1 Mark Questions:
1. Find centroid of the triangle formed by A(-1, 2), B(0, 3), C(-2, 4) (P.S.)
2. How do you find the distance between two points on the line parallel to x-axis. Explain. (R & P)
3. If the slope of line segment joining P(-2, 3), Q(x, 6) is -1, then find x. (P.S.)
4. Find cubic polynomial with the zero values -7, 1, 2. (P.S.)
5. Can x+2, x+4 and x+9 be in A.P. Justify your answer. (R & P)
2 Marks Questions:
1. How many two digit numbers are divisible by 7 ? (Com)
2. Are sets of multiples of 3 and multiples of 2 disjoint sets. Justify your answer ? (R & P)
3. Find the ratio in which y-axis divides the line segments joining the points A(3, 2), B(-1, 2). (P.S.)
4. Find the area of quadrilateral formed by the points A(2, 1), B(4, 3), C(-1, 3), D(-3, 1) (P.S.)
4 Marks Questions:
1. The length and breadth of a rectangular metal sheet are in the ratio 7 : 5. Four 3cm I 3cm squares have been separated from the corners of that rectangle and it has been moulded into a cuboid of 96 cm3 of volume. Find the area of the rectangular metal sheet take in the beginning. (Connection)
2. A stone is thrown vertically upwards from a building of 96 ft height with a initial velocity of 116 ft/sec. If the acceleration due to gravity is 32 ft/sec2, then after how many seconds the stone will reach the ground. (Connection)
3. Rama has arranged 256 dots to draw a rangoli in the following ways. In how many rows has she arrange the dots. (P.S.)
4. The product of two consecutive multiples of 3 is 81. Form a quadratic equation and by using this information draw its graph. (Rep & V)
5. 5 women and 3 men having same capacity can complete a work in 6 days. And 3 men, 3 women of same capacity together complete the same work in 9 days, then in how many days a women or a man can complete the work. (P.S.)
10th Class Maths Important Questions - New Syllabus for AP and Telangana
1. How many tangents can be drawn to a circle from a point outside the circle ? Justify your answer. (R & P)
2. How much cloth is required to set up a conical shaped tent with height 4 meters and radius 10.5 meters. (PS)
3. Find the probability of getting a prime number when a die is rolled once. (PS)
4. Explain the procedure to find median of ungrouped data. (Com)
5. If a line drawn through a point on a circle is perpendicular to radius of the circle to that point, then prove that it is tangent to the circle. (R & P)
6. If radius of a cylinder and a cone are equal and height of cone is double of that of cylinder, then find the relation between their volumes in the form of a ratio. (PS)
7. If Sec θ + tan θ = l, then find value of Sin θ in terms of l. (PS)
8. If unbiased coin is tossed 4 times. Then what is the probability of getting no head anytime ? (PS)
4 Marks Questions:
1. Construct a triangle with sides AB = 4cm, BC = 4.5cm, CA = 5cm, and also construct another triangle with 2/3 of corresponding sides of ΔABC (Rep & V)
2. Draw a circle of radius 4cm and construct tangents from a point 7 cm away from centre of the circle. (Rep & V)
3. A cylindrical tank has two hemispheres at its two ends. The length of axis at its centre is 11m and radius of a hemisphere is 3.5 m. Then find the capacity of the tank in litres.
4. A conical shaped tent has to set up on a cylindrical tent with its radius of base and height in the ratio 2 : 1. The heights of cylinder and cone are equal and ratio are 7 cm. Then how much cloth is required to set up the tent. (Con)
5. Two men on the same side of a tall building notice the angle of elevation to the top of the building to 30o and 60o respecting. If the height of the building is known to be h = 60m find the distance between the two men. (PS)
6. A man is watching a tower from a window of the hotel at the height 5m. The angle of elevation of top of the tower is 60o and the angle of depression of foot of the tower is 45o. Find the height of the tower. (PS).
2. How much cloth is required to set up a conical shaped tent with height 4 meters and radius 10.5 meters. (PS)
3. Find the probability of getting a prime number when a die is rolled once. (PS)
4. Explain the procedure to find median of ungrouped data. (Com)
5. If a line drawn through a point on a circle is perpendicular to radius of the circle to that point, then prove that it is tangent to the circle. (R & P)
6. If radius of a cylinder and a cone are equal and height of cone is double of that of cylinder, then find the relation between their volumes in the form of a ratio. (PS)
7. If Sec θ + tan θ = l, then find value of Sin θ in terms of l. (PS)
8. If unbiased coin is tossed 4 times. Then what is the probability of getting no head anytime ? (PS)
4 Marks Questions:
1. Construct a triangle with sides AB = 4cm, BC = 4.5cm, CA = 5cm, and also construct another triangle with 2/3 of corresponding sides of ΔABC (Rep & V)
2. Draw a circle of radius 4cm and construct tangents from a point 7 cm away from centre of the circle. (Rep & V)
3. A cylindrical tank has two hemispheres at its two ends. The length of axis at its centre is 11m and radius of a hemisphere is 3.5 m. Then find the capacity of the tank in litres.
