Grade 6 / Other 19 exercises (100% corrected)

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ABCD(d1(d2(d3(d4 1. Multiplication tables E.1568 Complete the following multiplication tables : × 14 0 0 5 10 1 6 11 2 7 12 3 8 112 13 4 9 14 × 7 18 23 28 19 24 29 20 25 175 30 21 26 31 22 27 32 E.6609 Complete the following multiplication tables : × 16 0 0 5 10 1 6 11 2 7 12 3 8 128 13 4 9 14 × 8 28 33 38 29 34 39 30 35 280 40 31 36 41 32 37 42 E.2294 Complete the following multiplication tables : × 12 0 0 5 10 1 6 11 2 7 12 3 8 96 13 4 9 14 × 6 21 26 31 22 27 32 23 28 33 24 29 34 25 30 180 35 E.1567 In the table below, each empty box rep-resents the multiplication of the 1 ier number in the row with the 1 ier number in the corresponding column. × 34 35 36 27 28 980 29 To complete this table, we will use the fact that : 980 = 28 × 35 1 Reproduce this table and complete it using only addition and subtraction. 2 Explain your approach to finding the values of the fol-lowing two multiplications: 28 × 36 ; 27 × 36 2. Numerical facts and calculation procedure E.6656 Perform the following calculations men-tally: a 12 ÷ 2 = : : : : : : b 64 ÷ 2 = : : : : : : c 66 ÷ 2 = : : : : : : d 144 ÷ 2 = : : : : : : e 102 ÷ 2 = : : : : : : f 48 ÷ 2 = : : : : : : E.6658 Perform the following calculations men-tally: a 22 ÷ 2 = : : : : : : b 34 ÷ 2 = : : : : : : c 56 ÷ 2 = : : : : : : d 74 ÷ 2 = : : : : : : e 112 ÷ 2 = : : : : : : f 94 ÷ 2 = : : : : : : 3. Axis of symmetry: triangles and quadrilaterals E.6657 Consider the rectangle ABCD shown below : https://chingmath.fr chapExoCorrec/1568 sacados/1568 chapExoCorrec/6609 sacados/6609 chapExoCorrec/2294 sacados/2294 chapExoCorrec/1567 sacados/1567 chapExoCorrec/6656 sacados/6656 chapExoCorrec/6658 sacados/6658 chapExoCorrec/6657 sacados/6657 ABCD(d1(d2(d3(d4
ABCDEFGHIJKL (dADEG ABCDEFGH(HG==(EFIJKL(IJ==(LK(IL==(JKMNOPQRST Which of the four lines drawn below are axes of symmetry of the rectangle. E.6659 Below are four particular triangles : 1 Give the nature of each of these triangles. 2 Draw, if possible, the axes of symmetry of each of these triangles by hand E.3058 Consider the configuration below : 1 Complete the figure to obtain the rhombus ABCD whose straight line ( d ) is an axis of symmetry. 2 Complete the figure to obtain the rectangle EFGH whose straight line (Δ) is an axis of symmetry. E.11816 Below are shown five particular quadri-laterals: 1 Give the nature of each of these quadrilaterals. 2 Draw, if possible, the axes of symmetry of each of these quadrilaterals by hand. 4. What operation? (Eduscol) E.6640 Read the following problems and write down the operation to be performed. You are not asked to complete the calculation 1 When shopping at the bakery, I am asked to pay 2.30 e . I give a bill of 10 e ; how much will I have left? 2 At the mall, I bought a pair of pants for 19.95 e and a sweater for 15.99 e . How much did I pay? 3 To build a wall in the garden, a mason needs 4 bags of cement of 15 kg each. How much cement did he use? 4 Magali’s parents bought a television at 395 e . They de-cide to pay in 5 monthly installments. How much will they pay each month? E.6641 The TGV 5021 departs at 12 h 03 from the Paris station to Bordeaux. A second-class ticket costs 85 e for an adult and 42 e for a child. A group of 20 adults takes their seats on 10 July on the train, which even-tually left late at 12 h 20 . What total amount did this group of adults pay? E.6642 What operation should be per-formed to solve these problems? Write the appropriate symbol in each box: + for addition, − for a subtraction, and × for a multiplication. Akim had 48 e in his piggy bank. For Noël, his father gave him 16 e . How much money does he have now? An electronic game costs 35 e . Celine’s grandfather gave her 10 e . How much will she have to take from her savings to buy this game? Every day, Theo’s mom buys a baguette for 0.90 e . How much does she spend at the bakery each week? Frederic has 34 marbles in his bag. He loses 5 of them during recess. How many marbles does he have left 147 runners have started the departmental cross-country race. Only 119 of them crossed the finish line. How many runners dropped out A At the start of the school year, the art teacher bought 15 pouches of 12 markers. How many markers in total does he make available to students https://chingmath.fr chapExoCorrec/6659 sacados/6659 ABCDEFGHIJKL chapExoCorrec/3058 sacados/3058 (dADEG chapExoCorrec/11816 sacados/11816 ABCDEFGH(HG==(EFIJKL(IJ==(LK(IL==(JKMNOPQRST chapExoCorrec/6640 sacados/6640 chapExoCorrec/6641 sacados/6641 chapExoCorrec/6642 sacados/6642
(d (d E.6643 Using the operations given below, answer the questions posed. 1 5 9 - 1 2 3 9 - 3 6 3 12 13 159 − 12 = 147 159 + 12 = 171 159 ÷ 12=13.25 159=(12 × 13)+3 159 × 12 = 1908 1 a Mrs Durand’s hens have laid 159 eggs, she sells them in boxes of 12 . How many boxes can she sell? b She sells all her boxes. How many eggs does she have left? 2 Mr. Durand had 159 e , but he bought a book from 12 e . How much money does he have now? 3 Mr. Dupont gave 159 e to each of his 12 nephews. How much money did he distribute in total to his nephews? 4 Mr. Dupont divides 159 e equally among his 12 nephews. How much will each nephew receive? 5 Mr Martin has 159 boxes of 12 eggs to sell. How many eggs does he sell? 6 Mrs Martin has stored 159 CDs in a new piece of furni-ture, so she has 12 left. How many CDs did she have in total? E.6644 A middle school publishes a news-paper. To produce it, it required 8 reams of paper of 500 sheets each. Each ream costs 5 e . The college copy machine was used and the total cost of the print run is 46 e . There were 475 copies printed, but 28 were not sold. The selling price of each newspaper is 2 e . 1 What are we looking for when we perform the operation: 8 × 5 ? 2 What are we looking for when we perform the operation: 475 − 28 ? 3 What are we looking for when we perform the operation: A = (8 × 5) + 46 ? 4 What are we looking for when we perform the operation: B = (475 − 28) × 2 ? 5 What are we looking for when we perform the operation: B − A ? 5. Axis of symmetry: complete a figure E.3064 Complete the figure below so that it admits the line ( d ) for axis of symmetry: E.3063 Complete the figure below so that the resulting figure admits the ( d ) axis and the (Δ) axis as the axis of symmetry: https://chingmath.fr chapExoCorrec/6643 sacados/6643 chapExoCorrec/6644 sacados/6644 chapExoCorrec/3064 sacados/3064 (d chapExoCorrec/3063 sacados/3063 (d
(dCFABCDEFGHIJ E.6420 1 Draw the symmetric of the rectangle ABCD with respect to the straight line ( d ) . 2 Draw the symmetric of the triangle EFG with respect to the line ( d ) . 3 Consider the triangle HIJ and its inscribed circle C whose center has been shown on the figure. Trace the symmetric of this figure with respect to the line ( d ) . 4 Complete the figure F so that the line ( d ) is an axis of symmetry of the figure. https://chingmath.fr chapExoCorrec/6420 sacados/6420 (dCFABCDEFGHIJ
AgdeMarseillanSèteMirevalMontpellierNîmes15kmMireval30kmMontpellier84kmNîmesMarseillan12kmAgde23km 6. Unclassified exercises E.6334 A departmental road connects the cities of Agde, Marseillan, Sète, Mireval, Montpellier and Nîmes. The diagram below represents this road and some informa-tion about the distances between these cities: 1 Determine the following distances : a between Agde and Marseillan; b between Marseillan and Mireval; c between Mireval and Nimes ; d between Montpellier and Agde. 2 The following two distances are known : Sète-Béziers : 57 km ; Sète-Avignon: 124 km What is the distance between the cities of Béziers and Avignon? https://chingmath.fr chapExoCorrec/6334 sacados/6334 AgdeMarseillanSèteMirevalMontpellierNîmes15kmMireval30kmMontpellier84kmNîmesMarseillan12kmAgde23km