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Page 1 (1/3) MATHEMATICS Class VI Date – 20.9.2016 General Instructions: • The question paper is divided into four sections. • Section A comprises 5 questions of 1 mark each. Attempt all questions. • Section B comprises 5 questions of 3 marks each. Attempt all questions. • Section C comprises 12 questions of 5 marks each. Attempt any 10 questions. • Section D comprises 8 questions of 6 marks each. Attempt any 5 questions. • Draw neat diagrams wherever needed. • For the questions in sections B, C and D, show the calculations in fair. SECTION – A (Attempt All) Q.1 One crore = ______ ten lakhs. Q.2 ______ is the identity element for addition of whole numbers. Q.3 ______ is the factor of every number. Q.4 ______ is the regular quadrilateral. Q.5 23 – (– 12) = ______. SECTION – B (Attempt All) Q.6 Write in Roman numerals. (a) 40 (b) 90 (c) 73 Q.7 Match the following. (i) 325× 125= 325 × (100+20+5) (a) Commutativity under multiplication (ii) 3 × 4 × 5 = 3 × 5 × 4 (b) Commutativity under addition (iii) 10+20+30 = 10 +30 +20 (c) Distributivity of multiplication over addition Q.8 Find the prime factorization of 980. Q.9 Identify three triangles in the given figure. B A D C Q.10 A square pyramid has a square as its base . Write the number of its (a) Faces ______ (b) Edges______ (c) Corners______ Page 2 (1/3) MATHEMATICS Class VI Date – 20.9.2016 General Instructions: • The question paper is divided into four sections. • Section A comprises 5 questions of 1 mark each. Attempt all questions. • Section B comprises 5 questions of 3 marks each. Attempt all questions. • Section C comprises 12 questions of 5 marks each. Attempt any 10 questions. • Section D comprises 8 questions of 6 marks each. Attempt any 5 questions. • Draw neat diagrams wherever needed. • For the questions in sections B, C and D, show the calculations in fair. SECTION – A (Attempt All) Q.1 One crore = ______ ten lakhs. Q.2 ______ is the identity element for addition of whole numbers. Q.3 ______ is the factor of every number. Q.4 ______ is the regular quadrilateral. Q.5 23 – (– 12) = ______. SECTION – B (Attempt All) Q.6 Write in Roman numerals. (a) 40 (b) 90 (c) 73 Q.7 Match the following. (i) 325× 125= 325 × (100+20+5) (a) Commutativity under multiplication (ii) 3 × 4 × 5 = 3 × 5 × 4 (b) Commutativity under addition (iii) 10+20+30 = 10 +30 +20 (c) Distributivity of multiplication over addition Q.8 Find the prime factorization of 980. Q.9 Identify three triangles in the given figure. B A D C Q.10 A square pyramid has a square as its base . Write the number of its (a) Faces ______ (b) Edges______ (c) Corners______ (2/3) SECTION – C ( Attempt any 10 ) Q.11 Estimate each number by rounding off to the nearest given place value and then solve. (a) 439 + 333 + 4517 (nearest tens) (b) 111567 – 47499 (nearest hundreds) Q.12 Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together ? In which week was the sale greater and by how much ? Q.13 Find using suitable rearrangement (a) 837 + 208 + 363 (b) 8 × 291 × 125 Q.14 Write all numbers less than 100 which are common multiples of 3 and 4. Q.15 Two containers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the containers when used an exact number of times. Q.16 Determine the smallest 3 digit number which is exactly divisible by 6, 8 and 12. Q.17 Draw a circle and mark its centre , radius , diameter , chord and sector. Q.18 Use the figure to name (a) Line containing point E (b) Line passing through point A (c) Line on which O lies. (d) Two pair of intersecting lines. Q.19 What fraction of a clockwise revolution does the hour hand of a clock turn through when it goes from (a) 3 to 9 (b) 7 to 10 (c) 1 to 7 (d) 3 to 6 (e) 12 to 9 Q.20 Write true or false. (a) All the sides of a parallelogram are of equal length. (b) If m?A= 35° and m?B = 53° then m?A < m?B. (c) The lines of railway track is an example of perpendicular lines. (d) The diagonals of a square are perpendicular to each other. (e) A triangular pyramid is also known as tetrahedron. Q.21 Use number line and add the following integers. (a) 9 + (– 7) (b) (– 5) + (– 4) Q.22 Solve the following without using number line. (a) 30 + (–8) – (–10) (b) (–13) + 32 – 8 – 1 Page 3 (1/3) MATHEMATICS Class VI Date – 20.9.2016 General Instructions: • The question paper is divided into four sections. • Section A comprises 5 questions of 1 mark each. Attempt all