Question 1 :
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 2 :
If {tex} \log _ { \sqrt [ 3 ] { 5 }} x = - 3 , {/tex} then the value of {tex} x {/tex} is
Question 3 :
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 4 :
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 5 :
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 6 :
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 7 :
If {tex} \log_ {\sqrt { 3 }} \ 27 = x , {/tex} then the value of {tex} x {/tex} is
Question 8 :
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 9 :
The value of {tex} 2 + \log _ { 10 } ( 0.01 ) {/tex} is
Question 10 :
If {tex} \log _ { 0.5 } 64 = x , {/tex} then the value of {tex} x {/tex} is
Question 11 :
If {tex} \log ( 3 x + 1 ) = 2 , {/tex} then the value of {tex} x {/tex} is
Question 12 :
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 13 :
If {tex} \log _ { 5 } ( 0.04 ) = x , {/tex} then the value of {tex} x {/tex} is
Question 14 : In the adjoining figure, AB ⊥ BE and FE ⊥ BE. If AB = FE and BC = DE, then<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d8944c669e046ac22d4da" /width=190>
Question 15 : In the adjoining figure, AC = BD. If ∠CAB = ∠DBA, then ∠ACB is equal to <br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3783006e1e13a9a97008">
Question 16 :
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 17 : In the adjoining figure, AB = CF, EF=BD and ∠AFE = ∠DBC. Then the rule by which ∆AFE ≅ ∆CBD is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3782006e1e13a9a97004">
Question 18 :
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of area of the triangle to the area of parallelogram is
Question 19 : 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 20 :
In ∆ABC and APQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
Question 21 : In the given figure, AB || DC and AB ≠ DC. If the diagonals AC and BD of the trapezium ABCD intersect at O, then which of the following statements is not true?<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c375f98e8ad4b910e5680">
Question 22 : In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5ff2dbb94e882678264ece2b" />
Question 23 : In the adjoining figure, ABCD is a quadrilateral in which BN and DM are drawn perpendiculars to AC such that BN = DM. If OB = 4 cm, then BD is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d89c97ba776464e7f2913" /width=190>
Question 24 :
Two sides of a triangle are of lenghts 5 cm and 1.5 cm. The length of the third side of the triangle can not be
Question 25 :
If the diagonals of a square ABCD intersect each other at O, then ∆OAB is
Question 26 :
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus if
Question 27 :
In ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. IfD and E are mid-points of AB and BC respectively, then the length of DE is
Question 28 :
The figure formed by joining the mid points of the sides of a quadrilateral ABCD, taken in order, is a square only if
Question 29 :
In a ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. If D and E are mid-points of AB and BC respectively, then the length of DE is
Question 30 :
In ∆PQR, ∠R = ∠P, QR = 4 cm and PR = 5 cm. Then the length of PQ is
Question 31 : In the given figure, area of parallelogram ABCD is<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c375d001ce34bec8e2eeb">
Question 32 :
If a side of a rhombus is 10 cm and one of the diagonals is 16 cm, then the length of the other diagonal is
Question 33 : In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is<br /><img style='object-fit:contain' class="uploaded-image" src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7d6b047ba776464e7f2633" /width=190>
Question 34 :
If PQRS is a parallelogram, then ∠Q – ∠S is equal to
Question 35 :
A ladder reaches a window 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9 m high. If the length of the ladder is 15 m, then the width of the street is
Question 36 :
In a ∆ABC, if AB = 6√3 cm, BC = 6 cm and AC = 12 cm, then ∠B is
Question 37 :
A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
