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Algebraic Expressions And Identities Quiz Question  Answer 

Multiply : $$(a^2 + b)$$ and $$ (a + b^2)$$ 
$$a^3 + a^2b^2 + ab + b^3$$ 
Multiply $$(2x + 5)$$ and $$(4x3)$$. 
$$8x^2 + 14x15$$ 
Multiply: $$a + b, 7a^2b^2$$ 
$$7a^3b^2 + 7a^2b^3$$ 
Simplify: $$5x(2x+3y)$$  $$10x^2+15xy$$ 
Evaluate using expansion of $$(a+b)^2$$ or $$(ab)^2$$ : $$(9.4)^2$$ 
88.36 
Obtain the product of: $$2, 4y, 8y^2, 16y^3$$ 
$$1024y^6$$ 
Simplify: $$(l + m)^2 4lm$$ 
$$(l m)^2$$ 
Multiply $$(52x)$$ and $$ (3 + x)$$ 
$$15x{2 x }^{ 2 }$$ 
Find the value of $$2x\times 3x^3y^2\times3y^3z^2$$ 
$$18x^4y^5z^2$$ 
Find the product of the following pairs of monomials $$4$$ & $$7p$$ 
$$28p$$ 
Comparing Quantities Quiz Question  Answer 

Cost of $$5$$ pens is Rs. $$15$$. Find the cost price of $$100$$ pens.  Rs. $$300$$ 
A share is said to be ______, if its market value is less than its face value. 
at discount 
Which option is an example of interest on interest? 
compound interest 
Which tax is paid to government for the sales of certain goods and services? 
sales tax 
If the selling price of 50 articles is equal to the cost price of 40 articles then the loss and gain percent is  20% loss 
Twothird of oneseventh of a number is $$87.5$$% of $$240$$. What is the number?  $$2205$$ 
A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee At what price per dozen should he sell them to make a profit of 20%?  Rs 6 
Tax on imports is an example of __________  Trade barrier 
The correct relationship is  $$C.I=AP$$ 
Mechanic Raj purchased a motorcycle for Rs. 20,000 and sold it at 5% loss. Its selling price is  $$Rs.\displaystyle\frac{95}{100}\times 20,000$$ 
Cubes And Cube Roots Quiz Question  Answer 

Cube of any odd number is even.  False 
Find the cube root of the following number by prime factorisation method: $$64$$ 
$$4$$ 
There is no perfect cube which ends with $$8$$.  False 
Find the cube root of the following number by prime factorisation method: $$512$$ 
$$8$$ 
$$\sqrt[3]{216}$$ is:  Equal to $$6$$ 
$$8640$$ is not a perfect cube.  True 
Cubes of negative integers are negative.  True 
Cube of all odd natural numbers are odd.  True 
Cubes of all even natural numbers are even.  True 
What is the least number by which $$8640$$ is divided, the quotient as a complete cube number?  $$5$$ 
Data Handling Quiz Question  Answer 

From the graph, find the number of tickets collected between the interval $$1416$$. 
$$20$$ 
Which is the lowest ticket collected by Judah? 
$$5$$ 
Find the total number of tickets. 
$$100$$ 
The horizontal line in a bar graph is called: 
$$x$$axis 
Which of the following are impossible events ? 
Sun rising in the West 
Histogram are a great way to show results of _________.  continuous data 
Find the total number of outcomes when a die is thrown.  $$6$$ 
The pie chart is divided into _____  sectors 
Which type of data can be represented by histogram?  Grouped data 
A coin is tossed 100 times with following frequency. Head : 25, Tail : 75 How many outcomes are possible here? 
Two 
Direct And Inverse Proportions Quiz Question  Answer  

Which is an example of inverse proportion?  More expenditure, less saving  
Which is example of inverse proportion?  Speed and time taken  
Which of the following are in inverse proportion? 
The population of a country and the area of land per person.  
Cost of 10 mangoes is Rs.The cost of 18 mangoes is__  Rs. 180  
State true or false: 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180 Hence, the parking charges are in direct proportion to the parking time. 
False  
Eight oranges can be bought for Rs $$10.40$$, then how many more oranges can be bought for Rs $$16.90$$?  $$5$$ oranges  
If $$a : b = 5 : 9$$ and $$b : c = 4 : 7$$ find $$a : b : c$$  $$20:36:63$$  

