11-plus Maths | Measures - with millimetres and centimetres

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Maths Quiz - Measures (Medium) (Questions)

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 (mm²); square centimetre (cm²); square metre (m²)
cubic millimetre (mm³); cubic centimetre (cm³); cubic metre (m³)
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.

What is another name for 'metric ton'?

[ ]	tune
[ ]	tun
[ ]	ton
[ ]	tonne

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

What is 1,610 m the same as?

[ ]	1 mile
[ ]	10 miles
[ ]	100 miles
[ ]	0.1 miles

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

How many kilometres are there in 1,000,000 (one million) metres?

[ ]	1,000 km
[ ]	100,000 km
[ ]	10,000 km
[ ]	100 km

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

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)

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

What does 500,000 mg (five hundred thousand milligrams) weigh in kilograms?

[ ]	5 kg
[ ]	2 kg
[ ]	0.5 kg
[ ]	0.2 kg

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

Maths Quiz - Measures (Medium) (Answers)

What is another name for 'metric ton'?

[ ]	tune
[ ]	tun
[ ]	ton
[x]	tonne

Its symbol is 't'. Learn it!

Which of the following lengths is the longest: 1 m, 100 cm, 1,000 mm?

[x]	They are all the same length
[ ]	1 m
[ ]	100 cm
[ ]	1,000 mm

1 m = 100 cm = 1,000 mm

What is 1,610 m the same as?

[x]	1 mile
[ ]	10 miles
[ ]	100 miles
[ ]	0.1 miles

1,610 m = 1.61 km = 1 mile

Which of the following is the largest volume: 1,000 cm³, 1,000 mm³, 1,000 m³?

[ ]	1,000 cm³
[ ]	1,000 mm³
[x]	1,000 m³
[ ]	They are all the same

Cubic metres are the largest

How many kilometres are there in 1,000,000 (one million) metres?

[x]	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

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
[x]	It is 10 cm³ long

It should be 'It is 10 cm long'

How many square centimetres are there in 3 m²?

[ ]	3,000 cm²
[x]	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

The volume of a sphere is 1,280 cm³. What is the volume of the hemisphere?

[ ]	2,560 cm³
[x]	640 cm³
[ ]	320 cm³
[ ]	160 cm³

A hemisphere is half a sphere

What does 500,000 mg (five hundred thousand milligrams) weigh in kilograms?

[ ]	5 kg
[ ]	2 kg
[x]	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
[x]	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