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10 Cards in this Set

  • Front
  • Back

Questions


1) Find 40% of £350


2) Find 60% of 90p


3) Find 25% of 400km


4) Find 75% of 700kg


5) Find 35% of 5500


6) Express 16 out of 40 as a percentage


7) Express 17 out of 20 as a percentage


8) Express 3 out of 5 as a percentage


9) A student scores 14 out of 25 in a test. What percentageis this?


10) 10 out of 15 cats preferred salmon to pilchards. Whatpercentage is this? (Answer to 1 decimal place.)

ANSWERS



Q1. £140




Q2. 54p




Q3. 100km




Q4. 525kg




Q5. 1925




Q6.40%




Q7. 85%




Q8. 60%




Q9. 56%




Q10. 66.7%

Questions

1) Find 35% of £460


2) Find 45% of £10.60


3) Find 11% of 3500km


4) Find 22% of 8kg


5) Find 16% of 420


6) Express 54 out of 90 as a percentage


7) Express 60 out of 75 as a percentage


8) Express 7 out of 35 as a percentage


9) A student scores 33 out of 60 in a test. What percentageis this?


10) 30 out of 250 mice preferred cheddar to stilton. Whatpercentage is this?

ANSWERS



Q1. £161




Q2. £4.77






Q3. 385km




Q4. 1.76kg




Q5. 67.2






Q6.60%




Q7. 80%




Q8. 20%




Q9. 55%




Q10. 12%

1)Match these 10 decimals with their fraction equivalents:

1) 0.01 a)5/8


2) 0.25 b)4/5


3) 0.35 c)22/25


4) 0.72 d)7/40


5) 0.125 e)18/25


6) 0.8 f)1/4


7) 0.12 g)3/25


8) 0.625 h) 7/20


9) 0.88 i)1/8


10) 0.1 j)1/100




2) Write these decimals as fractions (in lowest terms – i.e.cancel as far as possible) e.g. 0.65 = 65/100 = 13/20


ANSWER


1) 0.4


2) 0.45


3) 0.6


4) 0.36


5) 0.036


6) 0.005


7) 0.025


8) 0.004


9) 0.375


10) 0.405

ANSWERS

1 1) j 2) f 3) h 4) e 5) i 6) b 7) g 8) a 9) c 10) d












2


1) 2/5 2) 9/20 3) 3/5 4) 9/25 5) 9/250 6) 1/200 7) 1/40 8)1/250 9) 3/8 10) 81/200

1. The distance from London to Cambridgeby road is 60 miles.

a) If a car travels at an average speed of 30 mph, how longwill it take?


b) If a coach travels at an average speed of 20 mph, howlong will it take?


c) If a cyclist travels at an average speed of 10 mph, howlong will it take?


d) If a motorbike travels at an average speed of 40 mph, howlong will it take?


2. A car uses 1 litre of petrol to travel 6 miles


a) How many litres will it need for a journey of 72 miles?


b) How many litres will it need for a journey of 100 miles?(Answer to 1 decimal place)


c) How far can it travel with 35 litres of petrol? d) How far can it travel with 42.5 litres of petrol?


3. The distance from Paristo Marseille by road is 750 km


a) If a car travels at an average speed of 100 km/hour, howlong will it take? (Answer in hours and minutes)


b) If a coach travels at an average speed of 90 km/hour, howlong will it take? (Answer in hours and minutes)


c) If a motorbike takes 12 hours for the journey, what isits average speed in km/hour? 4. Car A uses 1 litre of petrol to travel 10km


a) How many litres will it need for the return trip from Paris to Marseille?


b) A litre of petrol costs £1.25. What is the cost of thereturn trip from Paristo Marseille?


c) Car B will travel 12 km using 1 litre of diesel, whichcosts £1.40 per litre. Is it cheaper to make the return trip using car A or carB? By how much?

Answers

Q1


a) 2 hours


b) 3 hours


c) 6 hours


d) 1.5 hours


Q2.


a) 12 litres


b) 16.7 litres


c) 210 miles


d) 255 miles


Q3.


a) 7 hr 30 min


b) 8hr 20 min


c) 62.5 km/hr


Q4.


a) 150 litres


b) £187.50


c) car B is cheaper by£12.50

One litre is equivalent to 0.22 gallons

a) Convert 10 litres into gallons


b) Convert 100 litres into gallons


c) What is litre in gallons? (answer to 2 decimal places)


d) Convert 250 litres into gallons


2. Petrol is on sale at £1.28 per litre. It costs Jane£75.52 to completely fill the petrol tank of her car. How many litres does thetank hold?


