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YEAR 10June 29th 2020These following questions are based on key skills you have. These are topics you have covered more than once so this is excellent GCSE practice. You really need to reinforce those ratio and percentage skills.Remember, working out is key. You can gain marks in your exams for working out if your final answer is incorrect. The big 5 mark questions will insist on working out so get in the habit.Good luck. Email me on wbevis@ if you want me to call you about anything. If you don’t use email, you can call the school and they will contact me.1) Write the following ratios in their simplest form a) 3 : 24 c) 8 : 12 : 10 ___:___ ___:___:___ b) 6 : 20 d) 18 : 6 : 54 ___:___ ___:___:___2) The scale on a map is 1 : 10000 a) Parnby is 17 cm from Houth on the map. How many km is Parnby from Houth? _____ km b) If Houth is 11.5km from Kikby, how many cm apart will they be on the map? _____ cm 3) Here are the ingredients needed to make 10 flapjacks. Work out the amount of each ingredient needed to make 25 flapjacks.100 g Oats 80g Butter 50ml Syrup 54g Sugar 4) 225 g of butter are needed to make 18 mince pies. Anais has 475 g of butter. Does she have enough butter to make 40 of these mince pies? You must show all your working. 5) A pack of 4 pens costs ?1.60 A pack of 6 pens costs ?1.80 Which pack is the best value for money? You must show all your working.6) A 3kg bag of potatoes costs ?2.79 A 5kg bag of potatoes costs ?4.85 Which is the best value for money? You must show all your working7) Brian made 8 pancakes with 160g of flour. a) How many pancakes can he make with 320 g of flour? _____ b) How many pancakes can he make with 200 g of flour? _____ 8) If 6 mangoes cost ?7.50, how much would 10 of them cost? _____ 9) 3 people can build a wall in 4 hours. How long would it take 2 people to build the same wall?10) Emma is travelling to Munich. She changes ?450 into Euros (€). The exchange rate is ?1 = €1.37 Work out how many € Emma gets. On her return home, Emma still has €152 She wants to change them back to ? The exchange rate is now ?1 = €1.33 b) Work out how many ? she would get. 11) Bill, Tim and Rose share ?120 between them in the ratio 2 : 1 : 3 How much should each of them receive? 12) Yasmin and Ibrahim buy a present for their dad, sharing the cost in the ratio 6 : 5 Ibrahim pays ?15 How much did the present cost? 13) To obtain the desired colour for his project, Rick is mixing red paint with yellow paint in the ratio 5 : 3 A litre of red paint costs ?4.99 and a litre of yellow paint costs ?7.99 If Rick needs 40 litres of his desired colour, how much will it cost him?14) In a class, the ratio of boys to girls is 3 : 2 a) What fraction of the class are boys? b) What fraction of the class are girls? 15) Miles and km are in the ratio 5 : 8 a) Draw a graph to illustrate this. (CLUE This is a conversion graph)Use your graph to convert 12km to miles. Carol is on a 1200km journey by car. She has already travelled 300 miles. Work out how many km she has left. 16) A television is sold at ?799 + VAT. VAT is at 20%. What is the total cost of the television? 17) Tiles cost ?1.65 each. Tiles4u offers “30% off when you spend over ?200”. How much will it cost to buy 150 tiles? 18) A plane increases its cruising speed from 400mph to 550mph. Work out the percentage speed increase. 19) Harry made 75 mince pies for the school fair. He sold 80% of those at 80p each and the remaining 20% at “3 for ?2.00” The 75 mince pies cost him ?35 to make. Work out his percentage profit (to 1 d.p.)20) In a sale, prices are reduced by 12%. Hani bought a pair of boots for the sale price of ?61.60 What was the original price of the boots? 21) Jane was paid ?154 this week. This is a 10% increase from last week. How much was she paid last week.22) Fran has ?350 in her savings account. 3% simple interest is paid each year. How much interest will she earn in 5 years? 23) Ellie invested ?900 in the bank for 4 years. She earned ?162 simple interest. What was the simple interest rate per annum? 