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Question 2 (c)
You want to show that$\Delta ART\cong \Delta PEN$:
If it is given that AT = PN and you are to use ASA criterion, you need to have:
i) ? (ii)?

(a) What kind of numbers do you get if you add consecutive triangular numbers? Give examples.
(b) Complement of $\angle E$ is $\angle F$, if $\angle E$= ${28}^{\circ }$, find $\angle F$.
[2 MARKS]

Which of the following is not classified as quantity?

A bag contains 35 apples and 28 bananas. They are distributed to 7 students such that all have an equal number of apples and bananas. How many fruits does each student get? [2 MARKS]

In the figure given below, the measure of x is:

(1) Write these fractions in ascending order.

(2) Write these fractions in descending order.

Additive identity for integers is:

In which of the following triangles the altitude and medians are all same?

If $S=1^0+2^0+3^0+4^0+\dots +{50}^0,$ then the value of $S$ is

Express the following fractions in ratios.

The pie charts shows some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics.

While Germany won 7 bronze medals,Jack says ‘The pie charts show that Germany won more gold medals than the Russian Federation’. Is Jack correct in his statement? Choose the correct option.

Which of the following option(s) satisfy the inequality $x-3\le 12?$

Mention the rule of proportion.

The sum of the three consecutive odd numbers is 159. Find the numbers.

Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.

In the figure given below, $AB||CD,AF||ED,\angle AFC={68}^{\circ }and\angle FED={42}^{\circ }$.
Find the value of $\angle EFD$.

Solve for x given

The temperature recorded of a certain city was observed to be ${18}^{\circ }\text{C}$ in the morning. When the temperature was observed in the evening, it was dropped by $7^{\circ }\text{C}$. What is the recorded temperature in the evening?

Question 30

Fill in the blank to make the statement true.

The number of common points in the two angles marked in the given figure is______.

When a = 0, b = − 1, find the value of the given expressions:

(i) 2a + 2b (ii) 2a² + b² + 1

(iii) 2a² b + 2ab² + ab (iv) a² + ab + 2

4+5(p-1)= 34

Then p =?

How to solve big questions of linear equation especially in decimals

How much interest would you have to pay on ₹ 4000 borrowed at 10% p.a simple interest for one year?

Which of the following are the nets of a cone?

Find out
the maximum possible output for a firm with zero unit of L and
10 units of K when its production function is Q = 5L
= 2K.

The sum of two integers is -56 and their quotient 7.The numbers are :(a) -56,49,(b)56,49(c)-56,-49(d)56,-49

EF divides the rectangle ABCD in two equal parts of _____.

Question 76 (i)

Write the next three rational numbers to complete the pattern:

$\frac{4}{-5},\frac{8}{-10},\frac{12}{-15},\frac{16}{-20},$ __ ___ ___

Having left the “House of Rational Numbers, Q”, Bill wandered off to a playground where a group of occupants (numbers) of Earth 2 were playing. He observed that a team consisted only of the occupants from one room or a house.

The captain of one such team was "$\frac{2}{3}$" an occupant of “House of Rational Numbers, Q”. He needs to pick players who are part of his house only. Select all the possible players given in the options below that the captain could pick.

Give first step that you will use to separate the variables in each of the following:

x - 5 = 0

Question 19

40% of [100 - 20% of 300] is equal to

(a) 20

(b) 16

(c) 140

(d) 64

Question 57

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

${20}^{o}C$ less than the present temperature.

Copy the following drawing on squared paper. Complete the figure such that the resulting figure has two dotted lines as two lines of symmetry.

Question 4 (ii)

The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:

$\begin{array}{cccccccccc}161& 150& 154& 165& 168& 161& 154& 162& 150& 151\\ 162& 164& 171& 165& 158& 154& 156& 172& 160& 170\\ 153& 159& 161& 170& 162& 165& 166& 168& 165& 164\\ 154& 152& 153& 156& 158& 162& 160& 161& 173& 166\\ 161& 159& 162& 167& 168& 159& 158& 153& 154& 159\end{array}$

$\begin{array}{cc}\text{Height (in cm)}& \text{Number of studentss(frequency)}\\ 150-155& 12\\ 155-160& 9\\ 160-165& 14\\ 165-170& 10\\ 170-175& 5\\ \text{Total}& 50\end{array}$

(ii) What can you conclude about their heights from the table?