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One day Krishnayya and his $10years$ old granddaughter Subbu are having the following conversation:

Subbu : Grandpa, When were you born?
Krishnayya then gave a Mathematical puzzle to his granddaughter to solve.

Grandfather: Kid, I am $8$ more than $6times$ your age by now($2015$).
Subbu started thinking. Being good at Mathematics, Subbu screamed her grandpa's year of birth in less than a minute.
Which year do you think he was born?

The length and corresponding height of a parallelogram are 6 m and 8 m respectively. The area of the parallelogram ( in $m^2$ ) is ___ .

I want some explanation on number system

Conversion

Binary

Hexadecimal

Octal

Decimal......

Sry I wrote the chapter algebraic expressions because number system was not there....

Assertion: In $\Delta ABC$, E and F are the mid-points of AC and AB respectively. The altitude AP intersect BC at P and FE at Q. Then AQ = QP.

Reason: Q is the mid - point of AP.

Which of the following is correct?

Find the area of the equilateral triangle given below:

Given: AD=10 cm.

In the given figure, ∠ABC = ${90}^{\circ }$ and BM is a median, AB = 4 cm and BC = 3 cm. Then, choose the correct option(s).

Which of the following should be the FOURTH sentence after rearrangement?

Identify the decimal part of the decimal number 12.025.

If a transversal intersects two parallel lines, then, which of the following angles are equal?

A certain sum amounts to ₹2200 in 2 years to ₹2800 in 4 years at simple interest. Find the sum and the rate per cent per annum.

If (2n + 5) = 3(3n - 10), then the value of n is

Write the following statement in inequality
2 added to thrice a number is greater than or equal to 15; Take the number as x

Re-arrange suitably and find the sum in each of the following :

(i)$\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$

(ii)$\frac{-6}{7}+\frac{-5}{6}+\frac{-4}{9}+\frac{-15}{7}$

(iii)$\frac{3}{5}+\frac{7}{3}+\frac{9}{5}+\frac{-13}{15}+\frac{-7}{3}$

(iv) $\frac{4}{13}+\frac{-5}{8}+\frac{-8}{13}+\frac{9}{13}$

(v)$\frac{2}{3}+\frac{-4}{5}+\frac{1}{3}+\frac{2}{5}$

(vi) $\frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16}$

If two of the angles in a triangle are 26 degrees and 59 degrees, how large is the third angle?

A Bike covers the distance 8993 km in 17 hours . Find the distance covered in 23 hours

In a $△$ABC, $\angle$ABC = ${30}^{\circ }$ and $\angle$ACB = ${45}^{\circ }$. Which is the longest side in this triangle?

Consider the figure:

If $\angle$B = ${50}^{\circ }$, $\angle$ACD = ${120}^{\circ }$, then the value of $\angle$A (in degrees) is .

Ram can run 3 times as fast as Rahul. If Rahul's speed is 5 km/hr. Then the speed of Ram is ___ km/hr.

Find the value of x, so that
${\left(\frac{5}{3}\right)}^{-2}\times {\left(\frac{5}{3}\right)}^{-14}={\left(\frac{5}{3}\right)}^{8x}$

A man buys a book for Rs 400 and sells it for Rs 350. Find its loss%

Question 73

Find the value of $n$, where $n$ is an integer and $2^{n-5}\times 6^{2n-4}=\frac{1}{{12}^4\times 2}.$

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

The common factors of 3b, 33ab is/are

If $3\frac{a}{5}$ is a mixed fraction, then $a$ can be

On factorising $3m^2+9m+6$, we get the factor(s) as:

Will the value of $11x$ for $x=-5$ be greater than $11$ or less than $11?$ Explain.

A stationery shop costs Rs.4 for a pencil. Pavan wants to buy 3 pencils. How much will it cost him?​

The degree of the polynomial $a{c}^8+3a{b}^2{c}^5+21$ is

(a) Nisha had 55 balloons; she gave 46 balloons to Astha. What fraction of the balloons is left with Nisha? If Ashta loses 6 ballons what fraction of balloons in left with her?

(b) Sameera purchased $3\frac{1}{2}$ kg apples and $4\frac{3}{4}$ kg oranges. What is the total weight of fruits purchased by her?

(c) Solve : $2\frac{2}{3}+3\frac{1}{2}$ [4 MARKS]

Niki is playing a game. Each correct answer gets 1 mark, and for each wrong answer $\frac{1}{2}$ a mark gets reduced. If Niki got 1 answer right, and 9 answers wrong, what would be her total marks?

If the perimeter of a square is 200 cm, then the length of each side of this square is

A man runs after a thief 10 mins after the thief has started running. They run at the rates of 8 km/hr and 5 km/hr respectively. When and where will the thief be overtaken?

One day, Ted needed a pen. When he reached the store, he found that the shopkeeper had lost his list on which he had written how many notebooks he sold. But he had the list of pens and his total profit.

For each notebook, he gets $Rs4$ as profit and for each pen he loses $20$ paisa. The total profit he made was $Rs40$. And he sold $100$ pens during that period. Find the number of notebooks sold during that period. [Assume he only sold notebooks and pens during that period; Answer in terms of a number]

If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be ___.

A kite has ____ line(s) of symmetry.

Evaluate : $2\times (9\times 3+9)-4$

Question 99

State whether the statement is True or False.

If two legs of a right-angled triangle are equal to two legs of another right-angled triangle, then the right triangles are congruent.

On factorising $3m^{2}n+12mn+12n$, we get the factor(s) as:

In MKS system, Stefan's constant is denoted by $\sigma$ In CGS system multiplying factor of $\sigma$ will be

Number of altitudes in a triangle is:

An army camp of 250 men has provision for 350 days. After 25 days, 50 men died due to an epidemic. The food will last for

Question 36

State whether the statement given is True or False.

A polynomial with more than two terms is a trinomial.

Question 1(a)
Write down a pair of integers whose:
Sum is - 7

The sum of two rational numbers is-7\12 .If one number is 13\24 find the other