Question 1 :
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.

Question 3 :
State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.

Question 4 :
State whether the statement is TRUE or FALSE : Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p years.

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd2f59b460d7261edf4.PNG' /> From the above figure, supply the missing information for diagram.

Question 11 :
Find the value of m for which, $5^m÷ 5^{– 3} = 5^5$

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd4f59b460d7261edf6.PNG' /> From the above figure, supply the missing information for diagram.

Question 16 :
If xy = 10, then x and y vary ______ with each other.

Question 17 :
When the speed remains constant, the distance travelled is ______ proportional to the time.

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc90f59b460d7261ed9e.PNG' /> In the above figure, a table is shown. Determine if x and y are in direct proportion or not.

Question 19 :
Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y?

Question 20 :
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc9af59b460d7261edab.PNG' /> Refer to the above figure. A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proprotional to their heights. Find the height of the tank.

Question 22 :
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?

Question 24 :
Choose the correct option. Area of the walls of a room and the cost of white washing the walls

Question 25 :
A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is

Question 26 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce7bf59b460d7261f034.PNG' /> In the above image, given a train is moving at a uniform speed of 75 km/hour. Use the table given in the above fig. to find the time required to cover a distance of 250 km.

Question 27 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce82f59b460d7261f03e.PNG' /> In the above image, given that a mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the above table, find the parts of base that need to be added for 7 parts of red pigment.

Question 28 :
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Question 29 :
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

Question 30 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffef59b460d7261f257.jpg' /> In the above image, refer the table shown. 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. Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

Question 31 :
A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Question 32 :
<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 33 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffcf59b460d7261f255.jpg' /> In the above image, refer the table shown. 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. What is the angle between a pair of consecutive spokes if the number of spokes is 12 ?

Question 34 :
A photograph of a bacteria enlarged 50,000 times attains a length of 5cm. If the photograph is enlarged 20,000 times only, what would be its enlarged length ?

Question 35 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce87f59b460d7261f046.PNG' /> In the above image, given that a Television game show, the prize money of Rs. 1,00,000 is to be divided equally amongst the winners. How much will each of the winners get if there were 20 winners ?

Question 36 :
What is the least number that must be added to 1500 so as to get a perfect square?

Question 37 :
The area of a rectangular field whose length is twice it's breadth is 2450 $m^2$. What is the perimeter of the field?

Question 38 :
What is the square root of 400? Calculate by prime factorization method.