2. This week: measures
Convert units of measure and calculate the area, perimeter and volume of common shapes
Name common units of measure for weight, length and capacity
Calculate perimeter and area of common 2D shapes
Convert between Metric units of measure
Calculate volume and surface area of common 3D shapes
Convert Imperial units of measure to Metric
Solve missing number area, perimeter and volume problems

3. What did we do last week?

4. Recap Quiz Draw 5 2D shapes Name 3 3D shapes
Obtuse angles are between which values?
Draw an irregular octagon
Draw a regular triangle
How many degrees in a right angle?
Draw an example of tessellation
Draw a net of a cube
What is the mathematical name for the shape of a Toblerone?
Which 2D shape shares its name with a flying toy?

5. Units?

6. Metric Conversions (Length)
Functional Skills Mathematics - Measurements
Metric Conversions (Length)
x 1000
x 100
x 10 cm mm km m
÷ 1000
÷ 100
÷ 10
Convert 3.6km to cm
3.6 x 1,000 = 3,600m
3,600 x 100 = 360,000cm
Convert 5.7km to m
5.7 x 1,000 = 5,700m
Convert 3m to cm
3 x 100 = 300cm

7. Metric Conversions (Weight)
x 1000
x 1000
x 1000 g mg
Tonne kg
÷ 1000
÷ 1000
÷ 1000
Convert 7.6 tonnes to mg
7.6 x 1,000 = 7,600kg
7600 x 1,000 = 7,600,000g
7,600,000 x 1,000 = 7,600,000,000mg
Convert 2.9kg to g
2.9 x 1,000 = 2,900g
Convert 5g to mg
5 x 1,000 = 5,000mg

8. Metric Conversions (Capacity)
x 100
x 10 l cl ml
1ml = 1cm3
÷ 100
÷ 10
Convert 15,300ml to l
15,300 ÷ 10 = 1,530cl
1,530 ÷ 100 = 15.3l
Convert 90ml to cl
90 ÷ 10 = 9cl
Convert 9l to cl
9 x 100 = 900cl

9. Calculate these conversions:1) 2) 3) 4) 5) 6) 1) 2) 3) 4) 5) 6)

10. Metric to Imperial Conversions
1 km
0.621 miles
2.54 cm
1 inch
4.5 litres
1 gallon
1 kg
2.2 pounds
1 metre
3.3 feet

11. This mans nose is 8.8cm long, convert this to inches.

12. The diameter of this bubble is 20.3 inches, convert this to cm.
20.3 x 2.54 = cm

13. This woman’s legs are 132cm long, convert this to inches.

14. This man’s mouth is 6.8 inches across, convert this to cm.
6.8 x 2.54 = cm

15. This woman’s waist is 15.2 inches around, convert it to cm.
15.2 x 2.54 = cm

16. This snake is 7.3 m long, convert this to feet.
7.3 x 3.3 = feet

17. Metric and Imperial Measures

19. Converting between km/h and m/s
Convert 100km/h to m/s
Convert 6km/h to m/s
Convert 450m/s to km/h.
Convert 705m/s to km/h.
km/h -> m/s:
x 1000
÷ 3600
72 km/h in m/s:
72 x 1000 = 72,000
72,000 ÷ 3600 = 20 m/s
m/s -> km/h:
÷ 1000
x 3600
100 m/s in km/h:
100 ÷ 1000 = 0.1
0.1 x 3600 = 360 km/h

20. Metric Conversions: cm3 and mm3=
10mm
1cm
VOLUME = 1,000mm3
VOLUME = 1cm3
10mm
1cm
10mm
1cm
x 1,000
cm3
mm3
÷ 1,000

21. Metric Conversions: m3 and cm3=
100cm 1m
VOLUME = 1,000,000cm3
VOLUME = 1m3
100cm 1m
100cm 1m
x 1,000,000 m3
cm3
÷ 1,000,000

22. Perimeter and Area 5+3+5+3 = 16cm 5 x 3 = 15cm²
Perimeter is the length around the outside of a shape. Area is the space inside a shape.
The rectangle has a perimeter of:
The rectangle has an area of:
= 16cm
5 x 3 = 15cm²