$$2$$  
Find the value of $$x$$ if $$a$$ and $$ b$$ are in direct proportion

$$28$$  
If x & y are in direct proportion then find the value of a

$$10$$ 
Exponents And Powers Quiz Question  Answer 

The value of $$\dfrac{1}{4^{2}}$$ is equal to $$16$$  True 
State true or false. $$a^{m}=\dfrac{1}{a^{m}}$$ 
True 
Simplify: $$\left(\dfrac{27}{125}\right)^{1}=$$ 
$$\left(\dfrac{5}{3}\right)^{3}$$ 
The value of $$\left (\dfrac {32}{243}\right )^{3/5}$$ is _____.  $$\dfrac {27}{8}$$ 
$$\left \{ \left (\dfrac {3}{4}\right )^{1}  \left (\dfrac {1}{4}\right )^{1}\right \}^{1} = ?$$  $$\dfrac {3}{8}$$ 
Evaluate : $$(4)^{2}$$  $$\displaystyle \frac{1}{16}$$ 
$$3^{3}$$ can also be expressed as  $$\dfrac{1}{27}$$ 
Which of the following has an exponent with negative index?  $$\dfrac {1}{3^{4}}$$ 
If the exponent of a negative integer is even then the result is a ............ integer.  Positive 
If the exponent of a negative integer is odd, then the result is a .......... integer.  negative 
Factorisation Quiz Question  Answer 

Evaluate $$(x^3 + 2x^2 + 3x) \div 2x$$ 
$$(x^2 + 2x + 3) \div 2$$ 
Factorise: $$16a^224ab$$ 
$$8a (2a 3b)$$ 
The process of finding the factors of given number (or expression) is called ...........  factorisation 
Evaluate $$(10x  25) \div 5$$  $$2x5$$ 
Factorise the following expression: $$7a^2 + 14a$$ 
$$7a(a + 2)$$ 
Factorise the following expressions: $$a x^2 y + b x y^2 + c x y z$$ 
xy(ax + by + cz) 
Factorise the expression: $$ax^2 + bx$$ 
$$x(ax + b)$$ 
Factorise the following expression: $$ 16 z + 20 z^3$$ 
$$4z( 4 + 5z^2)$$ 
Factorise the following expression: $$ 4 a^2 + 4 ab 4 ca$$ 
$$4a( a + b  c)$$ 
Factorise the following expressions. $$20l^2 m + 30 a l m = 10lm(2l+3a)$$ 
True 
Introduction To Graphs Quiz Question  Answer 

Coordinates of P are (a,b) where a is a root of the equation $$ x^{2} $$x42=0 and b is an intregral root of equation $$ x^{2} $$+ax+$$ a^{2} $$37=The coordinates of P can be 
(7,3) 
To which point the origin be shifted so that the new coordinates of $$( 7,2 )$$ would be $$(  1,3 ) =$$  $$(  8,1 )$$ 
For all values of $$a and b$$ the line $$\left(a + 2b\right) x + \left(a b\right)y + \left(a + 5b\right) = 0$$ passes through the point  $$\left(1, 2\right)$$ 
If the vertices of a triangle be (a, bc), (b, ca) and (c,ab), then the centro of the triangles lies  On yaxis 
With the help of which of the following will you describe the position of a pen on a table?  Coordinate geometry 
$$( 1,2 ) , ( 3,6 )$$ are two opposite vertices of a rectangle and if the other two vertices lie on the line $$2 y = x + c,$$ then $$c$$ and other two vertices are  $$6 , ( 4,5 ) ( 0,3 )$$ 
If A(9, 9), B(1, 3) are the ends of right angled isosceles triangle, then the third vertex is  (8, 2) 
If two vertices of a triangle are $$(4, 3), (2, 6)$$ and the centroid is the origin, then the third vertex is  $$(2, 9)$$ 
The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales (in Rs. crores) in $$2002$$ and $$2006$$. 
$$4$$ 
The patient's temperature was same for two times during the period given. These two times were: 
1 pm and 2 pm 
Linear Equations In One Variable Quiz Question  Answer 

