Question 1 :
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 2 :
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From the above figure, Mrs. Kaushik has a square plot with the measurement as shown. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per $m^{2}$.
Question 3 :
A closed cylindrical tank of radius 7m and height 3 m is made from a sheet of metal. How much sheet of metal is required ?
Question 5 :
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In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. There is a path of one metre width running inside along the perimeter of the park that has to be cemented. Area of park not cemented = ?
Question 6 :
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In the above image, find the length.
Question 7 :
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 8 :
The floor of a building consists of 3,000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^{2}$ is ₹ 4.
Question 9 :
The volume of a cube with a side 4 cm is ?
Question 10 :
The lateral surface area of a hollow cylinder is $4224 cm^2$. It is cut along its height and formed a rectangular sheet of width 33 cm. The perimeter of rectangular sheet is ?
Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec1f59b460d7261f097.jpg' />
In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. There is a path of one metre width running inside along the perimeter of the park that has to be cemented. Area of cemented path = ?
Question 12 :
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.
Question 13 :
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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 14 :
If the number of articles purchased increases, the total cost __________ .
Question 16 :
A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?
Question 17 :
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In the above image, given the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 13 metres of cloth of the same type using the table.
Question 18 :
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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. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
Question 19 :
The time taken for a journey and the distance travelled in a uniform speed. Is this in inverse proportion?
Question 20 :
Following are the car parking charges near a railway station up to: 4 hours = Rs.60, 8 hours = Rs.100, 12 hours = Rs.140, 24hours = Rs.180 Check if the parking charges are in direct proportion to the parking time.
Question 21 :
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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 10 ?
Question 22 :
Two persons could fit new windows in a house in 3 days. How many persons would be needed to fit the windows in one day?
Question 23 :
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same ?