Grade 7 / Proportionality 100 exercises corrected

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ChingQuizz : 2 exercises available for Quizz assessment : 1. Reminders on proportionality E.1709 The purpose of this exercise is to complete the proportionality tables proposed below using the three techniques known in sixth grade about proportionality: 1 Passage to unit: Number of minutes 1 7 2.5 Communication price (in e ) 0.40 1 12 2 Horizontal displacement (linearity property) : Run time (in min) 2 4 7 9 Distance traveled (in m) 650 1625 2275 3 Coefficient of proportionality: Number of lengths 2 7 11 23 Distance traveled (in m ) 50 E.1707 For each question, justify that the table is not a proportionality table : 1 Tiller weight (per kg) 1 5 6.5 12 Strawberry prices (in e ) 3.40 17 22.10 40.60 2 Metal weight (in kg ) 4 8 12 40 Metal volume (liter) 0.5 1 1.6 5 E.10147 Justify that the table is not a pro-portional table : Number of letters 2 21 114 2008 Shipping price (in e ) 1 11 57 1004 E.1454 The two tables below are not pro-portional. Justify this statement : a 5 10 15 10 15 20 b 12 18 30 8.4 12.6 20 E.1452 Using the horizontal displacements, complete the proportionality table below : 3 1 4 2.1 21 10.5 2. Switching to the unit E.1733 Consider the table below : 1 3.125 2.5 4 150 0.32 1 40 64 12.8 1 Check that the first two columns of this table form a proportionality situation. 2 Complete the table to obtain a situation of proportional-ity between the two rows of the table. E.401 Consider the table below : 1 0.16 3.6 4 12 6.25 1 2.5 3 4.4 1 Check that the first two columns of this table form a proportionality situation. 2 Complete the table to obtain a situation of proportional-ity between the two rows of the table. 3. Horizontal displacement (linearity property) https://chingmath.fr quizzChap/1015 chapExoCorrec/1709 sacados/1709 chapExoCorrec/1707 sacados/1707 chapExoCorrec/10147 sacados/10147 chapExoCorrec/1454 sacados/1454 chapExoCorrec/1452 sacados/1452 chapExoCorrec/1733 sacados/1733 chapExoCorrec/401 sacados/401
E.1419 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 3 x 4 1.2 b 30 x 20 22 Indication : one will use the intermediate boxes to indicate, if necessary, the stages of one’s reasoning. E.1456 For each question, find the value of x verifying a proportionality relationship in the table. To do this, we’ll use horizontal displacements to fill in, if nec-essary, the empty columns and thus obtain the value of x . a 5.2 26 2 x b 12 1.5 6 x E.1420 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 5 3 2 x b 2.1 x 7 4.9 Indication : one will use the intermediate boxes to indicate, if necessary, the stages of one’s reasoning. E.400 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 3 2.1 2 x b 15 x 6 8 Indication : one will use the intermediate boxes to indicate, if necessary, the stages of one’s reasoning. E.1792 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 5 3 12 x b 5 x 8 2.4 Indication : one will use the intermediate boxes to indicate, if necessary, the stages of one’s reasoning. E.6595 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 4 1.2 7 x b 96 2.4 10 x Indication : one will use the intermediate boxes to indicate, if necessary, the stages of one’s reasoning. E.10151 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 24 36 14 x b 77 x 14 1.8 Hint: one will use the intermediate boxes to indicate, if necessary, the steps of one’s reasoning. E.10149 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 10 10.5 7 X b 8 16.8 5 X Indication : one will use the intermediate boxes to indicate, if necessary, the steps in one’s reasoning. E.10150 Using horizontal displacements, de-termine the value of x to obtain a proportionality table. a 1.5 3.3 6.3 x b 3 6.03 150 x Indication : one will use the intermediate boxes to indicate, if necessary, the steps of his reasoning. 4. Coefficient of proportionality: check the situation of proportionality E.1455 Consider the table below : https://chingmath.fr chapExoCorrec/1419 sacados/1419 chapExoCorrec/1456 sacados/1456 chapExoCorrec/1420 sacados/1420 chapExoCorrec/400 sacados/400 chapExoCorrec/1792 sacados/1792 chapExoCorrec/6595 sacados/6595 chapExoCorrec/10151 sacados/10151 chapExoCorrec/10149 sacados/10149 chapExoCorrec/10150 sacados/10150 chapExoCorrec/1455 sacados/1455 0,481,5302,6523,468Quotient(2/1)Quotient(1/2)×:::×:::
