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GCSE Mathematics. Targeting Grade C. Number Unit 6 Ratio. If not you need. Can you… Find parts of a ratio Share an amount in a ratio Try a test. TOP : Review simple ratios Practice 1: Cancelling ratios and finding missing parts
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GCSE Mathematics Targeting Grade C Number Unit 6 Ratio
If not you need • Can you… • Find parts of a ratio • Share an amount in a ratio • Try a test TOP: Review simple ratios Practice 1: Cancelling ratios and finding missing parts Practice 2: Sharing an amount in a given ratio TAIL
TOP: Solve these simple ratio questions • Bob has 7 pens and Sarah has 14 pens. Write this as a ratio in its simplest terms. • Joanne has 12 kittens and Louie has 3 kittens. Write this as a ratio in its simplest terms. • Write these ratios in their lowest terms: (a) 5 : 35 (b) 28 : 14 (c) 18 : 36 : 42 (d) 40cm : 1m Lesson
Practice 1: Cancel the following ratios into their lowest terms: • 15 : 20 • 35 : 40 • 10 : 35 • 8 : 24 • 120 : 150 Using the given ratio, find the missing part in the second ratio in each question. • 3 : 4 (7) 3 : 7 (8) z : 5 x : 12 12 : y 15 : 20 • 12 : 15 (10) 8 : 4 (11) 2 : 5 a : 3 32 : b 9 : c Lesson
Practice 2: Solve the following ratio problems: • Malika's father won £128. He shared the £128 between his three children in the ratio 6:3:1. Malika was given the biggest share. Work out how much money Malika received. • Bill gave his three daughters a total of £32.40. The money was shared in the ratio 4:3:2. Jane had the largest share. Work out how much money Bill gave to Jane. • Georgina split £26 between her children Fred and Sue in the ratio 3:1. How much did each child get? • Catherine bought 150 cakes to be split between her three maths classes 11A, 11B & 11C. They were split in the ratio 5:6:4. Work out how many cakes each group got. Lesson
TAIL (1)In a recipe that makes 8 cakes, I use 200g flour, 200g butter, 100g sugar and four eggs. How much of each ingredient will be needed for (a)16 cakes (b)12 cakes (c)36 cakes? (1) (a) 400, 400, 200, 8 (b)300, 300, 150, 6 (c) 900, 900, 450, 18 (2) Bronze is made from copper and tin. The ratio of the weight of copper to the weight of tin is 3:1. (a)What weight of bronze contains 36 grams of copper? (b)Work out the weight of copper and the weight of tin in 120 grams of bronze. (2) (a) 36 3 = 12, 12 + 36 = 48 (b) 120 4 = 30 30 3 = 90 30 1 = 30 • (3) Kylie went to Paris and changed £200 into euros. The exchange rate was £1 = 9.6 euros. • Work out the number of euros Kylie got. • When Kylie came home she bought back 25 euros. The exchange rate was £1 = 10 euros. • Work out how much she had got in pounds. (3) (a) 200 9.6 = 1920€ (b)25 10 = £2.50 Are you ready for the answers ? Lesson