Company Annual Profit ( ) Cost to Buy ( ) Number of Employees A 20,000 18,000 5 B 26,000 25,000 8 C 21,000 20,000 8 D 30,000 30,000 12

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1 Company Annual Profit ( ) Cost to Buy ( ) Number of Employees A 20,000 18,000 5 B 26,000 25,000 8 C 21,000 20,000 8 D 30,000 30, Q1 Which company has the highest annual profit per employee? A B C D Simply divide the annual profit by the number of employees for each company. Company a has 4,000/employee. Q2 If the profits per employee remain the same, how many extra employees would Company B have to recruit to achieve annual profits of 39,000? For company B, profit per employee is originally ( 26,000 8) = 3,250/employee. So 39,000 3,250 = 12 employees, which is 4 more than they currently have. Q3 If an investor purchased Company B, and the profits for each company stayed the same, how much money would the investor have made after two years? 27,000 Profit 2,000 Loss 2,700 Profit 52,000 Profit Cost to buy Company B, we are told, is 25,000. Annual profit we are told is 26,000. So after two years: - 25, , ,000 = 27,000

2 Q4 Between 1990 and 2000, what was the increase in energy use for the PC Room, Meeting Rooms and Office Space combined? 50kWh 184kWh 188kWh Cannot say In 1990: (12% + 12% + 41%) of 17,000kWh = 11,050 In 2000: (21% + 14% + 39%) of 15,000kWh = 11,100 Q5 If the total energy usage today has reduced by 6% compared to that of 2000, by how much has today s usage reduced when compared to 1990? 82.9% 17.1% 17.8% Cannot say Total energy usage in 2000 = 15,000kWh, so today s is 15,000 x 0.94 = 14,100kWh. This compares with 1990 levels as follows: 14,100 17,000 = The reduction to get from 17,000 to 14,100 is therefore 17.06%. The question refers to total energy use; remember the answers are based only on the information given, so don t click Cannot Say thinking that we aren t given data for all energy use in the world. Q6 Which space experienced the smallest change in energy use between 1990 and 2000? Kitchen Print Room Meeting Rooms PC Room We can rule out PC Room and Kitchen by inspection. However, the 1990 level and 2000 level will need to be worked out for every other space listed as a possible answer.

3 Q7 Approximately, what percentage of the people sampled are unemployed? 7% 5% 6% 4% Total unemployed = 52, ,000 = 97,000. Total people sampled = 1,343, ,031,000 = 2,374,000 97,000 2,374,000 = 4.086% Q8 If it is predicted that the number of females employed in IT will rise by 10% every year, but the number of males stays the same, what percent of IT employees would be female after a three year period? 54.1% 53.5% 85.0% 45.5% If female employees rises by 10%, that gives 142,417 after three years. 142,417 out of (now 263,417 IT employees) = 54.07% Q9 What is the ratio of males to females employed in Business Services? 5:3 2:1 3:2 5:4 M: 186,000 F: 124,000 M F = 1.5

4 Q10 What was the average accident cost per vehicle on the road in Ribley in November? Per vehicle on the road is the key, as this is not what is given in the far right column. Total accidents cost in Ribley = 10 x 1,900 = 19,000. Number of vehicles on road = 81,000. So 19,000 81,000 = Q11 Comparing Wartop with Surren, what was the difference in accident cost per vehicle on the road in October? 3.4p 6.4p Wartop: ( 3,200 per accident x 4 accidents) 89,000 = Surren: ( 1,050 per accident x 9 accidents) 119,000 = Difference = Q12 What was the average accident cost per vehicle on road in all three towns in September? Total costs of all accidents: ( 1,900 x 6) + ( 3,200 x 18) + ( 1,050 x 20) = 90,000. Total number of vehicles on road = 76, , ,000 = 281,000. So 90, ,000 =

5 1996 Output 16% 35% 43% 3% 3% 2006 Output 19% 32% 40% 6% 3% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Nuclear Coal Gas Renew ables Other Q13 In 1996, total output of all fuels was 200TWh. If output for Nuclear in 2006 was twice that for Coal in 1996, what was the output for Nuclear in 2006? 140TWh 400TWh 64TWh 96TWh Coal in 1996 was 35% of 200TWh: 70TWh. So Nuclear in 2006 is twice this: 140TWh. Q14 Now if instead, Renewables output doubled to 18TWh between 1996 and 2006, approximately what was the Gas output in 1996? 129TWh 86TWh 120TWh 110TWh So in 2006, Renewables was 18TWh, which was double what it was in 1996: 9TWh. Therefore, if 9TWh is 3% of the total (according to chart), total in 1996 was 300TWh. Gas we are told made up 43% in 1996, i.e x 300TWh = 129TWh. Q15 If total output was 200TWh in 1996 and 320TWh in 2006, what was Gas output in 2001? 107TWh 133TWh 120TWh Cannot say No data is given, or can be implied, for 2001 in the question.

