Nayland.school.nz



CHANGING A DECIMAL TO A FRACTIONType decimal into calculatorPress =Press a b/cExercisesChange the following decimals to fractions0.540.360.950.850.760.25CHANGING A FRACTION TO A DECIMALType fraction into calculator using the a b/c buttonPress=Pressa b/cExercisesChange the following fractions to decimals?4/53/99/1089/10045/250CHANGING A PERCENT TO A FRACTIONType the number of the percent into calculator e.g. if it was 45%, type in 45Press a b/cthen 100Press=ExercisesChange the following percents to a fraction44%35%98%68%22%75%CHANGING A PERCENT TO A DECIMALType the number of the percent into calculator e.g. if it was 76%, type 76Pressa b/cthen 100Press =Pressa b/cExercisesChange the following percentages to decimals36%56%76%98%34%23%CHANGING A DECIMAL OR FRACTION TO A PERCENTPercent means out of 100. For example, 75% means 75 out of 100.To change a fraction or decimal to a %, simply multiply by 100e.g. 0.62=0.62x100=62%2/5=2/5X100=40%Sometimes you are asked word questions in which you have to work out the percent.For example:Ranui scored 7 out of 12 (7/12) in a test. What percentage is this?If only 12 out of 30 students (12/30) have done their homework, what percentage is this?ANSWER:__________________________________________________________________________________________________________________________________________________________________________________________________________________________________ExercisesChange the following fractions and decimals to percents0.349/100.965/151.983/50.8519/20Word questionsLayla got 14/20 in a recent English test. What percent is that?Candice noticed that 13 out of the 34 people in her class were boys. What percent is that?Asher has saved $40 towards a new mountain bike which costs $260. What percentage has he saved altogether?TEACHER CHECK:________________________________________________________________FINDING A PERCENTAGE OF A QUANTITYIn math the word ‘of’ means timese.g.Find 15% of 4040x15 shift = % button on calcAnswer:6e.g.Goods are reduced in a sale by 15%. What will the savings be on goods that used to be $30?30x15%=$4.50ExercisesCalculate30% of 60025% of 96020% of 120055% of 90070% of 30060% of 25090% of 64040% of 1300Word QuestionsShane is buying jeans at a local store. The cost $140 but there is a sale on with 20% off. How much will Shane save?_______________________________________________________________________Lisa sees that if she buys 2 t-shirts at $20 she will get a 40% discount. What discount will she get?________________________________________________________________________Tony needs to reduce his debt by 20% if he is going to be able to keep his house. If he is debt is $4000, how much does he need to reduce his debt?________________________________________________________________________Teacher Check__________________________________________________________________INCREASING AND DECREASING BY A PERCENTYour calculator again is your best friend here. Follow the example below to see how it is used:Important:Increase means +Decrease means-A shop owner adds on 40% to what they pay for goods. This is used to cover costs. If a shop owner buys the goods for $45, what would they sell them for?Type the following into the calculator:45x40shift = +Answer:$18A student gets a 10% bonus on his pocket money if he does well at school. If he currently gets $20 a week, how much will he get with his bonus?20x10shift =+Answer:$22Lucy goes to a 20% off sale. She buys a pair of jeans that are $55. What price will she get them for with the discount?55x20shift =-Answer: $44ExercisesCalculate the followingIncrease 300 by 15%Increase 250 by 20%Increase 200 by 25%Increase 1500 by 45%Increase 2000 by 65%Decrease 140 by 40%Decrease 250 by 25%Decrease 450 by 10%Decrease 375 by 45%Decrease 4500 by 50%Word QuestionsLaura is marking up the cost of t-shirts by 30%. If they originally cost $40, what price is she marking the t-shirts up to?________________________________________________________________________________________________________________________________________________Jim sees a sign for 20% off all cars. If a car originally cost $4500, what will the new price be with the 20% discount?