Question 1 :
The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is _________.

Question 3 :
Two lines are respectively perpendicular to two parallel lines. Hence, the two perpendiculars are eventually ___________ to each other.

Question 4 :
A triangle ABC is right angled at A. L is a point on BC such that AL $⊥$ BC. Are the two angles $∠$ BAL and $∠$ ACB equal?

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14ef59b460d7261f419.png' /> In the above figure, OD is the bisector of $∠$AOC, OE is the bisector of $∠$BOC and OD $⊥$ OE. Hence, the points A, O and B are ______________.

Question 11 :
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the volume of the cone (taking $\pi=\frac{22}{7}$).

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d237f59b460d7261f568.jpeg' /> In the above image, a hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs 5 per 100 $cm^2$

Question 13 :
Find the volume of a sphere whose radius is 0.63 m.

Question 14 :
State true or false: If the edge of the cube is a, then Lateral Surface area of cube = $4a^{2}$

Question 15 :
A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c7f59b460d7261f4c6.PNG' /> What is the equation of the graph in the above image?

Question 17 :
Find the value of k if x = 2, y = 1 is a solution of the equation 2x + 3y = k.

Question 18 :
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables, taking the constant force as 5 units.

Question 20 :
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body. What is the work done when the distance travelled by the body is 0 unit? Take the constant force as 5 units.

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f5f59b460d7261f509.JPG' /> Refer to the above image. An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is in the above image. Suppose a family is chosen. Find the probability that the family chosen is earning Rs16000 or more per month and owning exactly 1 vehicle.

Question 22 :
True or false. The uncertainty of ‘probably’ can be measured numerically by means of ‘probability’.

Question 23 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f6f59b460d7261f50b.JPG' /> Refer to the above image. Three coins are tossed simultaneously 200 times with the following frequencies of different outcome as shown in the above image. If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up.

Question 24 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1fdf59b460d7261f516.JPG' /> From the above image, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.

Question 25 :
Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg): 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00. Find the probability that any of these bags chosen at random contains more than 5 kg of flour.