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Simi thinks of a no. and subtracts 3/7 from it. She multiples the result by 28. The result obtained is 25 times the same number he thought of. What is the number?

Question 8 (i)
Express 49 as the sum of 7 odd numbers.

Find the value of x:

A triangle has two sides given as 5 cm and 6 cm. The third side must be smaller than what (in cm)?

A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours.How long will it take to fill the cistern of both the tap and the pipe are opened together?

A man sold two chairs for Rs. 500 each on one he gains 20 % and on the other he loses 12 %. His net gain or loss per cent is

(a) 1.5 % gain

(b) 2 % gain

(c) 1.5 % loss

(d) 2 % loss

Tick the correct answer in each of the following:

At what rate per cent per annum will a sum of Rs 7500 amount to Rs 8427 in 2 years. Compounded annually ?

(a) $4\%$ (b) $5\%$ (c) $6\%$ (d) $8\%$

Question 82(v)

Given below is a frequency distribution table. Read it and answer the questions that follow.
$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 5\\ 20-30& 10\\ 30-40& 4\\ 40-50& 15\\ 50-60& 12\end{array}$
Which interval has the lowest frequency ?

Question 92 (xxiv)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$y^4-81$

1m³ = __cm³

A box contains 120 tabs. Out of 120, 30 tabs are defective. Remaining tabs need to be distributed among 5 people. How many tabs will one person get?

How many kilos of tea worth rs72 per kg should be mixed with 10 kg of tea worth Rs 90 per kg to prodoce a mixture which will cost 78 per kg???!????

The marks of maximum number of students fall in the range of __________.

A bottle filling machine can fill 238 bottles in 2hrs. In 7hrs, it can fill

If Y is directly proportional to 1/Xand ,X=2when Y =20 what is the value of X and Y= 1.25

Draw the image of Delhi Iron pillar(shape frustum) whose actual dimensions are height = 8m, base radius = 2m and top radius = 1m. [4 MARKS]

Hi

If x+y=9 and xy = 20 . Find the value of x² + y²?

I m not able to understand this formula (2m,m^2-1,m^2+1)

Arjun was travelling on his cycle and has calculated the time to reach his destination. If he travels at 15 kmph, he will reach there by 10A.M and if he travels at 20 kmph he will reach by 9 A.M. At what speed must he travel to reach the office by 9:30 A.M.?

Find the voulme of a cuboid whose
(i) length = 12 cm, breadth = 8 cm, height = 6 cm
(ii) length = 1.2 m, breadth = 30 cm, height = 15 cm
(iii) length = 15 cm, breadth = 2.5 dm, height = 8 cm.

Find the value using identities : $182\times 182-2\times 182\times 62+62\times 62$

55 cows can graze a field in 16 days.
How many cows will graze the same field in 10 days?

A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of atricles in 48 days ?

Question 3

In the following question, out of the four options, only one is correct. Write the correct answer:

$3^{-2}$ can be written as:
(a) $3^2$
(b) $\frac{1}{3^2}$
(c) $\frac{1}{3^{-2}}$
(d) $-\frac{2}{2}$

Fill in the blanks:

$\left(i\right)-4\times \frac{7}{9}=\frac{7}{9}\times$ ___

$\left(ii\right)\frac{5}{11}\times \frac{-3}{8}=\frac{-3}{8}\times$ ___

$\left(iii\right)\frac{1}{2}\times (\frac{3}{4}+\frac{-5}{12})=\frac{1}{2}\times$ ____ $+(\times )\frac{-5}{12}$

$\left(iv\right)\frac{-4}{5}\times \frac{5}{7}\times$___ $=(\frac{-4}{5}\times \frac{5}{7})\times \frac{-8}{9}$

Without actual calculation find the value of 31 square minus 30 square

Q. If n⁰=1 then, what is the value of 0^{0​ ??}

A's work efficiency is three times than B's and so A is able to finish a job in 60 days less than B. If they work together, they can do this job in ___ days.

[Enter your answer in decimals]

ABCD is a quadrilateral such that $\angle$ABC+$\angle$ADC =${180}^{\circ }$. Inside the quadrilateral :

Statement 1: The circumcircle of $\Delta$ABC intersects diagonal BD at D.

Statement 2: The circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$inside the quadrilateral.

Statement 3: The circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$ outside the quadrilateral.

Statement 4: The circumcircle of $\Delta$ABC does not intersect BD at all.

Statement 5: ABCD is called cyclic quadrilateral.

Question 86(v)

A die is rolled once. What is the probability that the number on top will be a factor of 36

Find the area of triangle whose base is 8 cm and height of triangle is 12 cm.

The value of a machinery is Rs.80000, which is depreciating at the rate of 10% annually. What will be the value of the machinery after 3 years in rupees?

Factorise : $4(2a+b{)}^2-(a-b{)}^2$

What are the advantages of using a 24-hour clock?

If we increase the length of a cuboid to 2 times the initial, What is the volume of the new cuboid?

ABCD is a quadrilateral in which AB || DC and AD || BC. A line MN, parallel to CD, is drawn meets the midpoint M of the side BC which meets AD at N. What can you say about the diagonal AC?

Factorise by grouping method:

$a^4-2a^3-4a+8$

From the options, choose the irrational number that lie between 3 & 4.

Question 29

Fill in the blanks to make the statements true.

There are ___ natural numbers between $n^2$ and $(n+1{)}^2$.

What is the lowest form of the fraction $\frac{12}{18}$?