1. The diagram gives information about the population, in millions, of Ireland and the United Kingdom in 1994. Also shown is the percentage of people who are unemployed in each country. (a) Ireland United Kingdom 3.5m Population Unemployment 15% Population Unemployment 58m 10% 15% of people in Ireland were unemployed in 1994. How many people was this? Give your answer to the nearest hundred thousand. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (3) (b) Explain why the following statement is incorrect: Ireland has a higher percentage of unemployed people than the United Kingdom. This means there are more unemployed people in Ireland than in the United Kingdom. Show all the calculations that you make. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (3) Hamilton Community College 1 2. An athletics stadium has 35 000 seats. 4% of the seats are fitted with headphones to help people hear the announcements. How many headphones are there in the stadium? ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ (2) 3. (a) Petrol costs £0.75 per litre in England. (i) Calculate the cost of 23 litres of petrol. ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... (3) (ii) In France, petrol is 20% cheaper than in England. Calculate 20% of £0.75. ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... (2) Hamilton Community College 2 (b) Susan is driving through a French town. The speed limit in the French town is 50 kilometres per hour. 50 Her speed is 35 miles per hour. Is she breaking the speed limit? You must show all your working. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (3) 4. Calculate 12% of 350 kg. ............................................................................................................................................ ............................................................................................................................................ ............................................................................................................................................ (2) 5. The chart shows the percentage of letters that are delivered the day after posting in each of six European countries. Postal reliability Percentage of letters delivered next day 0 20 40 60 80 100% United Kingdom Netherlands Germany France Spain Italy Source: Ec survey 1992 Hamilton Community College 3 (a) In Germany, 72% of all letters posted are delivered the next day. Write 72% as a fraction in its simplest form. ..................................................................................................................................... (1) (b) Which country has approximately 7 of its letters delivered the next day? 20 ..................................................................................................................................... ..................................................................................................................................... (1) (c) Forty million letters are posted every day in the United Kingdom. Nine-tenths of these are delivered the next day. In your head, calculate 9 of 40 000 000. 10 Write down your answer. Explain clearly how you worked out your answer. ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... (2) 6. The original price of a television is £400. In a sale the price of the television is reduced by 15%. What is the sale price of the television? ………………..........……………………………………………………………………… ………………..........……………………………………………………………………… ………………..........……………………………………………………………………… ………………..........……………………………………………………………………… ………………..........……………………………………………………………………… (3) Hamilton Community College 4 7. The frequency diagram shows the distribution of shoe sizes for a class of 40 pupils. 10 8 Boys Girls 6 Frequency 4 2 0 (a) 2 3 4 5 Shoe size 6 7 What is the ratio of girls to boys in the class? Give your answer in its simplest form. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. Answer ...................................... (2) (b) What percentage of the class have shoe size 6? .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. Answer ...................................... % (3) Hamilton Community College 5 (c) By working out the range and mode for the boys and for the girls, compare and comment on the shoe sizes for boys and girls. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. (3) 8. Six hundred people go to a concert. (a) Four fifths are teenagers. How many teenagers go to the concert? ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... ..................................................................................................................................... Answer .......................................................... (2) 70% of the people who go to the concert are female. (b) (i) How many females go to the concert? ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... Answer .......................................................... (2) Hamilton Community College 6 (ii) What is the ratio of males to females at the concert? Give your answer in its simplest form. ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... ........................................................................................................................... Answer .......................................................... (2) 9. Jim buys furniture for £74.40. Delivery will cost Jim an extra 5%. How much is the delivery charge? ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ Answer £ ...................................................................... (2) 10. (a) Andy has a part-time job. He is paid £31.50 for working from 8.00 am to 3.30 pm. How much is this per hour? ........................…......................................................................................................... ........................…......................................................................................................... ........................…......................................................................................................... Answer £ ............................................................. (2) Hamilton Community College 7 (b) Andy is saving for a bike that costs £150. What percentage is £31.50 of £150? ........................…......................................................................................................... ........................…......................................................................................................... ........................…......................................................................................................... Answer ............................................................. % (2) (Total 4 marks) 11. Find 17 1 % of £174.80 2 ............................................................................................................................................... ............................................................................................................................................... ............................................................................................................................................... Answer £ ..................................................................... (Total 2 marks) 12. Beth has 400 roses. 48 are yellow. What percentage of the roses are yellow? ............................................................................................................................................... ............................................................................................................................................... Answer .................................................................. % (Total 2 marks) Hamilton Community College 8
