Reasoning and Problem SolvingStep 4: Calculating RatioNational Curriculum Objectives:Mathematics Year 6: (6R1) Solve problems involving the relative sizes of two quantitieswhere missing values can be found by using integer multiplication and division factsMathematics Year 6: (6R3) Solve problems involving similar shapes where the scale factoris known or can be foundMathematics Year 6: (6R4) Solve problems involving unequal sharing and grouping usingknowledge of fractions and multiplesDifferentiation:Questions 1, 4 and 7 (Problem Solving)Developing Using the information given, determine how many of each object (2 sets) therewill be in different scenarios. Using 2, 5 or 10 times tables.Expected Using the information given, determine how many of each object (2 sets) therewill be in different scenarios.Greater Depth Using the information given, determine how many of each object (3 sets)there will be in different scenarios. Ratios need simplifying.Questions 2, 5 and 8 (Reasoning)Developing Explain whether a statement about ratio of 2 sets of objects is correct. Objectsarranged in a linear pattern and in sequence.Expected Explain whether a statement about ratio of 2 sets of objects is correct. Objectsarranged randomly and out of sequence.Greater Depth Explain whether a statement about ratio of 3 sets of objects is correct.Objects arranged randomly and out of sequence.Questions 3, 6 and 9 (Problem Solving)Developing Determine how many objects there are when given a ratio of 2 differentobjects and find the new ratio when a number of one of the objects is taken away. Using 2,5 or 10 times tables.Expected Determine how many objects there are when given a ratio of 2 different objectsand find the new ratio when a number of one of the objects is taken away.Greater Depth Determine how many objects there are when given a ratio of 3 differentobjects and find the new ratio when a number of one of the objects is taken away.More Year 6 Ratio resourcesDid you like this resource? Don’t forget to review it on our website. Classroom Secrets Limited 2019classroomsecrets.co.ukReasoning and Problem Solving – Calculating Ratio – Teaching Information
Calculating RatioCalculating Ratio1a. Jackie is decorating the house withballoons using this ratio:B:YY1b. Katie is giving her party guests partyhats using this ratio:Y:There are 20 balloons altogether.Sixteen children come to the party, 1 of4them choose a blue balloon.There are 30 party hats altogether.Eighteen children come to the party, 12of them choose a stripy hat.How many children get a blue balloon?How many children get a yellow balloon?How many spare blue and yellowballoons are there?How many children get a stripy hat?How many children get a spotty hat?How many spare stripy and spotty hatsare there?DPSDPS2a. A gardener is planting vegetables.She wants them to grow in a pattern of 1carrot and 3 onions.2b. Martin is sorting out his pencil case. Hewants to have 2 pencils for every 1 pen.Have they been planted correctly?Has he sorted it out correctly?Explain your answer.Explain your answer.DR3a. For every 4 bottles of water, there are2 cups of tea. There are 20 cups of teaaltogether.DR3b. For every 4 footballs, there are 8football boots. There are 16 football bootsaltogether.::How many bottles of water are there?How many footballs are there?If 1 of the water is taken away, what is4the new ratio of water to tea?If a pair of football boots goes missing,what is the new ratio of footballs to boots?DPS Classroom Secrets Limited 2019Dclassroomsecrets.co.ukReasoning and Problem Solving – Calculating Ratio – Year 6 DevelopingPS
