Question 1 :
In ∆ABC and ∆PQR, BC = QR and ∠C = ∠R. To establish ∆ABC ≅ ∆PQR by SAS congruence rule, the additional information required is<br/>
Question 2 : The two triangles shown in the given figure are:<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0626150ce6eb5a14824"/>
Question 3 :
If ∆ABC ≅ ∆PQR and ∠CAB = 65°, then ∠RPQ is<br/>
Question 4 :
If ∠D = ∠P, ∠E = ∠Q and DE = PQ, then ∆DEF ≅ ∆PQR, by the congruence rule<br/>
Question 5 : In the given figure, M is the mid-point of both AC and BD. Then<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0616150ce6eb5a14821"/>
Question 7 : If, for each of the pairs of triangles sketched in the figure given below, like markings indicate congruent parts, name the congruence condition (SAS, SSS, ASA, RHS), if any, which will prove the two triangles of a pair congruent.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a62e36712b7fea88c56a"><br>
Question 8 : In the adjoining figure, {tex} \Delta \mathrm{ABC} {/tex} is an isosceles triangle with {tex} \mathrm{AB} \cong \mathrm{AC} . \mathrm{D} {/tex} is the mid-point of {tex} \mathrm{BC} {/tex} Then{tex} \Delta \mathrm{ADB} \cong \Delta \mathrm{ADC} {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a6302282923f071faf3a"><br>
Question 9 :
Which one of the following is not a standard criterion of congruency of two triangles?<br/>
Question 10 : In the given figure, ∆ABC and ∆DBC are on the same base BC. If AB = DC and AC = DB, then which of the following statement is correct?<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0626150ce6eb5a14823"/>
Question 11 : In the given figure, ∆ABC = ∆PQR. The values of x and y are:<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0636150ce6eb5a14825"/>
Question 12 : In the given figure, the lengths of the sides of two triangles are given. The correct statement is<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b0616150ce6eb5a14820"/>
Question 13 :
If the ratio of the radii of two circles is 3 : 5, then the ratio of their areas is<br/>
Question 14 :
The perimeters of two squares are in the ratio 8:15, find the ratio between the lengths of their sides.
Question 15 : Two circles are drawn inside a bigger circle with diameters {tex} \frac{2}{3} \mathrm{rd} {/tex} and {tex} \frac{1}{3} {/tex} rd of the diameter of the bigger circle (Fig. ). Find the area of the shaded portion, if the diameter of the bigger circle is {tex} 18 \mathrm{~cm} {/tex}.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a63336712b7fea88c571"><br>
Question 16 :
The perimeter of a semicircle (including its diameter) of radius 7 cm is<br/>
Question 17 :
The area of an equilateral triangle with side {tex} ^{\prime} 2 a^{\prime} \mathrm{cm} {/tex} is {tex} \sqrt{3} a^{2} {/tex} sq {tex} \mathrm{cm} {/tex}
Question 18 :
If the area of a parallelogram is 54 cm<sup>2</sup> and the length of one side is 7.5 cm, then the corresponding height is<br/>
Question 19 :
The circumferences of two circles are in the ratio 5 : 7, find the ratio between their radii.
Question 20 :
Aslam has a rectangular field of length {tex} 60 \mathrm{~m} {/tex} and a square field of side {tex} 50 \mathrm{~m} {/tex}. Both these fields have the same perimeter. If in both the fields he plants a mango tree in each one square metre, find the ratio of the number of trees planted in the two fields.
Question 21 :
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometre?
Question 22 :
The ratio of circumference to the area of a circle of radius r units is<br/>
Question 23 :
If the ratio of the radii of two circles is 2:3 then the ratio of their circumferences is<br/>
Question 24 :
The lengths of the sides of two squares are in the ratio 8:15, find the ratio between their perimeters.
Question 25 :
If the base of a triangle is doubled and its height is halved, then the area of the resulting triangle<br/>
Question 26 :
The radii of two circles are in the ratio 3 : 5, find the ratio between their circumferences.
Question 27 :
If the area of a circle is numerically equal to its circumference, then the radius of the circle is<br/>
Question 28 :
Find the area (A) and the perimeter (P) of the rectangle whose dimensions are as follows:<br>{tex} l=2.2 \mathrm{~m}, b=0.1 \mathrm{~m} {/tex}<br>
Question 32 :
If x is 30% more than y; find : {tex}\frac{y}{y-x} {/tex}
Question 33 :
A class has 30 boys and 25 girls. What is the percentage of boys in the class?
Question 34 :
The simple interest on ₹ 6000 at 8% p.a. for one year is<br/>
Question 37 :
The salary of a man is ₹ 24000 per month. If he gets an increase of 25% in the salary, then the new salary per month is<br/>
Question 38 :
The cost price of an article is 96% of its selling price. Find the loss or the gain as a percent on the whole.
Question 40 :
If x is 20% less than y, find :{tex} \frac{y-x}{y} {/tex}
Question 41 :
a × a × a × b × b × b is equal to<br/>
Question 44 :
If 2<sup>3</sup> + 1<sup>3</sup> = 3<sup>x</sup>, then the value of x is<br/>
Question 49 :
The value of {tex} \frac {10 ^ {22} + 10 ^ {20}}{10 ^ {20}} {/tex} is
Question 50 :
The value of (5<sup>30</sup> × 5<sup>20</sup>) ÷ (5<sup>5</sup>)<sup>9</sup> in the exponential form is<br/>
