numberical test (Đã sửa chữa).docx

SEE GRAPH ABOVE 2) Which company's sales were most consistent throughout the year?Hole in RoofHot HouseStones' ThrowLeaky WindowsFrying Tonight2) Which company's sales were most consistent throughout the year?Range of Frying Tonight is minimum 1 (e.g. January) to maximum 3 (e.g. May): a range of only 2.

3) In which month did the sales of Hole in Roof and Stones' Throw differ the most?JanuaryMarchJulyAugustOctober

3) In which month did the sales of Hole in Roof and Stones' Throw differ the most?Sales of Hole in the Roof are 2 in July: sales of Stones' Throw are 9 that month: a difference of 7 which is the greatest difference.

4) Which month gave the largest number of sales for all the companies combined?AprilMayJuneJulyAugust4) Which month gave the largest number of sales for all the companies combined?June: 3 + 6 + 6 + 7 + 8 = 30 sales in June

5) What was the percentage increase in sales for Hot House between July and August?203040

5060

5) What was the percentage increase in sales for Hot House between July and August?Hot House sales in July = 5. Sales in August = 6 a) find the difference between the two numbers: 6 - 5 = 1 b) Take this difference (1) and divide by the original number: 6/5 = 0.2c). Lastly, multiply this by 100: 0.2 x 100 = 20%

6) SEE GRAPH ABOVE. How far does the student walk in total?1 km2 km3 km4 km5 km6) How far does the student walk in total?One km from 8.00 to 8.10 and another km from 8.25 to 8.35 = 2 km total

7) How far is he from the university students' union at 8.20 am?1 km2 km3 km4 km5 km7) How far is he from the university students' union at 8.20 am?Students' union is at 6 km distance from home.At 8.20 am student is at 3 km from home. Therefore he has 3 km still to travel to the union.

8) What is the average speed of the bus?21 km22 km23 km24 km25 km

8) What is the average speed of the bus?Student gets on bus at 8.15 am at 1 km from home.Student gets of bus at 8.25 am at 5 km from home.Therefore bus travels 4 km in 10 minutesThe bus would travel six times as far in one hour = 6 x 4 km in one hour = 24 kmph

11) Which is the largest fraction: 3/4 7/8 4/5 7/9 7/1011) Which is the largest fraction: 3/4 7/8 4/5 7/9 7/103/4 = 0.75, 7/8 = 0.875, 4/5 = 0.8, 7/9 = 0.777..., 7/10 = 0.7

12) If oranges cost 5 for 75c how many can you buy for $2.70? (Assuming they can be bought singly)151617181912) If oranges cost 5 for 75p how many can you buy for £2.70? (Assuming they can be bought singly)5 oranges cost 75p, therefore one orange costs 75 divided by 5 = 15p£2.70 is the same as 270p.Therefore the amount of oranges you get for 270p = 270 divided by the cost of one orange = 270 divided by 15 = 18 oranges

13) A shed has a side wall of the dimensions shown. Calculate the area of the wall in square feet.2427283036

13) A shed has a side wall of the dimensions shown. Calculate the area of the wall in square feet.Area = area of square + area of triangle at top Area of square = length x width = 6 x 4 = 24 square ftArea of triangle = base x perpendicular height / 2 = 6 x (6 -4) / 2 = 6 sq ftTotal area = 24 + 6 = 30 sq feetOr you can use the formula for the area of a trapezium.Area = average of the length of the two different sides x length of base= (6 + 4)/2 x 6 = 5 x 6 = 30

14) A car left Canterbury at 7.12 am and arrived in Birmingham, 180 miles distant at 10.57 am. What was its average speed in miles per hour?424446485014) A car left Canterbury at 7.12 am and arrived in Birmingham, 180 miles distant at 10.57 am. What was its average speed in miles per hour?Time taken = 3 hours 45m = 3.75 hours (15/4 hours if you prefer fractions).Speed = distance / time taken = 180 / 3.75 = 48 mph

15) An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed?3112347735123522353415) An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed?75 minutes = 75 / 60 hours = 1.25 hours (or 5/4 hours if you prefer fractions)Speed of aircraft = 930 / 1.25 = 744 mph4 hours 45 m = 4.75 hours (or 19/4 hours in fractions)Therefore aircraft will fly 744 x 4.75 miles = 3534 miles

16) You get a wage increase of 4% plus an extra five pounds per week. Your present wages are 250 pounds per week. What will your new wage be in pounds?26026527027528016) You get a wage increase of 4% plus an extra £5 per week. Your present wages are £250 per week. What will your new wage be?Present wage = 2504% of 250 = 4 x 2.5 = £10Therefore new wage = 250 + 10 + 5 = £265

17) What is the total income in pounds of the taxi driver for the whole year?11,59212,1921269212,99213,19217) What is the total income of the taxi driver for the whole year?Average fare = 4 x 90p = £3.60Income per week = 70 fares at £3.60 each = 70 x 3.60 = £252Income for 46 weeks work = £252 x 46 = £11,592

18) What is her total expenditure over the year to the nearest pound?9,3539,95310,45310,95311,523

18) What is her total expenditure over the year to the nearest pound?Car/Service/MOT/Repairs/ Insurance = £1250 p.a.Mortgage costs = £250 per month = 250 x 12 per annum = £3000 p.a.Other expenditure = £125 per week = £125 x 52 per annum = £6500 p.a.Diesel fuel costs = 6p per mile. Annual mileage = 4 miles x 70 fares per week = 280 miles per week = 280 x 46 weeks worked each year = 12,880 milesTherefore diesel cost = 12,880 x £0.06 = £772.8 Therefore total expenditure = £1250 + £3,000 + £6,500 + £772.8 = £11,522.8 = £11,523 to nearest pound

19) What is her average excess of income over expenditure per month to the nearest pound?61636567619) What is her average excess of income over expenditure per month to the nearest pound?Income p.a. = £11,592 Expenditure p.a. = £11,523 (answers to previous two questions)Therefore excess of income over expenditure = £69 p.a. = £69 / 12 per month = £5.75 = £6 per month to nearest pound