6 Refund Cause % This Year % Last Year Faulty Software Faulty Hardware Delivery Damage False Advertsement Poor Customer Service Other 2 3 Q16 Total refunds last year totalled 912. This year saw a 20% increase in the number of total refunds. Approximately how many refunds were issued this year due to Delivery Damage? Total refunds for last year: 912, so for this year add 20%: Of this 8% were refunded due to delivery damage = Q17 If refunds last year totalled 800 and there had been a 15% increase in the number of refunds due to Faulty Hardware compared to the year before last, approximately how many complaints were received in this category in the year before last? Total last year: 800, of which 41% were due to faulty hardware = 328. This is a 15% increase on the year before last. So = Q18 If refunds totalled 912 last year and 840 this year, by what percentage did Faulty Hardware refunds increase between the two years? 7.8% 2.8% 79.1% 11.0% Last year = 912 x 41% = This year = 840 x 48% = Increase = = 7.84%

7 UK Pounds Sterling ( ) 01 May 1995 US Dollars ($) UK Pounds Sterling US Dollar Canadian Dollar JP Yen Euro Russian Rubles Q19 What was the approximate value in Pounds Sterling of 150 Canadian Dollars in 1995? The table shows us that 1 Pound is worth 0.5 Canadian Dollars. Q20 Approximately How many Euros was 85 Russian Rubles worth in May 1995? Є2.46 Є2,933 Є1,900 Cannot say You have to convert both Euros and Rubles to a common reference (we ll use Pounds). So 85 Rubles = 85 x = 1.7. We are told one Euro is worth 0.69, so 1.7 must be worth Q21 Approximately how many more Canadian Dollars would you get for 100 UK Pounds Sterling than you would for 120 US Dollars? CAD$35 CAD$5 4 CAD$60 CAD$ Pounds = ( ) = 200 CAD 120 US = ( ) = CAD

8 UK France Number of cars (000) Number of cars (000) Mass (kg) Q22 How many cars under 2,000kg were there in France in 1995? 918, , , (thousand) = 918,000 Q23 What was the combined mass of all the cars in the UK in 2000? 211,000kg 858,500kg 1,426,500kg Cannot Say Don t be tempted to start adding anything up. Because the data is grouped, we don t know how many cars are at the bottom end of the group, and how many are towards the top. Q24 In the UK, what was the percentage increase in the total number of cars between 1995 and 2000? 15.0% 16.6% 32.1% 58.0% Add them all up. 1995: = 808 (thousand) 2000: = 942 (thousand) =

9 Population Structure 1985 Population at start of year Live Births per 1000 population Deaths per 1000 population Percentage of population at start of year aged (millions) (Jan-Dec) (Jan-Dec) under or over UK France Australia Germany Greece Q25 How many live births occurred in 1985 in Greece and Australia together? 21, ,200 1,051,000 Cannot say Note live births are given per 1000 population. So, Greece: 28.5 (million) x 13.2 (per 1000) = 376,200 Australia: 46.5 (million) x 8.0 (per 1000) = 372,000 Total = 748,200. Q26 Which country had the highest number of people aged under 15 at the start of 1985? UK France Australia Germany Immediately from the possible answers we can neglect Greece in our working. UK: 56.6 x 19% = France: 55.2 x 21% = Australia: 46.5 x 17% = Germany: 61.0 x 15% = 9.15 Q27 What was the net effect on the UK population in 1985? Increase of 84,900 Increase of 85,170 Increase of 542,810 Decrease of 61,400 Births: 13.3 (per 1000) x 56.6 (million) = 752,780 Deaths: 11.8 (per 1000) x 56.6 (million) = 667,880 Net = 84,900 Q 28 Approximately what percentage of the German population were aged 60 or over at the end of 1985? 20% 21% 16% Cannot say The end column giving percent over 60 is for the start of the year only.

10 Number of PCs sold PC Sales by shop Jan Feb Mar Apr Regal PC PC Now ElectroPC Quick PC Q29 For all the shops combined, which month showed the largest decrease in PC sales over the previous month? Jan Feb Mar Apr We have to sum for every month, even though we have no data for Dec and therefore Jan cannot be the answer. Jan: = 43 Feb: = 48 Mar: = 55 Apr: = 53 April was the only month where sales droped. Q30 Approximately what percentage of Regal PC s sales were made in April? 21% 22% 24% 28% Total PC sales for Regal = = 41. April = 10. So = 24.4%. Q31 If the average profit made on each PC sold by Quick PC over all four months was 62 what was the total profit over the four months for this shop? 3,144 3,782 3,857 Cannot say Total sales by Quick PC over the four months = = 61. So 61 x 62 = 3,782

11 Total number of graduates 1,700 1,800 1,900 Percent in employment Percent in further study Percent unemployed Percent other Q32 What was the largest number of students in any year that went on to further study? : 1,700 x 33% = : 1,800 x 36% = : 1,900 x 35% = 665 Q33 What was the increase in the number of graduates in employment between 2002 and 2004? Cannot say 2002: 1,700 x 40% = : 1,900 x 41% = 779 Increase = 99 Q34 62% of all social science graduates in 2003 found employment. If social science graduates accounted for 20% of all graduates entering employment, approximately how many social science students did not enter employment in 2003? We know that in 2003 (1,800 x 39%) 702 graduates entered employment. We are told that of these, 20% are social science graduates (i.e ). We are told the accounts for only 62% of all social science graduates. Therefore total social science graduates = 226.5, of which entered employment.

12 Answers Q1 A Q7 4% Q13 140TWh Q19 75 Q25 748,200 Q31 3,782 Q2 4 Q8 54.1% Q14 129TWh Q Q26 France Q Q3 27,000 profit Q9 3:2 Q15 Cannot Say Q21 CAD$62 Q27 Increase of 84,900 Q33 99 Q4 50kWh Q Q Q22 918,000 Q28 Cannot Say Q34 86 Q5 20.1% Q11 3.4p Q Q23 211,000kg Q29 Apr. Q6 Meeting Rooms Q Q18 7.8% Q % Q30 24%