202110550-SUMMIT-STUDENT-WORKBOOK-MATHEMATICS-G05-PART2

20) Stocks of various types of grains stored in a warehouse are as given. Make a pictograph based on the information given. (Textbook, Pg. 81) Grain Sacks Rice 40 Wheat 56 Bajra 8 Jowar 32 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Questions 21) The numbers of the various books kept in a cupboard in the school library 9977 are given in the table. Make a pictograph showing the information given. (Textbook, Pg. 82) Powered by Pictographs

Type of Book Number Science 28 Sports 14 Poetry 21 Literature 35 History 7 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 22) The given pictograph shows the information about the ticket cost for different events. Events Ticket cost Art exhibit Rock concert Botanical garden 9988 Key: Each = ` 2000; Each = ` 1000 a) How much does a ticket to the botanical garden cost? b) How many events took place? Solution: ..………………………………………………………………………………………...

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 23) The number of pens manufactured by three different companies is given in the form of a pictograph. If Key: 1 Pen = 1 Pen, complete the given table. Companies Pens No. of Pens Reynolds Cello Parker 24) Lifespans of different animals are given below. 9999 Lifespan of Animals Donkey Monkey Mouse Powered by Pictographs

Key: Each = 10 years; Each = 5 years a) What is the lifespan of a monkey? b) Is the lifespan of a mouse greater than that of a donkey? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) A fruit seller sold different fruits as given in the table. Form a pictograph with the help of the given data. Fruits Apple Banana Guava Pineapple No. of fruits sold 50 40 60 60 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 110000 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

26) Study the pictograph given and answer the questions. Bottle recycled Grade 3A Grade 3B Grade 4B Grade 5C = 6 bottles a) Which classes gave the maximum and the minimum number of bottles for recycling? b) How many bottles did Grade 5C and Grade 3A give for recycling? Solution: …..……………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 27) Information about the various types of vehicles in Wadgaon is given below. Make a pictograph for this data. (Textbook, Pg. 82) 110011 Powered by Pictographs

Types of vehicles Number Bicycles 84 60 Automatic two-wheelers 24 Four-wheelers(cars/jeeps) 12 Heavy vehicles (truck, bus, etc.) 24 Tractors Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 110022 …………………………………………………………………………………………................. 28) Teddy’s food factory exports bottles of jams. The pictograph shows the number of bottles exported each day. Use the information from the graph to answer the questions.

Days Number of Bottles Monday Tuesday Wednesday Thursday Friday Key: 1 = 10 bottles = 5 bottles a) On which day did they export the least number of bottles of jam? b) How many more bottles were exported on Friday than on Monday? c) How many bottles in all are exported each week? d) How many bottles were exported altogether on Wednesday and Thursday? Solution: ……..………………………………………………………………………................. 110033 …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Powered by Pictographs

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Question 29) According to the information collected from 80 students about their parents’ occupation, the parents of 35 students are in private jobs while the parents of 45 students are in government jobs. Represent this data using pictures. (Key: 1 = 10 students) Solution: ……..………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Question 30) The selling details of pizzas and burgers in different countries are given 110044 below in two different pictographs. Compare the pictographs and answer the questions asked.

Country Pizza slices sold New York Burgers sold Italy China Key: 1 = 10 pizza slices Country New York Italy China Key: 1 = 10 burgers a) Find the difference between the sales of burgers and pizza slices in New York. b) Which country has the maximum sale of pizza slices? c) Which country has the least sale of burgers? 110055 d) Which country has equal sales of pizzas and burgers? e) Is the sale of burgers higher than pizza slices in New York? Powered by Pictographs

Solution: ……………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Count the total number of students in the class. Ask the aim of each student, i.e. what they want to become when they grow up. Represent the above data using a pictograph. Ask the interests of your classmates in different story books (fairytales, comics, fiction, literature, etc.). Collect the information and show this information with the help of numbers and pictographs. 110066

15 Chapter 15: Patterns 1) Square Numbers (Textbook, Pg. 83) (Textbook, Pg. 84) 2) Triangular Numbers (Textbook, Pg. 85) 3) Patterns in Floor Tiles 15.1: Patterns \\ Very Short Answer Questions 1) Write the next square number after 4, 9, 16. [] 2) Write the next triangular number after 3, 6, 10, 15. [ ] 3) To arrange 25 dots in the form of a square, how many rows are required? 107 [] Powered by Patterns