20) A cube has a volume of 8 cubic metres. If each side is doubled in length what will its new volume be in cubic metres?162432486420) A cube has a volume of 8 cubic metres. If each side is doubled in length what will its new volume be in cubic metres?Volume = length x width x height8 = l x w x h but l, w and h are all equal as it is a cubeTherefore l = w = h = 2mIf each side is doubled in length l = w = h = 4mTherefore new volume = 4 x 4 x 4 = 64 cubic metres Or if you prefer the quicker method. If each side is doubled in length then the new volume must be 2 to the power 3 bigger = 8 x 8 = 64

21) A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point?4567821) A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point?Total distance driven South = 8 + 2 - 6 km = 4 kmTotal Distance driven West = 6 - 3 km = 3 km

This makes a right angled triangle where the distance from her starting point is the hypotenuse.Using Pythagoras Theorem: "In any right triangle, the area of the square whose side is the hypotenuse (is equal to the sum of the areas of the squares of the other two sides" 4 squared + 3 squared = hypotenuse squared 16 + 9 = 25 = hypotenuse squared Therefore hypotenuse (distance from starting point) = square root of 25 = 5kmOr a simpler method is to see that the distances make a 3, 4, 5 triangle so the distance from start is 5 km

22) What was the largest number of students in any year that went on to further study?561576585592 Can’t say

22) What was the largest number of students in any year that went on to further study?2004 has the most students entering further study: 39% of 1500 students39/100 x 1500 = 585 students in 2004

23) What was the decrease in the number of graduates in employment between 2002 and 2004?125135140180Can’t say

23) What was the decrease in the number of graduates in employment between 2002 and 2004?Number of graduates in employment in 2002 = 1,700 x 40/100 = 680Number of graduates in employment in 2004 = 1,500 x 37/100 = 555Decrease = 680 - 555 = 125 graduates

24) In 2004 how many social science students were in employment after graduating?260272284290

Can’t say24) In 2004 how many social science students were in employment after graduating?Can't say: there is insufficient data.

25) Which month showed the largest total decrease in PC sales over the previous month?MarchAprilMayJuneJuly25) Which month showed the largest total decrease in PC sales over the previous month?Drop is from 3,400 + 3,800 + 2,900 in April (total 10,100) to 2,800 + 2,900 + 2,900 in May (total 8,600), a drop of 1,500.

26) What percentage of Manufacturer 2's sales were made in April (to the nearest percent)?1622

27333826) What percentage of Manufacturer 2's sales were made in April (to the nearest percent)?Manufacturer 2's Sales are March 4,100 April 3,800 May 2,900 June 3,100 July 3,500Total Sales = 17,400Sales in April = 3,800Percentage of sales in April = 3,800 / 17,400 x 100 = 21.8% = 22% rounded to nearest percent

27) If the average profit made on each PC sold by Manufacturer 3 over all 5 months was 78 pounds what was the total profit in pounds on all sales in this period by that manufacturer?650,400820,700980,3001,095,6001,177,800

27) If the average profit made on each PC sold by Manufacturer 3 over all 5 months was £78 what was the total profit on all sales in this period by that manufacturer?Total sales for Manufacturer 3 = 2,800 + 2,900 + 2,900 + 3,200 + 3,300 = 15,100Profit per PC = £78, therefore total profit = 15,100 x £78 = £1,177,800

EXAMPLE 1) How many owner-occupiers lived in semi-detached properties? (to nearest thousand).27,00032,00037,00042,00047,000EXAMPLE 1) How many owner-occupiers lived in semi-detached properties? (to nearest thousand) Total sample = 127,00029% live in semi-detached properties29% x 127,000 = 29/100 x 127000 = 3683037,000 to nearest thousand

EXAMPLE

2) How many owner-occupiers lived in flats and terraced properties? (to nearest thousand)42,00043,00044,00045,00046,000EXAMPLE 2) How many owner-occupiers lived in flats and terraced properties? (to nearest thousand) Total sample = 127,00012% live in flats and 21% live in terraced houses33% x 127,000 = 33/100 x 127,000 = 41,91042,000 to nearest thousand

FINAL EXAMPLE: THE TIMED TEST WILL BEGIN AFTER THIS QUESTION.3) 59% of the people living in bungalows were retired. How many people is this? (to nearest thousand)12,00013,00014,00015,00016,000EXAMPLE 3) 59% of the people living in bungalows were retired. How many people is this? (to nearest thousand) 20% of 127,000 live in bungalows = 20/100 x 127,00059% of these are retired59/100 x 20/100 x 127,000 = 14986 15,000 to nearest thousand

1) What was the population of Botsibia (millions) in 2006 ?14.515.516.517.518.51) What was the population of Botsibia (millions) in 2006 ? Number of cars in Botsibia in 2006 = 5.3 million0.32 cars per person in Botsibia in 2006Therefore 1 car for every 3.125 people (1 divided by 0.32)Population = number of cars x Number of people per car = 5.3 x 3.125 = 16.5625 million

2) How many million cars were there in Korgolia in 2001?9.29.710.210.711.22) How many million cars were there in Korgolia in 2001? Population of Korgolia in 2001 = 18.3 millionNumber of cars per person = 0.5Number of cars = population x number of cars per person = 18.3 x 0.5 = 9.15 million = 9.2 million to 1 decimal place

3) Which country had the greatest percentage change in the number of cars per person between 2001 and 2006?NormarkSerbistanBotsibiaVelumbiaKorgoria3) Which country had the greatest percentage change in the number of cars per person between 2001 and 2006?

You have to calculate the percentage for each country for 2001 and 2006: a lot of work, although those strong on mental arithmetic may be able to make rough estimates to quickly remove the countries with lower percentage changes.

E.g. to calculate the percentage ownership of cars in Normark in 2001. Number of cars per person = number of cars / population = 17 / 22.5 = .756. To convert this to a percentage multiply by 100 = 75.6%. the other countries are done in the same way, giving the results shown below. For Korgolia in 2001 and Botsibia in 2006, we are already told the number of cars per person.

