Question 1 :
A certain distance is covered at a certain speed. If half of the distance is covered in double time, then find the ratio of the two speeds.
Question 2 :
The number of (unlike) terms in the expression 3xy<sup>2</sup> + 2y<sup>2</sup>z – y<sup>2</sup>x + y(xz + yz) – 5<br/>
Question 4 :
The algebraic expression for the statement ‘Thrice square of a number x subtracted from five times the sum of y and 2’ is<br/>
Question 6 :
On the number line, the value of (-3) × 3 lies on the right hand side of<br/>
Question 7 :
If the integers 10, -7, 5, 3, -4 and 0 are marked on the number line, then the integer which lies on the extreme left is<br/>
Question 8 :
The next number in the pattern -62, -37, -12, ……. is<br/>
Question 13 :
The multiplicative inverse of {tex}\frac { -4 }{ 9 }{/tex} is<br/>
Question 14 :
The sum of rational number {tex}\frac { -1 }{ 3 }{/tex} and its reciprocal is<br/>
Question 15 :
The sum of two rational numbers is -1. If one of them is {tex}\frac { -5 }{ 7 }{/tex}, then the other is<br/>
Question 18 :
The law {tex}\left( \frac { a }{ b } \right) ^{ n }=\frac { { a }^{ n } }{ b^{ n } }{/tex} does not hold when<br/>
Question 20 :
The value of {tex} \frac {10 ^ {22} + 10 ^ {20}}{10 ^ {20}} {/tex} is
Question 22 :
The value of (5<sup>30</sup> × 5<sup>20</sup>) ÷ (5<sup>5</sup>)<sup>9</sup> in the exponential form is<br/>
Question 25 : 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 26 :
If ∆ABC ≅ ∆PQR and ∠CAB = 65°, then ∠RPQ is<br/>
Question 27 : 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 28 : 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 29 :
If the height of a parallelogram is doubled and base tripled, then its area becomes<br/>
Question 30 :
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometre?
Question 31 :
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 32 :
If the ratio of the radii of two circles is 3 : 5, then the ratio of their areas is<br/>
Question 33 :
If the perimeter of a square is 24 cm, then its area is<br/>
Question 34 :
The perimeter of a semicircle (including its diameter) of radius 7 cm is<br/>
Question 35 :
If the area of a circle is numerically equal to its circumference, then the radius of the circle is<br/>
Question 38 :
The price of a chair is reduced by 25%. What is the ratio of: Old price to the new price.
Question 39 :
If x is 30% more than y; find : {tex}\frac{y}{y-x} {/tex}
Question 40 :
If x is 30% more than y; find : {tex}\frac{y+x}{y} {/tex}
Question 43 :
Given below are two sets {tex} \mathrm{A} {/tex} and {tex} \mathrm{B} {/tex} : {tex}\mathrm{A}=\{1,2,3,4,5\}, \quad \mathrm{B}=\{1,2,3\} {/tex}<br>Which of the following is true?<br>{tex} A=B {/tex}
Question 44 :
It is given that: {tex} \mathrm{H}=\{x: x {/tex} is a rational number. {tex} \} {/tex}<br>and {tex} \mathrm{K}=\{x: x {/tex} is an integer.}<br>Then,{tex} \mathrm{K} \subset \mathrm{H} {/tex} or {tex} \mathrm{H} \subset \mathrm{K} {/tex}
Question 45 :
The tabular form for the statement ‘Days of the week starting with the letter T’ will be<br/>
Question 46 :
If A = {x | x is a positive mutliple of 3 less than 20} and B = {x | x is a prime number less than 20}, then n(A) + n(B) is<br/>
Question 47 :
State whether each of the following statements is true (T) or false (F). <br>{tex} \{\phi\} {/tex} is an empty set<br>
Question 48 :
Are the following pairs of angles supplementary? {tex}\frac{3}{10}{/tex} of a right angle and {tex}\frac{4}{15}{/tex} of two right angles of a right angle
Question 49 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}10 and {tex}\angle{/tex}12<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fca0aa673c7db388f947d3e" />
Question 50 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}1 and {tex}\angle{/tex}4<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fca0a9e73c7db388f947d33" />
Question 51 :
Are the following complementary angles: 54{tex}^{\circ}{/tex} and {tex} \frac{2}{5}{/tex} of a right angle
Question 52 : In the following figure, ∠AOB and ∠AOC are adjacent angles<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fca0a6d24dfbd76cb156284" />
Question 53 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}7 and {tex}\angle{/tex}13<br /><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fca0aa673c7db388f947d3e" />
Question 55 :
The numerator of a fraction is four less than its denominator. If 1 is added to both, is numerator and denominator, the fraction becomes {tex} \frac{1}{2} {/tex}. Find the numerator of the fraction.
Question 56 :
The value of p for which the expressions p – 13 and 2p + 1 become equal is<br/>
Question 57 :
If the length of a rectangle is twice its breadth and its perimeter is 120 m, then its length is<br/>
Question 58 :
If the difference of two complementary angles is 10°, then the smaller angle is<br/>
Question 60 :
The solution of which of the following equations is neither an integer nor a fraction?<br/>
