1|Page Reporting day For Boarder: 28th/29TH June’14 For Day scholar :-1st July ‘14 2|Page For Boarder : Subject:Mathematics General Instructions: •Submit your work in a file/folder with a cover page. Present your work neatly. •The work should be hand written. •Solve the questions in the worksheet itself, in space provided for each question.. •Manage your work in such a way that a little work is done every day to avoid piling it for the last moment. Q1.Triangle Numbers Triangular numbers are numbers that represent the shapes that you see below . 1 3 6 Find the next two triangle numbers by drawing the dots. Q2. Pascal’s Triangle One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). Look for the pattern. a) Fill in the missing numbers in Pascal's Triangle b) Color the odd and even numbers with two distinct colors Fun with Numbers Q3.Fill numbers in the empty boxes. a) The largest 4-digit number subtracted from the smallest 6-digit number is _____. b) The sum of the smallest 5-digit number, 6-digit number and 7-digit number is ________ 3|Page c) Subtract 176891 from the sum of the greatest 6-digit odd number and the smallest 6-digit even number. _____________ d) Simplify: 999999+111111-1000106. _____________ Q4. Using hints given below, find out the mystery number. a) I. 5 in the thousand place II. 0 in the hundreds place III. 7 in the ones place IV. 3 in the lakh place V. 6 in the tens place VI. 0 in the ten –thousand place The mystery number is ______________________________________________________ b) I. II. III. IV. V. VI. VII. VIII. 5 in the crore place The number in the hundreds place is 4 more than 3 6 in the tens place 0 in the ten –thousand place 7 in the ones place The number in the lakh place is between 6 and 8. The number in the thousand place is 3 less than 8 7in the ten –lakh place. The mystery number is ______________________________________________________ Q5. What is the difference between the smallest six-digit whole number and the greatest 4-digit whole number? Q6. “Subhash Pizza Corner” gets opened at 8:00 am in the morning and closes at 11:00 pm and they receive the order of around 21 pizzas in an hour. About how many pizzas do they sell in a day? (Round your answer to nearest tens) 4|Page Q7. A furniture mart buys and old sofa set at Rs 6,900. The spend Rs 1675 to repair it and put new covers on it. They sold it for Rs 10000. What is the profit or loss? Q 8.The population of a New York City was 8,363,710 in 2008. It was expected to increase by 1,201,987 by the end of 2009. What was the expected population of New York City at the end of 2009? 5|Page Q 9.Gage's Family Amusement park uses a lot of ice during the summer months to keep refreshments cool. Every day, it uses 769 bags of ice. If each bag of ice contains 362 ice cubes, how many total ice cubes are used every day at the amusement park? Q10. Look at the bar graph given below and answer the questions that follow i) On which day did the library receive the most visitors? ii) Approximately how many visitors came to the library that day? 6|Page iii) Why do you think that day had the most visitors? iv) Approximately how many visitors came to the library on Monday? v) Describe the pattern you see in the number of visitors from Wednesday to Saturday. ENGLISH Write your own biography as is done in the novel ‘Black Beauty’. Design your own horse and name it. (Do it in your English notebook.) ______________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________
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