questions. • Section B comprises 5 questions of 3 marks each. Attempt all questions. • Section C comprises 12 questions of 5 marks each. Attempt any 10 questions. • Section D comprises 8 questions of 6 marks each. Attempt any 5 questions. • Draw neat diagrams wherever needed. • For the questions in sections B, C and D, show the calculations in fair. SECTION – A (Attempt All) Q.1 One crore = ______ ten lakhs. Q.2 ______ is the identity element for addition of whole numbers. Q.3 ______ is the factor of every number. Q.4 ______ is the regular quadrilateral. Q.5 23 – (– 12) = ______. SECTION – B (Attempt All) Q.6 Write in Roman numerals. (a) 40 (b) 90 (c) 73 Q.7 Match the following. (i) 325× 125= 325 × (100+20+5) (a) Commutativity under multiplication (ii) 3 × 4 × 5 = 3 × 5 × 4 (b) Commutativity under addition (iii) 10+20+30 = 10 +30 +20 (c) Distributivity of multiplication over addition Q.8 Find the prime factorization of 980. Q.9 Identify three triangles in the given figure. B A D C Q.10 A square pyramid has a square as its base . Write the number of its (a) Faces ______ (b) Edges______ (c) Corners______ (2/3) SECTION – C ( Attempt any 10 ) Q.11 Estimate each number by rounding off to the nearest given place value and then solve. (a) 439 + 333 + 4517 (nearest tens) (b) 111567 – 47499 (nearest hundreds) Q.12 Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together ? In which week was the sale greater and by how much ? Q.13 Find using suitable rearrangement (a) 837 + 208 + 363 (b) 8 × 291 × 125 Q.14 Write all numbers less than 100 which are common multiples of 3 and 4. Q.15 Two containers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the containers when used an exact number of times. Q.16 Determine the smallest 3 digit number which is exactly divisible by 6, 8 and 12. Q.17 Draw a circle and mark its centre , radius , diameter , chord and sector. Q.18 Use the figure to name (a) Line containing point E (b) Line passing through point A (c) Line on which O lies. (d) Two pair of intersecting lines. Q.19 What fraction of a clockwise revolution does the hour hand of a clock turn through when it goes from (a) 3 to 9 (b) 7 to 10 (c) 1 to 7 (d) 3 to 6 (e) 12 to 9 Q.20 Write true or false. (a) All the sides of a parallelogram are of equal length. (b) If m?A= 35° and m?B = 53° then m?A < m?B. (c) The lines of railway track is an example of perpendicular lines. (d) The diagonals of a square are perpendicular to each other. (e) A triangular pyramid is also known as tetrahedron. Q.21 Use number line and add the following integers. (a) 9 + (– 7) (b) (– 5) + (– 4) Q.22 Solve the following without using number line. (a) 30 + (–8) – (–10) (b) (–13) + 32 – 8 – 1 (3/3) SECTION – D (Attempt any 5 ) Q.23 Duke had Rs 5000 in his pocket. He bought shoes costing Rs.2400, a shaving kit worth Rs. 750 , a belt worth Rs. 560. He donated Rs. 350 for flood victims of Uttarakhand. How much amount is left with him? What values does Duke depict ? Q.24 Find using distributive property (a) 5652 × 1001 (b) 375 × 35 Q.25 Three boys step off together from the same spot. Their steps measure 63cm, 70cm and 77cm respectively. What is the minimum distance that each should cover so that all can cover the distance in complete steps? Q.26 Check using divisibility tests (a) 14560 is divisible by 4 or not (b) 61809 is divisible by 11 or not Q.27 Draw a rough sketch of a quadrilateral PQRS. State (a) Two pairs of opposite sides (b) Two pairs of adjacent angles (c) Two pairs of opposite angles Q.28 Match the following: (a) 3 sides of equal length (i) Scalene triangle (b) 2 sides of equal length (ii) Acute angled triangle (c) All sides are of different length (iii) Equilateral triangle (d) 3 acute angles (iv) Obtuse angled triangle (e) 1 right angle (v) Isosceles triangle (f) 1 obtuse angle (vi) Right angled triangle Q.29 Give reasons for the following: (a) Squares, rectangles, parallelograms are all quadrilaterals. (b) A rectangle can be thought of as a special parallelogram. Q.30 Following is the list of temperature of four places in India on a particular day of the year. Place Temperature Siachin Shimla Ahmedabad Delhi 10°C below 0°C 2°C below 0°C 20°C above 0°C 30°C above 0°C (a) Write the temperature of these places in the form of integers. (b) Which is the coolest place ? (c) Write the names of places where temperature is above 5°C.Read More
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