NormarkSerbistan

BotsibiaVelumbia

Korgolia

2001 75.6% 19.7% 31.6% 94.6% 50.3%2006 86.3% 31.9% 32.1% 101.8% 53.7%

Serbistan 19.7% to 31.9%

4) If in 2001 the ratio of cars per person in Velumbia had been the same as that of Normark, how many cars would there be in Velumbia?6.65M6.75M6.85M6.95M7.05M4) If in 2001 the ratio of cars per person in Velumbia had been the same as that of Normark, how many cars would there be in Velumbia? The ratio of cars per person in Normark in 2001 is 17 million cars divided by 22.5 million people = 0.7556 cars per person.Therefore the number of cars in Velumbia would be:The population of Velumbia in 2001 x the ratio of cars per person in Normark= 9.2 million people x 0.7556 = 6.95M cars

5) If between 1987 and 2007 the trend for fashion ties had been the same as for cravats, how many fashion ties would have been sold in 2007?7260072100713007050069200.5) If between 1987 and 2007 the trend for fashion ties had been the same as for cravats, how many fashion ties would have been sold in 2007? Cravats sold in 1987 = 4074Cravats sold in 2007 = 4116Percentage increase in sales of cravats 1987 to 2007 = (4116 / 4074 x 100) - 100 = 1.03%Fashion ties sold in 1987 = 71400Multiply by 101.03% = 71400 x 101.03 = 72135 = 72100 to nearest 100

6) For all types of tie together, what is the percentage decline between 2002 and 2007?(to nearest five percent. Clip ons and cravats are types of tie.)15%20%25%30%35%6) For all types of tie together, what is the percentage decline between 2002 and 2007? (to nearest five percent) Total sales in 2002 = 83820Total sales in 2007 = 56000Percentage of sales 2007 over sales 2002 = sales in 2007 / sales in 2002 x 100 = 56000 / 83820 x 100 = 66.8Therefore drop in sales = 100 - 66.8% = 33.2% drop = 35% to nearest 5%

7) What is the approximate absolute change in percentage market share for fashion ties between 1987 and 2007?15%20%25%30%35%7) What is the approximate absolute change in percentage market share for fashion ties between 1987 and 2007? Market share in 1987 = number of fashion ties sold divided by total number of ties sold x 100 = 71400 / 134484 x 100 = 53.1%Market share in 2007 = 21371 / 56000 x 100 = 38.2Change = 14.9% = 15% to nearest percentage point

8) If the average retail price for silk ties in 2002 was £17.50 plus Value Added Tax at 17.5% what was the total value of silk ties sold in 2002?

(to nearest £1000)$372,000$382,000$392,000$402,000$412,0008) If the average retail price for silk ties in 2002 was £17.50 plus Value Added Tax at 17.5% what was the total value of silk ties sold in 2002? (to nearest £1000) Price of one tie = £17.50 Price of one tie including tax = £17.50 x 1.175 = £20.56Total value of ties sold = price per tie x amount sold = £20.56 x 18557 = £381,531.92= £382,000 to nearest £1000

1 Pound = … Euro.1 Pound = … Dollars

9) How many Dollars was one Euro worth in May? Dollars 1.984/4.468 Euro1.151.201.251.301.359) How many Dollars was one Euro worth in May? Value of 1 Pound in Dollars in May = $1.984Value of 1 Pound in Euros in May = E1.468Value of 1 Euro in dollars = 1.984/1.468 = $1.35

10) What was the percentage drop in the value of the Pound compared to the Euro over the year?681012

1410) What was the percentage drop in the value of the Pound compared to the Euro over the year? Value of Pound in Euros in January = 1.507Value of Pound in Euros in December = 1.384Change in value = 1.507 - 1.384 = 0.123Percentage change = (change in value / original value) x 100= (0.123 / 1.507) x 100= 8.16% = rounds to 8%

1 Pound = … Euro.1 Pound = … Dollars11) If you converted 67 Euros to Pounds in February, how many Dollars (to the nearest Dollar) would this be worth in November?878991939511) If you converted 67 Euros to Pounds in February, how many Dollars (to the nearest Dollar) would this be worth in November?£1 = 1.497 Euros in February Therefore 67 Euros = 67 / 1.497 pounds = £44.76£1 = $2.071 in November Therefore £44.76 = 44.67 x 2.071 dollars = $92.70 = $93 to nearest dollar

12) What was the percentage increase in the price of oil between 1998 and 2006?

4.83%48.3%51.3%413%513%12) What was the percentage increase in the price of oil between 1998 and 2006? 1998 price = 12.7 2006 price = 65.1 Percentage increase in price = (Change in price/original price) x 100 Change in price = 65.1 - 12.7 = 52.4Original Price = 12.7Percentage increase in price = (52.4 / 12.7) x 100 = 4.126 x 100 = 412.5% which rounds to 413%

13) If the total oil supply had grown at the same rate as the former USSR oil supply between 2000 and 2006 how much would this have exceeded the demand in 2006? 54,43%14.319.324.329.334.3 = 77.1*(12.2-7.9)/7.9 -84.713) If the total oil supply had grown at the same rate as the former USSR oil supply between 2000 and 2006 how much would this have exceeded the demand in 2006?USSR oil supply in 2000 = 7.9. In 2006 oil supply = 12.2. Therefore change in USSR supply = 12.2/7.9 x 100 = 154.4%Total oil supply in 2000 = 77.1Supply in 2006 = total supply in 2000 x change in supply for USSR 2000-2006 = 77.1 x 1.544 = 119.0 Demand in 2006 = 84.7. Therefore difference between supply and demand = 119 - 84.7 = 34.3

14) In which year was the largest combined change in supply from the previous year for OPEC, the former USSR and other Non-OECD countries?2000200320042005200614) In which year was the largest combined change in supply from the previous year for OPEC, the former USSR and other Non-OECD countries?

1999 2000 2003 2004 2005 2006OPEC total 29.6 31 30.8 33.1 34.2 34.3Former USSR 7.5 7.9 10.3 11.2 11.6 12.2Other non-OECD 16 16.2 17.1 17.7 18.2 18.7Total 53.1 55.1 58.2 61.9 64.1 65.3Change from previous year - 2 3.1 3.7 2.2 1.2

Change in 2004 was 3.7 from the previous year: the largest amount.