Two numbers are in the ratio of $$6:3$$. If they differ by $$18$$, what are the numbers?  $$36, 18$$ 
Solve the following equation: $$\cfrac{3y+4}{26y}=\cfrac{2}{5}$$ 
$$8$$ 
Solve the following equation: $$\cfrac{8x3}{3x}=2$$ 
$$x = \cfrac{3}{2}$$ 
Solve the following linear equation: $$m\cfrac{m1}{2} = 1\cfrac{m2}{3}$$ 
$$m = \cfrac{7}{5}$$ 
Solve the following equation: $$\cfrac{z}{z+15}=\cfrac{4}{9}$$ 
$$12$$ 
Which of the following is the solution of the equation $$\displaystyle \frac{7y+4}{y+2}=\frac{4}{3}$$ ? 
$$\displaystyle y = \frac{4}{5}$$ 
Solve the following equation: $$\cfrac{9x}{76x}=15$$ 
$$x = \cfrac{35}{33}$$ 
Solve the following linear equation. If $$\cfrac{3t2}{4}\cfrac{2t+3}{3} = \cfrac{2}{3}t$$, then $$t $$ is equal to 
$$2$$ 
Linear equation in one variable is : 
$$3t + 5 = 9t 7$$ 
Three consecutive integers add up to $$51$$. What are these integers?  $$16, 17, 18$$ 
Mensuration Quiz Question  Answer 

$$\displaystyle \frac{1}{2}$$ (sum of parallel sides) $$\times$$ altitude is  Formula of area of trapezium 
The radius of the cylinder whose lateral surface area is $$704{cm}^{2}$$ and height $$8$$ cm is:  $$14$$ cm 
The volume of a solid is the measurement of the portion of the space occupied by it. State True or False. 
True 
The total surface area of a solid right cylinder of radius $$r$$ and height $$h$$ is $$2\pi r(h+r)$$ 
True 
If the curved surface area of a cylinder is $$1760$$ sq.cm and its base radius is $$14$$ cm, then its height is:  $$20$$ cm 
Find the surface area of a cube whose edge is $$15\ cm$$  $$1350\ {cm}^{2}$$ 
If $$l = 150 cm, b = 1 m$$ and $$h = 2 m$$ then, the volume of the cuboid is 
$$30,00,000$$ cu. cm. 
The surface area of a cube of side is $$27\ \text{cm}$$ is:  $$4374{\ \mathrm{cm}}^{2}$$ 
Volume of a cuboid whose $$l=3.5$$ m, $$b =2.5$$ m and $$h =1.5$$ m is 
$$13.125$$ cu m 
$$l \times b \times h$$ is formula of  Volume of a cuboid 
Playing With Numbers Quiz Question  Answer 

Find the largest number divisible by $$10?$$ 
$$86340$$ 
Which list shows the first five multiples of $$2$$?  $$2, 4, 6, 8, 10$$ 
The expanded form of $$72$$ is  $$10 \times 7+2$$ 
Expanded form of $$920,831$$  $$900000 + 20000 + 800 + 30 + 1$$ 
Which of the following is not divisible by $$10$$ ?  All of the above 
The numbers which are multiples of 2 are called  none of these 
If a number is divisible by 9, then it is also divisible by which number?  3 
Which of the following numbers are not divisible by $$5$$? $$30,49,75,210,305$$ 
$$49$$ 
Which of the following numbers are not divisible by $$3$$? $$42,73,84,105,314$$ 
$$314$$ 
The value of $$2$$B is  $$12$$ 
Practical Geometry Quiz Question  Answer 

Construct a quadrilateral LIFT from following data $$LI=4\ cm$$, $$IF=3\ cm$$, $$TL=2.5\ cm$$, $$LF=4.5\ cm$$, $$IT=4\ cm$$. Given below are the steps to construct quadrilateral LIFT. Arrange them in correct order 1) Point of intersection of both the arcs is point T. Mark point T and complete quadrilateral LIFT 2) Point T is 2.5 cm away from point L. Taking L as centre and 2.5 cm as radius, draw another arc 3) Point T is 4 cm away from point I. Taking I as centre and 4 cm as radius, draw first arc 4) Construct triangle ILF by using SSS condition. 
4321 
State whether the following statement is True or False We can construct a quadrilateral $$ABCD$$, if AB=$$3.6$$cm $$\angle ABD$$=$$80^o$$,$$BC=4$$cm,$$\angle BAD=120^o$$ 
False 
Which of the following do not form a quadrilateral $$ABCD$$?  $$AB = 5.8\ cm, BC = 5.5\ cm, AC = 5\ cm, DC = 5\ cm, BD = 8.5\ cm$$ 
Which of the following statement is/are correct? We can construct a quadrilateral: 
when its three angles and any two adjacent sides are given 
Is it possible to construct a rhombus with its diagonals equal to its side?  No 
Which type of quadrilateral is this. 
Rhombus 
We can construct a rhombus if its ___________ are given.  diagonals 
State whether the following statement is True or False. We cannot construct a square if only length of one side is given. 
False 
Construct a rectangle $$ABCD$$, when its sides are $$6\ \text{cm}$$ and $$7.2\ \text{cm}$$. Then, relation between diagonals $$AC$$ and $$BD$$ is: 
$$AC=BD$$ 
Which of the following statements is true for a rhombus?  Its diagonals bisect each other at right angles. 
Rational Numbers Quiz Question  Answer 