4) To arrange 36 flowers in a square arrangement, how many columns will be required? [] 5) State whether the following statement is true or false. “In a square arrangement, the number of rows is equal to the number of columns.” [] 6) In 7 × 7 square pattern, how many objects can be arranged? [ ] 7) Which number among 3, 6, 9, 10 and 15 is not a triangular number? [ ] 8) Name a number which is square as well as triangular. (Textbook, Pg. 84) [] 9) Is 30 a square number? [] 10) Is 45 a triangular number? [] Short Answer Questions 11) Find the square numbers from the list given below. 5, 9, 12, 16, 50, 60, 64, 72, 80, 81 (Textbook, Pg. 84) Solution: ..………………………………………………………………………………………... 12) How can we obtain square numbers? Solution: ..………………………………………………………………………………………... 108 …………………………………………………………………………………………................. 13) Write the first ten square numbers. Solution: ..………………………………………………………………………………………...

14) How will you decide if a given number is a square number? Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 15) Which are the triangular numbers in the given list? (Textbook, Pg. 84) 3, 6, 8, 9, 12, 15, 16, 20, 21, 42 Solution: ..………………………………………………………………………………………... 16) Write the first ten triangular numbers. Solution: ..………………………………………………………………………………………... 17) Classify the numbers from the given list into square and triangular numbers. 1, 3, 4, 6, 9, 10, 15, 16, 21, 25, 28, 36, 45, 49, 55, 64 Solution..………………………………………………………………………………………... …………………………………………………………………………………………................. 18) Write any two properties of triangular arrangements of objects. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 109 Long Answer Questions 19) Obtain the square numbers of the numbers from 1 to 10 using multiplication. Powered by Patterns

Solution..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 20) Answer the following: a) If 4 is the first square number, which is the tenth one? (Textbook, Pg. 84) b) If 3 is the first triangular number, which is the tenth one? (Textbook, Pg. 84) Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 110 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

Short Answer Questions 21) Write two examples of triangular numbers we observe around us. Solution: ..………………………………………………………………………………………... 22) Write two examples of square numbers we observe around us. Solution: ..………………………………………………………………………………………... 23) Observe the pattern given and answer the following. 4, 16, 36, 64, 100. a) Find the relation between the given numbers. b) Find the next term of the pattern. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 24) Write the relation in the pattern 24, 35, 48, 63,... Find the next term. Solution: ..………………………………………………………………………………………... 111 …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) Identifying the relation, find the missing terms in the following pattern: 2312, 2423, 2534, ----, 2756, ----, ----. Solution: ..………………………………………………………………………………………... Powered by Patterns

…………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) Write the relation in the pattern 12, 24, 48, 96,… Find the next term. Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 27) Make your own shapes and use them to make patterns for sari and shawl borders. (Textbook, Pg. 85) Solution: 112 28) Complete the patterns given: a) 30, 35, 33, 38, 36, 41, 39, 44, _______, _______. b) 2, 6, 12, 20, 30, 42, 56, _______, _______.

Short Answer Question 16 81 29) Find the missing terms in the table. 24 3 4 16 Long Answer Question 113 30) Observe the pattern given and answer the following questions. 1 121 12321 1234321 a) Which type of pattern is this? b) Find the relation given in the pattern. c) If the pattern continues up to 5 rows, find the total number of elements in it. d) Obtain the numbers in the fifth row. Powered by Patterns

Solution: ....…………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Make a collection of pictures in which you can see square or triangular numbers. (Textbook, Pg. 84) On a large piece of cardboard sheet, draw several shapes. Colour half of them. Cut them all out and separate them. 114

16 Chapter 16: Preparation for Algebra 1) Equality and Inequality (Textbook, Pg. 86) 2) Using Letters (Textbook, Pg. 88) 16.1: Preparation for Algebra Right/Wrong Very Short Answer Questions 111155 State right or wrong. Problem 1) 138 > 138 (Textbook, Pg. 87) 2) 138 < 138 (Textbook, Pg. 88) Powered by Preparation for Algebra

