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Question 1 (a)
Which congruence criterion do you use in the following?
Given AC = DF, AB = DE, BC = EF
So $\Delta ABC\cong \Delta DEF$

Below is a list fo 10 Tallest buildings in India this list ranks buildings in India that stand atleast 150 m (492 ft.) tall, based and standard height measurement. This includes spires and architectural details but does not include antenna marks. Follwing dayta in given as per the availabel information till 2009. Since, new buildings are always under construction, go online to check new taller buildings use the information given in the table about skyscrepers to answer the following quetions.


Draw a bar graph for given data.

Arav was asked to construct a triangle ABC with sides AB and BC equal to 5 cm and 6.5 cm respectively. The measure of the angle B is 60⁰. He started the construction, which of the following steps of construction followed by him is incorrect

Which of the following is an example of the associative property of addition?

Which of following rational numbers lies between -1/5 and 3/7?

Find the amount which Yash will get on ₹ 1,200 if he gave it for 12 months at $12\%$ per annum and interest is compounded half yearly.

(-425) ÷ (-25) =

A number of the form $\frac{p}{q}$ is said to be a rational number if

4 congruent triangles are placed along the sides of a square such that side of the square is equal to base of the triangle. If we join the vertices of the triangle it becomes a

A circle centered at O and of radius 5 cm is divided into six equal parts as shown in the figure below.

If the endpoints of these lines are joined, then the 2D shape so obtained is

If SP > CP then then which of the following option is correct.

Jackie has 120 comic books in his shop. The first customer to the shop buys $4x$ number of comic books and the second customer to the shop buys 10 comic books more than what the first customer has bought. The number of comic books now left with Jackie in his shop is _______

The average milk given by 15 cows is 8 litres a day. Considering all the cows give equal amount of milk,

what is the total milk given by 7 cows?

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star

Which of the above are polyhedrons?

If the volume of an utensil is $500c{m}^3$, then find its weight, given, the density of the material it is made of is $8.96g/c{m}^3$

Find the value of -11+4

Question 12

The equation having 5 as a solution is

(a) 4x + 1 = 2

(b) 3 - x = 8

(c) x - 5 = 3

(d) 3 + x = 8

The sum of two rational numbers is -2. If one of the numbers is $\frac{-14}{5}$, find the other.

If a card is chosen from a standard deck of cards, what is the probability of getting a five?

Question 63
State whether the statement is True or False.
A regular hexagon has six lines of symmetry.

1. 120

Question 4(viii)
Write the equation for the following statement:
If you take away 6 from 6 times y, you get 60.

In the given figure if AB = AC and AD bisects $\angle BAC$, then which of the following are true ?

What do we get when we multiply both the sides of the equation $\frac{2m}{5}=6$ with $\frac{5}{2}$ ?

Given below is the table of the marks of 10 students. For getting promoted to section A, a student has to score more marks than the average. Can you tell me from the given options, which student will not be promoted to Section A?​

$\begin{array}{cccc}\text{Name}& \text{Marks}& \text{Name}& \text{Marks}\\ \text{Pavani}& 79& \text{Ajit}& 77\\ \text{Goutham}& 81& \text{Kushagra}& 73\\ \text{Deepthi}& 68& \text{Manish}& 94\\ \text{Pavan}& 85& \text{Satyam}& 81\\ \text{Akash}& 62& \text{Sarosh}& 80\end{array}$

Find the area of a triangle whose base is 4 cm and corresponding height is 12 cm long.

1) ABC is a triangle, right angled at C if AB=25cm and AC=7cm find BC.

What is the nature of the ratio of 7:7?

Question 1 (ii)
State the property that is used in each of the following statements:

If $\angle 4=\angle 6$, then a||b.

To test him further, Jack gave another question which he remembered from the test he has created already. There are two bar graphs as shown below which represent the number of runs scored by two batsmen in 5 matches.

Which of the following options show the correct double bar graphs representing runs scored by both batsmen?

Find five rational number between -1 and 0.

Which is greater 2 raised to power 100 and 100 raised to the power of 2

Question 5(f)
Find the product, using suitable properties:
$7\times (50-2)$

The basic categorization of amino acids, depends on their___group.

A cake is cut into two equal parts and each part is again cut into two equal halves and it continues in that way. How many times should one cut the cake so that the number of pieces will be 32? [3 MARKS]

The arrangement of integers 20, -1, 0, -5, -21, -9 in ascending order is

How much time will it take for an amount of ₹ 450 to yield a simple interest of ₹ 81 at $4.5\%$ per annum ?

Question 76

A wall of a room is of dimensions $5m\times 4m$. It has a window of dimensions $1.5m\times 1$ m and a door of dimensions $2.25m\times 1$ m. Find the area of the wall, which is to be painted.

The numerical expression $\frac{3}{8}+\frac{-5}{7}$ equal to $\frac{-19}{56}$ states that:

If $a<b,d<c$ and $\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$, then we have $p$$q$

Calculate : $(\frac{2}{3}+\frac{5}{8})\times (\frac{4}{6}+\frac{7}{16})$

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

Which number is neither negative nor positive integers

The distance between two cities is 3245678 km. Convert it into meters and express in standard form. [2 MARKS]