**The measures on a ruler show millimetres and centimetres.** Some rulers also show inches. Millimetres and centimetres are metric units, whereas inches are imperial measurements.

The following symbols may be of use in doing this quiz:

- millimetre (mm); centimetre (cm); metre (m)
- milligram (mg); gram (g); kilogram (kg)
- square millimetre (mm
^{2}); square centimetre (cm^{2}); square metre (m^{2}) - cubic millimetre (mm
^{3}); cubic centimetre (cm^{3}); cubic metre (m^{3}) - millilitre (ml or mL); litre (l or L)

Have a look at the symbols above and then do the following 11-plus Maths quiz - good luck.

1.

Which of the following has been wrongly labelled?

There are 10 cm^{3} of liquid in it

Its area is 10 m^{2}

It weighs 10 kg

It is 10 cm^{3} long

It should be 'It is 10 cm long'

2.

Which of the following is the largest volume: 1,000 cm^{3}, 1,000 mm^{3}, 1,000 m^{3}?

1,000 cm^{3}

1,000 mm^{3}

1,000 m^{3}

They are all the same

Cubic metres are the largest

3.

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

4.

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

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 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

7.

The volume of a sphere is 1,280 cm^{3}. What is the volume of the hemisphere?

2,560 cm^{3}

640 cm^{3}

320 cm^{3}

160 cm^{3}

A hemisphere is half a sphere

8.

What is another name for 'metric ton'?

tune

tun

ton

tonne

Its symbol is 't'. Learn it!

9.

How many square centimetres are there in 3 m^{2}?

3,000 cm^{2}

30,000 cm^{2}

300,000 cm^{2} (three hundred thousand)

3,000,000 cm^{2} (three million)

1 m^{2} = 100 × 100 = 10,000 cm^{2} ∴ 3 m^{2} = 3 × 10,000 = 30,000 cm^{2}

10.

A box is 2 m long and 1.5 m wide. How high must it be so that its volume is 4.5 m^{3}?

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