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What is area?

In the figure given below,

Find the value of

$\angle 1+\angle 2$.

$\frac{a}{b}$ is an improper fraction, where $a=q\times b+r$, then $\frac{a}{b}$ can also be written as

Question 83

Subtract -5308 from the sum [(-2100) +(-2001)].

Question 2

The lid of a rectangular box of sides 40 cm by 10 cm is sealed all around with tape. What is the length of the tape required?

Given that $(p+3)$ is the H.C.F of 81 and 108. Find the value of $p$.

Question 4(c)

Can you draw a triangle which has exactly three lines of symmetry? Sketch a rough figure.

Take two regular tetrahedrons and stick them along a common base. The number of edges in the new three dimensional shape formed are?

How i undustand graphs.?? How i remember and undustand easily?

Mother has made laddus. She gives some laddus to guests and family members, and still 5 laddus remain. If the number of laddus mother gave away is $l$, how many laddus did she make?

Which of the following is a front view of a cone?

The sum of two integers is -25. If one of them is 30. Find the other.

If 50 pencils can be bought for Rs. 20, then how many pencils can be bought for Rs. 32?

If x : y = 2 : 5 , then find 3x : 5y

Question 65

How many points are marked in the figure?

If you have two lawns - one in front of your house and the other at the back of the shape of a rectangle, find the perimeter if its lengths and breadth s are given as follows:
i.l = 10 cm, b = 8 cm
ii. l = 18 cm, b = 12 cm

Question 71

In the following question, state whether the given statement is true (T) or false (F).
If a whole number is divided by another whole number, which is greater than the first one, the quotient is not equal to zero.

What is square numbers?

If each interior angle of a regular polygon is 150°, then the polygon has ___ sides.

In the following sentence, identify the coordinating conjunction highlighting contrast.

When they returned, their house looked as if it had been robbed, but nothing was missing.

Question 39.

State True/False

The sum of three different integers can never be zero.

After buying a toy from the shop, I am left with Rs. 15 from my 100 rupees of pocket money. Then the cost of the toy is ___ rupees.

In the given triangle PQR ,all sides are equal , the measure of each angle is __________

The area of the square with side 25 cm is

If the base of a triangle is $4xcm$ and its altitude is $3cm$,then the area of the given triangle is

Question 3

Only one of the four options is correct. Write the correct one.

A picture is 60cm wide and 1.8m long. The ratio of its width to its perimeter in lowest form is:

a) 1 : 2

b) 1 : 3

c) 1 : 4

d) 1 : 8

Find x when $\frac{3x+5}{7}=\frac{16}{7}$? [2 MARKS]

Question 51

Will the measures of $\angle ABC$ and $\angle CBD$ make the measure of $\angle ABD$ in the figure?

Nimmi was asked to solve all these questions by her teacher. [2 MARKS]

(i) $2+\frac{3}{5}$

(ii) $5+\frac{1}{5}$

(iii) $1+\frac{4}{5}$


Help her solve these questions.

1. 2

The length of a rope is 2 m and its diameter is 1 mm. Find the ratio of length of the rope to its diameter.

What is the least value that should be given to ${}^{\prime }{a}^{\prime }$ so that the number $653a47$ will be divisible by 11?

What is the next number in this sequence: 5, 25, 125, ...?

If two cubes of sides 3 cm are placed together as shown below then the length of new cuboid formed is:

The square of which of the following would be an even number?

The value of expression 4y + 12 at y = 1 is:

If the cost of 7m cloth is Rs 714, the cost of 21m of cloth is___

If the $\angle A,\angle B,$ and $\angle Cof△ABC$ satisfy the relation $\angle B–\angle A=\angle C–\angle B,$ then find the measure of $\angle B.$

In the figure given below, ABOP is a rectangle and O is the centre of the circle. It is also given that AB = BC and the measure of the angle ABC is 60°. Find the measure of the angle OPN.

Point H is the ___ of the given triangle.