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Questions and Answers
How many questions are there in the question paper?
How many questions are there in the question paper?
- 11
- 13
- 12
- 14 (correct)
Into how many sections is the question paper divided?
Into how many sections is the question paper divided?
- Four
- Three (correct)
- Five
- Two
Use of calculator is permitted.
Use of calculator is permitted.
False (B)
Find the sum of first 30 terms of AP : -30, -24, -18, ...
Find the sum of first 30 terms of AP : -30, -24, -18, ...
In an AP if Sn = n (4n + 1), then find the AP.
In an AP if Sn = n (4n + 1), then find the AP.
A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.
A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.
Find the value of m for which the quadratic equation (m - 1) x^2 + 2 (m - 1) x + 1 = 0 has two real and equal roots.
Find the value of m for which the quadratic equation (m - 1) x^2 + 2 (m - 1) x + 1 = 0 has two real and equal roots.
Solve the following quadratic equation for x: √3 x^2 + 10x + 7√3 = 0
Solve the following quadratic equation for x: √3 x^2 + 10x + 7√3 = 0
Find the mode of the following frequency distribution:
Find the mode of the following frequency distribution:
The product of Rehan's age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age.
The product of Rehan's age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age.
Two concentric circles are of radii 4 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Two concentric circles are of radii 4 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
For what value of x, is the median of the following frequency distribution 34.5?
For what value of x, is the median of the following frequency distribution 34.5?
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its center. Construct tangents to the circle from these two points P and Q.
Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its center. Construct tangents to the circle from these two points P and Q.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, then find the height of the building.
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, then find the height of the building.
From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river.
From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river.
Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees.
Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees.
From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed out. Find the total surface area of the remaining solid.
From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed out. Find the total surface area of the remaining solid.
Water in a canal, 8 m wide and 6 m deep, is flowing with a speed of 12 km/hour. How much area will it irrigate in one hour, if 0.05 m of standing water is required?
Water in a canal, 8 m wide and 6 m deep, is flowing with a speed of 12 km/hour. How much area will it irrigate in one hour, if 0.05 m of standing water is required?
In Figure 1, a triangle ABC with ∠B = 90° is shown. Taking AB as diameter, a circle has been drawn intersecting AC at point P. Prove that the tangent drawn at point P bisects BC.
In Figure 1, a triangle ABC with ∠B = 90° is shown. Taking AB as diameter, a circle has been drawn intersecting AC at point P. Prove that the tangent drawn at point P bisects BC.
Write the AP for the number of triangles used in the figures. Also, write the nth term of this AP.
Write the AP for the number of triangles used in the figures. Also, write the nth term of this AP.
Which figure has 61 matchsticks ?
Which figure has 61 matchsticks ?
Draw a well-labelled figure based on the above information(Gadisar Lake case study);
Draw a well-labelled figure based on the above information(Gadisar Lake case study);
Find the height (h) of the point A above water level
Find the height (h) of the point A above water level
Flashcards
Sections in the Question Paper
Sections in the Question Paper
The question paper is divided into three sections – Sections A, B and C.
Section A
Section A
Section A comprises 6 questions (Q.no. 1 to 6) of 2 marks each. Internal choice has been provided in two questions.
Section B
Section B
Section B comprises 4 questions (Q.no. 7 to 10) of 3 marks each. Internal choice has been provided in one question.
Section C
Section C
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Sum of AP
Sum of AP
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Sphere to Cones
Sphere to Cones
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Equal Roots Condition
Equal Roots Condition
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Mode
Mode
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Elevation Problem
Elevation Problem
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Calculating Mean
Calculating Mean
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Cylinder with Cone
Cylinder with Cone
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Study Notes
- The question paper consists of 14 questions.
- All questions are compulsory.
- The paper is divided into three sections: A, B, and C.
- Section A has 6 questions (1-6), each worth 2 marks.
- Internal choice is provided in two questions in Section A.
- Section B has 4 questions (7-10), each worth 3 marks.
- One question in Section B has internal choice.
- Section C has 4 questions (11-14), each worth 4 marks.
- Section C includes internal choice in one question and two case study-based questions.
- Calculators are not permitted for use.
Section A
- Find the sum of the first 30 terms of the arithmetic progression: –30, –24, –18, ...
- In an arithmetic progression, if Sn = n(4n + 1), determine the AP.
- A solid metallic sphere with a radius of 10.5 cm is melted and recast into smaller cones.
- The cones have a radius of 3.5 cm and a height of 3 cm, and the number of cones formed needs to be found.
- Determine the value of m for which the quadratic equation (m – 1)x² + 2(m – 1)x + 1 = 0 has two real and equal roots.
- Solve the quadratic equation for x: √3x² + 10x + 7√3 = 0.
- Find the mode of the given frequency distribution table.
Section B
- Find the value of x for which the median of the given frequency distribution is 34.5.
- Draw a circle with a radius of 3 cm.
- Take points P and Q on one of its extended diameters, each at a distance of 7 cm from the center.
- Construct tangents to the circle from points P and Q.
- The angle of elevation of the top of a building from the foot of a tower is 30°, while the angle of elevation of the top of the tower from the foot of the building is 60°.
- Find the height of the building when the tower is 50 m high.
- From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively.
- If the bridge is at a height of 3 m from the banks, find out the width of the river.
- Find the mean daily expenditure of the employees
Section C
- From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed out, find the total surface area of the remaining solid.
- In a canal that is 8 m wide and 6 m deep, water is flowing at a speed of 12 km/hour, find out how much area it will irrigate in one hour, if 0.05 m of standing water is required.
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