View File - DPS Sushant Lok,Gurgaon
DELHI PUBLIC SCHOOL, SUSHANT LOK CLASS VIII ASSIGNMENT FOR SUMMER BREAK-MATHEMATICS Hello children. Vacations are round the corner and we are all geared up for the fun and frolic, visits to grandparents and other destinations. The excitement is in the air. Just to keep you all a little connected to academics during the break, we have designed a few questions in Mathematics, which you can very easily fit into your routine. The questions are applications of concepts that you already know. We want you to try these independently and put in your best effort. However, if you are not able to solve them, you need not worry. We will solve them together when we re-join school after the holidays. Attempt them on A4 single lined sheets. Here we go: Q.1 Talk about vacations and our minds venture unto roller coasters and all the thrilling rides that we can thinkof! Letβs bring Maths alive inthis favourite destination. ππ Roller Coaster at an amusement park is m high. If a new roller coaster is built that is ππ ππ ππ times the height of the existing coaster,what will be the height of the new roller coaster? Q.2 Summer Fruits are the yummiest!!! And the fruit salads are a healthy delight.Right?Take thefollowing situationA fruit salad recipe requires 1/2 cup of sugar. Anotherhealthy yet tasty recipe for thesame fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to 1/16 cup, how much more sugar does the first recipe require? Q.3 You canβt change the past but you can change the future!!! Remember to RECYCLE ο The table shows the portion of some common materials that are recycled. Material Paper Aluminium Cans Glass Scrap Recycled 5/11 5/8 2/5 ¾ a) Is the rational number expressing the amount of paper recycled more than ½ or less than ½ ? b) Which items have a recycled amount less than ½? Q.4 Our city is full of malls!Shopping at these is great fun!! But, we must also keep the savings quotient in mind . Maanya and Suvanshi each receive an equal allowance. The table shows the fraction of their allowance each deposit into her savings account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each. Where money Fraction of allowance with Fraction of allowance with goes Maanya Suvanshi Savings ½ 11/3 Account Spent at the ¼ 3/5 Mall Left Over ? ? Hint: Subtract the spending from the total amount in the savings account and multiply the result with Rs 1260. Thatβs it!!! Q.5 The diagram shows the wingspans of different species of birds. Use the diagram to answer the questiongiven below: a)How much longer is the wingspan of an Albatross than thewingspan of a Sea Gull? b)How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay? Q.6 The stock market keeps fluctuating! Try your hand at this. The stock market measures earnings per share of stock of companies. On Monday, Company ππππ ππππ ABC opened and closed at Rs22 per share. On Tuesday, it roseRs per share. On ππ ππππππ ππ ππππππ Wednesday it fellRs1 per share. On Thursday it fell another Rs1 per share. On Friday ππ ππππ ππππ it gained Rs per share. What was the price of a share of stock for Compay ABC at the ππππ close of the stock market on Friday? (I think the price wouldnβt cross Rs 21β¦. What do you say?) Q.7 What is your favourite snack? Chips or something nutritious!!! The following circle graph shows the five most popular snacks for people ages 20-24. There were120 people in this survey. a) What fractional part of people ages 20-24 like fruit? b) How many people prefer chips based on the survey? Q.8 Dev is working on a school report in a word processor. He wants to place a figure ππ which is 13 cm wide so that it appears centred on the page.The width of the page ππππ ππππππ is 21 cm. How much margin should she leave on the left so that the figure is ππππππ centred? (Hint: The margin on the left equals margin on the right, say x cm ) Q.9 Isnβt it lovely to spend time with your favourite hobby during vacations!! Iβm sure painting tops the chart. Mona is making a picture frame. She wants the frame to be 1½ inches wide. The picture is a 8in x 10in photograph. How long should she cut the length (side a) of the frame? Also, find the area of the frame in square centimetres.(Remember! 1 inch= 2.5 cm) Q.10 We all can surely surprise ourselves by making quick and easy recipes during the summers and baking a cake would be great!! ππ Vivan is measuring out the ingredients of a recipe. The recipe requires 2 cups of flour to ππ prepare one portion. His measurement cup is labelled in millilitres (ml). (Iβm sure you are aware that 1 cup = 250 ml)How much flour (in ml )should he use to prepare three portions Q.11 On a winter day the temperature at a place in Himachal Pradesh was β16°C. Convert ππ π π βππππ it in degree Fahrenheit (0F) by using the formula: = ππ ππ Q.12 From a rope 40 metres long, pieces of equal size are cut. If the length of one piece is ππππ metre, find the number of such pieces. ππ Q.13 Neera had Rs 117 ππ ππππ in her bank account.This week she filled her car with gas for Rs ππ 67 ¾ for 3 days each, went to the buy booksfor herself andRuby for Rs2 each and ππππ deposited a birthday check from her grandma forRs 400. Use a suitable property of rational numbers to calculate Neeraβs current bank balance.(Iβm sure you can rearrange the rational numbers to make calculations easy.) Q.14 A man left ¼ of his property to his wife,1/5 each to his 2 daughters and the remainder to charity.Find the share left to charity. Q.15 I read 2/9 of a book on Friday,1/3 of it on Saturday and the remaining 160 pages on Sunday.How many pages are there in the book? Q.16 Donβt we all love playing out in the open. Four friends had a competition to see how far they couldhop on onefoot. The table given below shows the distance covered by each. Name Distance covered (km) Seema 1/25 Nancy 1/32 Megha 1/40 Soni 1/20 (a) How much farther did Soni hop than Nancy? (b) What is the total distance covered by Seema and Megha? (c) Who walked farther, Nancy or Megha? (Just a simple trick!!Take the LCM and leave the answer in the form of a rational number ο) Q 17. Danielβs garage is 8 ft long by 10 ft wide. His living room is twice as long, and twice as wide as his garage. Danielβs house is 3 times as long, and 4 times as wide as his living room. What is the total perimeter of his house? Q 18Neera had Rs 117 ππ ππππ in her bank account.This week she filled her car with gas for Rs 67 ¾ for 3 days each, went to the buy books with Ruby for Rs 2 ππ ππππ each and deposited a birthday check from her grandma for Rs 400. Use a suitable property of rational numbers to calculate Neeraβs current bank balance. Attempt the following questions from the prescribed book-Maths Time Pg 18-Q1 and 2 (Rapid Check III),Pg 23- Miscellaneous Questions(Q 6-11), Pg 24- Challege Round(Q.15-18)
© Copyright 2024