Question 3 :
Express the result in power notation with positive exponent. $(3^{– 7}÷3^{– 10}) × 3^{– 5}$

Question 6 :
Express the result in power notation with positive exponent. $2^{– 3} × (–7)^{– 3}$

Question 7 :
Express the result in power notation with positive exponent.$(-4)^5 ÷ (-4)^8$

Question 8 :
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?

Question 9 :
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. Find the population in 2001.

Question 10 :
In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours. The distribution of parents according to the time for which, they said they helped is given ; $20\%$ helped for more than$1\frac{1}{2}$ hours per day; $30\%$ helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours; $50\%$ did not help at all. How many said that they did not help?

Question 11 :
In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours. The distribution of parents according to the time for which, they said they helped is given ; $20\%$ helped for more than$1\frac{1}{2}$ hours per day; $30\%$ helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours; $50\%$ did not help at all. How many said that they helped for more than $1\frac{1}{2}$ hours?

Question 12 :
Find the amount which Ram will get on Rs 4096, if he gave it for 18 months at $12\frac{1}{2}\%$ per annum, interest being compounded half yearly.

Question 13 :
What is the result of the following divisions? $(3x^4 – 1875) ÷ (3x^2 – 75)$

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf064.PNG' /> In the above figure, the length and breadth of the rectangle has been changed from $l$ and $b$ to $l+5$ and $b-3$ respectively. What is the expression for the area of the new rectangle ?

Question 19 :
Use a suitable identity to get the product : $(2y + 5) (2y + 5)$

Question 20 :
Is it TRUE or FALSE, substituting x = -3 in $x^2+5x+4x$ gives $(-3)^2+5(-3)+4 = 9+2+4=15$ ?

Question 27 :
Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^3$ , How many hours it will take to fill the reservoir?

Question 28 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cebff59b460d7261f094.jpg' /> In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. How much land is occupied by the park?

Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced9f59b460d7261f0ba.png' /> In the above image, the area of this quadrilateral is ?

Question 30 :
Given a cylindrical tank, to find number of cement bags required to plaster it, will you find surface area or volume.

Question 31 :
Given a cylindrical tank, to find the number of smaller tanks that can be filled with water from it, will you find surface area or volume.

Question 32 :
A godown is in the form of a cuboid of measures 60 m $\times$ 40 m $\times$ 30 m. How many cuboidal boxes can be stored in it if the volume of one box is $0.8 m^3$ ?

Question 33 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecdf59b460d7261f0a9.png' /> In the above image, perimeter of the figure is ?