighs 2.5g
How much does the big
cuboid weigh in :
(i) Grams
(ii) kg
(ii) Tonnes
Cuboid = 72 x2.5g
Weight = 180 g
2.5g
= 180 ÷1000 = 0.18Kg
= 0.18 ÷ 1000 = T
10cm
5cm
180cm
20-Sep-18
Compiled by Mr. Lafferty Maths Dept.

17. Scaled Drawings Definition A scale of www.mathsrevision.com 1 cm = 2m
This simply means for every 1cm measured on a
drawing this represents 2m in real-life.
20-Sep-18
Created by Mr. Lafferty Maths Dept.

18. Scaled Drawings 4cm www.mathsrevision.com 2cm 2x25 = 50cm 4x25= 100cm
The scale of this drawing is 1cm = 25cm
What is the actual length and breadth of the TV ?

19. Angle Properties www.mathsrevision.com Revision of Level E 65o 115o
Two angles making a
straight line add to 180o
145o
Angles round a point
Add up to 360o
50o
40o
90o
146o
34o
146o
3 angles in a triangle ALWAYS
add up to 180o.
angles opposite each other
at a cross are equal.
20-Sep-18
Created by Mr. Lafferty

20. Angle Properties www.mathsrevision.com Revision of Level E h b c e
ALL angles in an equilateral triangle are 60o
Two angles in a isosceles
Are equal
d = 115o ao co bo go fo ho eo h
is corresponding to d and must be 115o b
is opposite to d and must be 115o c
is must be 65o (straight line) e
is alternate to c and must also be 65o
20-Sep-18
Created by Mr. Lafferty

21. Sum of Angles in a Triangle
Level E
Find the missing angles.
50o
38o
40o xo xo xo
Remember all the angles in a triangle add up to 180o
20-Sep-18
Created by Mr.Lafferty Math Dept

22. Triangular and square Numbers
Level E
1 4 9
2 3 4
Write the number that are triangular or square for the list
20-Sep-18
Created by Mr.Lafferty Math Dept

23. Complicated Linear Patterns using diagrams and tables
Level E
nth terms
1st terms 2 4 5 1 3
Pattern Number P 6 10 12 8
Number of Dots
Pattern 1
Pattern 3
Pattern 2
nth
D = 2P +2
48 = 2xP +2
P =23
D = 2x35 +2
=72
Find the nth term ( the rule) of the pattern
How many dots for pattern number 35?
What is the pattern number for 48 dots?

24. Complicated Linear Patterns using diagrams and tables
Level E
Find the nth term ( the rule) of the patterns A 1 2 3 4 50 B 5 7 9 11
B = 2A + 3
103
Find A if B = 87
A = 42 x 1 2 3 4
100 y 6 11 16 21
y = 5x + 1
501
Find x if y = 96
x = 19

25. Fractions Percentages Decimals & Ratios
Level E
Percentages
Fraction
Decimal
50%
0.5
25%
0.25
75%
0.75
100

26. Fractions Percentages Decimals & Rations
Level E
Fill in the missing values.
Percentages
Fraction
Decimal
40%
0.4
70%
0.7
80%
0.8

27. Fractions Percentages Decimals & Ratios
Level E 2 4 1 + x 2.
Mixed Number
improper
Decimal fraction
2.25
1.6
6.5

28. Created by Mr.Lafferty Math Dept
Percentages
Level E
A TV shop has 15% off the normal price of TV.
The normal price was £300. Calculate the sale price.
10% = 300 ÷ 10 = £30
5% = 30 ÷ = £15
15%
£45
Sale price is £300 - £45 = £255
20-Sep-18
Created by Mr.Lafferty Math Dept

29. Created by Mr. Lafferty Math Dept
Ratios
A way of comparing things
Level E
A survey of people sitting their driving test found that in
one week 96 people passed and 24 failed.
Calculate the ratio of:
pass to fail
The pass rate is defined as the amount of people that passed
out of the total who sat their test.
Find the pass rate as a :
Ratio (iii) Fraction (iv) Percentage
Simplify were possible
96 : 24 = 4 : 1 4 5
80%
96 : 120 = 4 : 5
20-Sep-18
Created by Mr. Lafferty Math Dept