Outside the high school program / Proportion, evolution, average 25 exercises (100% corrected)

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Cameroun43%R.C.A.6%Congo26%Gabon18%Tchad7% 1. Proportion E.9760 During the climb up Mount Cameroon in 1995, out of the 29 students from the French high school Savio, 9 were girls. Give the percentage of girls in this group, rounded to the nearest hundredth. E.1811 In a high school 63 % students live more than 5 kilometers from their school. What proportion of students live more than 5 kilometers away? E.9777 In 1996, there were 57 African coun-tries out of a total of 196 worldwide. What is the share of African countries, rounded to the nearest hundredth? 2. Proportions: workforce search E.9761 Some friends decided to set up an SME (Small and medium-sized enterprise) , among the 3 co-founders, Maissam invested 2 500 euros which represented 12 % of the initial investment. What was the total investment, rounded off to the nearest unit, when setting up their business? E.219 The pie chart shows the debt in 2003 of 5 Central African countries. It was obtained from the World Bank website. We only know that Cameroon had a debt of 9 ; 1 billion dollars in 2003 . All values found will be rounded to the nearest tenth of a billion. 1 Deduce the total debt of these five Central African coun-tries. 2 Give Chad’s debt in 2003 . (Figures taken from Jeune Afrique 2006 ) 3. Percentage E.9764 During a batch, the baker notices that 4 % baguettes of bread have been overbaked. Knowing that 6 baguettes were overbaked, determine the number of baguettes produced in this batch. E.7081 In a school, there are 732 second graders and they represent 37 % of this school. Determine the total number of students in this school. E.7077 A gym offers several activities: fit-ness, weight training, squash, sauna. . . An advertising poster states that squash licensees number 32 people. Knowing that squash licensees represent 14 % of regis- trants at this gym, determine the total number of registrants. Hint: results should be rounded to the nearest whole num-ber. E.7165 We’re interested in a middle school with 375 students, of whom 33 students play Handball : 1 Give the percentage proportion of Hand-Ball practition-ers in this school. 2 Students practicing Hand-Ball represent 15 % of students enrolled in a sports activity. Determine the number of students enrolled in sports activities. 4. Evolution: final value research E.9767 The population of a city was 52 381 inhabitants. Ten years later, its population decreased by 15 % . How many inhabitants does this city now have? E.4358 A store raises all its prices by 5 % . Since a can of soda is worth 400 FCFA , what will its new price be? https://chingmath.fr chapExoCorrec/9760 sacados/9760 chapExoCorrec/1811 sacados/1811 chapExoCorrec/9777 sacados/9777 chapExoCorrec/9761 sacados/9761 chapExoCorrec/219 sacados/219 Cameroun43%R.C.A.6%Congo26%Gabon18%Tchad7% chapExoCorrec/9764 sacados/9764 chapExoCorrec/7081 sacados/7081 chapExoCorrec/7077 sacados/7077 chapExoCorrec/7165 sacados/7165 chapExoCorrec/9767 sacados/9767 chapExoCorrec/4358 sacados/4358
Valeur0Valeur1×?5%Valeur2×?10%×??% 5. Evolution: initial value search E.9768 The sale price of one item is 135 e . This one is shown with a discount of 40 % . What was the price of the item before the sale? 6. Rate trend E.148 In this exercise, we will examine the relationship between a percentage change and the correspond-ing multiplier: 1 Find the multiplier corresponding to the given percent-age change : a 10 b 102 c 2 ; 5 d 36 e 92 f 3 ; 6 2 Identify the percentage change and its corresponding multiplier for each multiplier: a 0 ; 12 b 1 ; 032 c 4 ; 2 d 0 ; 806 e 0 ; 01 f 1 E.1809 1 Find the multiplier coefficients representing each of the following evolutions : a 10 % b 