23. Calculate the perimeter and area of this rectangle…
20cm
24cm²

24. Rectangle: Area = length × width 𝑨=𝒍𝒘
Formulae to remember:
Triangle:
Area = base × height ÷ 2
𝑨= 𝟏 𝟐 𝒃𝒉
Rectangle: Area = length × width 𝑨=𝒍𝒘
Find the area and perimeter of this rectangle:
Area = 8 × 6
Area = 48cm²
Perimeter =
Perimeter = 28cm
Find the area and perimeter of this triangle:
Area = 5 × 12 ÷ 2
Area = 60cm² ÷ 2
Area = 30cm²
Perimeter =
Perimeter = 30cm
13cm
6cm
5cm
8cm
12cm

25. Exam Questions Answer: 35cm² Answer: Area = 88cm² Perimeter = 38cm 7cm
Find the area of this triangle:
Question 2
Find the perimeter and area of this rectangle:
7cm
11cm
10cm
Answer: 35cm²
8cm
Answer:
Area = 88cm²
Perimeter = 38cm

26. Formulae to remember: Trapezium:
Area = (Half the sum of parallel sides) × height
𝑨= 𝒂+𝒃 𝟐 ×𝒉
Parallelogram: Area = base × vertical height 𝑨=𝒃𝒉
Find the area of this parallelogram:
Area = 7 × 5
Area = 35cm²
Find the area of this trapezium:
Area = ×5
Area = 30cm²
4cm
5cm
6cm
5cm
7cm
8cm

27. Exam Questions Answer: 96cm² Answer: 70cm² 12cm 10cm 8cm 9cm 7cm 11cm
Find the area of this parallelogram:
12cm
10cm
8cm
Answer: 96cm²
Question 2
Find the area of this trapezium:
9cm
7cm
11cm
Answer: 70cm²

28. Find the missing lengths
?cm
6cm
Area = 48cm²
7cm
Area = 21cm²
8cm
?cm
6cm
8cm
?cm
5cm
Area = 32cm²
Area = 28cm²
Height =
4cm
9cm
Height = 4cm

29. Calculate the volume of a cuboid
A cuboid is a prism, which means that it has the same cross-section all the way through. Find the area of the cross-section then multiply by the length: Volume = Height × Width × Length 𝑉=ℎ𝑤𝑙
Find the volume of this cuboid:
Volume = 3 × 5 × 4
Volume = 60cm³
3cm
4cm
5cm

30. Working backwards
Find the height of this cuboid: 280cm³ = 10 × 7 × h h = 280 ÷ (10 × 7) h = 4cm
Volume = 280cm³
7cm
10cm

31. Find the volume of this cuboid:
Exam Questions
Find the volume of this cuboid:
The tank below contains exactly 100 litres of water. How far up the tank does the water go? (Hint: 1 litre = 1000cm³)
8cm
0.5m
6cm
0.5m
5cm 1m
Answer: 240cm³
Answer: 0.2m or 20cm

32. What is a prism? Hexagonal Prism Cylinder Triangular Prism
A prism is a 3D shape that has the same cross-section all the way through.
Triangular Prism
Hexagonal Prism
Cylinder
Find the area of the cross-section then multiply by the length.
Volume = Area of cross-section × length

33. Find the volume of this cylinder: Volume = 𝜋× 3 2 ×8 Volume = 226.2cm³
Recap
Find the volume of this cylinder: Volume = 𝜋× 3 2 ×8 Volume = 226.2cm³
If the volume of this prism is 360cm³ and it is 9cm long, what is the area of the cross-section? Area of cross-section = 360 ÷ 9 Area of cross-section = 40cm²
3cm
8cm

34. Find the volume of this triangular prism:
Exam Questions
Find the volume of this triangular prism:
A circular pond contains 18,850 litres of water. It has a diameter of 4m. How deep is the pond if it is a cylinder? (1 litre = 1000cm³)
9cm
12cm
8cm
Answer: 432cm³
Answer: 1.5m or 150cm

35. What is the value of x? 6

36. The area of this shape is 20cm2. What is the length, b ?5
4cm
b cm

37. What is the perimeter of this shape?
2.5cm
2.5cm
2 cm 7

38. What is the area of this shape?12

39. 3cm
What is the area of this shape?
4cm 20