Problem Right/Wrong 3) 138 = 138 (Textbook, Pg. 88) 4) (16 + 0) = 0 (Textbook, Pg. 88) 5) (16 + 0) = 16 (Textbook, Pg. 88) 6) 9 + 4 = 12 (Textbook, Pg. 88) 7) (23 + 4) = (4 + 23) (Textbook, Pg. 87) 8) (9 + 4) >12 (Textbook, Pg. 87) 9) (9 + 4) < 12 (Textbook, Pg. 87) 10) (8 + 7) < 12 Short Answer Questions (Textbook, Pg. 88) Say whether Right or Wrong. 11) (4 × 7) = 30 – 2 Solution ..………………………………………………………………………………………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 12) 25 > 5 5 Solution: ..………………………………………………………………………………………... …………………………………………………………………………………………................. 111166 …………………………………………………………………………………………................. 13) (5 × 8) = (8 × 5) Solution: ..………………………………………………………………………………………...

…………………………………………………………………………………………................. …………………………………………………………………………………………................. 14) Fill in the blank with the right symbol from <, > or =. (Textbook, Pg. 88) (45 ÷ 9) ______ (9 – 4) Solution: .…………………………………………………………………………… …………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 15) Fill in the blank with the right symbol from <, > or =. (Textbook, Pg. 88) (6 + 1) _____ (3 × 2) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 16) Fill in the blank with the right symbol from <, > or =. (Textbook, Pg. 88) (12 × 2) _____ (25 + 10) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 17) Fill in the blank in the expression with the proper number. (1 × 7) = (______× 1) (Textbook, Pg. 88) 111177 Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. Powered by Preparation for Algebra

…………………………………………………………………………………………................. …………………………………………………………………………………………................. 18) Fill in the blank in the expression with the proper number. (5 × 4) > (7 ×______) (Textbook, Pg. 88) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 19) Fill in the blank in the expression with the proper number. (48 ÷ 3) < (_______× 5) (Textbook, Pg. 88) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 20) Fill in the blank in the expression with the proper number. (0 + 1) > (5 ×_____) (Textbook, Pg. 88) Solution: .…………………………………………………………………………….…………... 111188 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

…………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Questions 21) Using brackets write three pairs of numbers whose sum is 13. Use them to write three equalities. (Textbook, Pg. 86) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 22) Find four pairs of numbers, one for each of addition, subtraction, multiplication and division that make number 18. Write the equalities for each of them. (Textbook, Pg. 86) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 111199 …………………………………………………………………………………………................. Powered by Preparation for Algebra

…………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Short Answer Questions 23) Use a letter for ‘any number’ and write the following property in short. The product of any two numbers and the product obtained after changing the order of those numbers is the same. (Textbook, Pg. 88) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 112200 …………………………………………………………………………………………................. 24) Use a letter for ‘any number’ and write the following property in short. The sum of any number and zero is the number itself. (Textbook, Pg. 88)

Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 25) Use a letter for ‘any number’ and write the following property in short. The product of any number and zero is zero. (Textbook, Pg. 88) Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 26) Write the following property in words: (Textbook, Pg. 88) m–0=m Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 27) Write the following property in words: (Textbook, Pg. 88) n÷1=n Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. 28) Write the following property in words: 2p × 1 = 2p 112211 Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. Powered by Preparation for Algebra

Long Answer Questions 29) Vedant purchased 12 items from a shop and he needs plastics bags to carry them home. Each bag can hold three items, how many plastic bags will he need to accommodate 12 items? Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 30) Sameer has to buy 2 dozen bananas priced at ` 50 and 5 bottles of juice priced at ` 80. How much money will he need to buy the things? Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. 112222 …………………………………………………………………………………………................. …………………………………………………………………………………………................. ………………………………………………………………………………………….................

Short Answer Question 31) If the price of one gas tank is ` 150, how much money will you need to pay for 4 tanks? Solution: .…………………………………………………………………………….…………... …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. …………………………………………………………………………………………................. Long Answer Question 32) Fill in the box with the right symbol from <, > or =. (40 + 50 – 82) ____________ (80 ÷ 10 × 1) Solution: ..……………………………………………………………………………................. …………………………………………………………………………………………................. 112233 …………………………………………………………………………………………................. Powered by Preparation for Algebra

…………………………………………………………………………………………................. …………………………………………………………………………………………................. Make your own word problems and solve them using the concept of Algebra. Help your mother to calculate the monthly expenses for your home. 112244