Question 2 :
State true or false - in the expanded form, 2806196 = 2 × $10^6$ + 8 × $10^5$+ 0 × $10^4$ + 6 × $10^3$ + 1 × $10^2$ + 9 × $10^1$+ 6 × $10^0$

Question 4 :
Simplify and write the answer in the exponential form: $8^2$ ÷ $2^3$

Question 5 :
Expand by expressing powers of 10 in the exponential form: 5643

Question 6 :
Simplify and write the answer in the exponential form: $\frac{3^7}{3^2}$ × $3^5$

Question 8 :
Express the following in exponential form: b × b × b × b

Question 9 :
Write exponential form for 8 × 8 × 8 × 8 taking base as 2.

Question 11 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $5^6\times(-2)^6$

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefea.PNG' /> In the given figure, Which is larger? Perimeter of the smaller square or the circumference of the circle? Tell from figure above.

Question 18 :
How many times a wheel of radius 28 cm must rotate to go 352 m? (Use π = $ \frac{22}{7}$)

Question 19 :
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.

Question 20 :
What is the circumference of circle with radius 6 units ?

Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff8.PNG' /> In the given figure, Find the area of the parallelogram .

Question 24 :
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?(Take π = 3.14)

Question 25 :
Find the area of the circle with the radius 14 mm. (Use π = $ \frac{22}{7}$)

Question 26 :
Find the base of parallelogram when its height and area are 15cm and $154.5 cm^{2}$ respectively.

Question 27 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is30 cm, find its length. Also find the area of the rectangle.

Question 28 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac9f59b460d7261eb6b.png' /> In above image, find the area of triangle.

Question 29 :
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (i)the area of the verandah. (ii)the cost of cementing the floor of the verandah at the rate of Rs.200 per $m^{2}$.

Question 30 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff2.PNG' /> In the given figure, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find: (a)the area of the parallelogram PQRS (b)QN, if PS = 8 cm.