Question
Draw a square WXYZ with side 5.2 cm.
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Simplify :
(3r – 2k)³ + (3r + 2k)³
Find the square roots of 121 and 169 by the method of repeated subtraction.
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=\frac{-2}{5},\text{y}=\frac{4}{3},\text{z}=\frac{-7}{10}$
→$\text{x}=\frac{-2}{5},\text{y}=\frac{4}{3},\text{z}=\frac{-7}{10}$
The length of a side of a square field is 4m. what will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonal is 2m?
Construct a histogram for the following data:
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Monthly school fee (in Rs.)
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30-60
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60-90
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90-120
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120-150
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150-180
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180-210
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210-240
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Number of schools
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5
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12
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14
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18
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10
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9
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4
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Given below is the result of an annual examination of a class, showing the percentage of students in each category.
Represent the above data by a pie chart.
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First division
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Second division
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Third division
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Failed
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25%
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45%
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20%
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10%
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The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:
- Write the age group in which the number of literate female is the highest.
- What is the class width?
- What is the lowest frequency?
- What are the class marks of the classes?
- In which age group literate females are the least?
Sajal can ride a scooter constantly at a speed of 30km/ hr. draw a distance-time graph for this situation.
Use the graph drawn to find:
→Use the graph drawn to find:
- The time taken by Sajal to ride 75km.
- The distance covered by Sajal in $3\frac{1}{2}$ hours.
Expand (x + a) (x + b) using formulae for areas of a square and a rectangle.
(x + a) (x + b) = x² + ax + bx + ab
(x + a) (x + b) = x² + (a + b) x + ab
(x + a) (x + b) = x² + ax + bx + ab
(x + a) (x + b) = x² + (a + b) x + ab
Find the area of the sheet required to make a cylindrical container which is open at one side and whose diameter is 28 cm and height is 20 cm . Find the approximate area of the sheet required to make a lid of height 2 cm for this container.
Given: For cylindrical container:
diameter $( d )=28 cm$, height $\left( h _1\right)=20 cm$
For cylindrical lid: height $\left(h_2\right)=2 cm$
To find: i. Surface area of the cylinder with one side open
ii. Area of sheet required to made a lid
→Given: For cylindrical container:
diameter $( d )=28 cm$, height $\left( h _1\right)=20 cm$
For cylindrical lid: height $\left(h_2\right)=2 cm$
To find: i. Surface area of the cylinder with one side open
ii. Area of sheet required to made a lid