1 Complete the two lines of quotients 2 = 1 and 1 = 2 . 2 Complete the two coefficients of proportionality with their exact decimal values. E.10153 Consider the table below : 1 Complete the two rows of quotients 2 = 1 and 1 = 2 . 2 Complete the two coefficients of proportionality with their exact decimal values. E.11015 Consider the table below : 1 Justify that this table is a proportionality table. 2 Indicate on the table the two proportionality coefficients as decimal numbers. E.398 Consider the table below : 1 Complete, if possible, both rows with the exact decimal values of the quotients 2 = 1 et 1 = 2 . 2 Complete, if possible, the two proportionality coefficients with their exact decimal values. E.1415 Consider the table below : 5.2 4 2.2 3 33.8 26 14.3 19.5 Justify that this table represents a proportional relationship by giving the exact decimal value of one of its coefficients of proportionality. E.1731 Consider the table : 7.7 19.25 38.5 2.625 2.2 5.5 11 0.75 Justify that this table represents a proportional relationship by giving the exact decimal value of one of its coefficients of proportionality. E.10152 Consider the table below : 3 4.4 12.1 7.6 0.6 0.88 2.42 1.52 Justify that this table is a proportionality table by giving the exact value of at least one of its proportionality coefficients. 5. Use of the decimal coefficient of proportionality E.10997 Consider the table below : 3 14 77 101 2.1 9.8 46.2 70.7 Justify that this table does not represent a situation of pro-portionality. E.10998 Consider the table below : 2.3 4.5 0.8 5 6.9 14.4 2.4 15 Justify that this table does not represent a situation of pro-portionality. E.10999 Consider the table below : 3.72 6.48 2.6 4.44 3.1 5.4 2 3.7 Justify that this table does not represent a situation of pro-portionality. E.11001 Consider the table below : 4 5.5 2.2 9 5.6 7.7 3.08 13.5 Justify that this table does not represent a situation of pro-portionality. https://chingmath.fr chapExoCorrec/10153 sacados/10153 0,7532,2591,7571,355,4Quotient(2/1)Quotient(1/2)×:::×::: chapExoCorrec/11015 sacados/11015 3,56,57,5102,85,268×:::×::: chapExoCorrec/398 sacados/398 4,343,17,75,518,21331,522,5Quotient(2/1)Quotient(1/2)×:::×::: chapExoCorrec/1415 sacados/1415 chapExoCorrec/1731 sacados/1731 chapExoCorrec/10152 sacados/10152 chapExoCorrec/10997 sacados/10997 chapExoCorrec/10998 sacados/10998 chapExoCorrec/10999 sacados/10999 chapExoCorrec/11001 sacados/11001
E.1446 Does the table below represent a situation of proportionality? Justify your answer: Weight of rice (in kg ) 2.2 5.3 1.7 512 Rice price (in e ) 2.86 6.89 2.21 66.56 E.11016 Consider the table below : Establish that this table does not represent a situation of pro-portionality. 6. Proportionality with 2 decimal coefficients E.10992 Consider the following proportion-ality table : 1 Complete the two proportionality coefficients. 2 Complete the table. E.10993 Consider the proportionality table : 1 Complete, if possible, the two proportionality coefficients with their exact decimal values. 2 Complete the proportionality table. E.10994 Consider the proportionality table : 1 Complete the proportionality coefficients with their dec-imal values 2 Complete the table. E.10995 Consider the following table of pro-portionality: 1 Complete the two proportionality coefficients with their decimal values. 2 Complete the table. E.10996 Consider the proportionality table below : 1 Complete the two proportionality coefficients with their exact decimal values. 2 Complete the table. 7. Search for decimal coefficients E.1732 Consider the table of proportional-ity: 1 Complete, if possible, the coefficients of proportionality with their exact decimal values. 