Some Mathematics Questions of class 10

 Mathematics Questions

1. Which term of the Arithmetic progression 5,15, 25,..... will be 140 more than 31st term?

2. 12 spheres of the same size are made from melting a solid cylinder of 16cm diameter and 2 height. Find the diameter of each sphere.

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3. ∆ABC is a right angled triangle with BC=6cm and AB=8cm. A circle with centre O and radius x cm had been inscribed in ∆ABC as shown in figure.

Then find the value of x.

4. If the circumference of a circle exceeds it diameter by 30, then find the radius of the circle.

5. Find the ratio in which line 2x+y=4 divides the join of A (2,-2) and B (3,7). Also, find the coordinates of the point of intersection

6. If the first term of an AP is 2 and common difference is 4, then find the sum of it's 40 terms.

Or

What is the common difference of an AP in which T18 - T14=32?

7. If P(-1,1) is the mid point of the line segment joining A(-3,b) and B (1,b+4), then find the value of b.

8. In the given figure, AT is a tangent to the circle with centre O such that OT=4cm and angle OTA =30°.

Then, find the value of AT.

Or

Find the length of a tangent drawn to a circle, with radius 5cm, from a point 13cm away from the centre of the circle.

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9. In a lottery ticket, there are 10 prizes and 25 blanks, find the probability of not getting prize.

10. If the graph of a quadratic polynomial does not intersect the X- axis, then find the number of zero(s).

11. If the mean of first n natural numbers is 5n/9, then find the value of n.

12. Find the centroid of ∆PQR whose vertices are P(-8,0), Q(5,5), R(-3,-2).

13. The material of a cone is converted into the shape of a cylinder of equal radius. If height of the cylinder is 6cm, then find the height of the cone.

14.  If sinø+ sin²ø=1, then find the value of cos12 ø+3cos10ø+3cos8ø+cos6 I+2cos⁴ø+2cos²ø-2.

15. If alpha and beeta are the zeroes of the polynomial 3x²+4x+2, then find alpha×beeta² + beeta×alpha².

Or

If alpha and beeta are the zeroes of the polynomial f(x)=x²-5x+k such that alpha -beeta=1, then find the value of 4k.

16. The angle of ....... of an object viewed, is the angle formed by the line of sight with the horizontal.

i. Elevation

ii. Depression

iii. Both i and ii

iv. None of these

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Posted by:- Anuranjan Gadekar

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