2 nd Year Maths. The metric system is an international decimalised system of measurement that was originally based on the mètre des archives and the.

2nd Year Maths

The metric system is an international decimalised system of measurement that was originally based on the mètre des archives and the kilogramme des archives introduced by France in 1799.

The United States is the only industrialised country that does not use the metric system as its official system of measurement.

Ireland has been fully metric since 2005.

It is principally due to Irish membership in the European Union (EU) that metric units were introduced.

Since 2005 all new cars sold in Ireland have had speedometers that display only kilometres per hour.

Ireland traditionally used miles, yards, feet and inches. These are still used in many situations.

Metric System

Centimetres (cm) / Millimetres (mm)

Imperial System

Inches / 1/8 inches

500 millilitre (ml)

2 litre (l)

Conversion Table

1 km (km) = 1000 metres (m)

1 metre (m) = 100 centimetres (cm)

1 centimetre (cm) = 10 millimetres (mm)

1. Express the total length of the pitch (145m) in

(i) Kilometres(ii) Centimetres(iii)Millimetres

2. A player ran from the end line to the 45 metre line and back again. Express the distance he ran in:

(i) Kilometres(ii) Centimetres(iii)Millimetres:

3. A player sprinted from the end line to the 20m line 5 times.

(i) What was the total distance he ran in metres?

(ii) If it took 40 seconds, what was his speed in metres per second (m/s)?

Speed =

1. Express the total length of the pitch (145m) in

(i) Kilometres Answer: 0.145km(ii) Centimetres Answer:

14500cm(iii)Millimetres Answer:

145000mm

2. A player ran from the end line to the 45 metre line and back again. Express the distance he ran in:

(i) Kilometres Answer: 0.09km(ii) Centimetres Answer: 9000cm(iii)Millimetres: Answer:

90000mm

3. A player sprinted from the end line to the 20m line 5 times.

(i) What was the total distance he ran in metres? Answer: 100m

(ii) If it took 40 seconds, what was his speed in metres per second (m/s)? Answer: 2.5 m/sec

Q1. Express the three distances in:(i)Metres(ii)Centimetres

Q2. How many metres would you have driven if you went to Monaghan and back?

Q3. How long would it take you to drive a return trip to Derry if you were travelling at an average speed of 58km/h?

Time =

Q1. Express the three distances in:

MetresAnswer: 203000m, 99000m, 19000m

CentimetresAnswer: 20,300,000cm, 9,900,000cm, 1,900,000cm

Q2. How many metres would you have driven if you went to Monaghan and back?

Answer: 108,000 metres

Q3. How long would it take you to drive a return trip to Derry if you were travelling at an average speed of 58km/h?

Answer: Time =

Time = 7 hours

Conversion Table

1 tonne = 1000 kilograms (kg)

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 1000 milligrams (mg)

1 kilogram (kg) 3428 kilograms (kg)

8.5 grams (g) 34.5 milligrams (mg)

The amount of caffeine in Coca-Cola.

80 milligrams (mg)

The amount of caffeine in a can of Red Bull

You are shopping online and

have to pay extra for postage on

your parcel. Your parcel weighs

4.25kg. The shipping cost is 20

cent per every 125g of weight.

Complete the following:

1.Express the weight of the parcel in:

(i)Grams (ii)Tonnes(iii)Milligrams

2. Calculate the total cost of shipping the product.

Answers:Q1: 4250g 0.00425tonnes 4,250,000mgQ2: 4.25kg = 4250g 4250g ÷ 125g = 34 34 x 20 cent = 680c 680cent = €6.80

You are going on holidays and want to check in a bag. Ryanair allow a maximum of 20kg on board. They charge an excess fee of €20 per kg if your bag is overweight. The weight of the bag show up at 23,250g.

1.Express the weight of the bag in terms of:(i)Milligrams (mg)(ii)Tonnes(iii)Kilograms (kg)

2. If the basic fee for checking in baggage is €55. Calculate the total fee you will have to pay to check in.

Answers:Q1: (i) 23,250,000mg

(ii) 0.02325 tonnes(iii) 23.25kg

Q2: €50 + (3.25kg x €20) = €50 + €65 = Total of €115