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Question 11(a)

A piece of string is 30 cm long. What will be the length of each side if the string is used to form a square?

Find the next number in the sequence.

1, 2, 5, 12, 27, 58, 121, (?)

Goutham, Vignesh, Pavan, Herman and Kushagra went to play arena to play Laser Tag. After the game was over they got score cards which showed the scores of each of them individually as shown. Whose score is the highest?

Which among the following represents a sample space when a coin is tossed?

($H$ represents head and $T$ represents tail)

25-cm length is cut off from a 3 m long rope. Calculate the length of remaining piece of rope.

Select all that apply.

If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).​

Rashi is going to plant 54 oak trees and 27 pine trees. She wants to plant them in such a way that all rows have the same number of trees and each row is made up of only one type of tree. What is the greatest number of trees Rashi can have in each row?

Pick out the features of the term 'Frequency' in a bar graph.

In the figure, sides QP and RQ of $\Delta PQR$ are produced to points S and T respectively. If $\angle SPR={135}^{\circ }$ and $\angle PQT={110}^{\circ }$,
find $2\angle PRQ$.

Sum of estimated value of $512857$ to nearest ten thousand and estimated value of $34$ to nearest tens is ?

You are given five digits 0, 8, 3, 9 and 2. Find the greatest and the smallest five-digit numbers that can be formed by using them.

One-fifth part of a wooden log is to be divided into three equal pieces.

So, the length of each piece is part of the wooden log.

Question 31

Fill in the blanks to make the statements true.

The number of capital letters of the English alphabets having only vertical line of symmetry is ___.

Question 20

Fill in the blanks to make the statement true.

In the adjacent figure, points lying in the interior of the $△$ PQR are ______, that in the exterior are _________ and that on the triangle itself are _________.

Question 115(vii)

Express the following in standard form:

Express 2 yr in seconds.

A man walked 3 km towards North, then 8 km towards South. What is his final position with respect to his initial position?

Simplify: 38 - [29 - {15 - (8 - 4)}]

Question 7(e):

Reduce the following fractions to simplest form:

$\frac{7}{28}$

Question 1 (a)

Find the common factors of:
20 and 28

कबीर
ने
ईश्वर
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'सब
स्वाँसों
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स्वाँस
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क्यों
कहा
है?

Water and Acid are mixed in the ratio 3 : 4 to make a liquid. On mixing 20 more litres of water , the ratio changed to 7 : 4.

Find the original quantity of water content in the mixture.

The chart shows the scores of different players. Whose score is the highest?

__

Which of the following fractions will give non-terminating decimal on conversion?

The angles 'x' and '${90}^{\circ }$ - x' are ________.

Question 54.

Fill in the blanks using >,< or =.

-10 .......-11

The method by which two similar quantities are compared by using division is known as comparison by

By giving a counter example, show that the following statements are not true.

(i) p : "If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle".

(ii) q : "The equation $x^2-1=0$ does not have a root lying between 0 and 2".

What is unique about similar figures?

We get a ___ after three dimensional projection of a circle.

Question 79

In the following question, state whether the statement is True (T) or False (F):

$(9x-51)÷9$ is x - 51.

In a classroom, there are 7 rows of chairs. Each row has 5 chairs. What is the total number of chairs in the classroom?

Statement 1: All the figures having two different lines of symmetry will have rotational symmetry.

Statement 2: Converse of Statement 1.