15) Which company had the widest range of share prices over the 5 years?PILEMIN AIRLINERENTA BANGARUPT BANKCASH CASINOSSTACKEM SUPERMARTS15) Which company had the widest range of share prices over the 5 years? Pilemin Airlines Share price range 1.45 - 180 = 35pRentaBanga 1.55 - 170 = 15pRupt Bank 0.45 - 1.65 = £1.25Cash Casinos 0.40 - 1.20 = 80pStackem Supermarts 1.55 - 2.00 = 45p

16) Which year had the widest range of share prices? So với tất cả trong 1 năm2002200320042005200616) Which year had the widest range of share prices? 2002 Range 0.4 - 1.95 = 1.55 2003 0.55 - 2.00 = 1.452004 0.85 - 1.75 = 0.902005 0.75 - 1.85 = 1.102006 0.9 - 1.65 = 0.75

17) Between 2002 and 2006 what was the approximate total change in share prices for all companies?-15%-5%5%15%25%17) Between 2002 and 2006 what was the approximate total change in share prices for all companies? Total share price 2002 = £5.80Total share price 2006 = 7.20Percentage increase in price = (Change in price/original price) x 100 = (1.40 / 5.80) x 100 = 24.1% = + 25% to nearest 5%

18) If the proportional change in share price for Pilemin Airlines had been the same as that for Rupt Bank between 2002 and 2006 what would have been the value of Pilemin Airlines shares in 2006?3.313.814.314.815.3118) If the proportional change in share price for Pilemin Airlines had been the same as that for Rupt Bank between 2002 and 2006 what would have been the value of Pilemin Airlines shares in 2006? Share price for Rupt Bank 2002 = £0.45Share price for Rupt Bank 2006 = £1.65Change in share price for Rupt Bank 2002-06 = 1.20 / 0.45 = 266%Price of Pilemin Airlines shares in 2002 = 1.45Increase in price of Pilemin Airlines shares 2002 - 2006 = Price in 2002 x Change in share price for Rupt Bank1.45 x 2.66 = £3.86Therefore price in 2006 = original price plus increase in price = £1.45 + £3.86 increase = £5.31

Nếu lấy tốc độ tăng thì làm như trên, nếu so sánh bình thường thì 1.65/0.45*1.45=5.31

19) If in 2006-07, the average share price changes by the same percentage as the percentage of average share price increase between 2002 & 2003 for all these companies, what will be the change in average share price for all these companies between 2006 & 2007?11p15p19p23p27p19) If in 2006-07, the average share price changes by the same percentage as the average percentage increase between 2002 & 2003 for all these companies, what will be the change in average share price for all these companies between 2006 & 2007? Total share price 2002 = £5.80 Total share price 2003 = 6.40 Percentage increase in price = (Change in price / original price) x 100 Change in average share price 2002 - 2003 = 0.60/5.80 x 100 = 10.34%Average share price in 2006 = £7.20 / 5 = £1.44Change in share price 2007 - 2007 = £1.44 x 10.34% = 14.89p = rounds to 15p

20) What was the approximate range in CPI values in 2001?8

9101112

20) What was the approximate range in CPI values in 2001? Largest = + 9.1 (Hungary)Smallest = - 0.8 (Japan)therefore range = 9.9 rounds up to 10

21) What was the mean percentage change in CPI for all countries from the previous year in 1998?34 tổng cột 1998 /1056721) What was the mean percentage change in CPI for all countries from the previous year in 1998? Total CPI change for all countries in 1998 = 0.9+0.7+0.6+14.2+2.0+0.7+15.9+1.8+1.6+1.5 = 39.8Average CPI change = total change for all countries / number of countries = 39.8/10 = 3.98 which rounds to 4

22) If a printer cost 200 US Dollars in 1996 how much would it cost in 2000 assuming the price grew in line with US changes in CPI?216219 200*(1+2.3%)*(1+1.5%)*(1+2.2%)*(1+3.4%)22222522822) If a printer cost 200 US Dollars in 1996 how much would it cost in 2000 assuming the price grew in line with US changes in CPI? Cost in 2000 = original price x change in CPI 1996-97 x change in 1997-98 x change in 1998-99 x change in 1999-2000= 200 x 1.023 x 1.015 x 1.022 x 1.034 = 219.45 which rounds to 219 dollars

1) What is the minimum total cost of buying 319 Staplers, 1280 A5 Notebooks and 382 Ring Binders?

2) Under a budget of £3000, how many more A4 large refill pads can I buy at Papertrail Ltd than at Dalton Office Supplies?

3) Assume that the price lists for Dalton Office Supplies and Papertrail Ltd do not include VAT (20%). What will the total price (including VAT) of purchasing 1902 Pencils from Dalton Office Supplies and 268 12 Inch Rulers from Papertrail Ltd?

4) What was the percentage increase of Cotton output between 2011 and 2012?

5) The predicted Linen output in 2013 is 38% higher than in 2012, and the predicted Linen output for 2014 is 27% higher than in 2013. What is the predicted Wool output for 2014?

6) The Cotton output in 2006 was 42 tonnes, the Wool output was 47% of total Cotton output and Linen output was 23% of Wool output, what was the total combined Wool and Linen output for 2006?

7) Commission is earned based on a flat percentage of the consultant's sales total, which remains the same for all consultants. What sales total is required to earn £60,000 of commission?

8) Of all the Consultants with more than 25 candidates placed during 2012, which Consultant charged the largest average fee per candidate?

9) As a percentage, how much larger is the Client Satisfaction Rate of the Consultant with the highest Client Satisfaction Rate, compared to the Consultant with the lowest Client Satisfaction Rate?

10) Calculate the mean annual Aluminium price for 2012?11) How much profit would have been generated if you had purchased

5.6 Tonnes of Aluminium in august 2012 and sold the metal in September 2012?

12) A commodities broker charges 2% commission on the value of each transaction. How much profit would be generated if you purchased 3.7 tonnes of Aluminium at its Year Low price in 2001, and sold the metal at the 2006 year High price, all through the mentioned commodities broker?

13) Which question has the largest number of positive responses?14) 2,290 employees were asked to undertake the employee satisfaction

survey. How much lower was the response rate (%) for question 7 compared to the mean response rate for all 8 question items?

