**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.

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

2.

What is another name for 'metric ton'?

tune

tun

ton

tonne

Its symbol is 't'. Learn it!

3.

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

4.

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

5.

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

6.

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

7.

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'

8.

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}

9.

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

10.

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