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A lady lifting weights.
Weights are measured in grams, kilograms and tonnes.

Measures 2 (Medium)

Understanding measurements helps us compare land, time, and space. In 11 Plus Maths, conversions are key to solving questions involving distance, weight, and area.

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Fascinating Fact:

A hectare is 10000 square metres, and since there are 640 acres in a square mile, one hectare equals about 2.47 acres, conversions keep cartographers awake at night.

In 11 Plus Maths, students practise converting between metric and imperial measurements such as metres to feet or litres to pints. Learning these conversions builds flexible problem-solving skills and accuracy.

  • Hectare: A metric unit of area equal to 10,000 square metres, often used to measure large areas of land.
  • Conversion: The process of changing a value from one unit of measurement to another.
  • Imperial System: A traditional set of measurement units used mainly in the UK and USA, including miles, pints, and pounds.
How big is one hectare of land?

One hectare is 10,000 square metres or roughly two and a half acres. It is about the size of one and a half football pitches.

How do I convert between metres and feet?

Multiply the number of metres by 3.281 to get feet. For example, 10 metres equals about 32.81 feet.

What is the difference between metric and imperial systems?

The metric system uses units like metres and litres, while the imperial system uses miles and pints. Both measure the same things but in different ways.

1 .
What is 30.48 cm the same as?
1 mile
1 inch
1 foot
1 yard
You may have heard that there are 30 cm in 1 foot. This is an approximatuion. There are actually 30.48 cm in a foot
2 .
How many kilograms are there in 1,000,000 (one million) grams?
100,000 kg
100 kg
10,000 kg
1,000 kg
1 kg = 1,000 g, so to convert grams to kg, just divide by 1,000: 1,000,000 ÷ 1,000 = 1,000
3 .
How many kilometres is 500,350 metres?
500.35 km
50.035 km
5.0035 km
5,003.5 km
1 km = 1,000 m, so to convert metres to km, just divide by 1,000: 500,350 ÷ 1,000 = 500.35
4 .
A jug contains 1.756 litres of water. How much must be added to increase the amount to 2 litres?
2.44 ml
2,440 ml
24.4 ml
244 ml
1 litre = 1,000 ml, so 2 litres = 2,000 ml. 2,000 - 1,756 = 244
5 .
Sophie weighs 6 stone. If 1 stone = 14 pounds and 1 pound = 0.45 kg, how many kg does Sophie weigh?
186 kg
64 kg
37.8 kg
34.6 kg
First, work out Sophie's weight in pounds: 6 x 14 = 84.
Next, convert pounds into kg by multiplying by 0.45: 84 x 0.45 = 37.8
6 .
How many grams are there in a tonne?
1,000
1 million
100,000
10,000
1 tonne = 1,000 kg, and 1 kg = 1,000 g. So, to convert tonnnes to grams, multiply by (1,000 x 1,000) = 1,000,000
7 .
Which of the following has the least volume: 1,000 million mm³, 1 million cm³, 1 m³?
1,000 million mm³
1 million cm³
1 mm³
They are all the same
There are 1 million cm³ in 1 m³, and 1,000 mm³ in 1 cm³, so there are 1,000 x 1,000,000 mm³ in 1 m³
8 .
How many cubic centimetres are there in 1 millilitre?
0.1
1
10
100
As well as being one-thousandth of a litre, a millilitre is also the same size as 1 cubic centimetre
9 .
Which of the following lengths is the shortest: 1 km, 10,000 m, 1 million cm?
1 km
10,000 m
1 million cm
They are all the same
1 km = 1,000 metres, and 1 metre = 100 cm, so, 1 million cm is equal to 10 km
10 .
Which one of the following statements is false?
There are 1,000 millilitres in 1 litre
There are 1,000 metres in 1 kilometre
There are 1,000 grams in 1 kilogram
There are 1,000 millimetres in 1 centimetre
Of course there are 1,000 millimetres in 1 metre, not in 1 centimetre!
Kilo means 1,000 of something, while milli means 1?1,000 of something
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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