Page 1 8UHO3QW Summative Assessment –I (2016-17) Class – 09 Mathematics Time: 3 hr. Max. Marks: 90 General Instructions: (i) All questions are compulsory. (ii) There are 31 questions in total divided into 4 sections A, B, C and D. Section – A comprises of 4 questions of 1 mark each. Section – B comprises of 6 questions of 2 marks each. Section – C comprises of 10 questions of 3 marks each. Section – D comprises of 11 questions of 4 marks each. (iii) There is no overall choice in this question paper. (iv) Use of calculators is not permitted. Section – A Question number 1 to 4 carry one mark each. 1. find the value of 3 2 64 25 - ? ? ? ? ? ? . 2. Factorise : 2 16 x - . 3. If line l and m are parallel and lines m and n are also parallel, then what can you say about the lines l and n?. 4. Find the area of a rhombus whose diagonals are 10 cm and 14 cm. Section – B Question number 5 to 10 carry two mark each. 5. Express 4 7 in decimal form and state the kind of decimal expansion. 6. Using Remainder theorem, check whether the polynomial 3 2 2 — 2 — 6 6 x ax x a + is a multiple of x— a. 7. FState any two Euclid's postulates. 2 8. In the figure, line n intersects two parallel lines I and m such that 0 2 120 . ? = Find the values of all the exterior angles. Page 2 8UHO3QW Summative Assessment –I (2016-17) Class – 09 Mathematics Time: 3 hr. Max. Marks: 90 General Instructions: (i) All questions are compulsory. (ii) There are 31 questions in total divided into 4 sections A, B, C and D. Section – A comprises of 4 questions of 1 mark each. Section – B comprises of 6 questions of 2 marks each. Section – C comprises of 10 questions of 3 marks each. Section – D comprises of 11 questions of 4 marks each. (iii) There is no overall choice in this question paper. (iv) Use of calculators is not permitted. Section – A Question number 1 to 4 carry one mark each. 1. find the value of 3 2 64 25 - ? ? ? ? ? ? . 2. Factorise : 2 16 x - . 3. If line l and m are parallel and lines m and n are also parallel, then what can you say about the lines l and n?. 4. Find the area of a rhombus whose diagonals are 10 cm and 14 cm. Section – B Question number 5 to 10 carry two mark each. 5. Express 4 7 in decimal form and state the kind of decimal expansion. 6. Using Remainder theorem, check whether the polynomial 3 2 2 — 2 — 6 6 x ax x a + is a multiple of x— a. 7. FState any two Euclid's postulates. 2 8. In the figure, line n intersects two parallel lines I and m such that 0 2 120 . ? = Find the values of all the exterior angles. 9. Plot reflection of A(3, —6) in x - axis as point B and then plot the reflection of B in y - axis. 10 An advertisement board is of the form of an equilateral triangle of perimeter 240 cm. Find the 2 area of the board using Heron's formula ( ) . 3 1.73 Use = SECTION-C Question numbers 11 to 20 carry three marks each. 11. Represent on the number line. 12. Find the values of a and b, if 3 2 2. 3 2 a b + = + - 13. Evaluate 3 92 , using a suitable identity. 14. If ( ) 2 3 3 4 f x x x - + - , find ( ) ( ) ( ) 2 — 2 . f f f O + + 15. In the given figure, PO -L AB. If x : y : z=l : 3 : 5, then find the measures of x, y and z, 16. In the figure, if ABIICD, EFLCD and ZGED = 126 0 , find ZAGE, ZGEF and ZFGE. Page 3 8UHO3QW Summative Assessment –I (2016-17) Class – 09 Mathematics Time: 3 hr. Max. Marks: 90 General Instructions: (i) All questions are compulsory. (ii) There are 31 questions in total divided into 4 sections A, B, C and D. Section – A comprises of 4 questions of 1 mark each. Section – B comprises of 6 questions of 2 marks each. Section – C comprises of 10 questions of 3 marks each. Section – D comprises of 11 questions of 4 marks each. (iii) There is no overall choice in this question paper. (iv) Use of calculators is not permitted. Section – A Question number 1 to 4 carry one mark each. 1. find the value of 3 2 64 25 - ? ? ? ? ? ? . 