Question 4 :
Express the result in power notation with positive exponent. $2^{– 3} × (–7)^{– 3}$

Question 7 :
Simplify and write the answer in the exponential form.$(– 4)^{– 3} × (5)^{– 3} × (–5)^{– 3}$

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd2f59b460d7261edf3.PNG' /> From the above figure, supply the missing information for diagram.

Question 10 :
Find the value of $(2^{– 1} × 4^{– 1}) ÷ 2^{– 2}$

Question 15 :
The diameter of the Sun is $1.4 × 10^9$ m and the diameter of the Earth is $1.2756 × 10^7$ m. What is the comparison between their diameters by division?

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee1f59b460d7261f0c6.jpg' /> In the above image, find the height.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef8f59b460d7261f0e6.png' /> In the above image, a company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure above). If the label is placed 2 cm from top and bottom, what is the area of the label ?

Question 18 :
What is the height of a cuboid whose base area is $180 cm^2$ and volume is$ 900 cm^3$ ?

Question 19 :
Diameter of cylinder A is 7 cm and its height is 14 cm. Diameter of cylinder B is 14 cm and its height is 7 m. Is the cylinder with greater volume also has greater surface area?

Question 20 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced4f59b460d7261f0b3.png' /> In the above image, the area of the trapezium shown above is ?

Question 21 :
There are two cuboidal boxes as shown .Which box requires the lesser amount of material to make?

Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec8f59b460d7261f0a1.jpg' /> In the above image, area of the figure is ?

Question 23 :
The internal measures of a cuboidal room are 12 m $\times$ 8 m $\times$ 4 m.The cost of white washing is Rs 5 per $m^2$. What will be the cost of white washing if the ceiling of the room is also whitewashed ?

Question 24 :
A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?

Question 25 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced4f59b460d7261f0b4.png' /> In the above image, the area of quadrilateral PQRS is ?

Question 26 :
A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. What is the quantity of milk in litres that can be stored in the tank?

Question 27 :
Given a cylindrical tank, to find how much it can hold, will you find surface area or volume.

Question 28 :
An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression c = $2 \pi r$, here r is the radius of the circle.

Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceedf59b460d7261f0d6.png' /> In the above image, a rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. What is the volume of the cylinder?(Take $\frac{22}{7}$ for $\pi$)

Question 30 :
Find the length of other diagonal whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long.