15) The company's management have set a target to increase the total number of positive responses by 12.5%. Assuming that the total number of respondents does not change, what is the target number of positive responses?

16) What is the total value of the High Grade Copper within the pension fund?17) By January 2013 the Real Estate Equity had increased by 34% since July

2012, however all other holding has remained the same value. What is the total value of the Pension Fund in January 2013?

18) The Cash portion of the Pension Fund is held in three different currencies, Swiss francs, Euros and Pounds Sterling, with a respective ratio of 4:2:1. What is the total value of the Euro's held in the pension fund?

........................................................................................................................................................

1) At the start of 2013, 8% Obsidian Laboratories staff were made redundant, and shortly after 4% of the remaining staff were headhunted by competitors. What is the remaining number of staff at Obsidian Laboratories?

2) Which Competitor has the highest annual profit margins?

3) In which quarter was the highest combined profit of all 5 competitors generated?

4) If Bio-ethanol comprises 28% of all electricity generated by Bio Fuels, how much electricity is generated by Bio Ethanol?

5) The main energy sources within the "Other" category are Tidal Energy, Ocean Thermal Energy and Carbon Neutral Fuels, with a respective ratio of 5:2:1. What is the Total Power Production generated by Tidal Energy?

6) Electricity production via solar energy has grown 11% per year every year since 2008, what was the Solar Power Production in 2009?

7) How much CO2 would be produced from a 3.6 mile journey by a solo driver of in an Average Car, followed by a 12.8 Train journey with 50 occupants per carriage?

8) How much CO 2 would be produced per passenger mile by a bus which is 100% full?

9) Which how much more or less CO2 is produced by a 38 mile solo drive in a Hybrid Car compared to a 69 mile journey on a Bus which is 75% full?

10) In which year was Matrix Connections highest overall revenue based on these three products?

11) In which year was the Internet revenue equal to the combined Mobile and Landline revenues?

12) As of 2012, what percentage of total revenue is generated by Landline revenue?

13) How much is 18,297 in US Dollars in Japanese yen?14) How much is 209,828 Chinese Yuan in Euros?15) A UK travel agent offers an exchange rate of 1.483 US dollars to the

Pound Sterling. How much extra would it cost to purchase $900 through the travel agent compared to official exchange rate?

16) What is the average GDP (PPP) per capita (per person) in the People's Republic of China?

17) The gross state product (GSP) of the state of California in the USA accounts for 13.1% of the USA's total GDP, what is the GSP of California in dollars?

18) The size of the European Union's economy is equivalent to a GDP of $16.07 trillion, what percentage of this figure is accounted for by the GDPs of Germany, France, Italy and the United Kingdom?

............................................................................................................................

1) How much more or less water is discharged in 1 minute by the Yangtze River compared to 9 seconds by the Amazon river?

2) What is the fourth largest River in the world by Drainage Area (km²)?3) The Caspian Sea is widely considered to be the world's longest lake,

measuring at 1,199km in length. What percentage of the River Nile's length does this figure represent?

4) Which month saw a trade surplus?5) Which month saw the largest trade deficit?6) What was the average Export output for 2010?

7) Which year yielded the highest revenue per employee?8) Which year did the company generate the largest gross profit?9) Employee remuneration makes up 85% of total costs. What was the

average salary expense per employee during 2007?

10) Having bought 198 shares of Alpha-Gamma Financial at its 52 week low, what would the profit on the transaction be if these shares were sold on 19/07/2012?

11) What would be the total dividend income earned through holding 297 shares of Optimum, purchased at the 52 month high and held for 1 year? Assume that dividends are not reinvested.

12) 109 Curzon plc. shares were purchased during the 52 week high and 89 shares were purchased during the 52 week low. How much profit or loss would be generated if all Curzon plc. shares were sold on 19/07/2012?

13) How much larger is the U.S Services industry compared to the Chinese Services industry?

14) 31% of China's Industry sector was accounted for by the mining industry. What is the size of China's mining industry?

15) China plans to increase the country's GDP per capita (per person) by 7% the following year. What China's goal GDP per capita?

16) How much more or less profit would be generated from purchasing £1000 of Rice in august and selling it in November, compared to purchasing £1000 of Maize in October and selling it in December?

17) The Price per tonne of Wheat is expected to rise by 3.2% in January and 4.5% in February. How much would 7.4 tonnes of wheat be worth in February if the predictions are accurate?

18) 1 metric tonne of Maize can be fermented into 380 litres of fuel ethanol. This fuel Ethanol can be sold for £1.21 per litre. How much profit could be generated by purchasing 47 tonnes of Maize in December, fermenting the Maize into Ethanol and selling it, not including any other production costs?

............................................................................................................................

Practice numerical test

In this set of practice questions, you have to use facts and figures presented in the statistical table and graph

beneath to answer the questions below. In each question, you are given five options from which to choose.

One, and only one, of the options is correct in each case.

For numerical tests of this nature you can use a calculator. You may try the following questions with or without

the use of a calculator — as you wish. In addition, you may use rough paper for your working out.

1. Which country had the highest number of people aged 60 or over at the start of 1985?

UK

France

Italy

Germany

Spain

Correct answer = Germany

Answer:

This question requires you to look at the ‘Population Structure 1985’ table. The table tells you the proportion of

people in the population of each country aged 60 or over at the beginning of the year, as well as the absolute

population of each country at the start of the year.

In order to answer the question, you must calculate the following:

21% of 56.6m = 11.89m people (UK)

19% of 55.2m = 10.49m people (France)

19% of 57.1m = 10.85m people (Italy)

20% of 61m = 12.2m people (Germany)

17% of 38.6m = 6.56m people (Spain)

You might logically infer, for example, that the answer definitely is not ‘France’ because France has the same

percentage of the population aged over 60 as Italy (both with 19%), but Italy has a larger absolute population.

However, the calculations outlined above are a way of finding out the answer without making any untested

inferences.

