SAMPLE PAPER, TERM - 1 SESSION 2017-18 MATHEMATICS CLASS-VI Time Allowed- 3 hrs M.M. - 80 General Instructions:- 1. All questions are compulsory. 2. The question paper consist of 27 questions, divided into four Sections A, B, C and D. 3. Section A contains 4 very short-answer type questions of 1 mark each. Section B contains 10 short-answer type questions of 2 marks each. Section C contains 11 long-answer-1 type questions of 4 marks each. Section D contains 2 long-answer-2 type questions of 6 marks each. 4. Write the serial number of the question before attempting it. 5. There is no overall choice although one internal choice is given in given Section B, C and D. SECTION A (Each question carries 1 mark) 1. Write the following numbers in ascending order:- 17704, 99999, 10000030506, 200005 2. Write the name of a quadrilateral having only one pair of sides parallel to each other. 3. What fraction or a revolution covered by the tip of the minute hand of a clock, if it moves from 2 to 5. 4. Radius of the earth is 6400 km and that of Mars is 4300000 m. Whose radius is bigger and by how much? SECTION B (Each question carries 2 marks) 5. Find the difference between the smallest and the greatest decimals from 0.224, 0.00224, 1.004, 1.1004. 6. The LCM of 60 and 90 is 180. Find their HCF. Find LCM of 42, 58, 64 and 25. 7. Write the relation between diameter and radius of a circle. Find the radius of the circle whose diameter is 7cm.
8. A boat is sailing in the north west direction. In which direction it will sail after taking 1 of a revolution clockwise. 9. Find the HCF of 20, 56, 78, and 90 using prime factorization method. 10. On a particular day 73,550 spectators were watching a cricket match in a stadium out of these 38,243 were men, 25,780 were women, and the rest were children. How many children were there in the stadium? 11. A function hall is 260 m long and 120 m wide. Find the side of the largest square tile that can be used to the cover the total area of the floor. 12. Anusha has 72 roses. She wants to make different patterns with roses. Find out in how different ways she can arrange them. 13. The HCF and LCM of two numbers are 44 and 264 respectively. The first number when divided by 2 gives 44 as quotient. Find the second number. 14. Test whether 769483 is divisible by 11 using divisibility rule. Test whether 1728 is divisible by 6 using divisibility rule. SECTION C (Each question carries 4 marks) 15.(i) Find the product of the largest 4-digit number with the smallest 3-digit number. Write the largest five digits even number by using even digits only using distinct digits. 16. Estimate the following (i) 894 + 6873 + 23500 ( to nearest thousands ) 859 44 ( to nearest tens ) (iii) 6958-912 ( to nearest hundreds ) (iv) 100 345 ( to nearest tens) 17. Write the number of faces and number of vertices of the following. (i) Triangular Prism Cylinder Write the number of faces, number of edges and number of vertices of the following. (i) Sphere cube
18. A rectangle is divided into certain number of parts. If 16 of the parts so formed represent the fraction. Find the number of parts in which the rectangle has been divided. Katrina rode her bicycle km in the morning and 8 km in the evening. find the distance travelled by her altogether on that day. 19. Simplify the following :- (i) + - 3 + 8 - - 20. (i) On a particular day, Mr. Gupta walked km, Mr. Sharma km and Mr Khanna 5 km. Find the total distance covered by them. Ram sold books for 15 days by selling 10 books each day. Shyam sold books for 10 days by selling 15 books each day. Who sold more books? 21. Specify the type of the following angles on the basis of the given figure. A (i) ADE D EC (iii) ABC B D (iv) AEC E E C 22. Three children step off together for the morning walk. Their steps measure 20 cm, 25 cm and 30 cm respectively. At what distance from their start will the three children step together again?
23. A mobile number consists of ten digits. First four digits are 9, 9, 7, and 8. The last three digits are 3, 5 and 5. The remaining digits are distinct and make the mobile number, the greatest possible number. What are these digits? In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf? 24. Energy content of different foods are as follows: Food Energy content Wheat 3.2 Joules Rice 5.3 Joules Potatoes(Cooked) 3.7 Joules Milk 3.0 Joules Which food provides the least energy and which provides the maximum? Express the least energy as a fraction of the maximum energy. 25. It was estimated that because of people switching to metro trains, about 33000 tonnes of CNG, 3300 tonnes of diesel and 21000 tonnes of petrol was saved by the end of year 2007. Find the fraction of : (i) the quantity of diesel saved to the quantity of petrol saved. the quantity of diesel saved to the quantity of CNG saved. (iii) Rohan uses bicycle to save petrol. What value depict by him?
Section D (Each question carries 6 marks each) 26. In the given figure, find and write the name of P a) Any two right-angled triangles b) An obtuse-angled triangle c) Two acute-angled triangles d) A scalene triangle 3cm 3cm 4cm Q S T R 8cm If O is the centre of the circle then identify the following : - a) Diameter Z Y b) Two radii c) A chord Q d) Two points in the interior of a circle X e) Two sectors O f) A segment L P R 27. In a five digit number, digit at ten s place is 4, digit at unit s place is one fourth of ten s place digit, digit at hundred s place is 0, digit at thousand s place is 5 times of the digit at unit s place and ten thousand s place digit is double the digit at ten s place. Write the number