2 Complete the table. E.1793 Consider the proportionality table below : 1 If possible, fill in the proportionality coefficients with their exact decimal values. 2 Complete the table. https://chingmath.fr chapExoCorrec/1446 sacados/1446 chapExoCorrec/11016 sacados/11016 4,89,61417,6247,51517,527,537,5 chapExoCorrec/10992 sacados/10992 2;415:::3;51;8::::::11:::×:::×::: chapExoCorrec/10993 sacados/10993 2;35;751;4::::::12;58;6:::×:::×::: chapExoCorrec/10994 sacados/10994 3;245;1::::::7;57;1:::×:::×::: chapExoCorrec/10995 sacados/10995 61,57,514,42562,4×:::×::: chapExoCorrec/10996 sacados/10996 5;120;43;4::::::4;8×:::×::: chapExoCorrec/1732 sacados/1732 4;413;2:::1;85::::::11:::×:::×::: chapExoCorrec/1793 sacados/1793 1;80;37;2::::::9×:::×:::
E.402 Consider the following proportional-ity table : 1 Complete the table, if possible, with the exact decimal values of the proportionality coefficients. 2 Complete the table. E.1725 Consider the table of propor-tionality: 1 Complete, if possible, the coefficients of proportionality with their exact decimal value. 2 Complete the table. E.1418 Consider the following table of pro-portionality: 1 Complete, if possible, the coefficients of proportionality with their exact decimal value. 2 Complete the table. E.1416 Consider the proportionality table below : 1 Complete, if possible, the proportionality coefficients with their exact decimal values. 2 Complete the table. E.10154 Consider the proportionality table below : 1 Complete, if possible, the two proportionality coefficients with their exact decimal values. 2 Complete the table. E.10155 Consider the proportionality table below : 1 Complete the two proportionality coefficients with their exact decimal values. 2 Complete the table. E.1448 1 Determine the values of x and y verifying each of the following equalities: a 18 42 = x 5.6 b 1.4 3.5 = 2.2 y 2 Complete the two proportionality tables below : a 18 : : : 42 5.6 b 1.4 2.2 3.5 : : : E.11017 Consider the proportionality table : 1 Complete, if possible, the proportionality coefficients with their exact decimal values. 2 Complete the missing values in the table. 8. Proportionality problem E.9459 A motorist needs to make the Paris-Marseille journey. To connect these two cities, he will have to drive 663 km on the freeway. Taking the freeway, he estimates his vehicle’s consumption at 9.5 ‘ of petrol for 100 km . In this case, what will his car’s consumption be for this journey, rounded to the nearest liter? E.10857 To make a cocktail, Jean needs 1.5 ‘ of orange juice for 6 people. He wants to make the same cocktail for 10 people. How many liters of orange juice will he need? 9. Use of ladders https://chingmath.fr chapExoCorrec/402 sacados/402 1;62;812::::::3533;6:::×:::×::: chapExoCorrec/1725 sacados/1725 27:::8;40;4:::5:::×:::×::: chapExoCorrec/1418 sacados/1418 74,916,12,51,33ba×:::×::: chapExoCorrec/1416 sacados/1416 4;9:::153312::::::7;7:::16;55;1:::×:::×::: chapExoCorrec/10154 sacados/10154 1;84;053;2::::::9:::12;156;6:::×:::×::: chapExoCorrec/10155 sacados/10155 3;082;2:::2;84;9:::5;88::::::5×:::×::: chapExoCorrec/1448 sacados/1448 chapExoCorrec/11017 sacados/11017 1,44,98,4............9,61216×:::×::: chapExoCorrec/9459 sacados/9459 chapExoCorrec/10857 sacados/10857
E.1425 Below is a map of Ivory Coast at a échelle 1 = 9 000 000 . 1 Determine the distance between the political capital Ya-moussoukro and the economic capital Abidjan as the crow flies. 2 An airplane makes the following rotation: Abidjan Korhogo Man Abidjan. Determine the distance of this rotation. Hint: you can use the proportionality table : Échelle Reduced distance (in cm) 1 Actual distance (in cm) 9000000 E.11019 Below is a map of the state of Cal-ifornia : The distance by plane from San Francisco to Los Angeles is 560 km . 1 Complete the proportionality table below (we will com-plete the values in units) San Francisco Los Angeles Reference Actual size (in cm) Reduced size (in cm) 1 2 Deduce the actual distance between San Francisco and San Diego, rounded to the nearest meter. https://chingmath.fr chapExoCorrec/1425 sacados/1425 chapExoCorrec/11019 sacados/11019 SanFranciscoLosAngelesSanDiego
