Write the empirical Reln among mean, median and mode. Cbse Class 10 Sample Paper 2020 Q-1 to 16 Soln
01. Express 156 as the product of primes.
2. Write a quadratic polynomial, sum of whose zeroes is 2 and product is -8.
3. Given that HCF (96,404) is 4, find the LCM ( 96,404).
OR
State the fundamental Theorem of Arithmetic
.
4 On comparing the ratios of the coefficients, find out whether the pair of
equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent.
5 If a and b are co-prime numbers, then find the HCF (a, b).
6
Find the area of a sector of a circle with radius 6cm if angle of the sector is
60°. (Take 𝜋 = 22/7)
OR
A horse tied to a pole with 28m long rope. Find the perimeter of the field where
the horse can graze. (Take 𝜋 = 22/7)
7 In the given fig. DE || BC, ∟ADE =70° and ∟BAC=50°, then angle
∟BCA = ______
In the given figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm and AC = 7 cm. Is DE
parallel to BC ?
The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280.
Find the radius of the field.
9 A tree breaks due to storm and the broken part bends so that the top of the
tree touches the ground where it makes an angle 30° . The distance between
the foot of the tree to the point where the top touches the ground is 8m. Find
the height of the tree from where it is broken.
10 If the perimeter and the area of a circle are numerically equal, then find the
radius of the circle
11 Write the empirical relationship among mean, median and mode.
12 To divide a line segment BC internally in the ratio 3 : 5, we draw a ray BX
such that ∠CBX is an acute angle. What will be the minimum number of points
to be located at equal distances, on ray BX?
13 For what values of p does the pair of equations 4x + p y +8 =0 and 2x +2y +2
=0 has unique solution?
OR
What type of straight lines will be represented by the system of equations 2x +
3y =5 and 4x + 6y = 7 ?
14 A bag contains 3 red balls and 5 black balls. A ball is drawn at random from
the bag. What is the probability that the ball drawn is red?
OR
A die is thrown once. What is the probability of getting a prime number?
15 A tower stands vertically on the ground. From a point on the ground, which is
15m away from the foot of the tower, the angle of elevation of the top of the
tower is found to be 60°.Find the height of the tower.
16 Probability of an event E + Probability of the event E̅ ( not E) is,_______