Pre-Learning



Pre-LearningAssessmentYear 8 Module 4: Proportional Reasoning405157052637You need: A PenA PencilA RulerYou DO NOT need:A Calculator00You need: A PenA PencilA RulerYou DO NOT need:A CalculatorName: ………………………………………………………………….Class: ……………………………………………………………………Teacher: ……………………………………………………………….What are we learning this half term?Unit 7: Percentage ChangeIn this Unit you will consolidate your understanding of percentages including percentages greater than 100, expressing a quantity as a percentage of another and comparing two quantities using percentages. You will also learn to increase or decrease a quantity by a given percentage and use reverse percentages to find an original quantity.Unit 8: Ratio and RateIn this Unit you will learn to compare two or more quantities by ratio and to relate ratios to fractions. You will be able to give equivalent ratios and divide a quantity in a given ratio. You will then apply your understanding of ratio to the relationship between distance, time and speed. center0Pre-Learning Assessment Mark:50Teacher Comment:020000Pre-Learning Assessment Mark:50Teacher Comment:2916987317500 (a)????Half of this square is shaded. What percentage of the square is shaded?? ....................... % (1)(b)???? What percentage of this square is shaded?? ....................... % (1)Each diagram in this question is drawn on a square grid.50% of this diagram is shaded.Shade 20% of each of the diagrams below(2) The scale shows both percentages and decimals.Fill in the missing decimals in the gaps below.????????? The first one is done for you.60% is the same as?? .......0.6......30% is the same as?? ..................(1)3% is the same as???? ..................(1) ?12 of the diagram below is shaded.(a)???? Look at this diagram:????????? What fraction is shaded? ………………………………(1) ????????? What percentage is shaded?.............................. % (1) (b)???? Shade ?25 of the diagram below:(1) ????????? What percentage of the diagram have you shaded?.............................. % (1) Each diagram below was drawn on a square grid.Write what percentage of each diagram is shaded.The first one is done for you.675640-63500545063741275750075…………………%6743703693800…………………% (1)67437010922000…………………% (1)(b)? Explain how you know that 1212 % of the diagram below is shaded.167459010786900…...………………………………………………………………………………………………………………………………………….. ………………………………………………………………………………………………………………………………………….. (1) (c)???? Shade 3712 % of the diagram below.16097258953500 (1)Work out the missing values.???????10%???of???84?? =???? ..................5% ????of???84?? =???? ..................212 % ?of???84?? =???? ..................(2)(a)???? Work out 10% of 360????....................... (1)(b)???? Work out 15% of 360????????? You can use part (a) to help you.???...................... (1)This is how Carly works out 15% of 120 in her head. (a)???? Show how Carly can work out 17 12 % of 240 in her head.(2)(b)???? Work out 35% of 520. Show your working.???(2)The table shows whether pupils in a class walk to school.??Walk to schoolDo not walk to schoolBoys28Girls510 What percentage of the boys walk to school??..................... % (1) What percentage of the pupils in this class walk to school? ..................... % (2)The average mass of a female heart is 270 grams.The average mass of a male heart is 20% greater than the average mass of a female heart.What is the average mass of a male heart?Show your working, and write your answer to the nearest gram.??........................... g (2) The price of a coat is ?6In a sale the price is reduced by 30%What is the sale price of the coat???? ? ……………………. (2)(a)???? Look at this information about recycling:?25 large plastic bottles can be recycled to make 1 fleece jacket. Write the missing number in this sentence.?? 200 large plastic bottles can be recycled to make ...................... fleece jackets.(1) (b)???? In a survey, 17 out of 20 people said they would like to recycle more. What percentage of people said they would like to recycle more????? ...................... % (1)Work out the number of boys and girls in each class below. (a)???? In class 8M, there are 27 pupils.????????? There are twice as many boys as girls.??Number of boysNumber of girls..........................................(1) (b)???? In class 8K, there are 28 pupils.? ???????? There are two more boys than girls.??Number of boysNumber of girls..........................................(1)(c)???? In class 8T, there are 8 boys.????????? The ratio of boys to girls is 1 : 2??Number of boysNumber of girls..........................................(1)4858115-9918200(a)???? Nigel pours 1 carton of apple juice and 3 cartons of orange juice into a big jug.What is the ratio of apple juice to orange juice in Nigel's jug?apple juice : orange juice = ..................... : .....................(1)Lesley pours 1 carton of apple juice and 1 ? cartons of orange juice into another big?jug.What is the ratio of apple juice to orange juice in Lesley's jug?apple juice: orange juice = ..................... : .....................(1)4274820-5969000A packet of Tasty contains fruit and cereal.Altogether, the mass of fruit and cereal is 500 g. 40% of it is fruit. 60% is cereal.(a)???? How many grams of fruit does this packet of Tasty contain???.....................grams (1)(b)???? How many full 60 gram servings can you get from one packet of Tasty???.................servings (1)(c)???? The ratio of fruit to cereal in a packet of Tasty is 40 : 60Write this ratio in its simplest form.?? ............................... (1) A dessert has both fruit and yoghurt inside.44021715646100Altogether, the mass of the fruit and yoghurt is 175g.The ratio of the mass of fruit to the mass of yoghurt is 2 : 5What is the mass of the yoghurt???...................... g (2)Paul is 14 years old.His sister is exactly 6 years younger, so this year she is 8 years old. This year, the ratio of Paul’s age to his sister’s age is 14 : 814 : 8 written as simply as possible is 7 : 4When Paul is 21, what will be the ratio of Paul’s age to his sister’s age?Write the ratio as simply as possible.? ........................ : .....................(1) (b)???When his sister is 36, what will be the ratio of Paul’s age to his sister’s age? Write the ratio as simply as possible.? ........................ : .....................(1) (c)???? Could the ratio of their ages ever be 7 :7? Tick () Yes or No.?71036210160?620395-3810Yes??NoExplain how you know. A rescue helicopter travelled 480 miles in 6 hours. What was its average speed in miles per hour?…………………..……..…mph (1)A bus travels 8 miles in 15 minutes. What is the bus’s average speed in miles per hour? …………………..……..…mph (1)Jane takes 24 minutes to cycle 8 times around a 600 metre track. Assuming she cycles at a constant speed, how long does she take to cycle 1 kilometre? …...........................…..…….. (2)Nat skates at a speed of 10 miles per hour. She skates a course of 25 miles.If she increases her skating speed by 5 miles per hour, how much less time will she take? …...........................…..…….. (2) ................
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