4. A conical shaped tent has to set up on a cylindrical tent with its radius of base and height in the ratio 2 : 1. The heights of cylinder and cone are equal and ratio are 7 cm. Then how much cloth is required to set up the tent. (Con)
5. Two men on the same side of a tall building notice the angle of elevation to the top of the building to 30o and 60o respecting. If the height of the building is known to be h = 60m find the distance between the two men. (PS)
6. A man is watching a tower from a window of the hotel at the height 5m. The angle of elevation of top of the tower is 60o and the angle of depression of foot of the tower is 45o. Find the height of the tower. (PS).
10th Class Maths Objective Type Questions - New Syllabus
1. In the rational form of a terminating decimal number prime factor of the denominator is (Reasoning proof)
A) 5 only B) 2 only C) 2 or 5 only D) Any prime
2. Linear equation is two variable among the following is (Reasoning Proof)
A) (x+1)(y+2) = 0
B) (2x+1) ÷ (y-1) = 0
C) (x-1) + (2y - 5) = 0
D) x(y+1) = 0
3. In a quadratic equation discriminant is zero then the roots are (Communication)
A) real B) distinct C) imaginary D) none
4. Common difference of an AP is 3. If 2 is added to every term of the progression, then the common difference new AP (Problem solving)
A) 5 B) 6 C) 3 D) 2
5. Co-ordinates of a point on X–axis, which is at 5 units away from (2, 0) is (Problem solving)
A) (-3, 0)
B) (7, 0)
C) both A and B
D) (2, 5)
6. If the radius of two sphere are in the ratio 1 : 3, then their volumes are in the ratio (PS)
A) 1 : 3
B) 3 : 1
C) 3 : 6
D) 1 : 27
7. In a right angle ΔABC right angled at B, then the relation exist (R & P)
A) Sin (90-A) = Sin C
B) Cos (90-A) = Sin C
C) Cos (90-C) = Cos C
D) Sin A = Sin C
8. The set of total mutually exclusive and exhaustive events of a random experiment is
called (R & P)
A) Complete set
B) Sample space
C) Compulsory Event
D) No set occurs
9. The probability of an event is always lie (Com)
A) in between -1 and 1
B) From 0 to 1
C) more than 1
D) less than -1
10. The middle most value of data is called (R & P)
A) Mean
B) Median
C) Mode
D) No value exists
A) 5 only B) 2 only C) 2 or 5 only D) Any prime
2. Linear equation is two variable among the following is (Reasoning Proof)
A) (x+1)(y+2) = 0
B) (2x+1) ÷ (y-1) = 0
C) (x-1) + (2y - 5) = 0
D) x(y+1) = 0
3. In a quadratic equation discriminant is zero then the roots are (Communication)
A) real B) distinct C) imaginary D) none
4. Common difference of an AP is 3. If 2 is added to every term of the progression, then the common difference new AP (Problem solving)
A) 5 B) 6 C) 3 D) 2
5. Co-ordinates of a point on X–axis, which is at 5 units away from (2, 0) is (Problem solving)
A) (-3, 0)
B) (7, 0)
C) both A and B
D) (2, 5)
6. If the radius of two sphere are in the ratio 1 : 3, then their volumes are in the ratio (PS)
A) 1 : 3
B) 3 : 1
C) 3 : 6
D) 1 : 27
7. In a right angle ΔABC right angled at B, then the relation exist (R & P)
A) Sin (90-A) = Sin C
B) Cos (90-A) = Sin C
C) Cos (90-C) = Cos C
D) Sin A = Sin C
8. The set of total mutually exclusive and exhaustive events of a random experiment is
called (R & P)
A) Complete set
B) Sample space
C) Compulsory Event
D) No set occurs
9. The probability of an event is always lie (Com)
A) in between -1 and 1
B) From 0 to 1
C) more than 1
D) less than -1
10. The middle most value of data is called (R & P)
A) Mean
B) Median
C) Mode
D) No value exists
Subscribe to:
Posts (Atom)