The correct answer is ‘D’ – Germany

2. What percentage of the total 15mm button production was classed as sub-standard in September?

23.5%

25%

27.5%

15%

17.5%

Correct answer = 23.5%

Answer:

This question requires you to look at the ‘Production of 15mm Buttons’ chart. From here we read that the total

button production in September was 85,000, and the number of standard buttons produced was 65,000. Since

the total button production comprises only standard and sub-standard buttons, the number of sub-standard

buttons produced can be calculated thus:

85,000 (total) – 65,000 (standard) = 20,000 (sub-standard)

Expressed as a percentage of total button production, the 20,000 sub-standard buttons represent 23.5%.

The correct answer is ‘A’ – 23.5%

3. How many live births occurred in 1985 in Spain and in Italy together (to the nearest 1000)?

104,000

840,000

1,044,000

8,400,000

10,440,000

Correct answer = 1,044,000

Answer:

This question requires you to look at the ‘Population Structure 1985’ table. Here we read that in Spain, there

were 12.1 live births per 1000 population in 1985. In Italy, this figure was 10.1 live births.

To calculate the absolute number of births in Spain:

(38,600,000 (total population) / 1000) x 12.1 = 467,060 births

and in Italy:

(57,100,000 (total population) / 1000) x 10.1 = 576,710

We must then add these two numbers together and round to the nearest 1000 to arrive at 1,044,000 births.

The correct answer is ‘C’ – 1,044,000

4. What was the net effect on the UK population of the live birth and death rates in 1985?

- 66,700

+ 84,900

+ 85,270

+ 752,780

Cannot say

Correct answer = + 84,900

Answer:

This question requires you to look at the ‘Population Structure 1985’ table. We must work out the absolute

number of births and the absolute number of deaths in the UK in 1985, and then consider the difference

between these two figures.

In the table we read that there were 13.3 live births per 1000 population, and 11.8 deaths per 1000 population,

in the UK 1985. Therefore to calculate the absolute number of births:

(56,600,000 (total population) / 1000) x 13.3 = 752,780 births

and to calculate the absolute number of deaths:

(56,600,000 (total population) / 1000) x 11.8 = 667,880 deaths

The number of births is 84,900 higher than the number of deaths.

The correct answer is ‘B’ – + 84,900

5. By how much did the total sales value of November’s button production vary from October’s?

- £28.50

- £142.50

+ £285.00

- £427.50

No change

Correct answer = No change

Answer:

This question requires you to look at the ‘Production of 15mm Buttons’ chart. We must calculate the total sales

value of November and October’s button production. The process for calculating each of these figures is the

same.

To calculate the total sales value of October’s button production:

(80,000 (standard button production) / 100) x £5.70 (value of 100 standard buttons) = £4,560

+

(20,000 (sub-standard button production) / 100) x £2.85 (value of 100 sub-standard buttons) = £570

= £5,130 (total sales value October)

and for November:


+


= £5,130 (total sales value November)

Therefore the total sales value of November’s button production is the same as the total sales value of

October’s button production.

The correct answer is ‘E’ – No change

6. What was the loss in potential sales revenue attributable to the production of sub-standard (as opposed to

standard) buttons over the 6 month period?

£213.75

£427.50

£2,137.50

£2,280.00

£4,275.00

Correct answer = £2,137.50

Answer:

This question requires you to look at the ‘Production of 15mm Buttons’ chart. We must calculate the difference

between the total sales value for each month, had all the buttons produced been of standard quality, and the

actual total sales value for that month, and then add up the figures across all the months.

As an example, consider July. The actual total sales value of buttons produced is calculated thus:


+


= £3,705 (total sales value July)

The total sales value, if all the buttons produced had been of standard quality, is calculated thus:


The difference between these figures is the loss in potential sales revenue attributable to the production of

sub-standard buttons for July (£285).

Following the same process for the other months:

Loss in potential sales revenue August = £142.50

Loss in potential sales revenue September = £570

Loss in potential sales revenue October = £570

Loss in potential sales revenue November = £285

Loss in potential sales revenue December = £285

Which gives a total loss in potential sales revenue for the six month period of £2137.5.

The correct answer is ‘C’ – £2,137.50

1. Of which flower type(including christmas trees) most flowers are sold? Violets

Chrysanthemums

Sunflowers

Tulips

Cannot say1. This is a trick question, since you do not know how many flowers are in a bouquet you cannot answer this question, so the correct answer is “Cannot say”. 2. Which of these flowers(including christmas trees) has the biggest relative price fluctuation? Violets

Christmas trees

Sunflowers

Tulips

Cannot say

2. Since it is the biggest relative price fluctuation you should take the highest and lowest price of every flower and divide them. The highest number is the highest relative price fluctuation:low/high = relative price fluctuationViolets 5,00/1,59 = 3,14Chrysanthemums 10,99/4,49 = 2,44Christmas trees 63,00/20,00 = 3,15Sunflowers 12,75/3,99 = 3,19Tulips 9,99/2,99 = 3,34So tulips are the right choice 3. Leonardo wants to buy a fresh bouquet of flowers every week. If he wants to buy the same

flowers every week for a full year and he doesn’t want the cheapest ones. Which flowers should he buy to have the lowest annual cost possible?

Violets

Christmas trees

Sunflowers

Tulips

Cannot say3. Since all seasons are equally long You can just add up the flower prices of every season per flower. The second lowest number will be the correct choice. Christmas trees don’t count since this is no bouquet.Violets 1,59 + 5,00 + 1,59 + 5,00 = 13,18Chrysanthemums 10,99 + 10,99 + 4,49 + 10,99 = 37,46Sunflowers 12,75 + 3,99 + 6,49 + 8,99 = 32,22Tulips 2,99 + 9,50 + 9,99 + 4,99 = 27,47So tulips is the right choice 4. Which flower(including christmas trees) gives the highest yield in autumn? Chrysanthemums

Christmas trees

Sunflowers

Tulips

Cannot say

4. bouquets * price = yield

Violets 433 * 1,59 = 688,47

Chrysanthemums 635 * 4,49 = 2851,15

Christmas trees 76 * 40,00 = 3040

Sunflowers 412 * 5,49 = 2261,88

Tulips 167 * 9,99 = 1668,33

So Christmas trees is the correct answer

5. What % of annual tulip sales is sold in spring?

48%

50%

52%

54%

Cannot say5. spring sales/total sales * 100%876/(876 + 158 + 167 + 478) * 100%876/ 1679 * 100% = 52% 6. What is the % increase in flower sales between summer and autumn? 21%

26%

43%

126%

Cannot say6. (new – old)/old * 100%((433 + 635 + 76 + 412 + 167) – (158 + 967 + 126 + 112))/(158 + 967 + 126 + 112)(1723 – 1363)/1363 * 100% = 26% 7. What is the average price for a bouquet of flowers?

