10th grade worksheet13

In this 10th grade worksheet13, you can find 10 problems on math which are in the level of 10 th grade.Teachers and parents also can help the children to practice the work sheets and improve their knowledge. If you are having any difficulties to solve these problems please Contact us via mail. We will send you step by step detailed solution. By solving these problems you can realize you capability. Your valuable suggestions are welcome for the improvement of this site. 

Here is 10th grade worksheet13

 1.Find the equation of the straight line passing through the point (3,2) and the perpendicular to the straight line joining the points (4,5) and (1,2)

(A) x - y = 0
(B) x + y - 5 = 0
(C) x - y - 2 = 0



2.Find the point of intersection of the straight lines x - y = 3 and x + y = 5

(A) (3,2)
(B) (1,2)
(C) (4,1)



3.Find the length of the chord of a circle of radius 3 cm subtending at the center angle of 144 °

(A) 5.7066 cm
(B) 10.7066 cm
(C) 0.1266 cm



4.The tree stands vertically on the bank of a river. From a point on the another bank directly opposite to the tree, the angle of elevation of the top of the tree is 60 °. From the point 40m behind this point on the same bank, the angle of elevation of the top of a tree is 30 °. Find the height of the tree and the width of the river.

(A) 15.05 m and 10 m
(B) 12.23 m and 22 m
(C) 14.64 m and 20 m



5.Find the range of the data 27,28,34,36,39,50

(A) 12
(B) 50
(C) 32



6.A group of 100 candidates have their average height 163.8 cm with coefficient of variation 3.2%. What is the standard deviation of their height?

(A) 5.24
(B) 1.24
(C) 1.36



7.An integer is chosen at random from 1 to 50.Find the probability that the number is not divisible by 5.

(A) 2/5
(B) 1/5
(C) 4/5



8.The height of right circular cone is 7 cm greater than its radius.The slant height is 8 cm greater than its radius.Find the curved surface area of the cone.

(A) 59 πcm 2
(B) 65 πcm 2
(C) 50 πcm 2



9.Find the L.C.M of (x² - 2 x + 1) and (x² + x -2)

(A) (x-1) 2 (x - 2)
(B) (x-1) 3
(C) (x-1) 2 (x+2)



10.Find the sum of the series 2+4+6+8+........................+360



(A) 45652
(B) 45450
(C) 32580


These are the questions on math prepared in 10th grade worksheet13 based on the curriculum of 10th grade

 Answers

1.   x + y - 5 = 0

2.   (4,1) 

3.   5.7066 cm

4.   14.64 m and 20 m

5.   32

6.   5.24

7.   4/5

8.   65 πcm² 

9.   (x-1) ² (x+2)

10.  32580



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