E.1444 Below is a map of Cameroon at 1 = 20 000 000 scale : 1 Determine the distance separating, as the crow flies, the political capital Yaoundé from the economic capital Douala. 2 A plane makes the following rotation: Douala Ngaoundéré Maroua Douala. Determine the distance of this rotation. E.1440 Below is a scale map of Mexico 1 25 000 000 : 1 Determine the distance from the federal capital D.F. (fed-eral district) to Oaxaca. 2 A plane makes the following rotation: D . F . Cancún Chihuahua D . F . Determine the distance of this rotation. E.1428 George has a model of a fighter plane. After making various measurements, he comes to the conclu-sion that the proportionality coefficient for going from full size to reduced size is 0.025 . Find the scale of this model? E.1426 George has a map of his town on which the scale is not written. After making various measurements, he comes to the conclu-sion that the proportionality coefficient for going from real size to reduced size is 0.000 04 . Can you help him find the scale of this map? 10. Search for scales E.11003 Below is a map of the United States of America: https://chingmath.fr chapExoCorrec/1444 sacados/1444 chapExoCorrec/1440 sacados/1440 OaxacaD.F.ZacatecasChihuahuaMonterreyCancunVeracruz chapExoCorrec/1428 sacados/1428 chapExoCorrec/1426 sacados/1426 chapExoCorrec/11003 sacados/11003 SanFranciscoLosAngelesHoustonChicagoMiamiAtlantaWashingtonNewYorkSeattle
The distance between ˇ Los Angeles ı and ˇ New York ı is 3982 km . Complete the proportionality table below to obtain the scale of this map : E.399 Cameroon and its main cities are shown opposite. We know that the distance Douala to Yaoundé as the crow flies is 200 km . 1 a Complete the following table : Douala - Yaoundé Référence Taille réelle (en cm) Taille réduite (en cm) 1 b Give the scale of this map. 2 Copy onto your copy and complete the following table : Distance de Douala to : Maroua Ngaoundéré Ebolowa Taille Réduite (en cm) Taille Réelle (en cm) Taille Réelle (en km) E.1430 Note: Lengths will be rounded to the nearest millimeter. 1 a Given that the distance from the Federal District to Cancún is 1275 km (as the crow flies) , , copy and complete the following table : F.D. ffl Cancún Reference Actual Size (in cm) x Scaled-Down Size (in cm) 1 b What is the scale of this map? 2 Determine the distance between D.F. and Monterrey. https://chingmath.fr ×:::Distanceréduite(en cm)Distanceréelle(en cm)1::::::398200000 chapExoCorrec/399 sacados/399 chapExoCorrec/1430 sacados/1430 OaxacaD.F.ZacatecasChihuahuaMonterreyCancunVeracruz
E.1734 1 Given that the distance from Abidjan to Yamoussoukro is 220 km (as the crow flies) , copy and complete the fol-lowing table : Abidjan Yamoussoukro Référence Taille Réelle (en cm) Taille réduite (en cm) 1 2 What is the scale of this map? 3 Copy the following table onto your answer sheet and com-plete it: Distance from Abidjan to : Korhogo Man Bouaké Reduced size (en cm) Actual size (en cm) Actual size (en km) E.1429 The Eiffel Tower was built in 1889 and was, un-til 1930 , the world’s tallest monument at 325 meters. 1 a In a souvenir store in Paris, a miniature Eiffel Tower is shown in full size opposite. Calculate the scale of this miniature. b Then calculate the width of the Eiffel Tower 2 In another store, another miniature of the Eiffel Tower is to scale 1 4000 . Determine the height of the miniature. E.1427 The car below is a scale model of the Ferrari F40. In reality, it measures 4.5 meters in length. 1 Give the scale of this representation 2 Knowing that the car (the real one) is 1.98 meters wide, give the width of the toy. We’ll give the default approx-imate value to the nearest millimeter for this measure-ment. E.11664 Ci-dessous est représenté la cité scolaire F. Combes de Montpellier Sachant que la largeur du batiment principal est de 76 m . 1 Donner l’échelle de cette carte. 2 Déterminer la longueur de ce batiment. Indication : on pourra utiliser un tableau telle que : Référence Taille réelle (en cm) Taille réduite (en cm) 1 11. Graphical representation https://chingmath.fr chapExoCorrec/1734 sacados/1734 chapExoCorrec/1429 sacados/1429 chapExoCorrec/1427 sacados/1427 chapExoCorrec/11664 sacados/11664 fichierPlus/11664/diaporama.pdf
