sometimes when we get the area of a triangle or a quadrilateral, we get the answer in roots.

so should we take an approximate value of the root to get an approximate anwer.

How to answer the following question?rnrnQ) There are two boxes. Which box requires the lesser amount of material to make? The measurements are as belowrna) height 30 cm, width 80 cm and length 10 cmrnb) height 20 cm,

How to answer the following question?rnAmir starts walking from his house to office. Instead of going to the office directly, he goes to the bank first, from there to his daughter's school and then reaches the office. What

How to answer the following attached question?

How to answer the following attached question?

How to answer the following question?

Ramesh is a cashier at Canara Bank. He has notes of denominations of Rs 100. 50 and 10 respectively. The ratio of the number of these notes are is  2: 3: 5 respectively.

in this test how is the answer for the question: what is the probability of a coin getting tail and the answer came 1 i nstead of  the correct answer 1/2

7/5 is the correct answer of this question but I don't know how to get it can you please show the step by step method to get the final

Iam attaching the question below

7/5 is the correct answer of this question but I don't know how to get it can you please show the step by step method to get the final

Iam attaching the question below

Good Evening teacher,

In Vedic Maths, adding time, at the last 1.35+3.55=490 and the last 2 digits greater than 60 we added 40 and we got the answer 530. My question how do we get "40" ?

Abhijith C J

Consider the arithamatic sequence numbers 171,167,163 a) 0 is term this sequence justify b) how many positive terms at in the sequence

Show graphically that this system equation 2 X + 3 y is equal to 10, 4x+ 6yis equal to 12. has no solution

## Is zero (0) a rational number ? justify your answer ?

Yes, zero is a rational number

zero can be expressed as      etc

which are in the form of,   where p and q are integers and q  0.

## is not a rational number as   and are not rational. State whether it is true or false. Justify your answer.

false

justification  :

Which is a rational number

## Does the following equation x = 5y represent a straight line passing through a point  (0,0)

Given equation  x= 5y

The point  (0, 0 )  statifies the given equation, hence answer is yes .

## Write the equations of lines p and r in the given graph  A student answered the equation of a line q as x+ y  = 1. Did he answer correctly? Also, find the area of lines enclosed between p,q and r. Equation of p is  x = -1

Equation of r is y = -2

Yes, the equation of q is

x+y = 1

Area   =  Sq. units

## Find HCF and LCM of  16 and 36 by prime fatorization

16 =  2 x 2 x 2 x 2 = 24

36 = 2 x 2 x 3 x 3 = 22 x 32

HCF  (16,36)  = 2 x 2

= 4

LCM (16, 36) = 24 x 32

= 16 x 9

= 144

We can check HCF and LCM are correct  or wrong by using formula

HCF (a,b)  x LCM  (a,b ) = Product of the numbers

= a x b

Prduct of the HCF and LCM should be equal product of the numbers.

## State fundamental theorem of Arithmetic. Is it possible that HCF and LCM of two numbers be 24 and 540 respectively ? Justify your answer.

The fundamental theorem of Arithmetic: Every composite number can be expressed as a product of primes and decomposition is unique, apart from the order in which the prime factors occur.

HCF  = 24

LCM = 540

Lets, calculate   not an integer

Since LCM is always a multiple of HCF, Hence two numbers cannot have HCF and LCM as 24 and 540 respectively.

## In which the quadrant or on which axis do the points  (-2,4), (2,4), (0,-2) and  (4,-6) lie ? verify your Answer by locating them on the Cartesian plane.

The given points are  : (-2,4) = A

(2,4) = B

(0,-2) = C

(4,-6) = D

The point A will lie in III quadrant

The point B will lie in I quadrant

The point C will lie in y-axis  (i.e, x = 0)

The point D will lie in IV quadrant

Verification : After plotting these points on Cartesian plane, We find that point A is lying in III quadrant, B is lying in I quadrant, C is in the negative direction of y-axis and D is in IV quadrant.

## Does the following equation x = 5y represent a straight line passing through the point (0,0)

Given equation x = 5y

The point (0,0) satisfies the given equation, hence answer is yes.

## Is the system of linear equations 2x+3y-9 = 0 and 4x+6y-18 = 0 consistent ? Justify  your answer

Yes, it is consistent. We have, for the equation

2x + 3y - 9 = 0

and

and for the equation,  4x + 6y -18 = 0

Here

and

It is clear that

## From the given figure answer the following : i. write the points whose abscissa is 0 ii. write the points whose ordinate is 0. iii. write the points whose abscissa is  - 5.

(i) Required points are A(0,3) and L(0,-4)

(ii) Required points are G (5,0) and I (-2,0)

(iii) Required points are D (-5,1) and H(-5,-3)

## Which of the following statements are true and which are false? Give reasons for your answer. (i) Only one line can pass through a single point  (ii) There are an infinite number of lines which pass through two distinct points. (iii) If two circles are equal, then their radii are equal  (iv) In the given figure if AB = PQ and PQ = XY, then AB =  XY.

