Question 1 :
If the diagonals of a square ABCD intersect each other at O, then ∆OAB is
Question 2 :
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
Question 3 :
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
Question 4 :
A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
Question 5 : In the given figure, if l || m, AF || BE, FC ⊥ m and ED ⊥ m , then the correct statement is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c375c001ce34bec8e2ee8">
Question 6 :
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 7 :
In a ∆ABC, if AB = 6√3 cm, BC = 6 cm and AC = 12 cm, then ∠B is
Question 8 :
The sum of two natural numbers is 240 and their ratio is 3 : 5. Then the greater number is
Question 9 :
The sum of two natural numbers is 25 and their difference is 7. The numbers are
Question 10 :
The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the number get reversed. The number
Question 11 :
Father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present age in years of the son and the father are, respectively
Question 12 :
The age of a woman is four times the age of her daughter. Five years hence, the age of the woman will be three times the age of her daughter. The present age of the daughter is
Question 13 :
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 14 :
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 15 :
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 16 :
What is the Multiplicative Inverse of 10 <sup> 10 </sup> ?
Question 17 :
(64) <sup> 2/3 </sup> + ∛125 + 3 <sup> 0 </sup> + (1/2 <sup> -5 </sup> ) + (27) <sup> -2/3 </sup> x (25/9) <sup> -1/2 </sup> =?
Question 18 :
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 19 :
Find the value of n in {x <sup> 2n-3 </sup> x (x <sup> 2 </sup> ) <sup> n+1 </sup> / (x <sup> 4 </sup> ) <sup> -3 </sup> } = (x <sup> 3 </sup> ) <sup> 3 </sup> ÷ (x <sup> 6 </sup> ) <sup> -3 </sup> ?
Question 20 :
If 3 <sup> x+y </sup> = 81 and 81 <sup> x-y </sup> = 3 <sup> 8 </sup> , what is the value of x and y?
Question 21 :
The marks obtained by 17 students in a mathematics test (out of 100 ) are given below: <br>91, 82,100,100,96,65,82,76,79,90,46,64,72,66,68,48,49<br>The range of the data is<br>
Question 22 :
In a frequency distribution, the mid-value of a class is 10 and the width of the class is {tex} 6 . {/tex} The lower limit of the class is
Question 23 :
The mean of 100 observations is {tex} 50 . {/tex} If one of the observation which was {tex}50{/tex} is replaced by {tex} 150 , {/tex} the resulting mean will be
Question 24 : The given figure shows a rectangle and a semicircle. The perimeter of the shaded region is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3768006e1e13a9a96fde">
Question 25 : In the given figure, OABC is a square of side 7 cm. OAC is a quadrant of a circle with O as centre. The area of the shaded region is <br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c376798e8ad4b910e5693">
Question 26 :
If the volume of a cube is 729 m<sup>3</sup>, then its surface area is
Question 27 :
If the perimeter of one face of a cube is 40 cm, then the sum of lengths of its edge is
Question 28 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be
Question 29 :
What is the diagonal of a square having each side 8 m long? (Take √2=1.41)
Question 32 :
If the perimeter and area of a square are numerically equal then, What is the length of its side?
Question 33 :
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 37 :
The point which lies ony-axis at a distance of 5 units in the negative direction of y- axis is
Question 38 :
The distance of the point P (2, 3) from the x-axis is
