Question 1 :
Three angles of a quadrilateral ABCD are equal. Is it a parallelogram?

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d216f59b460d7261f53a.PNG' /> In ∆ ABC and ∆ DEF in the above fig, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively. Quadrilateral ACFD is a ______________

Question 3 :
ABCD is a rhombus such that $\angle ACB = 40^{\circ}$. Then $\angle ADB$ is

Question 4 :
ABCD is a parallelogram. If its diagonals are equal, then find the value of $\angle ABC$.

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d208f59b460d7261f524.PNG' /> In the above fig, ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB . Is ∠ DAC = ∠ BCA ?

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d219f59b460d7261f53d.PNG' /> In ∆ ABC and ∆ DEF in the above fig, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively. Is ∆ ABC ≅ ∆ DEF ?

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e9f59b460d7261f4f8.JPG' /> Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city having no accidents in one year.

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e4f59b460d7261f4f1.JPG' /> Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 6.

Question 9 :
<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 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1f7f59b460d7261f50c.JPG' /> From the above image, find the probability that a student obtained less than 20% in the mathematics test.

Question 11 :
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.

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ecf59b460d7261f4fd.JPG' /> Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city being 30-50 years of age and having one or more accidents in a year.

Question 13 :
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per $m^2$ .

Question 14 :
Find the surface area of a sphere of diameter 3.5 m.

Question 15 :
Find the surface area of a sphere of diameter 21 cm.

Question 16 :
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much?

Question 17 :
If the triangle ABC with sides 5 cm,12 cm and 13 cm is revolved about the side 5 cm, then find the volume of the solid so obtained.

Question 18 :
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students

Question 19 :
State true or false: Curved surface area of hemisphere is $2\pi r^{2}$.

Question 20 :
Find the curved surface area of a hemisphere of radius 21 cm.