3. There are 4.55 litres in 1 gallon.


a) Convert 10 gallons into litres


b) Convert 5 gallons into litres


c) What is 1 litre equivalent to in gallons? (answer to 2decimal places)


d) What are 40 litres equivalent to in gallons? (answer to 2decimal places)


4. Petrol is on sale at £1.30 per litre. What is theequivalent price per gallon? (answer to the nearest penny)


5. In 1990, petrol was on sale at £2.14 per gallon. What isthe equivalent price per litre? (answer to the nearest penny)

Answers

Q1


a) 2.2


b) 22


c)0.06


d) 55


Q2. 59


Q3.


a) 45.5 litres


b) 22.75 litres


c) 0.22 gallons


d) 8.79gallons


Q4. £5.92


Q5. 47 pence

Q1. How much change would I get from a £10 note, if I bought4 pineapples costing £1.85 each?

Q2. How much would I earn for 12 hours work, if I was paid£13.60 per hour?


Q3. Find 80% of £250.


Q4. A student scored 18 marks out of 20. What percentage isthis?


Q5. 2/3 of a sum of money is £6.80. What is the sum ofmoney?


Q6. Multiply 327 by 600.


Q7. Three numbers have an average of 15. Two of them are 12and 18. What is the third number?


Q8. What is the modal initial letter of the 12 months of theyear?


Q9. A car averages 36 miles per gallon. How many gallonswould it need for a return journey from Londonto Leeds, which is 216 miles each way?


Q10. Using 1 kilogram equals 2.2lbs, how many lbs arethere in 16 kilograms?

ANSWERS

Q1. £2.60


Q2.£163.20


Q3. £200


Q4. 90%


Q5. £10.20


Q6.196,200


Q7. 15


Q8.J


Q9. 12


Q10.35.2



1. If I worked 40hrs/week @ £8.50 / hr, what would be myweekly wage?

2. If I was then taxed at a rate of 15%, how much would Ireceive?


3. What mark out of 20 is equivalent to 85%?


4. You are trying to organise a school trip to a localmuseum. You want to take a class of 25 pupils, and the museum requires a pupil: staff ratio of at most 10 : 1. How many staff must go on the trip?


5. The school gives you a budget of £120. Entry fees to themuseum are £3/child and £5/adult. The price for a 30 – seater coach is £20. Canyou afford the trip, assuming these are your only costs?


6. The coach journey to and from the museum lasts 30 minsand it will take 3 hours to go around the museum. Leaving an hour for lunch,and 30 mins for general loss of time, what time must you leave in order to beback at school for 3pm?


7. 1/5 of the class require a vegetarian meal for theirlunch. How many vegetarian lunches should you order?


8. For a chemistry experiment, you require 8kg of a certain chemical.This chemical must be imported from a company in America, which requires the orderto be in pounds. Using the conversion 1kg = 2.2 lbs, how much should you order?


9. For a class activity, each pupil requires ten 5cm piecesof string. If there are 30 pupils in the class, string comes in balls of 5m inlength, and each ball costs £1.50, how much must you spend?




Mark No.of pupils Mark No. of pupils


10 1 4 5


9 2 3 3


8 1 2 3


7 4 1 0


6 3 0 2


5 6


10. For the above test, what was the


a) mean score? (answer to 1d.p.);


b) the modal score?


c) the median score?


11. You decide to give prizes to the top 10% in the test.What mark did pupils need to win a prize?


12. Travelling to a conference 75 miles away, and averaging50 miles / hr, how long does it take you to get to the conference, in minutes? 13. A parent at parents’ evening who forgot to book anappointment asks for a meeting. The time now is 18.00 and you have twelve 6minute interviews remaining (no gaps between meetings). When should you ask theparent to return?

ANSWERS 1. £340 2. £289 3. 17 4. 3 5. Yes (total costs are£110) 6. 09.30 7. 5 8. 17.6 lbs 9. £4.50 10. a) 4.9 b)5 c) 5 11. 9 12. 90minutes 13. 19.12 (or 19.15 say).
To get the best out of the next 2 sets of twelve questions,try to get someone to read them out to you (whilst annoying get them to readthem out twice) and then time you giving you 18 seconds for each. You canalways review the questions afterwards and change the colour pen so you can see how well you did.

1. Teachers organised activities for six classes of twentythree pupils and five classes of twenty six pupils. What was the total numberof pupils involved?


2. All fifteen pupils in a class took part in a sponsoredspell to raise money for charity. The pupils were expected to get an average oftwelve spellings correct each. The average amount of sponsorship was twentyfour pence for each correct spelling. How many pounds would the class expect toraise for charity?


3. As part of the numeracy work in a lesson, pupils wereasked to stretch a spring to extend its length by twenty percent. The originallength of the spring was forty centimetres. What should be the length of theexpected spring? Give your answer in centimetres.