E.1708 1 Complete the table below so that it is proportional: x 0.5 1 2 4 y 1.5 4.5 5.25 2 Place the points the four points ( x ; y ) found in the pre-vious question in the landmark below. What do you notice? 12. Percentage E.10981 1 The tax collector goes through a neighborhood and takes 12 % of the money that each resident has : that is, he takes 12 e for every 100 e . Complete the table : 2 Using the table above, answer the following questions : Take 12 % from 200 e , is to take . . . . . . e . Taking 12 % of 120 grams, which is : : : : : : g Taking 12 % of . . . . . . kilometers, is to take 2.4 km E.11577 In a doll manufacturing company, the "quality control department"takes samples of 4 % of the dolls produced every day to check production quality. Complete the table below with the number of dolls sampled : E.10983 Give the proportionality coefficient associated with each of the percentages below : a 50 % b 25 % c 20 % d 10 % E.10984 Below are given a sum and a part of this sum. Give the percentage of each of these shares relative to the initial sum : a 6 e from 60 e b 11 e from 44 e c 6 e from 15 e d 42 e from 120 e 13. Percentage: use E.10987 1 In a class of 28 students, 75 % of the students believe they passed a math test. How many students passed the test? 2 A family of four consumes 600 liters of water per day. Approximately 60 % of this water is used for showering and bathing. How much water is used for showering and bathing each day by this family? E.10989 1 A motorist uses 50 liters of gasoline every week. He uses 40 % of this fuel for commuting. How much fuel is used for these journeys? 2 The amusement park ˇ Six drapeaux ı welcomes 15 000 vis-itors in one day. 42 % of visitors are children. How many children visited the park that day? E.10990 1 In December, an employee received a bonus of 600 e , which represents 20 % of his monthly salary. What is his total salary for the month of December? 2 At a match, 12 000 spectators were present in a stadium, representing 80 % of the stadium’s total capacity. What is the total capacity of this stadium? https://chingmath.fr chapExoCorrec/1708 sacados/1708 x01234y123456 chapExoCorrec/10981 sacados/10981 10012200201203403;4SommepossédéeArgentperçu parles impôts×÷ chapExoCorrec/11577 sacados/11577 75175225300NombredepoupéesproduitesNombredepoupéestestees× chapExoCorrec/10983 sacados/10983 chapExoCorrec/10984 sacados/10984 chapExoCorrec/10987 sacados/10987 chapExoCorrec/10989 sacados/10989 chapExoCorrec/10990 sacados/10990
E.10991 1 A factory manufactured 1 320 cars in March. This rep-resented 22 % of this year’s production. How many cars did the factory manufacture this year? 2 A neighborhood has 12 500 residents, representing 16 % of the city’s total population. What is the population of this city? E.11020 1 For Karim’s birthday, his friends ate 80 % of the cake. Knowing that his cake weighed 1.2 kg , give the weight of the rest of the cake. 2 Alice goes on vacation and fills up her gas tank. Upon arrival, she has used 75 % of her tank, which holds 24 ‘ . Give the total capacity of her tank. E.10988 1 A market gardener goes to market with 150 kg of apples. At the end of the day, he has 20 % of his apples left. How many apples are sold? 2 A student spends an average of 4 hours a day on screens. His parents ask him to reduce his screen time by 30 % . By how many minutes will he reduce his screen usage? 14. Percentage: search for a percentage E.10985 In a class of 24 students, 6 students regularly play volleyball. What percentage of students in this class play this sport? E.10986 In a flock of 72 sheep, 18 sheep show signs of disease. What percentage of the flock is affected by this disease? E.11021 The school bus can take 48 stu-dents. But this morning, 42 pupils got on the bus. What is the occupancy percentage of the bus that day?. 15. Percentage: an introduction to developments E.1704 A retailer is offering a discount of 25 % on certain items : a bicycle at 220 e , a tennis racket at 76 e and sportswear at 54 e . 