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Measures (Easy)
Farmer Giles's farm is 125 acres in size.

Measures (Easy)

Measures are all around us, from speed and distance to time and weight. In 11 Plus Maths, understanding how we measure things makes problem solving easier.

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Fascinating Fact:

A light year measures distance not time, it’s the number of kilometres light travels in one year, around 9.46 trillion of them.

In 11 Plus Maths, pupils learn to measure and convert between units such as metres, litres, and kilograms. These skills help with comparing quantities, estimating values, and solving real-life problems.

  • Distance: The length of space between two points, often measured in metres, kilometres, or miles.
  • Speed: How fast something moves, usually measured in distance per time unit such as kilometres per hour.
  • Conversion: Changing one unit of measurement into another, like converting minutes to hours or metres to centimetres.
What are the main types of measurement in maths?

The main types are length, mass, time, and capacity. Each has specific units such as metres, kilograms, seconds, and litres.

How can I convert between units of measurement?

To convert between metric units, multiply or divide by 10, 100, or 1000 depending on whether you are moving to a larger or smaller unit.

What is the difference between distance and speed?

Distance is how far something travels, while speed shows how quickly it travels that distance over time.

1 .
Peter's car holds 40 litres (l) of petrol. If 1 gallon is the same as 4.55 litres (l), how many gallons does Peter's car hold?
182 gal
18.2 gal
0.8 gal
8.8 gal
This is an imperial gallon. An American gallon = 3.78 litres (l). Don't fill up with American gallons!
2 .
How many grams are there in one-eighth of a kilogram?
8 g
125 g
8,000 g
250 g
To find one-eighth of a number, divide the number by 8: 1,000 ÷ 8 = 125 g. The same procedure can be used with other fractions
3 .
If one inch equals 2.54 cm, how many centimetres are there in 12 inches?
30 cm
3 cm
4.7 cm
300 cm
12 inches = 1 foot. If one inch equals 2.54 cm, then 12 inches = 12 × 2.54 = 30.48 cm
4 .
The length and width of a room are 4 m and 350 cm. What is the floor area of the room in square metres?
14 m2
1,400 m2
7.5 m2
354 m2
Area = length × width BUT convert 350 cm to metres by dividing by 100 to give 3.5 m. Area = 4 × 3.5 = 14 m2. Dimensions (length, width and height) MUST be in the SAME UNITS
5 .
A cube has a side length of 7 cm. What is the volume of the cube?
21 cm3
14 cm3
343 cm3
49 cm3
Volume = length × width × height = 7 × 7 × 7 = 343 cm3
6 .
If John drinks 4 pints of beer, how many litres does he drink? 1 pint = 586 ml
146.5 litres
0. 12 litres
6.8 litres
2.3 litres
The 586 ml must be converted to litres by dividing by 1,000 to give 0.586 litres. If 1 pint = 586 ml, then 4 pints = 4 × 0.586 = 2.344 litres. This is an imperial pint. An American pint = 473 ml (liquid pint). Don't drink American pints!
7 .
When Maria was on holiday in the UK, she drove 211 miles on the M1 from London to York. If 1 mile equals 1.61 km, how many kilometres did she drive?
131 km
340 km
161 km
3,400 km
If 1 mile equals 1.61 km, then 211 miles = 211 × 1.61 = 339.71 km
8 .
Farmer Giles's farm is 125 acres in size. If one acre equals 4,047 m2, how many square metres is his farm?
50,588 m2
505,875 m2 (five hundred and five thousand eight hundred and seventy-five)
162 m2
550,875 m2 (five hundred and fifty thousand eight hundred and seventy-five)
If one acre equals 4,047 m2, then 125 acres = 125 × 4,047 = 505,875 m2
9 .
When Henry was on holiday in Europe, he drove 5,640 km in his car. If 1 mile = 1.61 km, how many miles did he drive?
3,503 m
350 m
9,080 m
908 m
If 1 mile = 1.61 km, then 5,640 km = 5,640 ÷ 1.61 = 3,503.1 miles. You have to divide by 1.61 because you want to find out how many lots of 1.61 there are in 5,640: each 'lot' equals 1 mile
10 .
How many tonnes (t) is the same as 123,500 kg?
12,350 t
12.4 t
1,235 t
123.5 t
1 tonne = 1 metric ton = 1,000 kg ? 123,500 kg = 123,500 ÷ 1,000 = 123.5 t. You have to divide by 1,000 because you want to find out how many 'lots' of 1,000 there are in 123,500: each 'lot' equals 1 tonne
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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