Maths | KA Board | Grade 10 | 2016
Q. The H.C.F. of 12 and 18 is 6. Find their L.C.M.
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Q. If Tn=n2+3 then the value of T3 is
1. 6
2. 9
3. 12
4. 27
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Q. Given 3tanθ=1 and θ is an acute angle. Find the value of sin3θ
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Q. State Pythagoras theorem.
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Q. Solve the quadratic equation x24x+2=0 by formula method.
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Q. Arithmetic mean of 2 and 8 is
1. 5
2. 10
3. 16
4. 3.2
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Q. Rationalise the denominator and simplify:
3+232
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Q. Write the formula to find the total surface area of a cylinder.
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Q. If U={1, 2, 3, 4, 5} and A={2, 4, 5} then find A.
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Q. In a group of people, 12 people know music, 15 people know drawing and 7 people know both music and drawing. If people know either music or drawing then calculate the number of people in the group.
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Q. The radius of a cone is 7 cm and its slant height is 10 cm. Calculate the curved surface area of the cone.
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Q. The degree of the polynomial 2x24x3+3x+5 is
1. 0
2. 1
3. 2
4. 3
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Q. Calculate the volume of a right circular cylinder whose radius is 7 cm and height is 10 cm.
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Q. If the probability of winning a game is 0.3, then what is the probability of losing it?
1. 0.3
2. 0.1
3. 1.3
4. 0.7
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Q. Calculate the maximum number of diagonals that can be drawn in an octagon using the suitable formula
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Q. If the standard deviation of a set of scores is 1.2 and their mean is 10, then the coefficient of variation of the scores is
1. 20
2. 0.12
3. 120
4. 12
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Q. Two circles of diameters 10 cm and 4 cm, touch each other externally. Find the distance between their centres (in cm).
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Q. The slope of the straight line whose inclination is 60 is
1. 0
2. 13
3. 3
4. 3
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Q.

In the following figure, DEAB. If AD=7 cm, CD=5 cm and BC=18 cm, find CE.

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Q. There are 500 wrist watches in a box. Out of these 50 wrist watches are found defective. One watch is drawn randomly from the box. Find the probability that wrist watch chosen is a defective watch.
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Q. Find the polynomial which is to be added to P(x)=x4+2x32x2+x1, so that the resulting polynomial is exactly divisible by x2+2x3
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Q. If f(x)=2x2+3x+2 then find the value of f(2)
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Q. Draw a plan using the information given below:
[Scale:20 m=1 cm]
 Metre To D 40 to E 1601208040 60 to C40 to B From A
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Q. Find the product of 3 and 32.
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Q. Find the coordinates of the mid-point of the line segment joining the points (2, 3) and (4, 7).
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Q. Prove that 2+5 is an irrational number.
KA Board
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Q. The distance between the origin and the point (4, 3) is
1. 12 units
2. 7 units
3. 1 unit
4. 5 units
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Q. If sinθ=35, then the value of cosecθ is
1. 54
2. 53
3. 43
4. 45
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Q. Construct a tangent at any point P on a circle of radius 3 cm
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Q. Find out the quotient and the remainder when
P(x)=x3+4x25x+6 is divided by g(x)=x+1
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