Grade 6 / proportionality 27 exercises (100% corrected)

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ABCD5cm1;4cm ChingQuizz : 8 exercises available for Quizz assessment : 1. Mental calculation E.2996 Copy and perform the following calculations in your head : a 3 × 0.4 = : : : b 5 × 0.2 = : : : c 4 × 0.4 = : : : d 3 × 0.5 = : : : e 9 × 0.2 = : : : f 2 × 0.4 = E.9960 Copy and perform the following cal-culations in your head : a 4.2 × 2 = : : : b 13 × 0.3 = : : : c 12 × 0.04 = : : : d 43 × 0.2 = : : : e 23 × 0.3 = : : : f 3.2 × 2 = : : : E.9959 Copy and perform the following cal-culations in your head : a 3 × 0.4 = : : : c 4 × 1.2 = : : : d 5 × 3.1 = : : : d 2.2 × 4 = : : : e 4.1 × 7 = : : : f 4 × 10.2 = : : : E.2997 Copy and perform the following cal-culations in your head : a 3 × 1.4 = : : : b 7 × 1.4 = : : : c 10 × 3.7 = : : : d 5 × 1.4 = : : : e 1.3 × 4 = : : : f 4 × 3.1 = E.2998 Copy and perform the following cal-culations in your head : a 1.5 × : : : = 4.5 b 12 × : : : = 3 c 0.5 × : : : = 1.5 d 3 × : : : = 12 e 4 × : : : = 1.6 f 12 × : : : = 36 E.2999 Copy and perform the following cal-culations in your head : a 1.4 × : : : = 2.8 b 2 × : : : = 16 c 5 × : : : = 1.5 d 9 × : : : = 36 e 0.4 × : : : = 1.2 f 1.4 × : : : = 4.2 2. Recognize proportionality E.2120 If possible, answer the following ques-tions : 1 The kilogram of strawberries costs 15 e . How much does 500 grams cost? 2 A child weighs 12 kilos at 1 year, how much will he weigh at his next birthday? E.10421 Reminder : Consider a rectangle with length L and width ‘ . Recall the formulas for perimeter P and area A : P = (2 × L ) + (2 × ‘ ) ; P = 2 × ( L + ‘ ) ; A = L × ‘ Consider the rectangle ABCD below : 1 Determine the perimeter and area of the rectangle ABCD . 2 Consider a rectangle EFGH whose dimensions are three times larger than those of rectangle ABCD : its length is three times that of ABCD , and its width is three times that of ABCD . a Give the perimeter of rectangle EFGH . b Give the area of rectangle EFGH . 3. Use of linearity E.2994 Below is a table showing the number of pots of yogurt purchased and the purchase price : Quantité 5 7 2 10 Prix (en FCFA ) 1125 1575 2700 4500 Using mental arithmetic, complete the table above. https://chingmath.fr chapExoCorrec/2996 sacados/2996 chapExoCorrec/9960 sacados/9960 chapExoCorrec/9959 sacados/9959 chapExoCorrec/2997 sacados/2997 chapExoCorrec/2998 sacados/2998 chapExoCorrec/2999 sacados/2999 chapExoCorrec/2120 sacados/2120 chapExoCorrec/10421 sacados/10421 ABCD5cm1;4cm chapExoCorrec/2994 sacados/2994
++++++×5×5×2×2÷6÷6×?×?34,212 E.1702 Jacques has made a chocolate cake for 8 people. He would like to know how to change the pro-portions of the ingredients to adapt his cake to the number of people he will be inviting next time. Help him complete the table below by answering the following questions Nombre d’invités 8 4 12 Chocolate weight (in g.) 200 2000 500 1 What are the two quantities involved in this table? In your opinion, are these two quantities related by a relation of proportionality. 2 Complete this table using horizontal displacements. E.10437 Using horizontal movements, deter-mine the value of x in order to obtain a table of proportion-ality. a 60 12 23 x b 5 3 2 x Note: if necessary, use the intermediate boxes to indicate the steps in your reasoning. E.11225 Using horizontal movements, deter-mine the value of x in order to obtain a table of proportion-ality. a 12 3.6 5 x b 2.1 x 7 4.9 Note: if necessary, use the intermediate boxes to indicate the steps in your reasoning. E.10438 Using horizontal movements, deter-mine the value of x in order to obtain a table of proportion-ality. a 24 36 14 x b 77 x 14 1.8 Note: if necessary, use the intermediate boxes to indicate the steps in your reasoning. E.3028 Using the linearity properties, com-plete the table below : E.10439 Using horizontal movements, deter-mine the value of x in order to obtain a table of proportion-ality. a 1.5 3.3 6.3 x b 3 6.03 150 x Note: if necessary, use the intermediate boxes to indicate the steps in your reasoning. E.10436 Using horizontal movements, deter-mine the value of x in order to obtain a table of proportion-ality. a 12 6.6 26 x b 2 4.2 5 x Note: if necessary, use the intermediate boxes to indicate the steps in your reasoning. E.10788 At the ˇ Chemin Sur ı supermar-ket, all avocados have the same price and we know that four avocados cost 2.4 $ . 