Ratio and Proportion - February 2006, Stage 2&3

Problems

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Once Upon a Time

Stage: 2 Challenge Level: Challenge Level:1

Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?

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Nutty Mixture

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Use the ratio of cashew nuts to peanuts to find out how many peanuts Rachel has. What would the ratio be if Rachel and Marianne mixed their bags?

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Rod Ratios

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?

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Cereal Mix

Stage: 3 Challenge Level: Challenge Level:1

A farmer is supplying a mix of seeds, nuts and dried apricots to a manufacturer of crunchy cereal bars. What combination of ingredients costing £5 per kg could he supply?

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Mixing Paints

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

A decorator can buy pink paint from two manufacturers. What is the least number he would need of each type in order to produce different shades of pink.

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Mixing More Paints

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Is it always possible to combine two paints made up in the ratios 1:x and 1:y and turn them into paint made up in the ratio a:b ? Can you find an efficent way of doing this?