2. Factorise : 2 16 x - . 3. If line l and m are parallel and lines m and n are also parallel, then what can you say about the lines l and n?. 4. Find the area of a rhombus whose diagonals are 10 cm and 14 cm. Section – B Question number 5 to 10 carry two mark each. 5. Express 4 7 in decimal form and state the kind of decimal expansion. 6. Using Remainder theorem, check whether the polynomial 3 2 2 — 2 — 6 6 x ax x a + is a multiple of x— a. 7. FState any two Euclid's postulates. 2 8. In the figure, line n intersects two parallel lines I and m such that 0 2 120 . ? = Find the values of all the exterior angles. 9. Plot reflection of A(3, —6) in x - axis as point B and then plot the reflection of B in y - axis. 10 An advertisement board is of the form of an equilateral triangle of perimeter 240 cm. Find the 2 area of the board using Heron's formula ( ) . 3 1.73 Use = SECTION-C Question numbers 11 to 20 carry three marks each. 11. Represent on the number line. 12. Find the values of a and b, if 3 2 2. 3 2 a b + = + - 13. Evaluate 3 92 , using a suitable identity. 14. If ( ) 2 3 3 4 f x x x - + - , find ( ) ( ) ( ) 2 — 2 . f f f O + + 15. In the given figure, PO -L AB. If x : y : z=l : 3 : 5, then find the measures of x, y and z, 16. In the figure, if ABIICD, EFLCD and ZGED = 126 0 , find ZAGE, ZGEF and ZFGE. 17. In the figure, ABC is an isosceles triangle in which AB = AC and LM is parallel to BC. If ZA = 50 0 , find . LMC ? 18. In an isosceles triangle LMN, LM = LN and MP and NQ are two medians. Show that MP=NQ. 19. Plot the points (x, Y) given in the following table on the cartesian plane, choosing suitable units of distances on the axes: X 2 4 -4 -2 6 0 y 5 -3 3 5 -1 2.5 20. The sides of a quadrilateral taken in order are 9 m, 40 m, 15 m and 28 m. If the angle between first two sides is a right angle, find its area. SECTION-D Question numbers 21 to 31 carry four marks each. 21. If 3 8 x = + , find the value of 2 2 1 x x + . 22. Simplify : 3 3 3 4 2 81 25 5 16 4 2 - - - ? ? ? ? ? ? ? ? ? ? × ÷ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 23. Find the value of 'a' if when 3 2 3 9 - ax x + and 3 2 5 x x a + - are divided by x +2 leave the same remainder. 24. Divide the polynomial 4 3 3 4 3 1 x x x + + + by x — 1 and find quotient and remainder. 25. Factorise : 2 4 6 x x x - + + 26. It is given that 3a + 2b = 5c, then find the value of 3 3 3 27 8 125 a b c - + if abc = 0. 27. Teacher held two sticks AB and CD of equal length in her hands and marked their mid-points M and N respectively. She then asked the students whether AM is equal to ND or not. Arpita answered yes. Is Arpita correct ? State Euclid's axiom that support her answer. Which characteristics of Arpita you want to inculcate in your nature? Page 4 8UHO3QW Summative Assessment –I (2016-17) Class – 09 Mathematics Time: 3 hr. Max. Marks: 90 General Instructions: (i) All questions are compulsory. (ii) There are 31 questions in total divided into 4 sections A, B, C and D. Section – A comprises of 4 questions of 1 mark each. Section – B comprises of 6 questions of 2 marks each. Section – C comprises of 10 questions of 3 marks each. Section – D comprises of 11 questions of 4 marks each. (iii) There is no overall choice in this question paper. (iv) Use of calculators is not permitted. Section – A Question number 1 to 4 carry one mark each. 1. find the value of 3 2 64 25 - ? ? ? ? ? ? . 