Free 11 Plus Unit Conversion Practice Papers

Free 11 Plus Unit Conversion Practice Papers

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Free 11 Plus Unit Conversion Practice Papers

Units of measurement cover different measurements and conversions in Length, Area, Volume and Time.

1.Length:

The most used units to measure length are meter, centimetre, millimetre, decimeter, decameter, hectometer, and kilometre.

Conversions of different Lengths:

1 centimeter = 10 millimeters
1  decimeter(dm) = 10 centimeters
1 meter(m) = 100 centimeters
1 decameter = 10 meters
1 hectometer = 100 meters
1 kilometer(km) = 1000 meters

 

1 centimeter (cm) = 10 mm = 0.01 meter = 0.00001 km

1 meter (m) = 100 cm = 1000mm = 0.001 km

1 kilometer (km) = 1000 m = 105 cm = 106 mm

1 millimeter = 0.001 m = 0.1 cm = 0.000001 km

Example:

The length of the side of the square is 40 cm. Express the length in meters and millimetres.

Answer:

Given, the length of the side of the square = 40 cm

1 centimeter (cm) = 0.01 meter

1 centimeter (cm) =10mm

The length of side of square in meters = 40 cm = 40 x 0.01m = 0.4 m

The length of side of square millimeters = 40 cm = 40 x 10 mm = 400 m

2. Area:

Basic units of area are given below:

  1. Square meter (m2)
  2. Square centimetre (cm2)
  3. Square kilometre (km2)

Conversions of different units of Area:

1 m2 = 100cm x 100cm = 104 cm2
1 km2 = 1000m x 1000m = 106 m2
1 hectare = 10000 Square Metres
1 acre = 4046.856 Square Metres

 

Example:

The area of the town is 24 km2. Express the area in terms of square meters.

Answer:

The area of town = 24 km2.

1 km2 = 106 m2

The area of town = 24 x 106 m2

3. Volume:

Units of volume are given below

  1. Cubic centimetres
  2. Cubic meters
  3. Gallons for liquids
  4. Litres

Conversions of different units of Volume:

1 Cubic meters = 106 cm3
1 Liter = 0.001 m3
1 Cubic meters = 1000 liters
1 gallon = 3.785 litres
1 Liter = 1000ml

4 Gills = 1 Pint

2 Pints = 1 Quart

4 Quarts = 1 Gallon

 Example1:

The volume of the cylinder is 1000 litres. Express the volume in terms of cubic meters.

Answer:

The volume of cylinder = 1000 litres

1 Liter = 0.001 cubic meter

The volume of cylinder = 1000 x 0.001 cubic meter = 1 cubic meter

4.Time:

The basic units used to measure time are given below:

1.Seconds

2.Minutes

3.Hours

4.Days

5.Weeks

Conversions of basic units of Time:

1 Minute = 60 seconds

1 Hour = 60 minutes

1 Day = 24 hours

1 Week = 7 days

1 Year = 365 days

1 Leap year = 366 days

Example1:

How many weeks present in a year?

Answer:

1 Year = 365 days

1Week = 7 days

Number of weeks in a year = 365 / 7 = 52 weeks + 1 day

Example2:

How many weeks present in a leap year?

Answer:

1 Leap year = 366 days

1Week = 7 days

Number of weeks in a leap year = 366 / 7 = 52 weeks + 2 days

Example3:

How many hours present in a week?

Answer:

1Week = 7 days

1 Day = 24 hours

Number of hours present in a week = 7 x 24 hours = 168 hours

Some Examples from our 11 Plus Practice Papers:

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Free 11 Plus Money and Cost Practice Papers

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Free 11 Plus Place Value and Rounding Practice Papers

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