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The perimeter of the rectangular swimming pool is $154m$. Its length is $2m$ more than twice its breadth. What is the length and breadth of the rectangular swimming pool?

A man earns rupees 5800 in 10 days how much will he earn in the month of February of a leap year?

Which of the following cannot be written as a mixed fraction?

Consider the statement: Ratio of breadth and length of a hall is 2: 5. Complete the following table that shows some possible breadths and lengths of the hall.

$\begin{array}{cccc}\text{Breadth of hall(in meters)}& 10& \square & 40\\ \text{Length of the hall (in meters)}& 25& 50& \square \end{array}$

$If=\frac{a-x}{a}+\frac{2a-x}{a}=\frac{3a-x}{3a},xequals$

Statement 1: Bar Graph is a graph of rectangles representing the categories of data.

Statement 2: Width of the rectangles gives us the quantity of data we are interested in.

In the given frequency distribution, median term(s) is/are ______.
$\begin{array}{cc}Ageinyears& Numberofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

Two dice are rolled simultaneously. The probability of getting the total ( sum ) of the numbers as 13 = ___

___ should be added to $-7$ so that you will get zero as the answer.

After finishing $\frac{1}{4}$ of my journey, I find that I have covered 12 km. How much journey is still left?

Find the number of lines of symmetry in the following shapes.

In the figure below, lines AB and CD intersect each other at point O. Angles ($\angle$ AOD, $\angle$ COB) and ($\angle$ AOC, $\angle$ BOD) are called ___.

In the adjoining figure, the angles AOC and COB are ______ angles.

Find the angle x in the given figure.
[2 MARKS]

5.01 - P = 3.6. What is the value of P?

The value of $(100-10.1)-5.9$ is ____.

$\pi$ is the ratio of circumference to __ of the circle.

Express 250 as the product of exponents through prime factorization.

Solve the following

1. -5(a-3)-2(a+5)=7-9a

2. m/7+1/3= m/6+5/4

3. 2a/3-4/5=-3/4+1

Statements: H # I, I J, J $ P

Conclusions:

a) H # P

b) H # J

Write the next three numbers in the given pattern
12, 23, 34, ___, ___, ___

46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90.
In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?

What is the normal range of the human body temperature?

The following bar graph shows the favourite colours of 20 students of a class.

From the graph, it can be inferred that

Alphabet 'A' has __________ line of symmetry.

Question 63

$4\times {10}^5+3\times {10}^4+2\times {10}^3+1\times {10}^0=432010$

Question 1

20 % of 700 m is
(a) 560 m
(b) 70 m
(c) 210 m
(d) 140 m

Sort the following expressions in increasing order of the number of terms present.

In the figure, ray OC stands on the line AB and $\angle BOC:\angle AOC=2:7$. Find the angles $\angle AOC$ and $\angle BOC$. [3 MARKS]

If an SUV can transport 7 people, a car can transport 5, a jeep can transport 8 and an auto can transport 2 people, which of the following combinations can be used to exactly transport 25 people?

1. 2

Find the length of the unknown side of the given triangle

Simplify $m^5\times m^6$​​​​​​

Increase

90 by 2%

Find the product:

$\frac{-6}{5}\times \frac{9}{11}$

Question 45

Fill in the blanks to make the statement true.

If 10 less than a number is 65, then the number is ..............

Question 94 (e)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$ find
The reciprocal of x + y.

Question 14

Out of the four options, only one is correct. Write the correct answer.

The value of $3x^2-5x+3,$ when x = 1 is

(a) 1
(b) 0
(c) -1
(d) 11

1. 7.5

how to subtract 5ab from 11ab.

$If3x^2+4xy+2y^2+x-8=0thenthevalueof\frac{dy}{dx}at(-1,3)is$