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DWARKA INTERNATIONAL SCHOOL SEC-12, DWARKA, NEW DELHI -110078 CLASS: VI TERM-II SAMPLE PAPER SUBJECT: MATHS M.M. 80 TIME: 3HrS INSTRUCTIONS: 1) 2) 3) 4) 5) The paper consisting of 4 sections. In section A, 1 to 8 mcqs are of 1 mark and 9 to 12 are of 2 marks. In section B, Q.2 to Q.8 is of 2 marks each. In section C, Q.9 to Q.18 is of 3 marks each. In section D, Q.19 to Q.23 is of 4 marks each. SECTION: A (16 marks) Q.1 Choose the correct answer for the following questions: 1) If is equivalent to a) 15 then the value of x is____________ b) 18 c) 12 d)None of these 2) Which of the following are like decimals? a) 5.5,5.05,5.005,5.50 b) 5.5,0.55,5.55,5.555 c) 5.5, 6.6, 7.7, 8.8 d)None of these 3) What wiil be the area of the square each of whose side is 12 cm long. a) 12 sq.cm b) 24 sq.cm c) 36 sq.cm d) 48 sq.cm 4) six less than a number p is 2. What is the number? a) p – 6 =2 b) 6 – p =2 c) p – 2 =6 d) 6 – 2 =p 5) If a,b,c are in proportion then a) a:b::b:c b) a:b::c:a c) a:b::c:b d) a:c::b:c 6) Which of the English alphabet has no line of symmetry? a) A b) B c) O d) L 7) The coefficient of x in – 9xy is _______________ a) -9 b) xy c) -y d) -9y 8) 2Kg 56 g is equal to a)2.56 kg b) 2.056kg c) 2.560kg d)None of these 9) The square of (-10) added to the cube of (-5) gives a) -15 b) 225 c) -225 d) -25 10) The ratio between two numbers is 3:4 and their sum is 84. The difference between the numbers is a) 1 b) 7 c) 12 d) 16 11) What must be added to x2-x-3 to obtain –x2+ 4x-6? a) 3x-9 b)2x2-5x+3 c) -2x2+5x-3 d) 5x-3 12) What will be the perimeter of a rectangle whose length and breadth are 15.4cm and 6.5 cm respectively? a)4.38cm b) 43.8 cm c) 438 cm d) 4038 cm SECTION: B Q.2 Find the sum of and (7X2 = 14 marks) . Q.3 Arrange the following in ascending order: 2.7, 7.2, 2.27, 2.72, 2.02, 2.007 Q.4 The following pictograph shows different kind of trees in a park. Each symbol represents 8 trees. Answer the following questions. Banyan Tree Neem Tree Mango tree a) How many total trees are there? b) Which are the less number of trees in a park? Q.5 Solve: Q.6 Find the ratio of the following in the lowest form. a) 75 paise to Rs. 5 b) 3dozen to 2 scores Q.7 Write 4 english alphabets which have exactly one line of symmetry. Q.8 Draw an angle of 600 with compass.(steps are not needed) SECTION: C (10X3 = 30 marks) Q.9 In a vegetable garden 3 of the area is covered with lettuce and 1 with tomato plants. What fraction of the area is planted with these? Q.10 The total weight of a bag containing 13 kg 750 g of potatoes and 8kg 80 g of tomatoes is 22 kg 200 g. How much is the weight of empty bag? Q.11 The sum of the angles of a triangle is 1800 and the angles are in the ratio 1:2:3. Find the measure of each angle. OR Shanta bought 72 kg of wheat for Rs. 324. How many Kilograms of wheat could only Rs. 144? Q.12 The cost of putting a fence around a square field at Rs. 15 per metre is Rs. 432. Find the length of each side of the field. OR Find the perimeter of the following: a) b) c) Q.13 A dice was thrown 30 times and the following outcomes were noted. 4,3,3,2,5,4,4,6,1,2,2,3,4,6,2,3,3,4,1,2,3,3,4,5,6,3,2,1,3,4 Represent the above data in the form of frequency table. Q.14 Add 5x2+ 7y-6z2, 4y+3x2,9x2+2z2-9y and 2y- 2x2 Q.15 Draw any line segment PQ . Take any point R not on it, Through R draw a perpendicular to PQ. (use compass) Q.16 Draw a triangle which has a) exactly one line of symmetry. b) No line of symmetry. Q.17 Draw line segment AB, without measuring AB construct PQ such that the length of PQ is twice that of AB. OR Solve : 2 + +1 +3 Q.18 If x = 1, y = 2 and z = 5 i) 2x2 – 3y2 + z2 ii) 3x – 2y + 4z SECTION: D (5X4 = 20 marks) Q.19 Draw an angle of 750 with compass. Q.20 Draw a bar graph from the following information. Month Tourist Mar 120 Apr 180 May 240 Jun 210 Jul 120 Q.21 Arrange the following in descending order: , , , Q.22 From the sum of 6x4-3x3 +7x2 – 5x + 1 and -3x4+ 5x3 – 9x2 +7x -2 subtract the sum of 2x4 – 5x3 +5x2 – 6x – 8 and 3x4 – 7x3 – 3x2 + 8x +9. Q.23 How many envelopes can be made out of a sheet of paper 324 cm by 172 cm. If each envelope requires a piece of paper of size 18 cm by 12 cm. OR Find the ratio of the following of the price of coffee to that of tea. When coffee costs Rs.24 per 100g and tea costs Rs.80 per Kg.