________________________________________________________________________________________________________________________________________________Teacher Check__________________________________________________________________Percentages REVISIONDECIMALSYou need to knowAdding decimalse.g. 6.4 + 4.3 + 8.2Subtracting decimalse.g. 148.5 – 123.7Conversionse.g. change 23kg into poundsThree boys want to know what their combined height is. Bob is 1.7m tall, Kenny is 1.84m tall and Paul is 1.67m tall. What is their combined height?How much taller is Kenny than Bob?If you buy a book at $6.35, a ruler at $1.25 and a pen at $2.95, how much would it cost?Lara has $310.50 and Kendra has $230.90. How much more money does Lara have than Kendra?You are travelling to Australia for the next school holidays and have saved up $340 NZ dollars. How much is this in Australian dollars if $1NZ = 0.79AUS?Your sister is about to leave on her OE and has a stop over in Thailand. She wants to change $250 NZ dollars into baht (Thailand money) to spend while she is there. The current exchange rate is $1NZ = 17.49 baht. How much baht will she get?For your next holiday you are looking to travel to Dubai. You want to have saved $1400 NZ dollars to spend over there. If the current exchange rate is $1NZ = 1.79 dirhams, how much dirhams will you get?If 1kg = 2.2 pound, work out the following in pounds3.5kg9.8kg55kg95kgPERCENTAGESYou need to know how toFind a percente.g. Henry got 12 out of 20 in a test. What percent is that.Find a percentage ofe.g. What is 20% of 50Increase by a percente.g. Clothes at a store are marked up by 35%. If a t-shirt originally cost $20, what will you pay for it?Decrease by a percente.g. Jeans at the Warehouse are advertised at 15% off. If they originally cost $40, how much will you pay for them now?Lewis got 14 out of 60 in his latest English test. What percent is that?18 out of the 28 people in Richard’s class were male. What percent were male? What percent were female?In Dani’s class 30% were male. If his class had 40 students in it, how many would be male?Gavin gets paid 30% of the value of goods he sells. How much will he get paid if he sells:$4550$350$900Laura works at the House of G and has been given the responsibility to mark-up the price of the t-shirts by 30%. How much will the t-shirts cost if they were originally:$20$45$9.50Shane is shopping for some shorts. He goes into Hallensteins where they are advertising 30% off all shorts. What would a pair of shorts cost Shane if they were originally:$20$55$9.95More Percentage RevisionDo this practice assessment by yourself and without looking at your notes. This will show you whether you are ready to do the test for credits.You get into a lift with 3 of your friends. The notice on the wall says the lift will hold a maximum of 250kg. The weights of all 3 of you are as follows – 56kg, 49kg, 73kg and 65kg. Will the alarm sound in the lift to say it is over-weight? SHOW WORKINGIf Lisa was 73kg and Jodie was 56kg, how much heavier is Lisa?Ben is travelling to Australia for a holiday and has saved $480 NZ dollars. How much AUS dollars will he get if the exchange rate is $1NZ = 0.79 AUS?Simon is trying to work out how much he weighs in pounds. He is told that 1kg = 2.2 pounds. If Simon weighs 89kg, how much does he weigh in pounds?There are 352 pupils in Year 11 at Nayland.189 are male. What percentage of year 11 pupils is this? 302 students live in zone. What percentage of year 11 pupils is this?22 do not have a cell phone. What percentage of year 11 pupils is this?There are 80 classrooms in at Nayland College. 25% of them can hold more than 35 pupils. How many rooms can hold 35 pupils?At the school canteen they are advertising that 10% of the cost of your food goes towards charity. If you spend $15 on food, how much will get donated to charity?There are 150 members on staff at Nayland. 20.5% of them are under the age of 30. How many are under the age of 30?In 2000, the Nayland roll was 1200. By 2009 it had increased by 25%. How many students are on the roll for 2009?The student office at Nayland are offering 20% off calculators. If the calculator costs $20, how much will you now pay for it?At the school canteen, milkshakes are normally 500mL. This week they are offering a special where you get 35% extra. How much will you now get? ................
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