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Measures (Medium)
Find out about spheres and hemispheres in this quiz.

Measures (Medium)

Measuring time, distance, and volume requires precision. In 11 Plus Maths, understanding how to convert between different units is key to solving practical problems quickly.

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Fascinating Fact:

There are 3600 seconds in an hour, so one second is one three-thousand-six-hundredth of an hour, a reminder that time is made of very small fractions.

In 11 Plus Maths, pupils practise converting between seconds, minutes, and hours, as well as between metres, litres, and kilograms. These skills help with both problem-solving and real-life calculations.

  • Conversion: Changing a value from one unit to another, like hours to minutes or metres to centimetres.
  • Accuracy: How close a measurement is to the true value, important when calculating or comparing results.
  • Unit: A standard amount used to measure something, such as seconds for time or litres for capacity.
How many minutes are there in an hour?

There are 60 minutes in one hour. Each minute contains 60 seconds, making a total of 3600 seconds per hour.

How do I convert hours to seconds?

Multiply the number of hours by 3600, because each hour has 60 minutes and each minute has 60 seconds.

Why is measurement important in maths?

Measurement helps us understand quantities, compare results, and solve practical problems in science, engineering, and everyday life.

1 .
What is another name for 'metric ton'?
tune
tun
ton
tonne
Its symbol is 't'. Learn it!
2 .
Which of the following lengths is the longest: 1 m, 100 cm, 1,000 mm?
They are all the same length
1 m
100 cm
1,000 mm
1 m = 100 cm = 1,000 mm
3 .
What is 1,610 m the same as?
1 mile
10 miles
100 miles
0.1 miles
1,610 m = 1.61 km = 1 mile
4 .
Which of the following is the largest volume: 1,000 cm3, 1,000 mm3, 1,000 m3?
1,000 cm3
1,000 mm3
1,000 m3
They are all the same
Cubic metres are the largest
5 .
How many kilometres are there in 1,000,000 (one million) metres?
1,000 km
100,000 km
10,000 km
100 km
1 kilometre = 1,000 m ? 1,000,000 m = 1,000,000 ÷ 1,000 = 1,000 km. You have to divide by 1,000 because you want to find out how many 'lots' of 1,000 there are in 1,000,000: each 'lot' equals 1 km
6 .
Which of the following has been wrongly labelled?
There are 10 cm3 of liquid in it
Its area is 10 m2
It weighs 10 kg
It is 10 cm3 long
It should be 'It is 10 cm long'
7 .
How many square centimetres are there in 3 m2?
3,000 cm2
30,000 cm2
300,000 cm2 (three hundred thousand)
3,000,000 cm2 (three million)
1 m2 = 100 × 100 = 10,000 cm2 ? 3 m2 = 3 × 10,000 = 30,000 cm2
8 .
The volume of a sphere is 1,280 cm3. What is the volume of the hemisphere?
2,560 cm3
640 cm3
320 cm3
160 cm3
A hemisphere is half a sphere
9 .
What does 500,000 mg (five hundred thousand milligrams) weigh in kilograms?
5 kg
2 kg
0.5 kg
0.2 kg
You should have guessed from 'millimetre' that 'milligram' means a thousandth of a gram: so there are 1,000,000 mg in 1 kg ? 500,000 mg = 0.5 kg. The quantities of different substances that go into making medicines are described in milligrams
10 .
A box is 2 m long and 1.5 m wide. How high must it be so that its volume is 4.5 m3?
0.9 m
15 m
0.15 m
1.5 m
Volume = height × width × length ? 2 × 1.5 × height = 4.5 m. So, 3 × height = 4.5. Divide both sides by 3 and you get: height = 1.5 m. The 3s on the LHS cancel
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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