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Key Stage 3 Homework: Show me the money Name: ___________________ Form: _______ Teacher: ____ Wheatley Park School 1 1. Half price A shop sells clothes at half price in a sale. (a) Complete this label to show the sale price. Half price sale old price £5.68 sale price £ 1 mark (b) Now complete this label to show the old price. Half price sale old price £ sale price £6.99 1 mark Wheatley Park School 2 2. Euro The pictures show all the different euro banknotes. 5 10 20 50 5 EURO 10 EURO 20 EURO 50EURO 100 200 500 100EURO 200EURO 500EURO (a) Marco has four banknotes. Altogether he has eight hundred euros. What banknotes could Marco have? Write the value of each of the banknotes. ................., ................., ................. and ................. 1 mark (b) Anna also has four banknotes that total eight hundred euros. Her banknotes are not exactly the same as Marco’s. What banknotes could Anna have? ................., ................., ................. and ................. 1 mark 3. Yen Look at the pictures of Japanese money. Write how much is in each box. The first is done for you. (a) 1 mark Wheatley Park School 3 (b) (c) 1 mark 1 mark (d) 1 mark 4. Sales A shop sells T- shirts and vests. I have £20 (a) How many T-shirts could I buy with £20? ............................... 1 mark Wheatley Park School 4 (b) How many vests could I buy with £20? ............................... 1 mark (c) I buy two T-shirts and two vests. How much change should I get from £20? £ 2 marks 5. Mobile phones A survey showed these results about the number of mobile 50 phones used in the UK. 40 Use the graph to write the missing numbers below. 30 Number of mobile phones (millions) 20 10 0 1992 1994 1996 1998 2000 2002 Year In 1992, there were about ..................... million mobile phones. 1 mark Ten years later, there were about ..................... million mobile phones. 1 mark From 1998 to 1999, the number of mobile phones increased by about ..................... million. 1 mark As reported in the Metro newspaper, April 2003 Wheatley Park School 5 6. Contact lenses In one year, Helen buys 18 pairs of Contact Lenses contact lenses. For that year, how much has she Pay £82 a year, paid altogether? and then just £6 for each pair Show your working. of contact lenses you buy. £ ............................... 2 marks 7. Television I buy a widescreen television costing £1290. I pay £900 now, then I pay the rest of the money in 3 equal payments. How much is each payment? Show your working. £ 2 marks 8. Snacks A machine in a youth club sells snacks. Crisps: 20p Chocolate bars: 35p Drinks: 40p Rolls: 75p Sandwiches: £1.00 Wheatley Park School 6 Len writes down the amounts of money which different people spend one evening during each hour that the club is open: Amounts of money spent during each hour 5 pm to 6 pm 6 pm to 7 pm 7 pm to 8 pm 40p 75p £1.75 60p 55p £1.40 55p 60p £1.60 20p 40p 75p 40p £1.15 £1.40 60p 40p £1.10 55p 75p 60p 40p 40p £1.50 (a) Len says: “40 p is the mode of the amount of money spent”. Explain why Len is right. 1 mark (b) Len groups the amounts and starts to make a tally chart. Fill in Len’s chart for 7 pm to 8 pm. Then fill in the column for the total number of people who spent each amount. Time Total number of people who Amount of 5 pm to 6 pm to 7 pm to spent each money spent 6 pm 7 pm 8 pm amount Under 50p 7 50p to 99p £1.00 to £1.49 Over £1.49 (c) Len says: “Now 50p to 99p is the mode”. Is Len right? Explain your answer. 1 mark Wheatley Park School 7 (d) Look at where the tally marks are on the chart. What do you notice about the amounts of money people spent at different times in the evening? 1 mark Give a reason which could explain the difference you notice. 1 mark 9. Chocolate 30p The graph shows how the price of a chocolate bar has changed. 20p Price 10p 1972 1977 1982 1987 1992 1997 2002 Fill in the gaps below. Year Between 1992 and 2002, the price of the chocolate bar increased by ........................... p 1 mark In 1992, the price of the chocolate bar was 6 times as much as in ........................... 1 mark The smallest increase in price was in the five years between ................. and ............ 