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Maths | KA Board | Grade 10 | 2015
Q. If f(x)=x24, find f(4).
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Q. Prove that 3+5 is an irrational number.
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Q. Rationalise the denominator and simplify:
6+363
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Q. In the given figure, find the values of cosθ and tanθ
610448_4ae9545863ce48bda592269a0246681c.png
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Q. Express 210 as the product of prime factors.
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Q. Find the number of sides of a polygon having 35 diagonals.
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Q. In a class of 100 students, 55 students have passed in physics and 67 students have passed in Mathematics. Find the number of students passed in Physics only.
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Q. The harmonic mean between 2 and 4 is
  1. 83
  2. 68
  3. 38
  4. 86
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Q. In how many ways 4-digits numbers can be formed using the digits 1, 2, 3, 7, 8, 9 without repetition? How many of these are even numbers?
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Q. What must be added to the polynomial P(x)=x4+2x32x2+x1. So that the resulting polynomial is exactly divisible by x2+2x3?
  1. x+2
  2. x2
  3. x1
  4. x+1
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Q. Two dice are thrown simultaneously. Find the probability of getting
(a) same number on both faces and
(b) both faces having multiples of five.
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Q. Find the product of 2 and 35.
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Q. The slope of the line joining the point (3, 2) and (4, 5) is
  1. 3
  2. 1
  3. 7
  4. 37
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Q. Solve the equation by using formula: x24x+2=0.
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Q. In the figure, BC is the diameter. What is the measure of x?
610437_4a8b811b49714b71acd958812631d1e6.png
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Q. A conical flask is full of water. The flask has base radius 3 cm and height 15 cm. The water is poured into cylindrical glass tube of uniform inner radius 1.5 cm placed vertically and closed at lower end. Find the height of water in the glass tube.
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Q. The value of tan260 is
  1. 3
  2. 23
  3. 13
  4. 3
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Q. Calculate variance for the following data: 2, 4, 6, 8 and 10.
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Q. The distance between the points (2, 3) and (6, 6) is
  1. 5 units
  2. 3 units
  3. 7 units
  4. 4 units
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Q. Solve the given equation by the method of Completion of Squares: x2+4x+4=0?
  1. 2
  2. 2
  3. 4
  4. 4
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Q. Mean and standard deviation of runs scored by a cricket player are 80 and 4 respectively. Find the coefficient of variation.
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Q. The given pie-chart shows annual agriculture yield of certain place. If the total production is 8100 tons, then the yield of Ragi in tons is
610429_68580f49d98747e79ccb58950e54307a.png
  1. 225
  2. 2250
  3. 22.5
  4. 2.250
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Q. A and B are the two subsets of Universal Set U such that n(U)=700, n(A)=200, n(B)=300 and n(AB)=100. Find n(AB)
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Q. Draw a plan of a level ground using the given information:
Metre To D
To E 60
150
100
80
40
80 to C
40 to B
from A
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Q. The probability of winning a game is 56. Then the probability of losing it is.
  1. 56
  2. 56
  3. 16
  4. 16
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Q. If A={1, 2, 3, 4} and B={1}, find AB.
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Q. Find the perimeter of a triangle whose vertices have the coordinates (3, 10), (5, 2) and (14, 12).
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Q. In ABC, XYBC, AYCY=12 and AX=4. Find BX.
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Q. Draw a circle of radius 3cm and construct two tangents to it from an external point 8cm away from its centre.
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Q. Find the value of a if (x5) is a factor of (x33x2+ax10).
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