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ICSE Class 8 Board Exam 2021 : Mathematics

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Avrojit Dutta
R. B. K. School (RBK), Mira Road
10th Science n Computer

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ASSESSMENT 6 2020 21 Std: VIII Marks: 60 Date: 05/04/21 Subject: Mathematics Dur. : 1 Hours _________________________________________________________________________ Q.1. Factorise the following polynomials 1) a2 a(b+5) + 5b 2 2) 7+10 (X Y) 8 (X Y)2 3 Q.2.1) The area of a rectangle is 2X3 8X2 + 5X + 6 and one of its side is X 2. 3 Find the length of the adjacent side. 2) Solve the following using identities a) (208)2 2 b) 30.8 x 29.2 2 3) If a2 + b2 = 73 and ab = 24, Find a b Q.3. 1) Solve : a 2 a+4 = a 3 a+1 3 3 2) The denominator of a fraction is greater than its numerator by 7. If the numerator is increased by 4 and the denominator is decreased by 8, 4 8 the new fraction becomes . Find the original fraction. 3 3) Solve the inequation and represent its solution on the number line. 3X 8 7 , X W 1 3 Q.4. 1) ABCD is a rectangle, diagonals intersect at P. A 0 If BPC = 124 , Find i) BAP ii) BCP iii) ADP 4 D P 1240 B C 2) In the adjoining figure ABCD is a rhombus, OD = 4cm, OC= 3cm OA = X , OB = Y , AB = Z. Find the value of X,Y and Z. D 3 C O A B 3) In the given figure ABCD is a parallelogram, Find the measure of angles X , Y , Z. A 3 B X Y 500 Z D 800 C 4) In the adjoining figure ABCD is a kite. Find the values of X and Y 2 A Y B 1300 X D 600 C Q.5. 1) How many bricks will be required to construct a wall 10m long, 6m high and 22.5cm thick, if each brick measures 25cm by 12cm by 9cm. 3 2) The external dimensions of a closed wooden box are 65cm, 34cm and 25cm. If the box is made up of wood 2cm thick, Find the volume of wood used to make it. 3 2 3) A room is 14m long, 9.5m broad and 4m high. It has 3 windows each of dimension 1.4m by 0.75m, Find the cost of white washing the walls of the room at the rate of Rs 18 per m 2. Q.6. 1) The following table shows by which mode of transport students go to school. Draw a pie-chart to represent the below information. Mode of Transport No of Students On Foot 480 School bus 600 Cars/Bikes 120 4 4 Bicycle 240 2) In an examination, 20 boys secured the following marks: 8,11,20,37,40, 3 15,29,31,27,8,7,13,29,25,42,37,30,10,9,27. Taking class interval 0-10, 10-20, . .construct frequency distribution table. 3) Read the bar graph carefully and answer the following questions? i) In which subject there is maximum scoring of marks? ii) In which subject the performance is weak? iii) What is the ratio of the marks obtained in math and science? 3 3 4) The distribution of weight (in Kg) of 100 people is given below. Draw a histogram to represent the below data. Weight (in Kg) 40-45 45-50 50-55 55-60 60-65 65-70 70-75 Frequency 10 25 27 16 10 7 5 4 3

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