4. For a science experiment a teacher needed fifty-fivecubic centimetres of vinegar for each pupil. There were thirty pupils in theclass. Vinegar comes in 500 cubic centimetre bottles. How many bottles ofvinegar were needed?


5. The morning session in a school began at 0805. There werethree lessons of forty five minutes each and one break of twenty minutes. Atwhat time did the morning session end? Give your answer using the 24 hourclock. 6. Twelve out of twenty five pupils scored full marks in atest. What percentage of pupils scored full marks?


7. What is six hundred and forty five divided by 0.01?


8. In a class of twenty seven pupils, three need additionalsupport. What fraction of the class do not need additional support? Give youranswer in its lowest terms.


9. A teacher took a group of pupils to an aquarium whilstvisiting Spain.The total entrance cost for the group was three hundred euros. Taking one pointfive euros as equal to one pound, what was the total entrance cost, in pounds,for the group of pupils?


10. A pupil achieved forty eight marks out of a possibleeighty in a test. What percentage mark did the pupil achieve for the test?


11. A school trip was planned at a total cost of one hundredand twenty five pounds per pupil. The accommodation cost two fifths of thetotal. What was the cost of the accommodation per pupil?


12. A school’s policy for Key Stage two was to set fourhours and forty minutes of homework per week. What was the mean number ofminutes to be spent on homework per weekday evening?

1. Teachers organised activities for seven classes of twentytwo pupils and three classes of twenty eight pupils. What was the total numberof pupils involved?

2. All twenty two pupils in a class took part in a sponsoredspell to raise money for charity. The pupils were expected to get an average offifteen spellings correct each. The average amount of sponsorship was twentypence for each correct spelling. How many pounds would the class expect toraise for charity?


3. As part of the numeracy work in a lesson, pupils wereasked to stretch a spring to extend its length by eighty percent. The originallength of the spring was thirty centimetres. What should be the length of theexpected spring? Give your answer in centimetres.


4. For a science experiment a teacher needed eighty-fivecubic centimetres of vinegar for each pupil. There were twenty pupils in theclass. Vinegar comes in 500 cubic centimetre bottles. How many bottles ofvinegar were needed?


5. The morning session in a school began at 0825. There werefive lessons of thirty five minutes each and one break of fifteen minutes. Atwhat time did the morning session end? Give your answer using the 24 hourclock. 6. Twelve out of twenty pupils scored full marks in a test.What percentage of pupils scored full marks?


7. What is six hundred and forty five multiplied by by 0.01?


8. In a class of eighteen pupils, three need additionalsupport. What fraction of the class do not need additional support? Give youranswer in its lowest terms.


9. A teacher took a group of pupils to an aquarium whilstvisiting London.The total entrance cost for the group was four hundred and fifty euros. Takingone point seven five euros as equal to one pound, what was the total entrancecost, in pounds, for the group of pupils?


10. A pupil achieved forty two marks out of a possible sixtyin a test. What percentage mark did the pupil achieve for the test?


11. A school trip was planned at a total cost of two hundredand thirty pounds per pupil. The accommodation cost three fifths of the total.What was the cost of the accommodation per pupil?


12. A school’s policy for Key Stage two was to set two hoursand forty minutes of homework per week. What was the mean number of minutes tobe spent on homework per weekday evening?

Percentage questions

Seven out of twenty five pupils scored full marks in a test.What percentage of pupils scored full marks?


Nine out of twenty pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Seven out of ten pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Eleven out of twenty pupils scored full marks in a test.What percentage of pupils scored full marks?


Twenty two out of twenty five pupils scored full marks in atest. What percentage of pupils scored full marks?


Three out of five pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Sixteen out of twenty pupils scored full marks in a test.What percentage of pupils scored full marks?


Nineteen out of twenty five pupils scored full marks in atest. What percentage of pupils scored full marks?


Thirty seven out of fifty pupils scored full marks in atest. What percentage of pupils scored full marks?


Twenty four out of twenty five pupils scored full marks in atest. What percentage of pupils scored full marks?


Two out of five pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Seven out of ten pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Nineteen out of twenty pupils scored full marks in a test.What percentage of pupils scored full marks?


Ten out of thirty pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Eighteen out of twenty four pupils scored full marks in atest. What percentage of pupils scored full marks?


Twenty out of sixty pupils scored full marks in a test. Whatpercentage of pupils scored full marks?


Six out of twenty four pupils scored full marks in a test.What percentage of pupils scored full marks?


Eight out of twenty four pupils scored full marks in a test.What percentage of pupils scored full marks?


Two out of twenty five pupils scored full marks in a test.What percentage of pupils scored full marks?


Thirty nine out of fifty pupils scored full marks in a test.What percentage of pupils scored full marks?


