 # 11-Plus 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.

1. What is another name for 'metric ton'?
 [ ] tune [ ] tun [ ] ton [ ] tonne
2. 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
3. What is 1,610 m the same as?
 [ ] 1 mile [ ] 10 miles [ ] 100 miles [ ] 0.1 miles
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
5. How many kilometres are there in 1,000,000 (one million) metres?
 [ ] 1,000 km [ ] 100,000 km [ ] 10,000 km [ ] 100 km
6. 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
7. 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)
8. 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
9. 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 11-Plus Maths Quiz - Measures (Medium) (Answers)
1. What is another name for 'metric ton'?
 [ ] tune [ ] tun [ ] ton [x] tonne
Its symbol is 't'. Learn it!
2. 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
3. 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
4. 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
5. 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
6. 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'
7. 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
8. 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
9. 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