21 1 mark Wheatley Park School 8 10. Admission The table shows how much it costs to go to a cinema. Before 6pm After 6pm Adult £3.20 £4.90 Child £2.50 £3.50 (14 or under) Senior Citizen £2.95 £4.90 (60 or over) Mrs Jones (aged 35), her daughter (aged 12), her son (aged 10) and a friend (aged 65) want to go to the cinema. They are not sure whether to go before 6pm or after 6pm. How much will they save if they go before 6pm? Show your working. £ 3 marks 11. Percentages (a) Complete the sentences. ............................... out of 10 is the same as 70% 1 mark 10 out of 20 is the same as ..............................% 1 mark (b) Complete the sentence. ..................... out of ..................... is the same as 5% 1 mark Now complete the sentence using different numbers. ..................... out of ..................... is the same as 5% 1 mark Wheatley Park School 9 12. Percentages B Calculate 8% of £26.50 £ 1 mark 12½ % of £98 £ 1 mark 13. Holiday In 1976 the average yearly wage was £3275. On average, people spent 17% of £3275 on their family holiday. How much is 17% of £3275? Show your working. £ 2 marks 14. Swimming (a) You pay £2.40 each time you go swimming. Complete the table. Number of swims 0 10 20 30 Total cost (£) 0 24 1 mark Wheatley Park School 10 (b) Now show this information on the graph below. Join the points with a straight line. 80 70 60 50 Total cost (£) 40 30 20 10 0 0 10 20 30 Number of swims 2 marks Wheatley Park School 11 (c) A different way of paying is to pay a yearly fee of £22 Then you pay £1.40 each time you go swimming. Complete the table. Number of swims 0 10 20 30 Total cost (£) 22 36 1 mark (d) Now show this information on the same graph. Join these points with a straight line. 2 marks (e) For how many swims does the graph show that the cost is the same for both ways of paying? ............................... 1 mark 15. Delivery charges y 10 A company sells books using the 9 internet. The graph shows 8 their delivery charges. 7 6 Delivery charge (£) 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 x Number of books Wheatley Park School 12 (a) Use the graph to fill in the values in this table. Number of books Delivery charge (£) 8 9 1 mark (b) For every extra book you buy, how much more must you pay for delivery? ............................... p 1 mark (c) A second company sells books using the internet. Its delivery charge is £1.00 per book. On the same graph, draw a line to show this information. 1 mark (d) Complete the sentence. Delivery is cheaper with the first company if you buy at least ........................... books. 1 mark 16. CD player (a) Work out the missing values. 10% of 84 .................. 5% of 84 .................. 1 2 % of 84 .................. 2 2 marks 1 (b) The cost of a CD player is £84 plus 17 % tax. What is the total cost of 2 the CD player? You can use part (a) to help you. £ 2 marks Wheatley Park School 13 17. Toilet rolls A shop sells toilet rolls. You can buy them in packs of 9 or packs of 6 90 . 0 £3 .5 £2 ll s ls ro l 9 ro 6 Which pack gives you better value for money? Pack of 9 toilet rolls Pack of 6 toilet rolls £3.90 £2.50 You must show your working. 3 marks 18. Tennis prizes Each year, there is a tennis competition in Australia and another one in France. The table shows how much money was paid to the winner of the men’s competition in each country in 2002. Country Money 1000 000 Australian dollars Australia (£1 2.70 Australian dollars) 780 000 Euros France (£1 1.54 Euros) Which country paid more money? You must show your working. Tick () the country that Australia France paid more. 2 marks Wheatley Park School 14 19. Hedging A garden centre sells plants for hedges. The table shows what they sold in one week. Plants Number of Takings plants sold Beech 125 £212.50 Leylandii 650 £2437.50 Privet 35 £45.50 Hawthorn 18 £23.40 Laurel 5 £32.25 Total 833 £2751.15 (a) What percentage of the total number of plants sold was Leylandii? Show your working. ........................... % 2 marks (b) What percentage of the total takings was for Leylandii? Show your working. ........................... % 2 marks (c) Which is the cheaper plant, Beech or Privet? Show working to explain how you know. 1 mark Wheatley Park School 15 20. Police A report on the number of police officers in 1995 said: "There were 119 000 police officers. Almost 15% of them were women." (a) The percentage was rounded to the nearest whole number, 15. What is the smallest value the percentage could have been, to one decimal place? Circle the correct answer below. 