1 Reproduce and complete the table below indicating the discount that will be given on each item: Price (in euro) 100 220 76 54 Remise (en e ) 2 Reproduce and complete the following table showing the price of each item after the discount : Price (in euro) 100 220 76 54 Prix après la remise (en e ) 16. Speed E.1442 A vehicle crosses France from north to south on the freeway. It will be assumed that it has been travelling throughout this journey at constant speed (it will be assumed that stops at toll booths are negligible) : its motion is uniform. 1 Knowing that in three hours he has covered three hun-dred and thirty kilometers, complete the following table : Duration 1 = 4 h 1 = 2 h 1 h 2 h 3 h 10 h Distance (in km ) 2 Determine the value of the proportionality coefficient to go from duration to distance. The coefficient of proportionality for going from du-ration to velocity is called the velocity of uniform motion. 17. With a little algebra E.10956 Consider the table below : 4 x + 3 3 x + 1 x + 1 9 x + 18 9 x + 3 8 x − 12 1 For x =3 , is this a proportionality table? Justify your answer. 2 For x =1 , is this a proportionality table? Justify your answer. https://chingmath.fr chapExoCorrec/10991 sacados/10991 chapExoCorrec/11020 sacados/11020 chapExoCorrec/10988 sacados/10988 chapExoCorrec/10985 sacados/10985 chapExoCorrec/10986 sacados/10986 chapExoCorrec/11021 sacados/11021 chapExoCorrec/1704 sacados/1704 chapExoCorrec/1442 sacados/1442 chapExoCorrec/10956 sacados/10956
18. Use of the proportionality coefficient E.2991 Gérard goes to the supermarket to buy Camemberts ; knowing that the price per unit is 2.99 e , complete the table below to find the price of his purchases as a function of the number of Camemberts bought : 19. Search for a proportionality coefficient E.1703 Justify that the two tables below represent a situation of proportionality. 1 Poids (en kg ) 4 8 10 13 20 Prix (en e ) 6 12 15 19.5 30 2 Poids (en kg ) 3 5 2.5 7 0.5 Prix (en e ) 7.2 12 6 16.8 1.2 E.10432 1 Justify that the table below represents a situation of pro-portionality: Weight (in kg ) 3 4.4 Price (in e ) 6.75 9.9 2 Justify that the table below does not represent a situa-tion of proportionality: Weight (in kg ) 2.1 3.3 Price (in e ) 3.15 4.62 E.2687 Consider the two tables shown below : a 2 7 11 15 0.8 2.8 4.4 6 b 5 6 8 10 6 7.2 9.8 12 Specify, justifying your answers, whether these tables are of proportionalities or not. E.10525 Consider the two tables shown below : a 1.6 2 4.4 7 2 2.3 5.06 8.05 b 0.8 1.5 4 6.5 4.32 8.1 21.6 35.1 Specify, justifying your answers, whether these tables are of proportionalities or not. E.3029 Justify that each example below does not represent a situation of proportionality: 1 A motorist has noted his fuel expenditure over the month in the following table : Number of liters 12 20 33 10 5 Price (en e ) 14.4 24 39.6 13 6 2 Amandine, organizing her birthday, makes the same cake several times ; she has noted in the table below the weight of the cake and the amount of flour used (both units are grams) : Weight of cake 600 750 580 960 Weight of flour 90 114 87 144 E.2993 Justify that each example below does not represent a proportionality situation : a As Julie walks, she measures the number of steps taken and the distance traveled. Here is the chart she obtained : Number of pas 3 5 10 30 54 Distance (en m ) 1.8 2.8 6 18 32.4 b A customer at a store always buys the same type of soda ; here is the table representing his purchases : Quantité 9 5 13 4 16 Prix (en e ) 10.8 6 15.6 4.6 25.6 c The following is the fuel consumption reading for an au-tomobile in relation to the distance traveled : Distance (en km ) 50 254 370 70 Consommation (en ‘ ) 3.6 20.32 28.12 5.67 E.2995 The table below shows the different screen resolutions available on a computer ; dimensions are expressed in pixels: Ecran a b c d e f L 800 1024 1152 1280 1280 1600 ‘ 600 768 864 720 960 900 There are two types of screen : 4 = 3 and 16 = 9 . They correspond to the quotient of width by height. Determine the corresponding resolutions for each of these for-mats. https://chingmath.fr chapExoCorrec/2991 sacados/2991 Prix(eneuro)Quantité32014,9523032,89×2;99 chapExoCorrec/1703 sacados/1703 chapExoCorrec/10432 sacados/10432 chapExoCorrec/2687 sacados/2687 chapExoCorrec/10525 sacados/10525 chapExoCorrec/3029 sacados/3029 chapExoCorrec/2993 sacados/2993 chapExoCorrec/2995 sacados/2995