24) A motorcycle travels 90km in 1?hours. Work out its average speed in km/h. A car travels at an average speed of 50mph for 30mins and then 70mph for 2hours. Work out the average speed of the car (mph) over the whole journey.Eve invests ?3000 at 3.6% compound interest per annum. Work out the value of the investment after 5 years. A ?55000 car depreciates at the rate of 18% each year. How much would it be worth after 10 years?28)There are 20 sweets in a packet.12 of the sweets are mints.The rest of the sweets are toffees.Write down the ratio of the number of mints to the number of toffees.Give your ratio in its simplest form.(2)29)Amy bought 17 footballs for a total cost of ?50.83.James bought 11 footballs.The cost of each football bought by Amy and James was the same.Work out how much James paid for his 11 footballs.(2)30)A 10 pence coin is made from copper and nickel.The ratio of the weight of copper to the weight of nickel is 18:6Write the ratio 18:6 in its simplest form(1)31)A recipe for cake requires 450 grams of flour and 175 grams of butter.Write down the ratio of grams of flour to grams of butter.Give your answer in its simplest form.32)There are 40 chocolates in a box.12 chocolates are plain chocolates.The remaining chocolates are milk chocolates.(a)Work out the ratio of the number of plain chocolates to the number of milk chocolates in the box.Give your ratio in its simplest form.(2)Some plain chocolates are added to the box so that the ratio of the number of plain chocolates to the number of milk chocolates is 1 : 2(b)Work out how many plain chocolates are added to the box.(2)33)A model is made of an aeroplane.The length of the model is 18 centimetres.The length of the real aeroplane is 45 metres.Work out the ratio of the length of the model to the length of the real aeroplane.Write your answer in the form 1 : n.34)Rosa prepares the ingredients for pizzas.She uses cheese, topping and dough in the ratio 2 : 3 : 5Rose uses 70 grams of dough.Work out the number of grams of cheese and the number of grams of topping Rosa uses.Cheese ......................... gTopping ....................... g(3)35)Here are the ingredients needed to make 500 ml of custard.Custardmakes 500 ml400 ml of milk3 large egg yolks50 g sugar2 teaspoons of cornflour(a)Work out the amount of sugar needed to make 2000 ml of custard.(2)(b)Work out the amount of milk needed to make 750 ml of custard.36)Here is a recipe for making 10 chocolate chip cookies.Chocolate Chip CookiesMakes 10 cookies.100 g of flour60 g of sugar50 g of margarine40 g of chocolate chips2 eggsWork out the amounts needed to make 15 chocolate chip cookies.…………… g of flour…………… g of sugar…………… g of margarine…………… g of chocolate chips…………… eggs(3)37)This is a recipe for making Spaghetti Carbonara for 4 people.Spaghetti CarbonaraIngredients for 4 people400 g of spaghetti120 g of bacon2 tablespoons of oil4 eggs50 g of cheeseBill is making Spaghetti Carbonara for 6 people. Work out the amount he needs.(3)38)This is a list of ingredients for making a pear & almond crumble for 4 people.Ingredients for 4 people.80 g plain flour60 g ground almonds90 g soft brown sugar60 g butter4 ripe pearsWork out the amount of each ingredient needed to make a pear & almond crumble for 10 people...................... g plain flour..................... g ground almonds..................... g soft brown sugar..................... g butter..................... ripe pears(3)39)Brass is made up of copper and zinc.Every 100 grams of brass contains 20 grams of zinc.(a)Work out the weight of zinc in 60 grams of brass.……………………… g(2)Brass contains 4 parts by weight of copper to 1 part by weight of zinc.(b)Work out the weight of copper in 350 grams of brass. (2)40)3 metres of ribbon cost ?1.26.Work out the cost of 5 metres of the same ribbon.41)Alex and Ben were given a total of ?240They shared the money in the ratio 5 : 7Work out how much money Ben received.(2)42)Jack and Jill share ?18 in the ratio 2:3Work out how much each person gets.Jack ? ……………..Jill ? ……………....( 2)43)Derek, Erica and Fred share ?108 in the ratio 3:4:2Calculate the amount of money Erica gets. (3)44)Verity and Jean share ?126 in the ratio 5 : 3Work out how much money Verity receives. (2)45)Ken and Susan share ?20 in the ratio 1 : 3Work out how much money each person gets.(2)46)Kamini and David share ?84 in the ratio 1 : 3Calculate the amount of money Kamini gets. ................
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