The Wey Valley School & Sports College
Mathematics Home Study
Page 1
METRIC MEASURES
1.
UNIT: UNITS OF MEASURE
Support work: Question 1 on each page
Core work: Question 2 on each page
Extension work: Question 3 on each page
Which of the following would be the best estimate of the
height of a child:
A: 4.1 m
B: 140 cm
C:300 mm
D: 1800 mm?
2. (a) Change the following lengths to cm:
(i) 80mm (ii) 750mm (iii) 8mm
(iv) 5m
(v) 3.6m
(b) Change the following lengths to m:
HELP!
1 metre (m) = 100 centimetres (cm)
1 cm = 10 millimetres (mm)
1 tonne = 1000 kilograms (kg)
1 kg = 1000 grams (g)
1 litre (l) = 1000 millilitres (ml)
1 ml = 1 cm3
1 foot = 12 inches
1 yard = 3 feet
1 pound (lb) = 16 ounces
1 stone = 14 pounds
1 gallon = 8 pints
(i) 800cm (ii) 76cm (iii) 2500cm (iv) 160mm (v)20mm
(c) Change the following lengths to mm:
(i) 8cm
(ii) 28cm (iii) 3.6cm (iv) 18m (v) 0.75m
3. (a) Change the following masses to kg:
(i) 3200g (ii) 800g (iii) 50g
(iv) 2 tonnes
(v) 0.7 tonnes
(b) Change the following volumes to ml:
30 cm = 1 foot
8 km = 5 miles
1 kg = 2.2 pounds
4½ litres = 1 gallon
(i) 1.5 litres (ii) 30 litres (iii) ½ litre (iv) 0.8 litres
(c) Convert the following volumes to litres:
(i) 5000ml (ii) 600ml (iii) 1700ml (iv) 20ml (v) 400cm3
Page 2
Page 3
IMPERIAL MEASURES
MIXED MEASURES PROBLEMS
1. Which of the following would be the best estimate for the
length of a pen:
A: 15 inches
B: 100 inches
C: 6 inches
D: ½ inch
2. (a) Change the following lengths to inches:
1. A glass holds 75 ml of drink. How many glasses can be filled
from:
(a) a ¾ litre bottle of drink
(b) a 150 ml carton of drink
(i) 4 feet (ii) 6 yards (iii) 7 feet 3 inches (iv) 18½ yards
(b) Change the following distances to feet or feet and inches:
(i) 24 inches (ii) 108 inches (iii) 72 inches (iv) 144 inches
2. (a) A gardener buys 352 pounds of soils. 5 kg of soil fills one
pot. How many pots can he fill with the soil?
(b) A school canteen orders 50 litres of milk. How many halfpint glasses can be filled with this milk?
(c) How many ounces are the in:
(i) 3 pounds (ii) 2½ pounds (iii) 5¼ pounds (iv) 4 stones?
(c) A ball of string has a length of 60 m. How many 4-foot
lengths of string can be cut from this ball?
3. (a) How many pints are there in:
(i) 11 gallons
(ii) 32 gallons
(iii) 7 ½ gallons?
(b) Convert the following distances to miles:
(i) 480 km (ii) 80 km (iii) 416 km (iv) 4 km
(c) How many litres are there in:
(i) 1000 gallons (ii) 180 gallons (iii) 272 gallons?
3. A car wheel has a diameter of 40 cm. How many times would
the wheel go round if the car travels:
(a) 1 km
(b) 680 m
(c) ½ mile?
Remember to find
the circumference of
a circle = π × d