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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