All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 9

HARD

10th ICSE

IMPORTANT

Earn 100

Draw a circle of diameter $9 cm$ . Mark a point at a distance of $7.5 cm$ from the center of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

Important Questions on Sample Question Paper

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 9

Find the mode of the following frequency distribution by drawing a histogram.

Mid values	$12$	$18$	$24$	$30$	$36$	$42$	$48$
Frequency	$20$	$12$	$8$	$24$	$16$	$8$	$12$

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 10

Plot the points

P (1, 0), Q (4, 0)

and

S (1, 3)

. Find the coordinates of the point

R

such that

P Q R S

is a square.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 10

Plot the points

P (1, 0), Q (4, 0)

and

S (1, 3)

,

R (4, 3)

such that

P Q R S

is a square. Determine the length of line segment

S R

in figure

P Q R S

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 10

Plot the points

P (1, 0), Q (4, 0)

and

S (1, 3)

.

R (4, 3)

such that

P Q R S

is a square. Find the equation of the diagonal

P R

of square

P Q R S

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 10

Ramesh purchased a machine for

₹ 31860

, which includes

10 %

rebate on the list price and

18 %

tax (under GST) on the remaining price. Find the marked price of the digital camera.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 11

A company gives

x %

dividends on its

₹ 60

shares, whereas the return on the investment in these shares is

(x + 3) %

. If the market value of each share is

₹ 50

, then find the value of

x

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 11

Draw the locus of a point in the circle, so that it is equidistant from

A

and

B

, where

A B

is a chord of a circle.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 22 - Sample Question Paper>SAMPLE QUESTION PAPER>Q 1

Using factor theorem, factorize the polynomial

x^{3} - 3 x^{2} - 9 x - 5

.