Grade DE Ratio and fractions Relate ratios to
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Grade D/E Ratio and fractions Relate ratios to fractions and linear functions If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk
Key Vocabulary Numerator Denominator Fraction Ratio Quantity Units
How to relate ratios to fractions and linear functions 1) The ratio of land to ocean in the world is 3 : 7. What fraction is land? There are 3 parts for land, 7 parts for ocean. 3 + 7 = 10 parts altogether Out of these 10 parts in total, land has 3 parts 3 ___ 10
How to relate ratios to fractions and linear functions 2) The ratio of boys to girls in a class is 2 : 5. What fraction of these pupils are boys? There are 2 parts for boys, 5 parts for girls. 2 + 5 = 7 parts altogether Out of these 7 parts in total, boys have 2 parts 2 ___ 7
How to relate ratios to fractions and linear functions 3) Paul lost 2/5 of the matches he played. What is the ratio of his wins to his losses? 2/5 means he played 5 games and lost 2. Meaning he won 3 (assuming no draws) His wins are 3 and his losses are 2 3: 2
How to relate ratios to fractions and linear functions – Now you try … 1) There are 16 boys and 18 girls in a class. What fraction of the class are boys? 2) The ratio of indoor pools to outdoor pools is 5 : 1. What fraction of the pools are indoors? 3) Bill gave £ 20 to Sue and Jill in the ratio of 2 : 3. What fraction of the money did Jill receive. 4) There are 36 pupils in a class. The ratio of boys to girls is 2 : 7. 5 girls leave the class. What fraction of the class are now girls. 5) Abigail has 32 marbles. She kept ¼ of them for herself and shared the rest between Anil and Beth in the ratio 3 : 1. What fraction of the marbles has Anil received? 6) Oli made pizza. He first cut it into quarters, then cut each slice into 3 equal slices. He ate 4 slices. What fraction of the pizza has he eaten.
How to relate ratios to fractions and linear functions – Now you try …
Problem Solving and Reasoning Amy and Jane share £ 240 in the ratio 3 : 5. Amy saves 1/4 of her money and spends a 1/5 of her remaining money on clothes. Jane saves £ 15 more than Amy and spends 40% of her remaining money on clothes. What fraction of her money does Jane spend on clothes?
Problem Solving and Reasoning Amy and Jane share £ 240 in the ratio 3 : 5. Amy saves 1/4 of her money and spends a 1/5 of her remaining money on clothes. Jane saves £ 15 more than Amy and spends 40% of her remaining money on clothes. What fraction of her money does Jane spend on clothes? 3 + 5 = 8 £ 240 ÷ 8 = £ 30 each part Amy 3 x £ 30 = £ 90 Amy’s saving 1/4 of £ 90 = £ 22. 50 £ 90 – £ 22. 50 = £ 67. 50 remaining 1/5 x £ 67. 50 = £ 13. 50 clothes Jane 5 x £ 30 = £ 150 Jane’s saving £ 22. 50 + £ 15 = £ 37. 50 £ 150 - £ 37. 50 = £ 112. 50 remaining £ 112. 50 x 40/100 = £ 45 clothes 45 Simplified: 3 10 150
Reason and explain • What fraction of a circle makes a right angle? • If 1/3 is 0. 33333… then what is 2/3 as a decimal? • True or False: ----- 3 : 7 is same as 9 : 21 ----- If there are 3 girls to every 7 boys, then 3/7 are girls. ----- If the ratio of girls to boys is 4 : 9, there could be 36 boys. ----- If the ratio of boys to girls is 2 : 5, there could be 35 pupils in total. ----- 120 ml for 85 p is better value than 150 ml for £ 1. 05.