(i)  False: Because infinitely many lines can pass through a single point

(ii) False: Because only one line can pass through two distinct points

(iii) True: Two circles are equal if :

(a) their circumference are equal, or

(iv) True: Things which are equal to the same thing are equal to one another (Euclid's axioms)

## Rehman and prakash contributed equal amount towards Prime minister's Relief fund. Prakash and rahul contributed equal amount towards prime ministers relief  fund. If rahul contributed Rs. 500 how much Rehman contributed ? What value they all are exhibiting by doing so?  Which euclid axiom help in reaching the correct answer ? state any one more euclid postulates?

Concerned, caring. Things equal to same things are equal to one another

Reman contributed  =  Rs. 500

All right angles are, equal to one another

Any postulate of euclid can be stated.

P(E) + P(E) = 1

## From the given figure answer the following: (i) Write the points whose abscissa is 0 (ii) Write the points whose ordinates 0. (iii) Write the points whose abscissa is -5.

(i)  Required points are A(0,3) and L (0,-4)

(ii) Required points are G (5,0) and L (-2,0)

(iii) Required points are D (-5,1) and H (-5,-3)

## In which quadrant or on which axis do each of the points (-2,4) (3,-1) (-1,0) (-3,-5) and  (1,2) lie? verify your answer by locating them on the Cartesian plane.

(i) The point (-2,4) lies in the II quadrant

(ii) The point (3,-1) lie in the IV quadrant

(iii) The point (-1,0) lies on the negative x-axis

(iv) The point (-3,-5) lies in the III quadrant

(v) The point (1,2) lies in the I quadrant

Location of these points is shown in the figure.

These the points are respectively represented by A,B,C,D and E, which clearly verify their location. ## Given below is a pie chart showing the time spent by a group of 350 children in different games,. Observe it and answer the questions: a. How many children spend more than 2 hours in playing game  b. How many children spend at least 1 hour playing games.

a. No. of children who  spend more than 2 hours in playing game = ## A survey was carried out to find the favorite drink preffered by a group of young people. from this pie chart answer the following questions: a. Which type of beverage is liked by the maximum number of people b. If 45 people like ea then, ow many people were surveyed. c.Find te no.of people who like the coffee.

a. Cold drink is being liked by max people

b. Let the hotal no.of people for survey = x

c. No.of people who like coffee

## Find the product : (i)   (2x+5) (4x-3)  (iii) (t+s2) (t2 + s)                                   OR  Find :  a, Add: 2x (z-x-y)  and 2y(z-y-x) b.Substract : 31 (1-4m+5n) from 41 (10n-3m+21)

(i)

(ii)

or

(i)

(ii) For removing brackets

For the correct answer 5l2 + 25ln

## A road roller takes 750 complete revolutions to move over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1m. OR The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

For r = 42 cm = 0.42 cm

For corrcect formula

Area of covered in one revolution = 2.64m2.

Area covered in 750 revolutions  = 1980 m2

OR

For correct formula

Dor subscription of values

For substitution of values

For correct answer b = 7 cm

## Find the value of m for which

For simplification m +3 = 5

For correct answer = m =2

## Divide :  (i)   (ii)

(i) For taking 3 common

(ii)  For factorization of

12

6

## Read the following understand the mathematical idea expressed in it and answer the questions that follow :  1,4,9,16,............ are the squares of the counting numbers. The remainders got by dividing the square numbers with natural numbers  have a cyclic property. For example, the remainders on dividing these numbers by 4 are tabulated here. Number       1      4      9        16      25      -          -        - Remainder   1      0      1         0        1       -          -        - On dividing by 4 perfect squares leave only 0 and 1 as remainders. From this we can conclude that an arithmetic sequence whose terms leaves remainders 2 on divideing by 4do not have a perfect square. a. Which are the possible remainders on dividing any number with 4? b. Which are the numbers we would not get on dividing a perfect square by 4? c. What is the remainder that leaves on dividing the terms of the arithmetic sequence      2,5,8,11,............ by 4? d. Does the arithmetic sequence 3,7,11,..............contain perfect squares? e. Write a sequence with common differnce 4 which contains many perfect squares?

a. 0, 1 and 3.

b. 2 and  3.

c. 2, 1, 0 and 3.

d. No, 3,7,11,...... is divided by 4 we get the remainder 3. When we dividing the perfect square          by 4, we get the remainder 0 and 1.

e. 4,8,12,16.................

## In the figure, PQRS is a rhombus. Its diagonal meet at O. The midpoints of OP, OQ, OR and OS are joined to get the quadrilateral ABCD. a. Write the suitable name of the quarilateral ABCD. Justify your answer. b. If PR = 12 cm, QS =8 cm, then what is the area of PQRS? c. What is the area of the quadrilateral ABCD? a. Name of the quadrilateral ABCD be a Rhombus.

All the sides are equal

b. Given, PR = 12 cm, QS = 8 cm

The area of the rhombus PQRS =  (formula)

c. PR = 12; AC = 12/2 = 6 cm (d1)

QS = 8; BD  =  8/2 = 4 cm (d2)

The areas of the quadrilateral ABCD (rhombus)