Question 1 :
The sum of two natural numbers is 240 and their ratio is 3 : 5. Then the greater number is
Question 2 :
The sum of two natural numbers is 25 and their difference is 7. The numbers are
Question 3 :
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 4 :
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 5 :
(1000) <sup> 12 </sup> ÷ (10) <sup> 30 </sup> = ?
Question 6 :
p <sup> (-2/5) </sup> x p <sup> (2/5) </sup> = ?
Question 8 :
(ab) <sup> y-z </sup> (bc) <sup> z-x </sup> (c)<span style="font-size: 12px; line-height: 0; position: relative; vertical-align: baseline; top: -0.5em;">x-y </span>=?
Question 9 :
Solve: (x <sup> a </sup> /x <sup> b </sup> ) <sup> a+b </sup> x (x <sup> b </sup> /x <sup> c </sup> ) <sup> b+c </sup> x (x <sup> c </sup> /x <sup> a </sup> ) <sup> c+a </sup> ?
Question 11 :
Three angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is
Question 12 :
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is
Question 13 :
If PQRS is a parallelogram, then ∠Q – ∠S is equal to
Question 14 : 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 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 : 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 18 :
If the diagonals of a quadrilateral PQRS bisect each other at right angles, then the quadrilateral PQRS must be a
Question 19 :
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 20 :
The class mark of the class {tex} 90 - 120 {/tex} is
Question 21 :
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 22 :
In the class intervals {tex} 10 - 20,20 - 30 , {/tex} the number {tex}20{/tex} is included in
Question 25 :
The point which lies ony-axis at a distance of 5 units in the negative direction of y- axis is
Question 26 :
The points whose abscissa and ordinate have different signs will lie in
Question 27 :
On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
Question 28 :
Which of the following points lie on the graph of the equation : 3x-5y + 7 = 0?
Question 29 :
The length of the longest pole that can be put in a room of dimensions (10 m x 10 m x 5 m) is
Question 30 :
If the perimeter of a square is 80 cm, then its area is
Question 31 :
Area of a triangle is 30 cm<sup>2</sup>. If its base is 10 cm, then its height is
Question 32 : In the given figure, OACB is a quadrant of a circle of radius 7 cm. The perimeter of the quadrant is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3767001ce34bec8e2f00">
Question 33 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be
Question 34 :
If the area of a trapezium is 64 cm<sup>2</sup> and the distance between parallel sides is 8 cm, then sum of its parallel sides is
Question 35 : 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 36 : In the given figure, the boundary of the shaded region consists of semicircular arcs. The area of the shaded region is equal to<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%209/5f7c3769006e1e13a9a96fe1">
Question 37 :
The perimeter of a square grassy plot is 122 m. What is the cost of cutting the grass at ₹4 per sq meter?
Question 38 :
If the ratio of areas of two squares is 9 : 1, What is the ratio of their perimeters?
Question 39 :
If each side of a Cube is doubled. What is its Volume?