State whether the statements are true (T) or false (F). The rational numbers $$\dfrac{1}{2}$$ and $$\dfrac{5}{2}$$ are on the opposite sides of $$0$$ on the number line. 
True 
State whether the statements are true (T) or false (F). The rational numbers can be represented on the number line. 
True 
Solve following equation $$\dfrac { 3 }{ 7 } +\left( \dfrac { 6 }{ 11 } \right) +\left( \dfrac { 8 }{ 21 } \right) +\left( \dfrac { 5 }{ 22 } \right)$$ 
$$\dfrac { 125 }{ 462 }$$ 
Find multiplicative inverse of the following $$\dfrac { 5 }{ 8 } \times \dfrac { 3 }{ 7 }$$ 
$$\dfrac { 56 }{ 15 }$$ 
Name which property is used in following operation $$\dfrac { 1 }{ 2 } \times \left( 5\times \dfrac { 2 }{ 5 } \right) =\left( \dfrac { 1 }{ 2 } \times 5 \right) \times \dfrac { 2 }{ 5 }$$ 
Commutative 
Multiply $$\dfrac { 6 }{ 13 }$$ by the reciprocal of $$\dfrac { 7 }{ 16 }$$  $$\dfrac { 96 }{ 91 }$$ 
$$\displaystyle \frac{7}{5} + \left(\displaystyle \frac{2}{11} + \frac{13}{25} \right) = \left(\displaystyle \dfrac{7}{5} + \frac{2}{11} \right) + \frac{13}{25}$$ This property is 
associative 
$$x$$ is additive identity of rational numbers.Then the value of x is 
0 
For any rational number $$\dfrac {a}{b}$$, its additive inverse is ..........  $$\dfrac {a}{b}$$ 
State true or false. The three rational number between $$5$$ and $$6$$ are $$ \displaystyle\frac{21}{4},\frac{22}{4},\frac{23}{4}$$. 
True 
Squares And Square Roots Quiz Question  Answer 

The square root of $$3,90,625$$ is:  $$625$$ 
The value of $$\displaystyle {(22)} ^{ 2 } $$ is  484 
Find the square root of $$1156$$.  $$34$$ 
The square root of $$69696$$ is  $$264$$ 
The square root of $$7744$$ is  $$88$$ 
Find the square root of $$2209$$.  $$47$$ 
The square root of 5184 is: 
72 
State true or false: The number 23453 is a perfect square. 
False 
State true or false: The number 1057 is a perfect square. 
False 
State true or false: The number 22222 is a perfect square. 
False 
Understanding Quadrilaterals Quiz Question  Answer 

Polygons that have at least one of their diagonals in their exterior are called :  concave polygons 
A parallelogram with equal angles is called a ..............................  rectangle 
In a parallelogram two angles given are $$80^o$$ & $$100^o$$. They are ................angles.  adjacent 
Given here are some figures: Which one is concave polygon among $$1$$ and $$2$$? 
$$1$$ 
If each angle of a polygon is less than $$180^o$$ then it is called a ____ polygon.  convex 
Polygons that have no portions of their diagonals in their exterior are called as?  convex polygons 
State true or false: In a parallelogram, the diagonals intersect at right angles 
False 
Which of the following is not true?  both (1) and (2) 
Diagonals of a parallelogram are perpendicular to each other. Is this statement true? 
May be 
State true or false: A square has its opposite sides parallel, so, it is a parallelogram. 
True 
Visualising Solid Shapes Quiz Question  Answer 

How many faces does a coin has  $$ 2 $$ 
Which is further East, city park or the market? 
City Park 
Which is further North, the primary school or Sr. Secondary School? 
primary school 
Which is further South, the primary school or Sr. Secondary School? 
Sr. Secondary School 
There is no reference or perspective in map, i.e., objects that are closer to the observer are shown to be of the same size as those that are farther away. 
True 
How many faces does a die have  $$ 6 $$ 
How many faces does a coin have  2 
A polyhedron is said to be ______ if its surface does not intersect itself. 
convex 
What is the shape of each face of a cuboid?  Rectangular 
What type of pyramid is this, with base as regular pentagon? 
right pyramid 
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