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A bag contains 20 kg of potatoes. If of potatoes are sold, find the weight of remaining potatoes.

'Add thrice a number with twice the same number' is algebraically written as

Question 106

Write 390000000 in the standard form.

One side of a triangle is produced and the exterior angle so formed is 140°. If the corresponding interior opposite angles are in the ratio 3:4, find the measure of all the angles of the triangle.

Find the value of $\frac{{10}^{22}+{10}^{20}}{{10}^{20}}$.

Ajit lives on the 18^th floor of a building. He came down 9 floors and collected his Maths textbook from his friend Karan. Later, he went up along with Karan to Goutham's house which is 12 floors above Karan's for group work. If Goutham lives on the topmost floor of the building, how many floors does the building have?

If the price of an item decreases from ₹18 to ₹12, then the price has decreased in the ratio ____

Question 49
Fill in the blank to make the statement true.
The line of symmetry for an angle is its ___.

Using the
property of determinants and without expanding, prove that:

Akash has 6xy+4x$y^2$ chocolates. He wants to distribute them to 2x children. How many chocolates does each of the child get if y=2?

What is the most common quantity of food donated ?

Solve $\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$.

In a class of 30 students, 18 students play cricket, 15 students play football 12 play both the games. How many students in the class don't play both the games?

The following box and whiskers plot represents the height of ten different plants:



About what percentage of plants has a height greater than 6 cm?

If the line is considered as a mirror then the reflection of image is:

For a square-sectioned beam bent as shown in the given figure, the exaggerated view of the deformed cross - section is

Which of the following is a non - terminating decimal :

Plot the line $y=-3$ on the cartesian plane.

Find the length of edges of cubes whose volumes are

(a) 216 c.c

(b) 2,197 c.c

Draw an appropriate bar graph to depict the number of people with different blood groups. [4 MARKS]

$\begin{array}{cc}\text{Blood Group}& \text{No. of People}\\ A& 6\\ B& 5\\ AB& 3\\ O& 1\end{array}$

Determine the value of 4(x + y). If x and y are two alternate natural numbers such that $x^2$- $y^2$ = 24.

Which of the following solid shape has an apex?

Sneha has travelled a distance of 30 km in 5 hrs. And then another 40 km in 2 hrs. Find the average speed for her entire journey.

Cities A, B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?

Give (i) an oblique
sketch and (ii) an isometric sketch for each of the following:

(a) A cuboid of
dimensions 5 cm, 3 cm and 2 cm. (Is your sketch unique?)

(b) A cube with
an edge 4 cm long.

With $\overline{PQ}$ of length 6.1 cm as diameter, draw a circle.

Find the vlues of "a" an "b" from the table, if both x and y are in proportional relationship.

Question 1 (ii)

The length and breadth of a rectangular piece of land are 500 m and 300 m respectively. Find:
The cost of the land, if 1 $m^2$ of the land costs ₹ 10,000.

Which among the following algebraic expressions cannot be further simplified?

What is the meaning of cent in percentage??

Question 2(vi)

State True or False.

The cube of a two digit number may have seven or more digits.