Class 10 cbse science important questions, Exams of Chemistry

Download Class 10 cbse science important questions and more Exams Chemistry in PDF only on Docsity! CBSE Mathematics Class 10 Sample Paper 14 Page 1 Click View Solution Button View Solution to See Solution Sample Paper 14 Class- X Exam - 2022-23 Mathematics - Standard Time Allowed: 3 Hours Maximum Marks : 80 General Instructions : 1. This Question Paper has 5 Sections A-E. 2. Section A has 20 MCQs carrying 1 mark each 3. Section B has 5 questions carrying 02 marks each. 4. Section C has 6 questions carrying 03 marks each. 5. Section D has 4 questions carrying 05 marks each. 6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts. 7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions of 2 marks has been provided. 8. Draw neat figures wherever required. Take 7 22π = wherever required if not stated. Section - A
Section A consists of 20 questions of 1 mark each. 1. The zeroes of the quadratic polynomial x x99 1272+ + are (a) both positive (b) both negative (c) one positive and one negative (d) both equal 2. If x a= and y b= is the solution of the equations x y 2− = and x y 4+ = , then the values of a and b are, respectively (a) and3 5 (b) and5 3 (c) and3 1 (d) and1 3- - 3. The quadratic equation x x5 3 1 02− + = has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots 4. If α and β are the zeroes of the polynomial x x2 13 62− + , then α β+ is equal to (a) 3- (b) 3 (c) 2 13 (d) 2 13- 5. Assertion : If sum of the first n terms of an AP is given by .S n n3 4n 2= − Then its nth term is a n6 7n = − . Reason : nth term of an AP, whose sum to n terms is Sn , is given by a S Sn n n 1= − − (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. View Solution View Solution View Solution View Solution View Solution Page 2 Sample Paper 14 CBSE Mathematics Class 10 Click View Solution Button View Solution to See Solution 6. The area of a right angled triangle is 40 sq cm and its perimeter is 40 cm. The length of its hypotenuse is (a) 16 cm (b) 18 cm (c) 17 cm (d) data insufficient 7. In the figure, PQ is parallel to .MN If PM KP 13 4= and .KN 20 4= cm then find .KQ (a) 4.8 cm (b) 4.6 cm (c) 4.4 cm (d) 4.2 cm 8. In the given figure, a circle touches all the four sides of quadrilateral ABCD with cmAB 6= , cmBC 7= and cmCD 4= , then length of AD is (a) 3 cm (b) 4 cm (c) 5 cm (d) 6 cm 9. In figure, if AOB 125+ = c, then COD+ is equal to (a) .62 5c (b) 45c (c) 35c (d) 55c View Solution View Solution View Solution View Solution CBSE Mathematics Class 10 Sample Paper 14 Page 5 Click View Solution Button View Solution to See Solution 25. The fifth term of an AP is 20 and the sum of its seventh and eleventh terms is 64. Find the common difference.
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For AP show that .a a a2p p q p q2+ =+ + Section - C
Section C consists of 6 questions of 3 marks each. 26. Solve for x and y : x y 2 3 2+ 1=− x y 3- 3= 27. Solve for x : ; , ,x x x x x1 2 1 2 3 1 3 2 1 2 3!− − + − − = ^ ^ ^ ^h h h h 28. In given figure, two circles touch each other at the point C . Prove that the common tangent to the circles at C , bisects the common tangent at P and Q .
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In the given figure, PA and PB are tangents to a circle from an external point P such that PA 4 cm= and BAC+ º135= . Find the length of chord AB . 29. A 7 m long flagstaff is fixed on the top of a tower standing on the horizontal plane. From point on the ground, the angles of elevation of the top and bottom of the flagstaff are 60º and 45º respectively. Find the height of the tower correct to one place of decimal. (Use 3 = 1.73) View Solution View Solution View Solution View Solution View Solution Page 6 Sample Paper 14 CBSE Mathematics Class 10 Click View Solution Button View Solution to See Solution 30. Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/hour. How much area will it irrigate in 30 minutes; if 8 cm standing water is needed?
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The radii of two right circular cylinders are in the ratio of 2 3| and their height are in the ratio of 5 4| . Calculate the ratio of their curved surface area and radio of their volumes. 31. A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6. Section - D
Section D consists of 4 questions of 5 marks each. 32. If α and β are zeroes of the polynomial ( )p x x x k6 52= − + such that ,6 1α β− = Find the value of .k
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Polynomial x x x px q7 74 3 2+ + + + is exactly divisible by x x7 122+ + , then find the value of p and q . 33. Prove that in a right triangle, the square of the hypotenuse is equal to sum of squares of other two sides.
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Prove that in a right triangle, the square of the hypotenuse is equal to sum of squares of other two sides. Using the above result, prove that, in rhombus ,ABCD .AB AC BD4 2 2 2= + 34. Given that ,tan tan tan tan tanA B A B A B 1 + = − + ^ h find the values of tan75º and tan90º by taking suitable values of A and .B
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Prove that : cot tan tan cot 1 1θ θ θ θ − + − .tan cot1 θ θ= + + 35. In fig., two circular flower beds have been shown on two sides of a square lawn ABCD of side 56 m. If the centre of each circular flower bed is the point of intersection O of the diagonals of the square lawn, find the sum of the areas of the lawn and flower beds.
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Case study based questions are compulsory. 36. Traffic Management : A traffic enforcement camera is a camera which may be mounted beside or over a road or installed in an enforcement vehicle to detect motoring offenses, including speeding, vehicles going through a red traffic light. A worldwide review of studies found that speed cameras led to a reduction of 11% to 44% for fatal and serious injury crashes. The British Medical Journal recently reported that speed cameras were effective at reducing accidents and injuries in their vicinity and recommended wider deployment. In order to monitor reckless driving on Mumbai road, special cameras have been installed at many traffic light. The following table shows a frequency distribution table for the speed of 100 vehicles passing through a particular spot on a day. Speed (in km/h) 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 Number of Vehicles 1 3 7 16 35 29 7 2 Based on the above information, answer the following questions. (i) Find the number of vehicles whose speed is more than 70 km/h and find the number of vehicles whose speed is less than 50 km/h ? (ii) What is the mode value of speed ? (iii) What is the median value of speed ?
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(iv) Find the mean value of speed using empirical relation.
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