Question 1 :
The integer that must be subtracted from -5 to obtain -12 is<br/>
Question 7 :
Which of the following integers between -5 and 5, which are divisible by 2 or 3.
Question 12 :
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 13 :
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 14 : The number of sides in a pattern having 3 hexagons arranged in a row as shown in the given figure is<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5ef1b055778cae265616982a"/><br/>
Question 15 :
The value of the expression {tex}\frac { 5 }{ 3 }{/tex} x<sup>2</sup> + 1 when x = -2 is<br/>
Question 17 :
The degree of the polynomial 3x<sup>3</sup>y – 5xy<sup>4</sup> – 2x + 1 is<br/>
Question 19 :
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 21 :
The additive inverse of {tex}\frac { -7 }{ 12 }{/tex} is<br/>
Question 22 :
The product of rational number {tex}\frac { -2 }{ 3 }{/tex} and its additive inverse is<br/>
Question 23 :
The sum of two rational numbers is -1. If one of them is {tex}\frac { -5 }{ 7 }{/tex}, then the other is<br/>
Question 24 :
The sum of rational number {tex}\frac { -1 }{ 3 }{/tex} and its reciprocal is<br/>
Question 25 :
The rational number {tex}\frac { 110 }{ -132 }{/tex} when reduced to standard form is<br/>
Question 27 :
The multiplicative inverse of {tex}\frac { -4 }{ 9 }{/tex} is<br/>
Question 29 :
In the standard form of a rational number, the denominator is always<br/>
Question 30 :
The reciprocal of the rational number -2{tex}\frac { 3 }{ 7 }{/tex} is<br/>
Question 32 :
A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together?
Question 33 :
A can do a piece of work in 4 days and B can do the same work in 5 days. What part of work will be left, after they have worked together for 2 days?
Question 34 :
In 2 days and 20 hours, a watch gains 20 sec; find how much time will the watch take to gain 35 sec?
Question 35 :
If 3, 12 and x are in continued proportion, then x is<br/>
Question 37 :
A can do a piece of work in 4 days and B can do the same work in 5 days. Find, how much work can be done by them working together in one day
Question 38 :
The ratio of number of girls to the number of boys in a class is 6 : 7. If there are 21 boys in the class, then the number of girls in the class is<br/>
Question 39 :
In a class of 35 students, the number of girls is 20. The ratio of number of boys to the number of girls in the class is<br/>
Question 40 :
Sonali bought one dozen notebooks for ₹ 66. What did she pay for one notebook?<br/>
Question 42 : In Fig. , line {tex} \mathrm{AB} \| {/tex} line {tex} \mathrm{CD} {/tex} and line {tex} \mathrm{CD} \| {/tex} line {tex} \mathrm{EF} {/tex}. Then line {tex} \mathrm{AB} \| {/tex} line EF? <br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a4cfdba5935f6cc6eefb"><br>
Question 43 :
Write the complement of each of the following angles:<br>{tex} 45^{\circ} 45^{\prime} {/tex}<br>
Question 45 :
Write the complement of each of the following angles:<br>{tex} (x+15)^{\circ} {/tex}<br>
Question 46 : The order of the rotational symmetry in the given figure is<br/>
<img style='object-fit:contain' src="5ef1b0666150ce6eb5a1482a"/>
Question 49 : The following figure has two lines of symmetry and a rotational.<br><img style='object-fit:contain' src="5fca0c1fc245df6f00ca244e" />
Question 50 : The figure which does not have both reflection and rotational symmetry is<br/> <img style='object-fit:contain' src="5ef1b066819305523f232adf"/><br/>
Question 51 : The following figure has two lines of symmetry and a rotational.<br><img style='object-fit:contain' src="5fca0c1e24dfbd76cb1562fb" />
Question 52 : The following figure has two lines of symmetry and a rotational.<br><img style='object-fit:contain' src="5fca0c2024dfbd76cb1562fe" />
Question 53 :
Rotating a figure by 60° anticlockwise is equivalent to a clockwise rotation of<br/>
Question 54 :
A figure having 1 line of symmetry and whose order of rotational symmetry is also 1 is<br/>
Question 56 :
A triangle formed by the sides of lengths 4.5 cm, 6 cm, and 4.5 cm is<br/>
Question 57 :
State true or false if a triangle is possible with the following angles : {tex}130\degree,\ 40\degree,\ 20\degree{/tex}
Question 60 :
If p, q, and r are the lengths of the three sides of a triangle, then which of the following statements is correct?<br/>
Question 61 :
A triangle is not possible with sides of lengths (in cm)<br/>
Question 62 :
If the angles of a triangle are 35°, 35°, and 110°, then it is<br/>
Question 63 :
In a right-angled triangle, the lengths of two leg’s are 6 cm and 8 cm. The length of the hypotenuse is<br/>
Question 64 :
In a ∆ABC, if ∠A = 40° and ∠B = 55° then ∠C is<br/>
Question 66 :
If in an isosceles triangle, each of the base angles is 40°, then the triangle is<br/>
Question 67 :
An exterior angle of a triangle is 125°. If one of the two interior opposite angles is 55° then the other interior opposite angle is<br/>
Question 68 : 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="5fb7a62e36712b7fea88c56a"><br>
Question 69 : The two triangles shown in the given figure are:<br/>
<img style='object-fit:contain' src="5ef1b0626150ce6eb5a14824"/>
Question 70 : 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="5fb7a6302282923f071faf3a"><br>
Question 71 : In the given figure, ∆ABC = ∆PQR. The values of x and y are:<br/>
<img style='object-fit:contain' src="5ef1b0636150ce6eb5a14825"/>
Question 72 : 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="5ef1b0616150ce6eb5a14820"/>
Question 74 : In the given figure, M is the mid-point of both AC and BD. Then<br/>
<img style='object-fit:contain' src="5ef1b0616150ce6eb5a14821"/>
Question 75 : In the given figure, ∆PQR ≅ ∆STU. What is the length of TU?<br/>
<img style='object-fit:contain' src="5ef1b0626150ce6eb5a14822"/>
Question 76 :
If ∠D = ∠P, ∠E = ∠Q and DE = PQ, then ∆DEF ≅ ∆PQR, by the congruence rule<br/>
Question 77 : 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="5ef1b0626150ce6eb5a14823"/>
Question 78 :
If the ratio of the radii of two circles is 2:3 then the ratio of their circumferences is<br/>
Question 79 :
The perimeters of two squares are in the ratio 8:15, find the ratio between the lengths of their sides.