2.5 % c 115 % d 22 % e 10.7 % f 65 % 2 For each multiplier, find the associated change and the corresponding percentage: a 1.02 b 1.375 c 2.1 d 0.15 e 0.85 f 0.912 E.4347 1 Find the multiplier coefficients associated with each of the percentage change rates shown below : a +10 % b − 12 % c +2 % d +112 % e − 10 % f − 25 % 2 For each multiplier, find the associated percentage change rate: a 1.05 b 1.2 c 0.8 d 0.95 e 1.4 f 0.6 , 7. Evolution, problem and percentage of evolution E.7142 For a given electrical power, the regulated kilowatt-hour rate has risen from 0 ; 114 0 e at 01 = 07 = 2007 to 0.137 2 e at 01 = 07 = 2008 . Determine the percentage change rounded to the nearest hun-dredth. E.4360 An individual’s electricity bill has risen from 35 000 FCFA to 52 500 FCFA . Determine the per-centage change. E.9765 In 2000 , China had an annual bud-get for military spending of 42 billion. This budget rose to 98 billion dollars in 2009 . Determine the percentage change rounded to the nearest tenth. E.4362 After a stock market crack, the share of a company worth 54 e was devalued to 35 e . Determine the percentage change rounded to the nearest tenth. E.1810 In 1914 , there were 53 countries in the world recognized as independent. There were 72 at the end of the year 1945 . The number of states reached 194 in 2006 . We consider the changes in the number of independent coun-tries in the world between during the following periods : a de 1914 to 1945 b de 1945 to 2006 c de 1914 to 2006 For each of these periods, specify the characteristic elements of these evolutions. (percentages are rounded to the nearest tenth) 8. Successive developments: overall rate research E.147 1 We’re trying to understand the effect that increasing 5 % and then decreasing 10 % a value would have. a Complete the diagram below : https://chingmath.fr chapExoCorrec/9768 sacados/9768 chapExoCorrec/148 sacados/148 chapExoCorrec/1809 sacados/1809 chapExoCorrec/4347 sacados/4347 chapExoCorrec/7142 sacados/7142 chapExoCorrec/4360 sacados/4360 chapExoCorrec/9765 sacados/9765 chapExoCorrec/4362 sacados/4362 chapExoCorrec/1810 sacados/1810 chapExoCorrec/147 sacados/147 Valeur0Valeur1×?5%Valeur2×?10%×??%
b Deduct the percentage of this evolution 2 What would be the effect of a reduction of 10 % and then an increase of 5 % on a value? E.1898 A value is subjected to several suc-cessive evolutions. Give the multiplier coefficient associated with the overall evolution of this value and then give the asso-ciated percentage (give the multiplier coefficient rounded to 4 digits after the decimal point and the percentages rounded to two digits after the decimal point) . 1 10 % , 10 % then 10 % 2 2 % , 11 % , 3.2 % then 1 % E.9773 In each case, indicate the type of change (increase or decrease) associated overall with the fol-lowing phenomena and the associated percentage rounded to two decimal places : 1 An increase of 20 % followed by a decrease of 20 % . 2 Five successive increases of 10 % . 3 Five successive reductions of 10 % . E.4433 Cameroon’s GDP has evolved as follows : Year 2010 2011 2012 Évolution +3.2 % +3.8 % +5.3 % Determine the characteristics of the change in GDP over the entire period from 2010 to 2012 . (we’ll round the percentage to the nearest tenth) . E.4363 In 1914 , there were 53 countries in the world recognized as independent. There were 72 at the end of 1945 . The number of states reached 194 in 2006. Hint: rates will be rounded to the nearest hundredth of a percent. 1 Determine in each case the percentage rate of change corresponding to the periods : a de 1914 to 1945 b de 1945 to 2006 2 Deduct the percentage rate of overall change from 1914 to 2006 . https://chingmath.fr chapExoCorrec/1898 sacados/1898 chapExoCorrec/9773 sacados/9773 chapExoCorrec/4433 sacados/4433 chapExoCorrec/4363 sacados/4363