Question 1 :
60% people in a city like cricket, 30% like football and the remaining like other games. If the total number of people are 50 lakh, find the exact number who like other games.

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf43f59b460d7261f151.JPG' /> In the above image, 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 help for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hour. The distribution of parents according to the time for which, they said they helped is given in the above figure, $20\%$ helped for more than $1\frac{1}{2}$ hour per day. $30\%$ helped for 1 hr to $1\frac{1}{2}$ hour; 50% did not help at all. How many parents were surveyed?

Question 3 :
Calculate the compound interest on Rs 18,000 for $2\frac{1}{2}$ years at $10\%$ per annum compounded annually.

Question 4 :
I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

Question 5 :
Find the compound interest on Rs 10,000 for $1\frac{1}{2}$ years at 10% per annum, compounded half yearly.

Question 6 :
Use the identities to find the product of $(4x + 5) (4x – 1)$

Question 7 :
Dividing 15 (y + 3) ($y^2$ – 16) by 5 ($y^2$ – y – 12) .

Question 9 :
Standard identities allow easy alternative methods to calculate products of numbers and so on.Is it TRUE or FALSE?

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce68f59b460d7261f018.PNG' /> In the above fig, the pie chart shows the colours preferred by a group of people. From a group of 36 people, how many prefer Green colour ?

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce48f59b460d7261efec.jpg' /> In the above image, a Frequency Distribution Table of Daily Income of 550 workers of a factory is shown. Which two classes have the same frequency?

Question 12 :
100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for

Question 13 :
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?

Question 15 :
Choose the correct option. The distance travelled by CNG bus and the amount of CNG used

Question 18 :
Find the value of m for which, $5^m÷ 5^{– 3} = 5^5$

Question 20 :
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Question 21 :
Find the value of $(2^{– 1} × 4^{– 1}) ÷ 2^{– 2}$

Question 23 :
If a 3-digit number $abc$ is divisible by 11, then ___ is either 0 or multiple of 11.

Question 26 :
Check what the result would have been if Sundaram had chosen : 64

Question 27 :
Check what the result would have been if Sundaram had chosen : 18

Question 29 :
The area of a trapezium shaped field is $480 m^2$ , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The other parallel side is ?

Question 30 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceccf59b460d7261f0a8.png' /> In the above image, perimeter of the figure is ?

Question 31 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01df59b460d7261f280.png' /> From the above figure, Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 $ m^{2}$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Question 32 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d020f59b460d7261f284.png' /> From the above image, Diagram of the adjacent picture frame has outer dimensions = 24 cm x 28 cm and inner dimensions 16 cm x 20 cm. Find the area of each section of the frame, if the width of each section is same.

Question 33 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cedbf59b460d7261f0be.JPG' /> In the above image, find the area of polygon MNOPQR. If MP = 9 cm, MD = 7 cm, MC = 6 cm, MB = 4 cm, MA = 2 cm. NA, OC, QD and RB are perpendiculars to diagonal MP.

Question 34 :
<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 ?

Question 35 :
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area $1,080 m^{2}$ ? (If required you can split the tiles in whatever way you want to fill up the corners).

Question 36 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef6f59b460d7261f0e3.png' /> In the above image, there are two cuboidal boxes as shown. Which box requires the lesser amount of material to make?

Question 41 :
Obtain the volume of rectangular box with the following length, breadth and height respectively: $5a, 3a^2 , 7a^4$

Question 43 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce6ef59b460d7261f022.PNG' /> According to the above table, suppose a car uses 4 litres of petrol to travel a distance of 60 km. How far will it travel using 8 litres?

Question 44 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff7f59b460d7261f24d.jpg' /> Refer to the above image. In a Television game show, the prize money of Rs.1,00,000 is to be divided equally amongst the winners. What is the prize money for each winner if the number of winners = 4 ?

Question 45 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce89f59b460d7261f048.PNG' /> In the above image, given that Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table given in the fig. above. What will be the angle between a pair of consecutive spokes if there are 8 spokes in the wheel.

Question 46 :
Simplify: $(1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y$

Question 47 :
Find the product of the pair of monomials : $4, 7p$

Question 48 :
What will be the product of first expression 'a+b+c' and second expression 'abc' ?