Скачать или смотреть CBSE Official Maths Sample Paper Solutions Oswaal Class 10 Maths CBSE Sample Paper Solutions

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Given below is the picture of the Olympic rings made by taking five congruent circles of radius 1cm each, intersecting in such a way that the chord formed by joining the point of intersection of two circles is also of length 1cm. Total area of all the dotted regions (assuming the thickness of the rings to be negligible) is
A horse, a cow and a goat are tied, each by ropes of length 14m, at the corners A, B and C respectively, of a grassy triangular field ABC with sides of lengths 35m, 40m and 50 m. Find the area of grass field that can be grazed by them.
In Figure, 𝑿𝒀 𝒂𝒏𝒅 𝑿′𝒀′ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting 𝑿𝒀 𝒂𝒕 𝑨 𝒂𝒏𝒅 𝑿′𝒀′ at B. Prove that ∠𝑨𝑶𝑩=𝟗𝟎°
In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject.
If 𝒔𝒊𝒏𝜽+𝒄𝒐𝒔𝜽=√𝟑, then prove that 𝒕𝒂𝒏𝜽+𝒄𝒐𝒕𝜽=𝟏
On a particular day, Vidhi and Unnati couldn't decide on who would get to drive the car. They had one coin each and flipped their coin exactly three times. The following was agreed upon:
1. If Vidhi gets two heads in a row, she would drive the car
2. If Unnati gets a head immediately followed by a tail, she would drive the car.
Who has greater probability to drive the car that day? Justify your answer.
The monthly income of Aryan and Babban are in the ratio 𝟑 :𝟒 and their monthly expenditures are in ratio 𝟓 :𝟕. If each saves ₹15,000 per month, find their monthly incomes.
Solve the following system of equations graphically:
𝟐𝒙+𝒚=𝟔, 𝟐𝒙−𝒚−𝟐=𝟎 . Find the area of the triangle so formed by two lines and 𝒙−𝒂𝒙𝒊𝒔.
A train travels at a certain average speed for a distance of 63km and then travels at a distance of 72km at an average speed of 6km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?
Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
Hence in ∆𝑷𝑸𝑹, prove that a line intersects the sides PQ and PR of a ∆𝑷𝑸𝑹 at L and M respectively such that 𝑳𝑴∥𝑸𝑹. If 𝑷𝑳 = 𝟓.𝟕𝒄𝒎 𝑷𝑸 = 𝟏𝟓.𝟐𝒄𝒎 𝒂𝒏𝒅 𝑴𝑹 = 𝟓.𝟓𝒄𝒎 then find the length of PM (in cm).
From a solid right circular cone, whose height is 6cm and radius of base is 12cm, a right circular cylindrical cavity of height 3cm and radius 4cm is hollowed out such that bases of cone and cylinder form concentric circles. Find the surface area of the remaining solid in terms of 𝝅.
An empty cone of radius 3cm and height 12cm is filled with ice-cream such that the lower part of the cone which is (𝟏/𝟔)th of the volume of the cone is unfilled (empty) but a hemisphere is formed on the top. Find the volume of the ice-cream.
If the mode of the following distribution is 55, then find the value of x. Hence, find the mean.
A survey regarding heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained:

Find the median height of girls. If mode of the above distribution is 148.05, find the mean using empirical formula.
In a class, the teacher asks every student to write an example of A.P. Two boys Aryan and Roshan writes the progression as
−𝟓, −𝟐,𝟏,𝟒,… and 𝟏𝟖𝟕, 𝟏𝟖𝟒, 𝟏𝟖𝟏, …. respectively.
Now the teacher asks his various students the following questions on progression.
Help the students to find answers for the following:
i. Find the sum of the common difference of two progressions.
ii. Find the 34th term of progression written by Roshan.
(A) Find the sum of first 10 terms of the progression written by Aryan.
OR
(B) Which term of the progressions will have the same value?
A group of class X students goes to picnic during winter holidays. The position of three friends Aman, Kirti and Chahat are shown by the points P, Q and R
(i) Find the distance between P and R.
(ii) Is Q, the midpoint of PR? Justify by finding midpoint of PR.
(iii) (A) Find the point on x-axis which is equidistant from P and Q.
OR
(B) Let S be a point which divides the line joining PQ in ratio 𝟐 :𝟑. Find the coordinates of S.
India gate (formerly known as All India war memorial) is located near Karthavya path. (formerly Rajpath) at New Delhi. It stands as a memorial to 74187 soldiers of Indian Army, who gave their life in the first world war. This 42m tall structure was designed by Sir Edwin Lutyens in the style of Roman triumphal arches.
A student Shreya of height 1 m visited India Gate as a part of her study tour.