Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level52. Ratios and Scales1. Divide £450 between Albert, Bob and Colin in the ratio 4:5:6.2. An amount of money is divided between three people in the ratio 5:6:7. If the first gets£125, what do the others get?3. £560 is shared among three people. The second gets twice as much as the first who receivestwice as much as the third. a) Into what ratio is it divided? b) How much do they each get?4. Mary makes 1.5 litres of lemon squash. The instructions say that the juice should be mixedwith water in the ratio three parts juice to seven parts water. How much juice is needed?5. An architect draws the plans of a house to a scale of 1:20. Complete the table below.Dimensions on drawingActual dimensionsWidth of house cm 10 metresHeight of door 11cm mArea of dining room floorAngle of staircase to floorcm 2 20m 2° 40°6. The plans of a small housing estate are drawn to a scale of 1:500.Copy and complete the following table.Dimensions on drawingActual dimensionsLength of street cm 0.5kmAngle between two streetsArea of school field° 80°cm 2 3000m 2Width of street 2.5cm m7. Mr Jones makes a doll’s house for his grand-daughter. He makes it a model of his ownhouse to a scale of 1:8. Copy and complete the following table.Dimensions on doll’s houseActual dimensionsTotal height cm 12mArea of hall floorVolume of dining room1200cm 2 m 2cm 3 48m 3Mr Jones sees some model tables to put into the house. There are three designs. They are5cm, 10cm and 15cm high. Which one should he buy?8. A model aeroplane is made to the scale of 1:40.a) If the wingspan is 20 metres, what will it be on the model?b) If the wing area is 500 square centimetres on the model, what is its actual area?c) The volume of the fuselage is 240 cubic metres. What is its volume on the model?