1 What will be the price of 10 lawyers? Justify. 2 What will be the price of 25 lawyers? Justify. 4. Passage through the unit E.6634 Complete the following proportion-ality table : Quantité d’essence (en ‘ ) 1 0.8 12.4 13.6 41 Prix de l’essence (en e ) 1.25 1 5.5 15.5 50 E.10431 In a candy store, the price of one kilogram is 16 euros. Complete the table proportionally rep-resenting several different purchases : Poids des bonbons (en kg ) 1 0.2 3.5 Prix des bonbons (en e ) 8 1 10.8 https://chingmath.fr chapExoCorrec/1702 sacados/1702 chapExoCorrec/10437 sacados/10437 chapExoCorrec/11225 sacados/11225 chapExoCorrec/10438 sacados/10438 chapExoCorrec/3028 sacados/3028 ++++++×5×5×2×2÷6÷6×?×?34,212 chapExoCorrec/10439 sacados/10439 chapExoCorrec/10436 sacados/10436 chapExoCorrec/10788 sacados/10788 chapExoCorrec/6634 sacados/6634 chapExoCorrec/10431 sacados/10431
Béné∏ce(ene)Prix de vente(ene)100501303816,25×:::13%de E.10524 A market gardener sells his toma-toes at a market in Paris. the price per kilogram is 6.25 euros. Complete the table proportionally representing several differ-ent purchases : Poids des tomates (en kg ) 1 2.4 0.6 Prix des tomates (en e ) 6.25 1 3.5 E.1701 The table below is incomplete. We would like to complete it so that it represents a situation of proportionality: Volume of petrol (in ‘ ) 2 1 3.4 5.1 Gasoline price (in e ) 2.8 1 What are the two quantities studied in this table? 2 Using the first column of the table, determine the price of a liter of gasoline. 3 Complete the rest of the table by moving it horizontally. E.2121 We would like to complete the table below so that it expresses a proportionality relationship : Poids des olives (en kg) 2 1 5.1 2.7 Prix d’achat (en e ) 25 1 10 24 7 1 What are the two quantities studied in this table? 2 Answer the following two questions and then complete the corresponding columns : a How much does 1 kilogram of olives cost? b How many kilograms of olives can you buy with one euro? 3 Complete the table. 5. Percentage E.207 A company uses 60 % cocoa to make its chocolate. Complete the table : Weight of chocolate 100 200 50 25 1200 75 350 Cocoa used E.2688 A retailer makes a profit of 13 % on each item sold. Complete the table below correctly: 6. Deepening: proportionality coefficient in fractional writing E.5604 We consider the table below repre-senting the number of bags of flour for the confection of a cake to be used according to the number of people : Number of people 14 21 35 Number of bags of flour 4 6 10 By studying the quotient defined by each column of the table, establish that this table represents a situation of proportion-ality. E.2122 Consider the table below : 6 15 4 10 1 Give in simplified fractional form the proportionality co-efficient : a from the first column of this table? b from the second column? 2 Is the table proportional? Justify your statement. 7. Unclassified exercises E.1706 A child has just bought three small miniature cars for 3.60 e . All of these cars have the same price. 1 Calculate the price of a toy car. 2 Complete the following proportionality table : Number of cars miniatures 3 1 2 8 Purchase price (in e ) https://chingmath.fr chapExoCorrec/10524 sacados/10524 chapExoCorrec/1701 sacados/1701 chapExoCorrec/2121 sacados/2121 chapExoCorrec/207 sacados/207 chapExoCorrec/2688 sacados/2688 Béné∏ce(ene)Prix de vente(ene)100501303816,25×:::13%de chapExoCorrec/5604 sacados/5604 chapExoCorrec/2122 sacados/2122 chapExoCorrec/1706 sacados/1706