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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.
Key Terms
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.
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
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)