Forty seven out of fifty pupils scored full marks in a test.What percentage of pupils scored full marks?


Thirty six out of forty eight pupils scored full marks in atest. What percentage of pupils scored full marks?


Twelve out of forty eight pupils scored full marks in atest. What percentage of pupils scored full marks?


Seventy two out of ninety six pupils scored full marks in atest. What percentage of pupils scored full marks?

You can use a calculator for these. The first question wouldbe 0.35 x 31

1) Find 40% of £350


2) Find 60% of 90p


3) Find 25% of 400km


4) Find 75% of 700kg


5) Find 35% of 5500


6) Express 16 out of 40 as a percentage


7) Express 17 out of 20 as a percentage


8) Express 3 out of 5 as a percentage


9) A student scores 14 out of 25 in a test. What percentageis this?


10) 10 out of 15 cats preferred salmon to pilchards. Wha tpercentage is this?


1) Find 35% of £460


2) Find 45% of £10.60


3) Find 11% of 3500km


4) Find 22% of 8kg


5) Find 16% of 420


6) Express 54 out of 90 as a percentage


7) Express 60 out of 75 as a percentage


8) Express 7 out of 35 as a percentage


9) A student scores 33 out of 60 in a test. What percentageis this? 10) 30 out of 250 mice preferred cheddar to stilton. What


percentage is this?

1. If I worked 40hrs/week @ £8.50 / hr, what would be myweekly wage?

2. If I was then taxed at a rate of 15%, how much would Ireceive?


3. What mark out of 20 is equivalent to 85%?


4. You are trying to organise a school trip to a localmuseum. You want to take a class of 25 pupils, and the museum requires a pupil: staff ratio of at most 10 : 1. How many staff must go on the trip?


5. The school gives you a budget of £120. Entry fees to themuseum are £3/child and £5/adult. The price for a 30 – seater coach is £20. Canyou afford the trip, assuming these are your only costs?


6. The coach journey to and from the museum lasts 30 minsand it will take 3 hours to go around the museum. Leaving an hour for lunch,and 30 mins for general loss of time, what time must you leave in order to beback at school for 3pm?


7. 1/5 of the class require a vegetarian meal for theirlunch. How many vegetarian lunches should you order?


8. For a chemistry experiment, you require 8kg of a certainchemical. This chemical must be mported from a company in America, whichrequires the order to be in pounds. Using the conversion 1kg = 2.2 lbs, howmuch should you order?




1. The cost of the QTS numeracy book is £2.76, what would the total cost for 300 be?


2. In a class of 48 students, three eights went on a trip, how many was this?


3. A lorry holds 300 gallons of fuel, if one gallon is about 4.5 litres, how many litres did the lorry hold?


4. Seven-twentieths of forty students did their homework, what percentage of students did not do their homework?


5. A minibus travelled 320 miles, if one mile is 5/8ths of a kilometre how many kilometres is this?


6. An English teacher took 7 minutes to mark each book, how long would it take her to mark 40 books?


7. Thirty percent of 1400 students are male, how many females are there?


1. If I worked 40hrs/week @ £8.50 / hr, what would be myweekly wage?

2. If I was then taxed at a rate of 15%, how much would Ireceive?


3. What mark out of 20 is equivalent to 85%?


4. You are trying to organise a school trip to a localmuseum. You want to take a class of 25 pupils, and the museum requires a pupil: staff ratio of at most 10 : 1. How many staff must go on the trip?


5. The school gives you a budget of £120. Entry fees to themuseum are £3/child and £5/adult. The price for a 30 – seater coach is £20. Canyou afford the trip, assuming these are your only costs?


6. The coach journey to and from the museum lasts 30 minsand it will take 3 hours to go around the museum. Leaving an hour for lunch,and 30 mins for general loss of time, what time must you leave in order to beback at school for 3pm?


7. 1/5 of the class require a vegetarian meal for theirlunch. How many vegetarian lunches should you order?


8. For a chemistry experiment, you require 8kg of a certainchemical. This chemical must be mported from a company in America, whichrequires the order to be in pounds. Using the conversion 1kg = 2.2 lbs, howmuch should you order?




1. The cost of the QTS numeracy book is £1.23, what wouldthe total cost for 400 be?


2. In a class of 39 students, two sevenths went on a trip, how many was this?


3. A lorry holds 450 gallons of fuel, if one gallon is about 3.9 litres, how many litres did the lorry hold?


4. Nine-twentieths of fifty students did their homework,what percentage of students did not do their homework?


5. A minibus travelled 230 miles, if one mile is 5/8ths of a kilometre how many kilometres is this?


6. An English teacher took 8 minutes to mark each book, how long would it take her to mark 30 books?


7. Forty percent of 1300 students are male, how many females are there?