SAMPLE PAPER, SUMMATIVE ASSESSMENT- II, MATHEMATICS CLASS -VI
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1 SAMPLE PAPER, SUMMATIVE ASSESSMENT- II, MATHEMATICS CLASS -VI Time allowed - 3 hrs Max Marks: 100 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 31 questions, divided into four sections. 3. Section - A contains 1 question of 10 marks. Section - B contains 12 questions of 2 marks each. Section - C contains 12 questions of 3 marks each. Section - D contains 6 questions of 5 marks each. 4. Write the serial number of each question before attempting. 5. There is no overall choice. However, internal choice has been provided only in one question of Section B, C and D. SECTION A 1. Choose the correct option: ( 20) (i) The successor of is ( 19) ( 21) a) c) b) 19 d) 21 ( 1 mark for each question) (ii) (iii) (iv) Which of the following show the difference of two numbers subtracted from their sum? a) c) b) d) 9 mm is equal to a) 0.9 cm c) 900 cm b) 0.09 cm d) 90 cm Area of a square of side 3 cm is a) 6 cm c) 9 cm b) 6 cm 2 d) 9 cm 2
2 (v) (vi) (vii) (viii) (ix) (x) A wire of length 60 m is folded to make a regular pentagon. What is the length of each side? a) 10 m c) 12 m b) 20 m d) Can t say. Which of the following have exactly two lines of symmetry? a) Rectangle c) Square b) Parallelogram d) Trapezium The numeral which has no axis of symmetry is a) 3 c) 2 b) 8 d) 0 24, 8, x,15 are in proportion. The value of x is a) 5 c) 45 b) 10 d) The value of is a) c) b) d) ( 5) a) 2 c) b) 12 d) ( 2) ( 12) SECTION B ( 2 marks for each question) 2. Solve: ( 51 36) Write the decimal number for (a) Five hundred four and 17 hundredths (b) 4. A dice was thrown 20 times and the following outcomes were noted: 3, 5, 6, 2, 1, 4, 5, 6, 4, 2, 3, 1, 1, 5, 6, 4, 2, 3, 1, 6. Represent the data using tally marks.
3 5. The area of rectangular flower bed is 600 m². Find its width if the length is 30 m. 6. Solve 3x 8 20 to find the value of x. 7. Price of 1 Kg rice increased from Rs 64 to Rs 72. Find the ratio of increase in price to the original price. 8. Find the perimeter of a square whose area is 100 m Find the ratio of Rs 25 to 50 paise Draw an angle of and construct an angle equal to this angle. 11. Name and draw a quadrilateral having exactly four lines of symmetry. Show the lines of symmetry. OR Name and draw a triangle having exactly three lines of symmetry. Show the lines of symmetry. 12. What must be added to to get the smallest 3 digit number? 13. Study the bar graph and answer the following questions (a) What information does the bar graph give? (b) What is the increase in population from year 2005 to 2007? SECTION C (3 marks for each question)
4 14. An empty carton weighs 880 g. When filled with oranges, it weighs 17 kg 50 g. What is the weight of oranges? OR Subtract the sum of and from the difference of and The following pictograph shows the amount of pocket money that five friends get each month. Name Rohit Sam Priyanshi Nitish Vriti stands for Rs 10 Amount of pocket money Answer the questions based on the pictograph given above. (a) Who gets the least amount of pocket money and how much? (b) How much more pocket money does Priyanshi get as compared to Rohit? (c) Who gets exactly Rs 50? 16. Amit runs around a playground with length 75 m and breadth 45 m. Geeta runs around a square playground with side 82 m. Who covers more distance? 17. Represent 4 ( 8) 2 using a number line. 18. Find the area of the given figure 19. Simplify: 64 {( 25) ( 46)} ( 8) 20. Write algebraic expressions for the following (a) 7 subtracted from half of a number.
5 (b) 4 is added to 6 times y (c) y is multiplied by -5 and result is added to A horse and a cart together cost Rs If their costs are in ratio of 5:3, find the cost of each. 22. Draw a line segment of any length. Divide it into 2 equal parts using ruler and compass. Measure each of these parts. 23. A car travels 180 Km in 4 hours. (a) How long will it take to travel 405 Km at this speed? (b) How far will it travel in 7 hours? 24. Construct an angle of 60 and its bisector. 25. In the word MATHEMATICS, which letters have: (a) one line of symmetry. (b) two lines of symmetry. (c) no lines of symmetry. SECTION D (5 marks for each question) 26. Archana s present age is z years. Find her (a) age 7 years hence. (b) age 2 years ago. (c) mother s age, who is 5 years elder than twice Archana s age. (d) grandmother s age,who is four times Archana s age. (e) father s age, who is 2 years elder than Archana s mother. 27. A 20 litre mixture of yellow paint and blue paint contains 18 litres of yellow paint. Find the ratio of yellow paint to blue paint in the mixture. Find the amount of yellow paint in 15 litre of this mixture. 28. Marks obtained by Rakesh in SA2 exam are as follows. Subject English Hindi Mathematics Science Social studies Marks obtained Draw a bar graph to represent the above data. 29. In a quiz, team A scored -2, 3, -5 and 7, team B scored -2, 6, 2 and -4, team C scored 2, -6,7 and-5 and team D scored -4, 3, 8 and -1. Arrange them according to the positions they secured, with their scores.
6 30. A room is 8.60 m long and 6.25 m wide. Its floor is to be covered with designer tiles of size 20 cm 10 m. find the total cost of tiles if the cost of one tile is Rs A carpet roll is 120 m long. The shopkeeper cut three pieces of 2075 cm, 15.5 m and mm from it and gave one piece to his worker. How much carpet is left? What value do we learn from it? OR Rahim bought 5Kg mangoes from his farm.he gave 500 gm to his maid, 1.3 Kg to his neighbour and 0.45Kg to his friend. Find the weight of mangoes left with him. Mention the values depicted by Rahim through this act.
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