Calculating RatioCalculating Ratio4a. Fred is catering for a large party.4b. Will is providing drinks for a schooldisco.For every 2 cheese pizzas, he makes 3ham pizzas.For every 4 bottles of pop, he takes 1bottle of water.1There are 60 people in the party,of3the people want a cheese pizza.There are 45 people going to the disco, 13of them want water.How many pizzas does Fred need tomake altogether?How many bottles does Will takealtogether?How many ham pizzas will he make?How many bottles of water does he take?EPSEPS5a. A florist is arranging flowers. She wantsto arrange the flowers using the ratio 3yellow flowers to every 1 red flower.5b. Caleb is sorting jam flavours. He wantsto arrange the flavours using the ratio 2marmalade to every 3 strawberry jam.Have the flowers been arrangedcorrectly?Have the flavours been arrangedcorrectly?SExplain your answer.EMSMMMMSSMSSMSSMSExplain your answer.RE6a. For every 4 boys in the class, there are3 girls. There are 16 boys altogether.6b. For every 2 cats in the kennel, thereare 6 dogs. There are 24 dogs altogether.Half of the boys are out of the classroomone afternoon.One third of the dogs are out on theirwalk.What is the new ratio of boys to girls?What is the new ratio of cats to dogs?What is the new total number of pupils?What is the new total number of animals?EPS Classroom Secrets Limited 2019Eclassroomsecrets.co.ukReasoning and Problem Solving – Calculating Ratio – Year 6 ExpectedRPS
Calculating RatioCalculating Ratio7a. Manjit is organising his work clothes.For every 2 ties, there are 8 shirts and 4suits.7b. Amaya is making drinks. For every 4coffees, she makes 8 teas and 6 orangejuices.What is the simplified ratio of ties to shirtsto suits?What is the simplified ratio of coffee, teaand orange juice?He has 28 items in his work wardrobe, butdecides to get rid of half of his shirts.She has 36 drinks to make in total, butone quarter of the coffee orders arecancelled.How many coffee orders does she havenow? How many orange juice ordersdoes she have?How many shirts does he now have?How many ties and suits could he get ridof to keep the ratio the same?GDPSGDPS8a. A shopkeeper is organising the drinksshelf. She wants the drinks to follow theratio 3 cherry to every 2 cola and 1 soda.8b. Luca chooses three colours for a stripyscarf and decides he wants to use the ratio1 red for every 4 blue and 3 green.Have the drinks been arranged correctly?Has the scarf been knitted correctly?R B B B B G G G R R B B B B G GExplain your answer.GDExplain your answer.RGDR9a. For every 12 geese on a farm, thereare 6 sheep and 4 goats. There are 44animals on the farm altogether.9b. For every 2 three year old boys atnursery, there are 4 two year old boysand 2 four year old boys. There are 24boys altogether.One third of the geese go missing onemorning.The number of two year old boysincreases by half.What is the new simplified ratio of geeseto sheep and goats?What is the new simplified ratio of 3, 2 and4 year old boys?What is the new total number of animals?What is the new total number of boys?GDPS Classroom Secrets Limited 2019GDclassroomsecrets.co.ukReasoning and Problem Solving – Calculating Ratio – Year 6 Greater DepthPS
Reasoning and Problem SolvingCalculating RatioReasoning and Problem SolvingCalculating RatioDeveloping1a. 4 get blue, 12 get yellow. There are 4balloons left over (1 blue, 3 yellow).2a. No because she needs 1 more onion.3a. 40 bottles of water. 30:20 (accept 3:2)is the new ratio.Developing1b. 9 choose stripy, 9 choose spotty. Thereare 12 hats left over (11 stripy, 1 spotty).2b. No because there are 1 too manypencils.3b. 8 footballs. 8:14 (accept 4:7) is the newratio.Expected4a. 50 pizzas altogether, 30 ham pizzas.5a. No because there are 1 too many redflowers (or not enough yellow flowers).6a. 8:12 (accept 2:3), 20 pupils (8 boys, 12girls).Expected4b. 75 bottles altogether, 15 water bottles.5b. No because there are 2 too many jarsof marmalade (or not enough jam).6b. 8:16 (accept 1:2), 24 animals (8 catsand 16 dogs).Greater Depth7a. 1:4:2, 8 shirts, 2 ties and 4 suits.8a. No there are 1 too many sodas.9a. 4:3:2, 36 animals (16 geese, 12 sheep,8 goats).Greater Depth7b. 2:4:3, 6 coffee orders, 12 orange juiceorders.8b. No because there are 1 too many redsand 1 too few greens.9b. 1:3:1, 30 boys altogether (6 threeyears, 18 two years, 6 four years). Classroom Secrets Limited 2019classroomsecrets.co.ukReasoning and Problem Solving – Calculating Ratio ANSWERS
Reasoning and Problem Solving Calculating Ratio Reasoning and Problem Solving Calculating Ratio Developing 1a. 4 get blue, 12 get yellow. There are 4 balloons left over (1 blue, 3 yellow). 2a. No because she needs 1 more onion. 3a. 40 bottles of water. 30:20 (accept 3:2) is the new ratio. Expected 4a. 50 pizzas altogether, 30 ham pizzas. 5a.