The course provides full solutions to the Class 10 Term 2 Sample Paper for Mathematics. The learning outcomes include solving quadratic equations, calculating surface areas, finding medians, working with frequency distributions, proving geometric theorems, and solving problems related to circles and triangles. The course teaches skills such as algebraic manipulation, geometry, arithmetic progression, and trigonometry. The teaching method involves step-by-step problem-solving and explanation. The intended audience is students preparing for the CBSE Class 10 Term 2 Mathematics examination.
Overview
Syllabus
Intro.
Q1A Find the roots of the quadratic equation 3x^2 - 7x - 6 = 0.
Q1B Find the values of k for which the quadratic equation 3x^2 + kx +3 = 0.
Q2 Three cubes each of volume 64 cm^3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?.
Q3 An inter house cricket match was organized by a school. Distribution of runs made by the students is given below. Find the median runs scored. .
Q4 Find the Common difference of the AP 4,9,14,... If the first term changes to 6 and the common difference remains the same then write the new AP..
Q5 The mode of the following frequency distribution is 38. Find the value of x..
Q6A XY and MN are the tangents drawn at the end points of the diameter DE of the circle with centre O. Prove that XY || MN..
Q6B In the given figure, a circle is inscribed in the quadrilateral ABCD. Given AB=6cm, BC=7cm, and CD=4cm. Find AD..
Q7 An AP 5, 8, 11... has 40 terms. Find the last term. Also find the sum of the last 10 terms..
Q8A A tree is broken due to the storm in such a way that the top of the tree touches the ground and makes an angle of 30 degrees with the ground. length of the broken upper part of the tree is 8 meters. Find the height of the tree before it was broken. .
Q8B Two poles of equal height are standing opposite each other on either side of the road 80m wide. From a point between them on the road of the angles of elevation of the top of the two poles are respectively 60 degrees and 30 degrees. Find the distance of the point from the two poles. .
Q9 PA and PB are the tangents drawn to a circle with centre O. If PA=6cm and angle APB=60 degrees, then find the length of the chord AB..
Q10 The sum of the squares of three positive numbers that are consecutive multiples of 5 is 725. Find the three numbers..
Q11A Construct two concentric circles of radii 3cm and 7cm. Draw two tangents to the smaller circle from a point P which lies on the bigger circle. .
Q11B Draw a pair of tangent to a circle of radius 6cm which are inclined to each other at an angle of 60 degrees. Also find the length of the tangent..
Q12 The following age wise chart of 300 passengers flying from Delhi to Pune is prepared by the Airline staff..
Q13 i) Which of the two, boat or the ship is nearer to the light house? Find its distance from the lighthouse and ii) Find the time taken by the boat to reach the light house if it is moving at the rate of 20km per hour..
Q13 i) What is the ratio of the surface areas of red spherical apples in Doll1 to that of spherical oranges in Doll2? ii) The blue doll of Doll 3 is melted and its clay is used to make the cylindrical drum of Doll 4. If the radius of the drum is also 3cm, find the height of the drum..
Taught by
Wrath of Math
