Mr Barton Maths
| |R5 | |Divide a given quantity into two parts in a given | |
| | | |part : part or part : whole ratio; express the division of | |
| | | |a quantity into two parts as a ratio; apply ratio to real contexts and problems (such as those involving conversion, comparison, | |
| | | |scaling, mixing, concentrations) | |
| | | | | |
| |Teaching Guidance | |
| |Students should be able to: | |
| |use ratios in the context of geometrical problems, for example similar shapes, scale drawings and problem solving involving scales and measures | |
| |interpret a ratio in a way that enables the correct proportion of an amount to be calculated. | |
| |use ratio to solve, for example geometrical, algebraic, statistical, and numerical problems | |
| |use ratio to solve word problems using informal strategies or using the unitary method of solution | |
| |solve best-buy problems using informal strategies or using the unitary method of solution. | |
| |Notes | |
| |Including better value or best-buy problems. | |
| |Examples | |
| |1 |A recipe for fruit cake uses sultanas and raisins in the ratio 5 : 3 | |
| | |How many grams of sultanas should be used with 150 grams of raisins? | |
| |2 |Ann, Bob and Carl share £480 in the ratio 1 : 4 : 3 | |
| | |How much should each of them receive? | |
| |3 |Bill and Phil buy a lottery ticket. | |
| | |Bill pays 80 p and Phil pays £1.20 | |
| | |They win £6000 and divide the money in the ratio of the amounts they paid. | |
| | |How much should each of them receive? | |
| |4 |The ratio of boys to girls in a school is 5 : 6 | |
| | |There are 468 girls in the school. | |
| | |How many students are there altogether? | |
| |5 |The numbers of coins in two piles are in the ratio 5 : 3 | |
| | |The coins in the first pile are all 2 p coins. | |
| | |The coins in the second pile are all 5 p coins. | |
| | |There is 45 p in the second pile. | |
| | |How much money is in the first pile? | |
| |6 |Jen and Kim pay for a present for their mum in the ratio 7 : 9 | |
| | |Jen pays £21 | |
| | |How much did the present cost? | |
| |7 |From a bar chart showing the results for girls (small amount of discrete data): | |
| | |The ratio of the means for the girls and the boys is 1 : 2 | |
| | |Draw a possible bar chart for the boys. | |
| |8 |Cola is sold in two packs. | |
| | |A pack of 20 cans costs £4.99 and a pack of 12 cans costs £2.75 | |
| | |Which pack is better value for money? | |
| | |You must show your working. | |
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