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If $x_1:y_1$ and $x_2:y_2$ are in direct proportion, then:

The number of trees planted by NGO D in state B in the year 2007 is approximately what percentage of the number of trees planted by NGO A in state A in the year 2009?

A fraction $\frac{a}{b}$ is said to be in it's simplest form if the HCF of $a$ and $b$ is

Let's say a thief is running on a train with 12km/hr the police car is moving with 80km/hr if the speed of the train is 60km/hr what is the speed of the thief w. r. t police car

Find the value of
$-13+(-69)+57-(-89)-(53+(-49\left)\right)$

Draw the circumcircle of a triangle with sides 6 cm, 8 cm and 10 cm. What is the radius of this circle?

Prove that any one of the three consecutive integets n , n+1 , n+2 is divisible by 3

Write two integers, which are smaller than $-5$ but their difference is $-5$.

Question 84

In the given figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.

Question 28
Which of the following 3 - dimensional figures has the top, side and front as triangles?

a)

b)

c)

d)

From a circular pizza, Rohan takes out a quarter of it by making two cuts along its radius. And then Krishna took half of the remaining by making a cut along the radius. What is the angle subtended at the centre by the leftover pizza?

The region shaded in blue is called a ___ of the circle.

The minimum number of triangles that can be drawn if two sides and one angle has been given is __.

For vacation, Ted was going to a hill station. When he started, he checked the Odometer of his dad’s car. The reading was 1111.22 km. After the journey, the reading was 1342.56 km. How many metres did Ted travel?

A plane is flying at 5500m. A submarine is floating 3500m below the sea level. What is the distance between them in km

One of the factors of $(a^2-b^2)(c^2-d^2)-4abcd$ is:

$\sqrt{\frac{0.289}{0.00121}}=?$

Arnold ate 1/4 pizza for dinner on Monday. He ate 1/6 of what was left on Tuesday. How much pizza did he eat on Tuesday

The recurring decimal number among 4.1765,5.66666...,7.1212125 and 3.14 is

Question 1 (ii)
Which is greater:
0.7 or 0.5

$\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}+\frac{1}{2^6}+\frac{1}{2^7}+\frac{1}{2^8}+\frac{1}{2^9}$=___

Question 6(i)
Set up an equation in the following case:
Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)

Question 58

Fill in the blanks to make the statement true.

Every triangle has at least ___ acute angle (s).

A wire is in the shape of rectangle its length is $40cm$ and breadth is $22cm$. If the same wire is given the shape of square what will be the measure of each side? Also find which rectangular or square encloses more area.

A closed figure which has three sides is called a

I have 14 apples with me of which ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my wife.

Enter the total number of apples which are left with me. ___

Michael appeared in an examination and obtained the following marks out of 100.

$$\begin{array}{cc}\text{Name}& \text{Michael}\\ \text{Physics}& 87\\ \text{Chemistry}& 82\\ \text{Biology}& 82\\ \text{Mathematics}& 98\end{array}$$

Measure the central tendency of the above data.

In the given figure, if $\angle$ ABC = $\angle$ ADC and $\angle$ BAC = $\angle$ DAC, then by which postulate is $△ABC\cong △ADC$ ?

Abhishek wants to cover his books. He noticed that one-fourth metre of paper is sufficient to cover 1 book. How much paper (in metre) does Abhishek need to buy to cover all his 14 books?

If U = {x : x $ϵ$ N}, A = {x : x = 2n, n $\in$ N} and B = {x : x is a prime number}, then A $\cap$ B is ___.

If $x=5$ satisfies the equation $2x-3=a$, then the value of $a$ is ___.

What are the five rational numbers between $-2$ and $1$

The angles of a triangle are in the ratio 7:9:2 . The measure of the smallest angle is _______

Randomly two balls are drawn from a bag containing 3 green balls and 5 red balls. What is the probability that the balls drawn contain at least one red ball (without replacement)?

Question 1(b)
Following number line shows the temperature in degree Celsius (°C)at different places on a particular day.



What is the temperature difference between the hottest and the coldest places among the above?

If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively]
[4 MARKS]

A man is running at a speed of 8 km/hr for a distance 5200 metres. Find the time taken by him in minutes.

Neelam’s annual income is $Rs,2,88,000$. Her annual savings amount to $Rs.36,000$. The ratio of her savings to her expenditure is $1:7$

In an archery board, the radius of the yellow circle is 5cm, and the radius of each of the next circles is 2 cm more than the previous ones. Find the diameter of the blue circle.

Which of the following relation is incorrect ?

Identify the front view of the figure shown above.

The temperature was 34 degrees at nightfall. It dropped by 6 degrees by midnight. What was the temperature at midnight?

If a, b, c are integers and a > b, then

(I) (a $÷$ c) > (b $÷$ c), if c is positive

(II) (a $÷$ c) < (b $÷$ c), if c is negative