Question 80 :
If the height of a parallelogram is doubled and base tripled, then its area becomes<br/>
Question 82 :
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 83 :
If the ratio of the radii of two circles is 3 : 5, then the ratio of their areas is<br/>
Question 84 :
The ratio of circumference to the area of a circle of radius r units is<br/>
Question 85 :
If the base of a triangle is doubled and its height is halved, then the area of the resulting triangle<br/>
Question 86 :
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 87 :
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm, then the radius of the circle is<br/>
Question 88 :
The probability of selecting letter G from the word GIRL is<br/>
Question 89 :
Which of the following is not a central tendency of a data?<br/>
Question 90 :
If the mean of 3, 1, 5, x and 9 is 4, then the value of x is<br/>
Question 91 :
A bag contains 5 white balls and 10 black balls. The probability of drawing a white ball from the bag is<br/>
Question 92 :
When a die is thrown, the probability of getting a composite number is<br/>
Question 94 :
A cricketer scored 38, 79, 25, 52, 0, 8, 100 runs in seven innings. The range of the runs scored is<br/>
Question 96 :
In a school, only 2 out of 5 students can participate in a quiz. What is the probability that a student picked at random makes it to the competition?<br/>
Question 97 :
The probability of selecting a vowel from the word ALPHABET is<br/>
Question 101 :
Shruti reads a novel for 1{tex}\frac { 3 }{ 4 }{/tex} hours daily, if she reads the entire novel in 6 days, then the time she takes to read the entire novel is<br/>
Question 102 :
If the cost of 1 kg almonds is ₹ 460, then the cost of {tex}\frac { 2 }{ 5 }{/tex} kg of almonds is<br/>
Question 104 :
a × a × a × b × b × b is equal to<br/>
Question 106 :
If 2<sup>3</sup> + 1<sup>3</sup> = 3<sup>x</sup>, then the value of x is<br/>
Question 108 :
The law {tex}\left( \frac { a }{ b } \right) ^{ n }=\frac { { a }^{ n } }{ b^{ n } }{/tex} does not hold when<br/>
Question 111 :
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 113 :
The price of a chair is reduced by 25%. What is the ratio of: Old price to the new price.
Question 114 :
On selling an article for ₹ 100, Renu gains ₹ 20. Her gain percentage is<br/>
Question 115 :
The ratio of Fatima’s income to her saving is 4 : 1. The percentage of money saved by her is<br/>
Question 117 :
If 30% of x is 72, then x is equal to<br/>
Question 124 :
Which of the following is not a linear equation in one variable?<br/>
Question 126 :
If x ∈ W, the solution set of the inequation -2 ≤ x < 3 is<br/>
Question 128 :
The solution of the equation {tex}\frac { 1 }{ 3 }{/tex}(2y – 1) = 3 is<br/>
Question 130 :
Solve the following equations and also check the solutions:<br>{tex} \frac{5}{3} z-\left(3-\frac{8}{3} z\right)=10-\left\{\frac{5}{3} z-\left(15+\frac{10}{3} z\right)\right\} {/tex}<br>
Question 132 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}6 and {tex}\angle{/tex}7<br /><img style='object-fit:contain' src="5fca0aa673c7db388f947d3e" />
Question 133 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}4 and{tex}\angle{/tex}6<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 134 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}4 and {tex}\angle{/tex}7<br /><img style='object-fit:contain' src="5fca0aa673c7db388f947d3e" />
Question 137 :
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 138 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}5 and {tex}\angle{/tex}7<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 139 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}1 and {tex}\angle{/tex}5<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 140 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}2 and {tex}\angle{/tex}4<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 141 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}1 and {tex}\angle{/tex}8<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 142 : In question given below, identify the given pairs of angles : {tex}\angle{/tex}2 and {tex}\angle{/tex}7<br /><img style='object-fit:contain' src="5fca0a9e73c7db388f947d33" />
Question 145 :
Find the supplement of the following angles : (x + 35){tex}^{\circ}{/tex}
Question 146 :
An infinite number of straight lines can be drawn through a given point.
Question 147 : In the given figure, if l || m then the value of x is<br/>
<img style='object-fit:contain' src="5ef1b05b0532c527385d62d6"/>
Question 149 : In the given figure, PA || BC || DQ and AB || DC. Then the values of x and y are respectively:<br/>
<img style='object-fit:contain' src="5ef1b05c778cae265616983b"/>
Question 150 :
If one angle of a linear pair is acute, then the other angle is<br/>
