Search.....

10th Class Mathematics Sample Paper

Sample Paper - 1 Term - 1 Total Questions - 34

1)

If the angle remains the same, the values of the trigonometric ratios of the angle (a) vary with the change in length of the sides of the trangle (b) do not vary with the change in length of the sides of the triangle. (c) vary with the change in length of hypotenuse only (d) do not vary with the change in length of hypotenuse only.
View Answer
2)

will have a terminating decimal expansion. State True or False. Justify your answer.
View Answer
3)

Prove that OR Without using trigonometric tables, find the value of
View Answer
4)

ABC is a right triangle and right angled at B. AC is known as (a) side adjacent to A (b) side adjacent to B (c) hypotenuse (d) side opposite to C
View Answer
5)

A cricketer has a mean score of 58 runs in nine innings. Find out how many runs are to be scored in the tenth inning to raise the mean score to 61.
View Answer
6)

Evaluate
View Answer
7)

In the given figure, andshow that
View Answer
8)

Find the missing numbers in prime factors trees.
View Answer
9)

Using Euclid's division algorithm, find HCF of 216 and 1176.
View Answer
10)

Draw the graphs of the equations x y 1 0 and 3x 2y 12 0. Determine the coordinates of the vertices of the triangle formed by these lines and the X-axis and shade the triangular region.
View Answer
11)

Median of the following table is

5 6 7 8 9 10

4 5 7 9 7 6

(a) 9 (b) 10 (e) 7 (d) 8
View Answer
12)

In the given figure, length of is equal to (a) (b) (c) (d)
View Answer
13)

If and then is equal to (a) (b) (c) (d)
View Answer
14)

In the given figure MN 11 PR, then (a) (b) (c) (d)
View Answer
15)

Graph of p is a (a) parabola (b) intersects X-axis in two points (c) a straight line intersecting X-axis at exactly one point (d) None of the above
View Answer
16)

Given positive integers p and q such thatwhere m and n are unique integers, then (a) (b) (c) (d)
View Answer
17)

Find the value of
View Answer
18)

Two isosceles triangles have equal angles and their areas are in the ratio 81:25 . Find the ratio of their corresponding heights.
View Answer
19)

In the given figure, E is a point on side CB produced an isosceles ABC with AB AC. If AD BC and EF AC, prove that ABD-ECF.
View Answer
20)

Show that
View Answer
21)

If two zeroes of the polynomial are and , find the other zeroes of the polynomial. OR Prove that
View Answer
22)

Show that square of an odd positive integer can be of the form or for some integer q. Show that is an irrational number.
View Answer
23)

If the mean of the following data is 18.75, find the value of p.

10 15 25 30

5 10 7 8 2

View Answer
24)

Find the sum of the deviations of the variate values 3, 4, 6, 7, 8, 14 from their mean.
View Answer
25)

If then prove that
View Answer
26)

Prove that the ratio of the areas of similar triangles is equal to the ratio of the squares on the corresponding sides.
View Answer
27)

It can take 12 h to fill a swimming pool using two pipes. if the pipe of larger diameter is used for 4 h and the pipe of smaller diameter is used for 9 h, only half of the pool can be filled. How long would it take for each pipe to fill the pool separately? OR A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was ` 1500 after 4 yr of service and ` 1800 after 10 yr of service. What was his starting salary and what is the annual increment?
View Answer

The following table gives the weekly consumption of electricity of 56 families

Weekly consumption	0-10	10-20	20-30	30-40	40-50
Number of families	16	12	18	6	4

View Answer

If the mean of the following frequency distribution is 65.6, find the missing frequencies

Class	Frequency
10-30 30-50 50-70 70-90 90-110 110-130	5 8 20 2
Total	50

View Answer

You need to login to perform this action.
You will be redirected in 3 sec spinner