**This 11-plus Maths quiz will give you more practice with metric units.** By the way, some of the answers have been rounded to one decimal place or the nearest whole number.

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)

See if you can score top marks!

1.

How many tonnes (t) is the same as 123,500 kg?

12,350 t

12.4 t

1,235 t

123.5 t

1 tonne = 1 metric ton = 1,000 kg ∴ 123,500 kg = 123,500 ÷ 1,000 = 123.5 t. You have to divide by 1,000 because you want to find out how many 'lots' of 1,000 there are in 123,500: each 'lot' equals 1 tonne

2.

The length and width of a room are 4 m and 350 cm. What is the floor area of the room in square metres?

14 m^{2}

1,400 m^{2}

7.5 m^{2}

354 m^{2}

Area = length × width BUT convert 350 cm to metres by dividing by 100 to give 3.5 m. Area = 4 × 3.5 = 14 m^{2}. Dimensions (length, width and height) MUST be in the SAME UNITS

3.

When Maria was on holiday in the UK, she drove 211 miles on the M1 from London to York. If 1 mile equals 1.61 km, how many kilometres did she drive?

131 km

340 km

161 km

3,400 km

If 1 mile equals 1.61 km, then 211 miles = 211 × 1.61 = 339.71 km

4.

When Henry was on holiday in Europe, he drove 5,640 km in his car. If 1 mile = 1.61 km, how many miles did he drive?

3,503 m

350 m

9,080 m

908 m

If 1 mile = 1.61 km, then 5,640 km = 5,640 ÷ 1.61 = 3,503.1 miles. You have to divide by 1.61 because you want to find out how many lots of 1.61 there are in 5,640: each 'lot' equals 1 mile

5.

Farmer Giles's farm is 125 acres in size. If one acre equals 4,047 m^{2}, how many square metres is his farm?

50,588 m^{2}

505,875 m^{2} (five hundred and five thousand eight hundred and seventy-five)

162 m^{2}

550,875 m^{2} (five hundred and fifty thousand eight hundred and seventy-five)

If one acre equals 4,047 m^{2}, then 125 acres = 125 × 4,047 = 505,875 m^{2}

6.

Peter's car holds 40 litres (l) of petrol. If 1 gallon is the same as 4.55 litres (l), how many gallons does Peter's car hold?

182 gal

18.2 gal

0.8 gal

8.8 gal

This is an imperial gallon. An American gallon = 3.78 litres (l). Don't fill up with American gallons!

7.

If John drinks 4 pints of beer, how many litres does he drink? 1 pint = 586 ml

146.5 litres

0. 12 litres

6.8 litres

2.3 litres

The 586 ml must be converted to litres by dividing by 1,000 to give 0.586 litres. If 1 pint = 586 ml, then 4 pints = 4 × 0.586 = 2.344 litres. This is an imperial pint. An American pint = 473 ml (liquid pint). Don't drink American pints!

8.

A cube has a side length of 7 cm. What is the volume of the cube?

21 cm^{3}

14 cm^{3}

343 cm^{3}

49 cm^{3}

Volume = length × width × height = 7 × 7 × 7 = 343 cm^{3}

9.

If one inch equals 2.54 cm, how many centimetres are there in 12 inches?

30 cm

3 cm

4.7 cm

300 cm

12 inches = 1 foot. If one inch equals 2.54 cm, then 12 inches = 12 × 2.54 = 30.48 cm

10.

How many grams are there in one-eighth of a kilogram?

8 g

125 g

8,000 g

250 g

To find one-eighth of a number, divide the number by 8: 1,000 ÷ 8 = 125 g. The same procedure can be used with other fractions