Question 3 :
The number {tex} ( 2 - \sqrt3 )^ 2 {/tex} is
Question 9 :
If {tex} \mathrm { x } , \mathrm { y } {/tex} are both positive rational numbers, then {tex} ( √ x + √ y ) (√ x - √ y ) {/tex} is
Question 10 :
Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is
Question 11 :
A girl walks 200 m towards East and then she walks 150 m towards North. The distance of the girl from the starting point is
Question 12 :
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
Question 13 :
D and E are mid-points of the sides AB and AC of ∆ABC and O is any point on the side BC. O is joined to A. If P and Q are mid-points of OB and OC respectively, then DEQP is
Question 14 : 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 15 :
A quadrilateral in which the diagonals are equal and bisect each other at right angles is a
Question 16 :
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 17 :
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
Question 18 :
The mid-points of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to
Question 19 :
AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, then the distance of AB from the centre of circle is
Question 21 : In the given figure, O is the centre of the circle. If OA = 5 cm, AB = 8 cm and OD ⊥ 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 22 :
The sum of two natural numbers is 25 and their difference is 7. The numbers are
Question 23 :
The value of {tex} \frac { \log 8 - \log 2 } { \log 32 } {/tex} is
Question 24 :
The sum of two natural numbers is 240 and their ratio is 3 : 5. Then the greater number is
Question 25 :
If {tex} \log _ { 5 } ( 0.04 ) = x , {/tex} then the value of {tex} x {/tex} is
Question 26 :
Aruna has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of the money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
Question 27 :
The value of {tex} 2 + \log _ { 10 } ( 0.01 ) {/tex} is
Question 28 :
Sum of digits of a two digit number is 8. If the number obtained by reversing the digits is 18 more than the original number, then the original number is
Question 29 :
The sum of the digits of a two digit number is 12. If the number is decreased by 18, its digits get reversed. The number is
Question 30 :
The value of (8 <sup> -1 </sup> -9 <sup> -1 </sup> ) <sup> -1 </sup> ÷ (4 <sup> -1 </sup> -9 <sup> -1 </sup> ) <sup> -1 </sup> ?
Question 31 :
Which of the following values are equal? <br />I. 5 <sup> 0 <br /></sup> II. 1 <sup> 5 <br /></sup> III. 0 <sup> 5 <br /></sup> IV. 5 <sup> 1 </sup>
Question 32 :
What is the value of {x <sup> 2n+3 </sup> x <sup> (2n+1)(n+2) </sup> } / {(x <sup> 3 </sup> ) <sup> 2n+1 </sup> x <sup> n(2n+1) </sup> } ?
Question 33 :
Simplify: {9 <sup> -2 </sup> x 3 <sup> 5 </sup> x (5 <sup> -2 </sup> ) <sup> 3 </sup> } / {(3 <sup> -3 </sup> ) <sup> 4 </sup> x 5 <sup> 4 </sup> } ?
Question 34 :
The width of each of 5 continuous classes in a frequency distribution is 5 and the lower limit of the lowest class is {tex} 10 . {/tex} The upper limit of the highest class is
Question 35 :
Which of the following points lie on the graph of the equation : 3x-5y + 7 = 0?
Question 36 :
The distance between the points (0, 5) and (-5, 0) is
Question 37 :
The distance of the point P (-6, 8) from the origin is
Question 38 :
The points (-4, 0), (4, 0) and (0, 3) are the vertices of a
Question 39 :
If the distance between the points (2, -2) and (-1, x) is 5 units, then one of the value of x is
Question 40 :
The distance of the point P (-4, 3) from the y-axis is
Question 41 :
AOBC is a rectangle whose three vertices are A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is
Question 42 :
The area of a square whose vertices are A (0, -2), B (3, 1), C (0, 4) and D (-3, 1) is
Question 43 : In the given figure, the area of the triangle ABC is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c377f3914bb134c8598c0" />
