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ICSE Class 8 Sample / Model Paper 2021 : Mathematics

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Soumya Roy
Sikkim Manipal University (SMU), Gangtok
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VIBRANT PREP CLASSES[mock test maths(vii)] TOPIC: DATA HANDLING 1. The weight of 9 members of a team are as given below: 51, 63, 56, 55, 61, 49,65, 70,52 2. The mean of 6, 4, ,7and 10 is 8 find the value of a. 3.Find the median: 12,8,19,30,14,21,9,5. 4. Find the mode of: 9,0,2,8,5,3,5,4,1,5,2,7 5. find the value of k for which the mean, the median and mode of the data 7, 8 ,10 ,k ,11 ,14 ,16 are the same. 6. The result of a science test is as follows 70 80 90 80 80 65 80 70 90 80 65 100 60 70 60 60 70 85 65 70 70 85 90 60 65. make a frequency distribution table for the data and find the mean. 7. The mean of 5 observation is 18. if mean of the first three observations is 15 and that of the last three is 21 , find the third observation. 8. the mean of 4 numbers is 17, if each number is increased by 2 , what will be the new mean? 9. Find the mean, median and mode from the following frequency distribution table: Wages( in rs) 450 500 550 600 650 700 750 Number of employees 8 12 11 15 14 8 8 10. If the mean of 7, 9, x + 3, 12, 2x -1 and 3 is 9, find the value of x. TOPIC: PROBABILITY 1. A box contains 6 identical cards labelled as A B C D E and F. A card is drawn at random from the box, write down the sample space and state the total number of possible outcomes. 2. A letter is picked at random from a box containing identical cards with letter from the word "mathematics", write down the sample space and state the total number of possible outcomes. 3. A two digit number is chosen at random random. Write down the sample space and state the total number of possible outcomes. 4. A ball is drawn at random from a bag containing four identical blue balls and 3 identical red bus, write down the sample space and state the total number of possible outcomes. 5. In a cricket match, a batsman hits a boundary 5 times of out of 24 balls he plays. find the experimental probability that (I) he hit a boundary (ii) he did not hit a boundary. TOPIC: PROFIT, LOSS and DISCOUNT 1. An old television set was bought for rupees 2500, some repairs were done for rupees 150 the set was then sold for rupees 2800, find the profit or loss. 2. Jacob purchased a flat for rupees 75000 and sold it immediately at a gain of rupees 5,000 at what price was the flat sold? 3. The cost price of 12 chairs is the same as the selling price of 10 chairs, find the percentage gain or loss? 4. A dealer bought a 18 chairs at rupees 55 per chair. he sold all of them at rupees 65 per chair and the remaining chairs at rupees 50 per chair, find his gain or loss percent? 5. an umbrella was bought for rupees 115 it was sold at a gain of 7% find its selling price. 6. Bashir bought a table for rupees 2500, at what price should he sell the tables so as to have a gain of 20%? 7. By selling a refrigerator for rs 16740, a dealer suffers a loss of 7%. what is the cost price of the refrigerator? 8. A person borrows rupees 20000 from a bank for 3 years at 12% per year. what simple interest will he pay? how much money will he pay to clear the Debt? 9. in how many years will the simple interest on rupees 8000 at 10% per annum be rupees 1600? 10. At what rate of simple interest will the money triples itself in 20 years? 11. what sum of money deposited in a bank account for 3 years at 8% per year will earn a simple interest of rupees 540? 12. what sum of money lent out at simple interest will become rupees 3700 in 4 years at 12% per year? 13. In how many years will rupees 1450 become rs 2146 at 8% per annum simple interest? 14. a bookseller gain 15% on the cost price by selling book for rupees 368 calculate the cost price of the book? TOPIC: SPEED, TIME and DISTANCE 1. Express 45 kilometre per hour in metre per second. 2. a train is 150 m long, how much time will it take to cross a platform of length 250m, if it is running at a speed of 90 kilometre per hour. 3. Two trains travels 270 km and 375 km in 5 hours and 7.5 hours respectively, find the ratio between the average speed? 4. a scooterist covered a distance in 10 hours. he covered the first half of the distance at a speed of 21 km per hour and the other half distance at a speed of 24 km per hour, find the distance travelled? 5. a man starts from p and reaches q in 9 hours after travelling half the distance at 5 km/h and remaining at 4 km/h, find the distance between p and q. 6. Walking at 3/4th of his usual speed, a person is 10 minutes late to his office. find his usual time to cover the distance. 7. If two trains moving in opposite directions at 60 km per hour and 45 km per hour have lengths 115m and 95m respectively, find the time taken by them to pass each other. 8. A train 125 m long travelling at 81 km per hour overtakes another train travelling in the same direction at 72 km per hour and passes it completely in 80 seconds, find the length of the second train and the time they would have taken to pass one another if they had been travelling at the speeds in the opposite directions? 9. A person rows 1 km downstream in 10 minutes and 1 km upstream in 30 minutes, find the speed of the stream? 10. a man can row 6 km per hour in still water, takes him twice as long to row up as to row down the river, find the rate of the stream.

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