2. Factorise : 2 16 x - . 3. If line l and m are parallel and lines m and n are also parallel, then what can you say about the lines l and n?. 4. Find the area of a rhombus whose diagonals are 10 cm and 14 cm. Section – B Question number 5 to 10 carry two mark each. 5. Express 4 7 in decimal form and state the kind of decimal expansion. 6. Using Remainder theorem, check whether the polynomial 3 2 2 — 2 — 6 6 x ax x a + is a multiple of x— a. 7. FState any two Euclid's postulates. 2 8. In the figure, line n intersects two parallel lines I and m such that 0 2 120 . ? = Find the values of all the exterior angles. 9. Plot reflection of A(3, —6) in x - axis as point B and then plot the reflection of B in y - axis. 10 An advertisement board is of the form of an equilateral triangle of perimeter 240 cm. Find the 2 area of the board using Heron's formula ( ) . 3 1.73 Use = SECTION-C Question numbers 11 to 20 carry three marks each. 11. Represent on the number line. 12. Find the values of a and b, if 3 2 2. 3 2 a b + = + - 13. Evaluate 3 92 , using a suitable identity. 14. If ( ) 2 3 3 4 f x x x - + - , find ( ) ( ) ( ) 2 — 2 . f f f O + + 15. In the given figure, PO -L AB. If x : y : z=l : 3 : 5, then find the measures of x, y and z, 16. In the figure, if ABIICD, EFLCD and ZGED = 126 0 , find ZAGE, ZGEF and ZFGE. 17. In the figure, ABC is an isosceles triangle in which AB = AC and LM is parallel to BC. If ZA = 50 0 , find . LMC ? 18. In an isosceles triangle LMN, LM = LN and MP and NQ are two medians. Show that MP=NQ. 19. Plot the points (x, Y) given in the following table on the cartesian plane, choosing suitable units of distances on the axes: X 2 4 -4 -2 6 0 y 5 -3 3 5 -1 2.5 20. The sides of a quadrilateral taken in order are 9 m, 40 m, 15 m and 28 m. If the angle between first two sides is a right angle, find its area. SECTION-D Question numbers 21 to 31 carry four marks each. 21. If 3 8 x = + , find the value of 2 2 1 x x + . 22. Simplify : 3 3 3 4 2 81 25 5 16 4 2 - - - ? ? ? ? ? ? ? ? ? ? × ÷ ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 23. Find the value of 'a' if when 3 2 3 9 - ax x + and 3 2 5 x x a + - are divided by x +2 leave the same remainder. 24. Divide the polynomial 4 3 3 4 3 1 x x x + + + by x — 1 and find quotient and remainder. 25. Factorise : 2 4 6 x x x - + + 26. It is given that 3a + 2b = 5c, then find the value of 3 3 3 27 8 125 a b c - + if abc = 0. 27. Teacher held two sticks AB and CD of equal length in her hands and marked their mid-points M and N respectively. She then asked the students whether AM is equal to ND or not. Arpita answered yes. Is Arpita correct ? State Euclid's axiom that support her answer. Which characteristics of Arpita you want to inculcate in your nature? 28. In the given figure, AB =CD, P and Q are points on AB and CD such that 1 3 AP = and 1 . 3 CQ CD = Show that AP =CQ. State which Euclid axiom you use here. Also give two more Euclid axioms other than the axiom used in the above situation. 29. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. 30. Prove that the sum of three angles of a triangle is two right angles. If in a right angled triangle an acute angle is one-fourth the other, find the acute angles. 31. In the figure, OA = OD And 1 2 ? = ? . Prove that OCB ? is an isosceles triangle.Read More

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