6,90€

9,93€

12,78€

14,82€

Cannot say7. First you should see that you’ll have to exclude christmas trees since these are not sold as bouquets but a piece.add up all other prices and divide by the number of prices added up.(1,59 + 5 + 1,59 + 5,00 + 10,99 + 10,99 + 4,49 + 10,99 + 12,75 + 3,99 + 6,49 + 8,99 + 2,99 + 9,50 + 9,99 + 4,99)/16 = 6,90€

8. What timeframe has the highest average annual change in amount of house sales? 1990-1995

1995-1998

2002-2008

2008-2010

Cannot say8. new year – old year/ amount of years1990-1995 (200 – 500)/5 = -601995-1998 (400 – 200)/3 = 672002-2008 (250 – 450)/6 = 332008-2010 (350 – 250)/2 = 50So 1995-1998 has the highest averaghe annual change. 9. Leonardo expects house sales to increase by 2% per year up untill 2050, how many houses

will be sold in 2050 if Leonardo is right?

773

1273

772814

1272814

Cannot say9. 2% increase for 2050 – 2010 = 40 years1,0240 * 2010 sales1,0240 * 350 = 772,814house sales are x1000 so 772814 is the correct answer 10. After 2010 house sales are expected to increase annually for 10 years. In all odd years sales

go up by 1% and in all the even years sales increase by 2%. What will be the amount of house sales in 2020?

437140

347140

450140

406140

Cannot say

10. 1% increase for 5 years and 2% increase for 5 years

1,015 * 1,025 * 350 = 406,14

housesales x1000 makes 406140 sales

11. Which car has the lowest fuel consumption?

LMW

Ditch

Hindah

Olfo

Cannot say11. This depends on the speed with which you are driving so since you have no information on this the correct answer is “Cannot say”. 12. Leonardo wants to drive from Yesminster to Nominster with his LMW as fast as possible

without risking fines. Which motorway should he take? M3

S12

M6

S7

Cannot say12. distance / speed = travel timespeed is either the speed limit or the top speed of the car.M3: 175 mph/100 mi = 1,75 hourS12: 150 mph/70 mi = 2,14 hourM6: 200 mph/130 mi = 1,54 hourS7: 125 mph/40 mi = 3,125 hourSo the M6 will be the fastest 13. Leonardo wants to drive from Yesminster to Nominster with his Hindah as fast as

possible. Which motorway should he take?

M3

S12

M6

S7

Cannot say13. Leonardo wants to be at his destination as fast as possible and it says nowhere that he doesn’t want to cross the speed limit, so assume he will drive all roads at top speed. If he drives the same speed at all roads the correct answer has to be the shortest road which is the S7. 14. A cargo company needs to drive up and down the M3 between Yesminster and Nominster,

which car will have the lowest fuel consumption? Nault

Ditch

Hindah

Olfo

Cannot say

14. This will be the Hindah. It won’t reach 100 mph since its top speed is 90 mph but nowhere is

mentioned that the drive has to be as fast as possible.

15. A cargo company moves cargo between Yesminster and Nominster. Their drivers are very eager to get to their destination so they always drive as fast as the law or the car allows them. Which car should they drive on which motorway to have the lowest fuel consumption? Keep in mind that the Hindah cars are too small for the cargo company to use. Also The drivers start out in Yesminster and they need to pick up 2 full cars of cargo per day in Nominster and deliver it in Yesminster in every 8 hour shift.

Nault M3

LMW S12

Ditch M6

Olfo S7

Cannot say Cannot say

15. The car will have to drive up and down twice so first calculate the total distance per motorway:

M3: 4 * 175 mi = 700 mi

S12: 4 * 150 mi = 600 mi

M6: 4 * 200 mi = 800 mi

S7: 4 * 125 mi = 500 mi

Looking at fuel consumption the M6 is no option since the drivers want to drive as fast as possible. All

cars use a lot of fuel when driving full speed and combined with the fact that this is the longest road

leads to the conclusion that the M6 is not the right road to take.

Now calculate the minimum speed required to drive this distance within 8 hours:

M3: 700 mi/8 hours = 87,5 mph

S12: 600 mi/8 hours = 75 mph

S7: 500 mi/8 hours = 62,5 mph

This shows the S12 and the S7 are not valid options since the minimum required speed is above the

maximum allowed speed.

So the best road to take is the M3. Now simply check the fuel usage table for the car that has the lowest

fuel usage at 100 mi/hour, which is the Olfo.

So the Olfo on the M3 is the correct answer.

16. Leonardo buys an Olfo and drives for 1250 km on S12, how much gallons of gas does he use?

36

42

47

43750

Cannot say16. The correct answer is “Cannot say” since his speed is not mentioned anywhere. 17. Leonardo buys a Ditch and drives for 3250 km, how much gallons of gas does he use?

95

112

130

150

Cannot say17. The Ditch always uses 25 mpg so it is no problem that you don’t know its speed.Gallons of gas = total distance/mpg3250/25 = 130 gallons

18. What is the ratio Opal/BMV’s sold in May 2012? 0,93

1,08

1,41

1,93

Cannot say18. Total Opal sales/total BMV Sales(130 + 230 + 50 + 90 + 40)/(10 + 140 + 30 + 60 + 260)540/500 = 1,08 19. If the total amount of cars sold has doubled since April 2012 and the ratio Opal/BMV was

halved, how many BMV’s were sold in april?