20. Finding and using the proportionality coefficient E.1705 Consider the table below : Weight of oranges (in kg) 3.5 4 Price (in e ) 14 1 Determine the proportionality coefficient of this propor-tionality table. 2 Determine the price of 4 kilograms of oranges. E.2992 In a bakery, three baguettes of bread cost 1.38 e : Complete the table below. E.3030 In a butcher’s shop, the shopkeeper has partially recorded his sales for the day; complete his ta-ble : E.2686 A cyclist trains at a constant speed. 1 Complete the proportionality table below : 2 At this same speed, how far will he travel in 3 h 47 min ? 21. Proportionality and maps E.10434 Below is a map of Mexico: 1 Complete the proportionality table below between the two quantities ˇ distance measured on the map ı and ˇ dis-tance réelle ı : Indication : we will round off : actual distances to the nearest kilometer. distances on the map to the nearest centimeter. the proportionality coefficient to the unit. 2 Puerto Vallarta is a large city in Mexico located 981 km from Oaxaca on the Pacific side. a Determine the distance ˇ Oaxaca/Puerto Vallarta ı on the map. b Place the city of Puerto Vallarta the map. https://chingmath.fr chapExoCorrec/1705 sacados/1705 chapExoCorrec/2992 sacados/2992 Prix(eneuro)Quantité31,3853,2224,612×::: chapExoCorrec/3030 sacados/3030 Prix(eneuro)Poids(enkg)2,422,828,523.84,750,8×::: chapExoCorrec/2686 sacados/2686 Distanceparcourue(enkm)Duréedel’entrainement(enmin)31,52023243109,5×::: chapExoCorrec/10434 sacados/10434 OaxacaD.F.ZacatecasChihuahuaMonterreyCancun D.réduite(encm)D.réelle(enkm)DF/Chihuahua5,51240DF/OaxacaDF/MonterreyCancun/Chihuahua×
E.10435 Below is a map of the United States of America: 1 Complete the table below showing the proportionality be-tween the two quantities ˇ distance measured on the map ı and ˇ actual distance ı : Note: round off : actual distances to the nearest kilometer. distances on the map to the nearest centimeter. the coefficient of proportionality to the nearest unit. 2 Boston is a large city in the US located 4353 km from San Francisco on the Atlantic coast. a Determine the distance ˇ San Francisco/Boston ı on the map. b Place the city of Boston on the map. 22. Angles and proportionalities: pie chart E.3012 Each disk below is divided into 10 equal parts : 1 Hatch, for each disc, the part corresponding to the given percentage: a 50 % b 20 % c 70 % d 25 % 2 Using proportionality, complete the table below to deter-mine the measure of the angles formed in the previous question : Pourcentage 50 20 70 25 100 Angle E.3022 The pie chart below repre-sents, in a school of 830 students, the choice of stu-dents among the five pro-posed L.V.2: In order to determine the percentage and number of students corresponding to each foreign language, we will complete the table be-low as the questions are asked : 1 Using the protractor, determine the angle representing each part of this diagram. 2 a Give the value of the proportionality coefficient to change from percentages to angles. b Complete the percentages line with values approxi-mated by excess to the nearest unit. 3 a Give the value of the proportionality coefficient to pass from the percentages to the headcount of each of the groups of L.V.2. b Complete the headcount line with values approximated by excess to the nearest unit. https://chingmath.fr chapExoCorrec/10435 sacados/10435 San FranciscoLos AngelesHoustonChicagoMiamiAtlantaWashingtonNew YorkSeattle D.réduite(encm)D.réelle(enkm)Chicago/SanFrancisco5,72972LosAngeles/MiamiNewYork/HoustonSeattle/Miami× chapExoCorrec/3012 sacados/3012 chapExoCorrec/3022 sacados/3022 ArabesEspagnolAnglaisItalienAllemand %E∑ectifAnglesLangueEspagnol AnglaisAllemandItalien Arabes×:::×:::
