Unit 11 Ratio and proportion 2 Write each ratio in its simplest form. a 2 : 6 b 6 : 9 c 10 : 15 Q2a hint Ϭ2 Q2b hint You cannot divide by 2. Try dividing by 3. 2: 6 1: Ϭ2 d 24 : 36 : 60 e 2.5 : 6 f 2.4 : 1.6 Q2e hint Choose a number to multiply by to give whole numbers first. 3 Complete these conversions. a 3.8 m = cm b 2.5 litres = ml c £600 = euros (£1 = 1.23 euros) d 24 pints = Q3a hint 3 4 5 6 7 0 m cm 0 gallons (1 gallon = 8 pints) Q3c hint 1 100 2 3 4 m cm 0 £ 3 euros 0 Jim mixes red paint and blue paint in the ratio 1 : 5. He uses 3 tins of red paint. How much blue paint should he use? 1.23 Q4 hint 1 red for every 5 blue. R B B B B B Jenny makes a scale model of a train carriage using the ratio 1 : 20. Her model is 24 cm long. a How long is the real train carriage in cm? b Write the real length in metres. Q5a hint 3 The ratio of butter to sugar in a recipe is 2 : 1. Ian uses 6 ounces of butter. How many ounces of sugar should he use? Isabel and Freya share £20 in the ratio 2 : 3. a How much do they each receive? b Show how you have checked your answer. 1 1 cm model real 20 cm Q6 hint 6 ounces butter Q7a hint Isabel 336 A piece of cloth is cut into three pieces in the ratio 1 : 2 : 5. The piece of cloth is 240 cm long. a How long is each piece? b Show how you have checked your answer. Q8 hint butter sugar Freya Freya £20 Isabel Freya Q7b hint Add your answers for Isabel and Freya’s shares together. 8 24 cm 240 cm