165

250

338

356

Cannot say19. Total amount of cars May 2012 = 540 + 500 = 1040Total amount of cars April 2012 = 1040/2 = 520Ratio Opal/BMV May 2012 = 1,08Ratio Opal/BMV April 2012 = 2 * 1,08 = 2,16Opal cars April = xBMV cars April = 520 – xOpal/BMV April = x/(520-x) = 2,161123,4 – 2,16x = x1123,4 = 3,16xx = 1123,4/3,16 = 355,5 Opal cars.520 – x = 520 – 355,5 = 164,5So 165 Opal cars is the correct answer 20. If the ratio Opal/BMV in Signtown would be the same as in Cornercity, what would be the

amount of Opals sold in Signtown if the total amount of cars sold stays the same? 30

40

50

60

Cannot say20. Ratio Opal/BMV in Cornercity = 230/140 = 1,64Total cars sold in Signtown = 50 + 30 = 80x/(80 – x) = 1,64x = 131,2 – 1,64x2,64x = 131,2x = 49,69So still 50 Opals would have been sold 21. If the total amount of cars sold in Supercity increases with 5% every month, in what

month will it surpass Greendale in total car sales?

August 2012

Februari 2013

August 2013

februari 2014

Cannot say 21. Since you don’t know how the sales in Greendale will develop you cannot answer this question, so

the correct answer is “Cannot say”.

For how long do machines A and B need to run to produce 1,200 units?

a) 2.5 hours

b) 4.8 hours

c) 1.2 hours

d) 5.2 hours

e) Cannot say

Explanation

Machine A produces per hour 150 units, that is, 1,200/8 Machine B produces per hours 100 units, that is, 1,200/12 So, if

two machines will produce within one hours 250 units, that is, 150+100 To produce 1,200 units simply divide 1,200/250 =

4.8 hours Correct answer: 4.8 hours

If the production cost of machine C amounted to £6,460 then what was the average daily revenue from unit sales?

a) £6,800

b) £3,400

c) £8,500

d) £1,000

e) £8,948

Explanation

Number of units produced: £6,460 / 0.95 = 6,800 Number of days machine C had to run to produce 6,800 units: 6,800 /

800 = 8.5 days Total revenue: 6,800 * £1.25 = £8,500 Average daily revenue: £8,500 / 8.5 = £1,000 Correct answer:

£1,000

In June, if 5 USD was worth 3.2 GBP then how much was one Euro worth in US Dollars?

a) 1.265 USD

b) 1.562 USD

c) 0.518 USD

d) 2.048 USD

e) 0.488 USD

CHƯƠNG 1 Explanation

In June 1 GBP is worth (5 USD/ 3.2 GBP) = 1.5625 USD Then if 0.81GBP is worth 1 EUR then we have to calculate the

follows: 0.81 * 1.5625 = 1.265 USD Correct answer: 1.265 USD

In how many months did the household monthly expenses amounted to less than 200 GBP?

a) 1 Month

b) 2 Months

c) 3 Months

d) 4 Months

e) 5 Months


April: 250 * 0.79 = 197.5 July: 230 * 0.84 = 193.2 Correct answer: 2 months

If you wanted to exchange 1,400 GBP into Euros, in which month would you get the greatest amount (EUR)?

a) May

b) April

c) March

d) July

e) June

If the engine B would be re-engineered for 8.0 amps and 262.5 volts then what would the wattage of the engine need

to be?

a) 1,441 Watts

b) 2,300 Watts

c) 1,121 Watts

d) 2,100 Watts

e) Cannot say


Very simple solution: 8.0 * 262.5 = 2,100 Watts Correct answer: 2,100 Watts

If the monthly expenses for engine E amounted to £135 then approximately for how many hours has engine E run

given that 1kWh cost £0.90?

a) 150 hours

b) 540 hours

c) 416 hours

d) 30 hours

e) Cannot say


If you were trying to solve this question, you were loosing your time! There is not enough information provided to arrive at

the answer. Correct answer: Cannot say

If the engine D needs 2,300 Watts to increase its speed to predetermined level then approximately by what percentage

would you have to change the number of volts to increase number of amps by only 5%?

a) 5.0%

b) 202.6%

c) 46.2%

d) 34.5%

e) 54.2%


Number of amps: 6.81 * (1+0.05) = 7.1505 Amps V = W/A = V = 2,300 / 7.1505 = 321.66 Volts Percentage increase:

(321.66 – 220) / 220 * 100 = 46.2% Correct answer: 46.2%

Which student obtained 65% from BSO201?

a) Sarah

b) Ben

c) Mark

d) Michael

e) Leah


(60/100) * 65 = 39 Then you search which student did obtain 39 out of 60. The only one with 39 on BSO201 is Ben.

Correct answer: Ben

How many students scored at least 15 percentage points more in INT305 than in HRM100?

a) 1 student

b) 2 students

c) 3 students

d) 4 students

e) 5 students


Firstly, find what number of points does 15% equals; that is, (60/100) * 15 = 9 Now, you look at differences of student

score between INT305 and HRM100 and you find that there 3 students that did score at least 15 percentage points more

in INT305 than in HRM100. Correct answer: 3

If the distance travelled by truck A was reduced by 20% then in how many less hours would it arrive to its destination

given that the truck was travelling at 70km/h?

a) 3.4 hours

b) 1.2 hours

c) 1.5 hours

d) 0.8 hours

e) 4.8 hours


Original distance: time taken to get to destination: 420/70 = 6 hours Reduced distance: time taken to get to destination:

336 / 70 = 4.8 hours Distance: 420 * (1 – 0.20) = 336km 6 hours - 4.8 hours = 1.2 hours Correct answer: 1.2 hours

On particular day, if driver of truck D made his journey in 6.5 hours then approximately by what percentage was his

average speed higher or lower in mph?

a) 23% lower

b) 23% higher

c) 30% lower

d) 30% higher

e) Cannot say


350km = 218.75 miles Original speed mph = 218.75 / 5 = 43.75mph Speed for 6.5 hours = 218.75 / 6.5 = 33.6538 mph

Percentage decrease: (43.75mph - 33.6538 mph) / 43.75mph * 100 = 23% To get to the result faster you do not have to

convert km to miles as result will be the same. Correct answer: 23%

numberical test (Đã sửa chữa).docx

Documents

sales of hole

companys sales

sales injune

largest number of sales

hot house sales

sales of stones throw

length x width

sq fttotal area