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Illustration of Measures | A feather
A tonne of feathers weighs the same as a tonne of bricks!

Measures 3 (Medium)

Measurements can be huge or tiny, from kilometres to nanoseconds. In 11 Plus Maths, learning to work with different scales builds both accuracy and confidence.

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Fascinating Fact:

A nanosecond is one billionth of a second, which means a computer can perform millions of calculations before you blink once.

In 11 Plus Maths, pupils learn how to compare and convert between very large and very small units. Understanding these concepts helps with estimating, problem-solving, and scientific thinking.

  • Nanosecond: One billionth of a second, often used to measure computer processing speed.
  • Scale: A range of numbers used to show size, quantity, or proportion, such as millimetres to kilometres.
  • Precision: The level of exactness or detail shown in a measurement or calculation.
How small is a nanosecond?

A nanosecond is one billionth of a second. Light travels about 30 centimetres in that time, roughly the length of a ruler.

What does precision mean in measurement?

Precision shows how exact a measurement is. A precise measurement has little variation and is close to the same value each time it’s repeated.

Why do we need to understand different scales?

Different scales help us measure objects of all sizes, from microscopic cells to planets, using suitable units for each situation.

1 .
A cube has a volume of 64 cm3. How wide is the cube?
2 cm wide
4 cm wide
6 cm wide
8 cm wide
Volume = height × width × length, so a cubed number is that number multiplied with itself twice: 4 x 4 x 4 = 64. It’s a good idea to learn the cubes of as many numbers as you can
2 .
Which one of the following statements is false?
There are 1,000 kg in a tonne
There are 14 pounds in a stone
There are 1,000 centilitres in a litre
There are 1,760 yards in a mile
There are 1,000 millilitres in a litre, but only 100 centilitres. ‘Milli’ means a thousandth, ‘centi’ means a hundredth
3 .
What is 568 ml the same as?
A quart
Two pints
Half a litre
A pint
568 ml = 0.568 l = 1 pint. Learn this if you can
4 .
How many millimetres are there in 1.83 metres?
1,830 mm
183 mm
18,300 mm
183,000 mm
To convert metres to millimetres simply multiply by 1,000:
1.83 x 1,000 = 1,830
5 .
A Marathon is a race over a distance of 42,195 metres. How many km is that?
4.2195 km
42.195 km
421.95 km
4,219.5 km
1 km = 1,000 m, so to convert metres to km, just divide by 1,000: 42,195 ÷ 1,000 = 42.195
6 .
Which of the following lengths is the longest: 5 km, 4 miles, 4,800 metres or 1,760 yards?
5 km
1,760 yards
4 miles
4,800 metres
5 km = 5,000 metres. 1 mile = 1,760 yards. To convert miles to km, a quick rule is to divide by 5 then times by 8: 4 ÷ 5 = 0.8, 0.8 x 8 = 6.4 km, so 4 miles is the longest distance
7 .
Which of the following is the largest volume: 1 pint, 1 litre, 2,500 ml or 1 gallon?
1 pint
1 litre
2,500 ml
1 gallon
1 pint = 0.568 litres, 2,500 ml = 2.5 litres, 1 gallon = 8 pints or 0.568 x 8 = 4.544 litres, so a gallon is the largest volume
8 .
Which is bigger: a metric ton (tonne) or an Imperial ton?
A ton
A tonne
They are both the same
It depends on what is being weighed
1 tonne = 1,000 kg, 1 ton = 1,016 kg.
It doesn’t matter what you are weighing: a tonne of feathers weighs the same as a tonne of bricks!
9 .
The area of a square is 144 cm2. What is the length of one of its sides?
3.5 cm
12 cm
24 cm
36 cm
The square root (?) of 144 is 12: 12 x 12 = 144. You’d do well to remember the squares of as many numbers as you can
10 .
Which of the following is the same as 20,000 cm2?
1 yard3
1 m3
2 yard2
2 m2
1 m2 = 10,000 cm2: 100 x 100 = 10,000
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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