14.1% 14.2% 14.3% 14.4% 14.5% 14.6% 14.7% 14.8% 14.9% 1 mark (b) What is the smallest number of women police officers that there might have been in 1995? (Use your answer to part (a) to help you calculate this answer.) Show your working. 2 marks 21. Currency (a) Use £1 = 9.60 francs to work out how much 45p is in francs. Show your working. 45p ......................... francs 2 marks (b) Use 240 pesetas = £1 to work out how much 408 pesetas is in pounds. Show your working. 408 pesetas £ ......................... 2 marks Wheatley Park School 16 22. Internet Companies charge different amounts to connect people to the Internet. The graph shows how much three companies charge each month. company A company B 16 12 cost company C (£) 8 4 0 0 2 4 6 8 10 12 Number of hours used each month (a) Fill in the missing numbers in these sentences. Company A: The first ............... hours used every month are free, then they charge £2 for every hour. Company B: They charge £10 each month, with an extra charge of .............p for each hour used. 1 mark (b) Write a sentence to describe the cost each month for company C. 1 mark Wheatley Park School 17 23. Rich and poor A newspaper printed this information about the world’s population. If the world was a village of 100 people, 6 people would have 59% of the total wealth. The other 94 people would have the rest. On average, how many times as wealthy as one of the other 94 people would one of these 6 people be? ............................... 2 marks 24. Sixths A teacher said to a pupil: To the nearest per cent 1 is 17% 6 The pupil said: So, to the nearest per cent, 2 must be 34% 6 Show that the pupil is wrong. 1 mark Wheatley Park School 18 25. Clothes Shop A clothes shop had a closing down sale. The sale started on Tuesday and finished on Saturday. For each day of the sale, prices were reduced by 15% of the prices on the day before. (a) A shirt had a price of £19.95 on Monday. Kevin bought it on Wednesday. How much did he pay? (Show your working). £ ............................... 2 marks (b) Ghita bought a dress on Tuesday for £41.48. What was its price on Monday? Show your working. £ ............................... 2 marks (c) A jacket had a price of £49.95 on Monday. What was its price on Friday? Show your working. £ ............................... 2 marks (d) Another shop is reducing its prices each day by 12% of the prices on the day before. How many days would it take for its original prices to be reduced by more than 50%? (Show your working). ............................... days 2 marks Wheatley Park School 19 27. Households A housing report gave this information. In the year 2001, the population of England was 49.87 million people. Most of these people lived in households. The total number of households was 20.97 million. The average (mean) household size was 2.34 people. In the year 2001, what percentage of people in England did not live in households? Give your answer to 1 decimal place. ............................% 3 marks 28. Blackbirds The percentage charts show information about the wing length of adult blackbirds, measured to the nearest millimetre. Key 136 – 140 mm Male 131 – 135 mm 0% 20% 40% 60% 80% 100% 126 – 130 mm 121 – 125 mm Female 0% 20% 40% 60% 80% 100% Wheatley Park School 20 (a) Use the data to decide whether these statements are true or false, or whether there is not enough information to tell. The smallest male's wing length is larger than the smallest female's wing length. True False Not enough information Explain your answer. 1 mark The biggest male's wing length is larger than the biggest female's wing length. True False Not enough information Explain your answer. 1 mark (b) Calculate an estimate of the mean wing length of the male blackbirds. You must show your working. ......................... mm 3 marks Wheatley Park School 21

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