E.3023 Here are the results of a survey of 540 people about their favorite ice cream fla-vor: Warning, this diagram has not been drawn with the correct measurements : 1 Reproduce and com-plete the table below, taking the default ap-proximate value to the nearest unit from your calculations : 2 Draw the pie chart in accordance with the measurements found in question 1 . E.3033 In a large company with 4 300 em-ployees, a study of the internet browsers used by its employees produced the pie chart below : The aim of the exercise is to find the number of users for each of these browsers. We will complete the table below as we go through the questions : 1 Using the protractor, determine the measure of the cen-tral angle defining each of the segments of this pie chart. 2 Using the proportionality coefficients given in this table, give : the percentage of use of each browser, rounded to the nearest tenth ; the number of users of each browser, rounded to the nearest whole number. E.10527 In a school with 575 stu-dents, a survey was con-ducted on the native lan-guages of its students. The survey results are shown in the graph opposite. The smallest section corresponds to German-speaking students. Note: the graph has not been drawn to scale. Reproduce and complete the table below, indicating the value rounded to the nearest whole number for each of your calcu-lations : 23. Unclassified exercises E.222 Students were asked to indicate their favorite color among red, green, blue and yellow. The results of this study is given in the diagram below : Unfortunately, the y-axis scale has been erased. 1 What percentage of people chose the color ˇredı? 2 Draw up the pie chart corresponding to this study. https://chingmath.fr chapExoCorrec/3023 sacados/3023 Passion7%Chocolat42%Vanille25%Citron13%Fraise13% AngleE∑ectif%ParfumChocolatPassionFraiseCitronVanilleTotal×:::×::: chapExoCorrec/3033 sacados/3033 OpéraInternetExplorerFirefoxAutres %NombreAngleInternetExplorerFirefoxOpéraAutres×:::×::: chapExoCorrec/10527 sacados/10527 Francophone48%Anglophone36%Hispa-nophone12%4% AngleE∑ectif%LangueFrancophoneAnglophoneHispanophoneGermanophoneTotal×:::×::: chapExoCorrec/222 sacados/222 RougeVertBleuJaune
E.1719 Consider the table : 2 1.2 1 4 5 3 2.5 10 1 Complete the following four diagrams : 2 a What can we say about these four numbers? Method : if in a table, we obtain the numbers in one row by multiplying those in the other row by the same number then this number is called proportionality coefficient and we will say that this table is a proportionality ta-ble. b What is the name of this table? 2 Complete the following table : E.11665 Un établissement comprend 275 élèves de la classe de 5e. 72 % d’entre eux sont inscrits à la sortie scolaire de jeudi. Combien d’élèves participeront à cette sortie scolaire? E.11666 Pour acheter la nouvelle table de ping-pong de l’association, Thomas a versé 114 euros ce qui représente 38 % du prix total. Combien coûte la table de ping-pong? E.11667 Omar a dépensé 21 euros de ses 150 euros. Quel pourcentage de son argent a-t-il dépensé? E.877 A purchase of 1542 e is paid as follows : 1 = 3 of the price will be paid at the time of order ; 25 % of the remaining balance will be paid upon delivery; The balance will be paid on credit. 1 What is the amount paid at the time of order? 2 What is the amount paid upon delivery? 3 The balance of 771 e , plus 8 % is paid in four equal monthly installments. Calculate the amount of one monthly installment. https://chingmath.fr chapExoCorrec/1719 sacados/1719 52×:::31;2×:::2;51×:::104×::: 251;2312;5410×:::×::: chapExoCorrec/11665 sacados/11665 fichierPlus/11665/diaporama.pdf chapExoCorrec/11666 sacados/11666 fichierPlus/11666/diaporama.pdf chapExoCorrec/11667 sacados/11667 fichierPlus/11667/diaporama.pdf chapExoCorrec/877 sacados/877 Extrait Juin 2002 - Groupe Est - 8 points