Question 2 :
If {tex} \mathrm { x } , \mathrm { y } {/tex} are both positive rational numbers, then {tex} ( √ x + √ y  ) (√ x  - √ y ) {/tex} is

Question 3 :
If Three Cubes of Metal of edges 6 cm, 8 cm, and 10 cm are melted and made into a single cube. What is the edge of the new cube so formed?

Question 4 :
To calculate the Area of the road paved by a road roller, we need to find the ______ of the roller?

Question 5 :
What is the length of the longest pole that can be placed in the park if the park is 10 m long and 8 m broad?

Question 6 :
What should be the length of a rope by which a cow must be tethered in order that it may be able to gaze an area of 9856 m ² ?

Question 7 :
What is its height of a Cylinder if the Curved Surface Area is 1760 <strong> m ² </strong> and its base radius is 14 cm?

Question 8 :
The number of Bricks each measuring 25 cm x 12.5 cm x 7.5 cm required to construct a wall 6 m Long, 5 m High, and 0.5 m Thick, While the Mortar occupies 5% of the Volume of the Wall is?

Question 9 :
A Wooden Box of Dimensions 8 m x 7 m x 6 m is to carry Rectangular Boxes of dimensions 8 cm x 7 cm x 6 cm. What is the Maximum Number of Boxes that can be carried in the Wooden box?

Question 10 :
If two cubes each with an 8 cm edge are joined end to end, what is the Surface Area of the resulting Cuboid?

Question 11 :
What is the area of a trapezium ABCD whose parallel sides are AB=19 cm, DC=9 cm, and the non-parallel sides are BC=8 cm and DA=6 cm?

Question 12 :
The cross-section of a canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at the bottom and the area of the cross-section is 640 m ² . What is the length of the canal?

Question 13 :
Find the Lateral Surface Area of the new Cube formed if the three cubes of metal with edges 5 cm, 4 cm, 3 cm are melted to form a single cube?

Question 15 :
The area of a rectangle is 144 m long is the same as that of a square having a side 84 m long. What is the width of the rectangle?

Question 16 :
If the Areas of the three adjacent faces of a cuboidal box are 120 cm ² , 72 cm ² , 60 cm ² . What is the Volume of the Box?

Question 18 :
How many planks can be stored in a place 15 m long, 4 m wide, and 60 m deep if each measure 5 m x 24 cm x 10 cm?

Question 19 :
A road of 1 m wide is laid around a rectangle garden of length 10 m and width 5 m. What is the cost of cementing the road at ₹200 per m² ?

Question 21 :
The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠D AC = 32° and ∠AOB = 70°, then ∠DBC is equal to

Question 22 :
In the given figure, O is the centre of the circle. If OA = 5 cm, AB = 8 cm and OD &perp; AB, then length of CD is equal to<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3762001ce34bec8e2ef6" />

Question 23 :
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a

Question 24 :
In the given figure, ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are mid-points of the non parallel sides. The ratio of area of ABEF and area of EFCD is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d6a46c669e046ac22d1db" /width=210>

Question 25 :
(x ^a+b /x ^c ) ^a-b x (x ^b+c /x ^a ) ^b-c x (x ^c+a /x ^b ) ^c-a =?

Question 26 :
(64) ^2/3 + ∛125 + 3 ⁰ + (1/2 ^-5 ) + (27) ^-2/3 x (25/9) ^-1/2 =?

Question 27 :
Which of the following values are equal? <br />I. 5 ^{0 <br />} II. 1 ^{5 <br />} III. 0 ^{5 <br />} IV. 5 ¹

Question 29 :
(81) ^-1 x 3 ^-5 x 3 ⁹ x (64) ^5/6 x (∛3) ⁶ =?