Section-1
1) In the given figure △ABC ~ △ADE, then find the value of 'x'.
2) Find the probability of getting a sum of the numbers on them is 7, when two dice are rolled at a time.
3) If tan 𝝷 = √3 ( where 𝝷 is acute) , then find the value of 1 + cos𝝷
4) "A conical solid block is exactly fitted inside the cubical box of side 'a' . Then the volume of conical solid block is 4𝞹a^3". Is
3
this statement true? Justify your answer.
5) If the surface area of hemisphere is 'S', then express 'r' in terms of 'S'.
6) Write the formula to find the median for grouped data and explain each term.
7) "If the angle of elevation of Sun increases from 0 deg to 90 deg , then the length of a shadow of tower decreases".Is this statement true? Justify your answer.
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Section-2
_____
8) Prove that | 1- sin𝞱 = sec𝞱 - tan𝞱, (where 𝞱 is acute ).
√ 1+sin𝞱
9) ABC is an isosceles triangle and ∠B = 90 deg, then show that AC^2 = 2AB^2.
10) Find the volume and surface area of sphere of radius 42 cm(𝞹 = 22/7).
11) If tan(A + B) = 1, and cos(A - B) = √3, 0 deg<A+B<90 deg and A>B.
12) A solid metallic ball of volume 64 cm^3 melted and made into a solid cube. Find the side of the solid cube.
13) A boat has to cross a river. It crosses the river by making an angle of 60 deg with the bank of the river due to the stream of the river and travels a distance of 450 m to reach the another side of the river.Draw the diagram for this data.
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Section-3
14) A bag contains 5 red balls some blue balls. If the probability of drawing a blue ball is double that or red ball, find the number of blue ball in the bag.
OR
Evaluate : tan^2 60 + 4cos^2 45 + 3sec^2 30 + 5cos^2 90
cosec 30 + sec 60 - cot^2 30
15) Consider the following distribution of daily wages of 50 workers of a factory.
Find the mean daily wages of the workers in the factory by using step-deviation method.
OR
Draw a circle of radius 5 cm. From a point 8 cm away from its center, construct a pair of tangents to the circle. Find the lengths of tangents.
16) The following table gives production yield per hectare of Wheat of 100 farms of a village
Draw both Ogives for the above data. Hence obtain the median production yield.
OR
Construct a triangle of sides 5 cm, 6 cm and 7 cm, then construct a triangle similar to it, whose sides are (2/3) of the corresponding sides of the first triangle.
17) DWACRA is supplied cuboidal shaped wax block with measurements 88cm * 42cm*35 cm. From this how many number of cylindrical candles of 2.8 cm diameter and 8 cm of height can be prepared?
OR
Two poles of equal heights are standing opposite to each other, on either side of the road , which is 80 m wide. From a point between them on the road , the angles of elevation of top of the poles are 60 deg and 30 deg respectively. Find the heights of the pole.
1) In the given figure △ABC ~ △ADE, then find the value of 'x'.
2) Find the probability of getting a sum of the numbers on them is 7, when two dice are rolled at a time.
3) If tan 𝝷 = √3 ( where 𝝷 is acute) , then find the value of 1 + cos𝝷
4) "A conical solid block is exactly fitted inside the cubical box of side 'a' . Then the volume of conical solid block is 4𝞹a^3". Is
3
this statement true? Justify your answer.
5) If the surface area of hemisphere is 'S', then express 'r' in terms of 'S'.
6) Write the formula to find the median for grouped data and explain each term.
7) "If the angle of elevation of Sun increases from 0 deg to 90 deg , then the length of a shadow of tower decreases".Is this statement true? Justify your answer.
******************************************************
Section-2
_____
8) Prove that | 1- sin𝞱 = sec𝞱 - tan𝞱, (where 𝞱 is acute ).
√ 1+sin𝞱
9) ABC is an isosceles triangle and ∠B = 90 deg, then show that AC^2 = 2AB^2.
10) Find the volume and surface area of sphere of radius 42 cm(𝞹 = 22/7).
11) If tan(A + B) = 1, and cos(A - B) = √3, 0 deg<A+B<90 deg and A>B.
12) A solid metallic ball of volume 64 cm^3 melted and made into a solid cube. Find the side of the solid cube.
13) A boat has to cross a river. It crosses the river by making an angle of 60 deg with the bank of the river due to the stream of the river and travels a distance of 450 m to reach the another side of the river.Draw the diagram for this data.
******************************************************
Section-3
14) A bag contains 5 red balls some blue balls. If the probability of drawing a blue ball is double that or red ball, find the number of blue ball in the bag.
OR
Evaluate : tan^2 60 + 4cos^2 45 + 3sec^2 30 + 5cos^2 90
cosec 30 + sec 60 - cot^2 30
15) Consider the following distribution of daily wages of 50 workers of a factory.
Find the mean daily wages of the workers in the factory by using step-deviation method.
OR
Draw a circle of radius 5 cm. From a point 8 cm away from its center, construct a pair of tangents to the circle. Find the lengths of tangents.
16) The following table gives production yield per hectare of Wheat of 100 farms of a village
Draw both Ogives for the above data. Hence obtain the median production yield.
OR
Construct a triangle of sides 5 cm, 6 cm and 7 cm, then construct a triangle similar to it, whose sides are (2/3) of the corresponding sides of the first triangle.
17) DWACRA is supplied cuboidal shaped wax block with measurements 88cm * 42cm*35 cm. From this how many number of cylindrical candles of 2.8 cm diameter and 8 cm of height can be prepared?
OR
Two poles of equal heights are standing opposite to each other, on either side of the road , which is 80 m wide. From a point between them on the road , the angles of elevation of top of the poles are 60 deg and 30 deg respectively. Find the heights of the pole.
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