MEDIUM

10th CBSE

IMPORTANT

Earn 100

In a $∆ ABC$ as shown in figure $A C ‖ X Y$ . Also given that area of $Δ B X Y$ is same as area of trapezium $A X Y C$ . Prove that $A X : A B = (2 - \sqrt{2}) : 2$ .

Important Questions on Model Test Paper

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 20

In figure,

A B

and

C D

are two parallel tangents to a circle with centre

O

S T

is tangent segment between the two parallel tangents touching the circle at

Q

. Show that

∠ S O T = 90 °

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 21

The following table gives the number of participants in a yoga camp:

Age(in years)	$20 ‐ 30$	$30 ‐ 40$	$40 ‐ 50$	$50 ‐ 60$	$60 ‐ 70$
Number of participants	$8$	$40$	$58$	$\frac{A X}{A B}$	$83$

Find the modal age of the participants.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 21

The mean of the following frequency distribution is

50

and the sum of all the frequencies is

120 .

Find the missing frequencies

x

and

y

Classes	$0 ‐ 20$	$20 ‐ 40$	$40 ‐ 60$	$60 ‐ 80$	$80 ‐ 100$	Total
Frequency	$17$	$x$	$32$	$y$	$19$	$120$

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 22

In a game, the entry fee is

₹ 5 .

The game consists of tossing a coin

3

times. For one head or two heads, Sweta gets her entry fee back. If she throws

3

heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, if the probability that she loses the entry fee is

\frac{1}{k}

, then find the value of

k

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 22

In a game, the entry fee is $₹ 5 .$ The game consists of a tossing a coin $3$ times. If one or two heads show, Sweta gets her entry fee back. If she throws $3$ heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, find the probability that she gets double entry fee. (Write the final answer in its simplest fraction form)

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 22

In a game, the entry fee is

₹ 5

. The game consists of a tossing a coin a

3

times. If one or two heads show, Sweta gets her entry fee back. If she throws

3

heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, if the probability that she just gets her entry fee is

\frac{k}{4}

, then find

k

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 23

One-fourth of a herd of camels was in the forest. Twice the square root of the herd had gone to mountains and and the remaining

15

camels were seen on the bank of a river. Find the total number of camels.

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 16 - Model Test Paper>SECTION>Q 23

A pole has to be erected at a point on the boundary of a circular park of diameter

13 meters

in such a way that the differences of its distance from two diametrically opposite fixed gates

A

and $B$ on the boundary is

7 meters

. Is it possible to it so? If yes, at what distance from the two gates should the pole be erected?

In a ∆ABC as shown in figure AC‖XY. Also given that area of ΔBXY is same as area of trapezium AXYC. Prove that AX:AB=(2-2):2.

Important Questions on Model Test Paper

Learn and Prepare for any exam you want !

In a $∆ ABC$ as shown in figure $A C ‖ X Y$ . Also given that area of $Δ B X Y$ is same as area of trapezium $A X Y C$ . Prove that $A X : A B = (2 - \sqrt{2}) : 2$ .