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A piece of square land is having a perimeter of 20 m. A cow is standing in the middle of the square land as shown in the figure. What is the minimum distance that the cow has to travel in order to go out of the field and drink water?

Add: $12x^2-12x+4$ and $21x^2+7x-10$

If a car travels 40 km in 4 litres of petrol then the petrol required to travel 50 km is:

Estimate to the nearest thousand:

$3460\times 7599$

The negation of P $\to$ $(\sim pvq)$ is

What is the value of this expression
$7\times 13$

Which of the given number line representations show the difference 5 - 4?

Find the perimeter of a regular octagon whose side measures 16 cm.

If the exterior angle of a triangle is 120° and one of the interior opposite angles is 70°, then the other interior opposite angle is ___.

Rahul and his cousins spent ₹ (5x + 6y) for the clothes they bought, where ₹ x is the price of a pant and ₹ y is the price of a shirt. They wanted to return 2 shirts because the shirts were damaged and they wanted a refund. Then the money they spent on clothes will be equal to? [3 MARKS]

Jose wants new carpet for his living room.His living room is a 9m by 9m. If the carpet cost is Rs 12 per square metre. What is the cost of the carpet? [3 MARKS]

Which blue line correctly shows the line of symmetry for the alien?

In the figure, the blue ray is:

Question 83

In the following question, state whether the given statement is true (T) or false (F).
A number with 4 or more digits is divisible by 8 if the number formed by the last three digits is divisible by 8.

If an angle measures 78°, then it is called

The mean of 200 items was 50. Later on,it was discovered that the two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.

Jack remembered that his famous work on time travel was criticized everywhere. Maybe people in future now are making fun of him. For his work, he was nominated for the “Excellence Award”. He then checked the status of the number of votes he got.
The frequency of people voting for Jack is

Find the least number which when divided by 9, 15 ,18 leaves remainder 7 in each case explain

While finding 22 x 25, which of the following expressions is used using brackets?

Question 64

Write the digits 0,1,2,3,.......,9 in this order and insert '+' or '-' between them to get the result 3.

What is the prime factorization of 36?

If 40 is divided in the ratio 3 : 7 then its two parts are:

Find the remainder without performing actual division when 58239 is divided by 11.

What is π?

Look at the graph below and answer the question that follows :

In which city are the highest number of vehicles sold?

Convert 3.4 to a fraction and reduce it to its simplest form. The fraction that you will get is

Out of 10 students who appeared in a test, 3 of them scored less than 35 and 3 secured more than 75, the marks of the remaining 4 are 36 , 42 , 66 , 44. Find the median score of the whole group.

What is the greatest number which can divide $\frac{4}{5},\frac{5}{6}\&\frac{6}{7}$ leaving a remainder zero with integer quotients?

Six children equally share a cake. What is the fraction of the cake each child gets?

Which of the following is impossible to draw using the given set squares?

Question 7

$\Delta$ ABC is right angled at A. AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12, find the area of $\Delta$ ABC. Also, find the length of AD.

Question 23

I think of a number and on adding 13 to it, I get 27. Equation for this is

(a) x - 27 = 13

(b) x - 13 = 27

(c) x + 27 = 13

(d) x + 13 = 27

Question 94 (i)

Taking $x=\frac{-4}{9},y=\frac{5}{12}$ and $z=\frac{7}{18},$

Find $x+(y+z)$.

Arrange the following fraction in decreasing order from top to bottom.

Question 98

Subtract $8\frac{1}{3}from\frac{100}{9}$.

Question 7 (a)

Write all the integers between the given pair (write them in the increasing order):
0 and –7

Question 2

The number of mathematics books sold by a shopkeeper on six consecutive days is shown below:
Draw a bar graph to represent the above information choosing the scale of your choice.

Question 8 (a)

Write four negative integers greater than –20.

If you have to add $6$ and $5$ on the number line, you can start from the number ___ and take $6$ jumps towards the ___ (right/left).

Calculate the perimeter of the given figure:

Write a rational number equivalent to $\frac{2}{3}$​ whose numerator is 8.

1. 6

What is the sum of the rational numbers $\frac{2}{5}$ and $\frac{-3}{7}$?

L.C.M of 12 and 90 is _____.

Question 68

In the following question, state whether the given statements are true (T) or false (F).

${10}^{-2}=\frac{1}{100}$

Question 3(e):

Draw any circle and mark:

A segment

Question 2(b)
Write a negative integer and a positive integer whose sum is - 5.