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The MP of a wooden table is ₹ 7000. The Discount given on it is ₹ 2100. Find the Discount %.

If we start at (-1, -1) and move 3 up followed by 9 right, where are we?

Question 80

To verify Pythagoras theorem is a random experiment ?

Question 85 (xv)

Expand the following, using suitable identities.

$(0.9p-0.5q{)}^2$

Question 85(iv)

If principal = Rs. 100000,

Rate if interest = 10 % compounded half - yearly.

Amount after one year.

The value of $\sqrt[3]{33375}\times \frac{1}{15}$ is

Question 79

In the following question, state whether the statement is True (T) or False (F):

$(9x-51)÷9$ is x - 51.

If $5^2\times 5^{\frac{1}{2}}\times 5^{\frac{5}{2}}\times 5=5^{3+\text{a}}$, then find the value of $3^{3+\text{a}}$.

Express
the following numbers in standard form.

(i) 0.0000000000085 (ii) 0.00000000000942

(iii) 6020000000000000 (iv) 0.00000000837

(v) 31860000000

The fraction of the shaded part, in step 3 of the given process is

If f = {(x, 1), (2, y), (9, z)} is an identity function, find the values of x, y and z.

How many cubes will you remove from $3\times 3\times 3$ rubik's cube of side length 3cm to make it a $2\times 2\times 2$ cube. [3 MARKS]

A student wants to construct a quadrilateral ABCD with the measurements AB = 3cm, BC = 4cm, CD = 4.5cm, AD = 2cm and BD = 6cm but he could not construct it .What could be the reason?

Factorise:
$y^2-21y+90$

Two angles are supplementary and they are in the ratio 3 : 7 What is the size of the larger of the two angles?

Express as a power of a rational number ${\left({\left(\frac{-3}{2}\right)}^{-2}\right)}^{-3}$

Question 3 (i)
Find the square root of the following decimal numbers:
2.56

Mention the proper order of identifying a point D on BC such that $\frac{Ar\left(△ABD\right)}{Ar\left(△ADC\right)}=\frac{2}{3}$.
1) Join $B_{5}C$ and draw a line parallel to $B_{5}C$ from $B_2$.
2) Identify the ratio in which the point D divides BC using the relation given.
3) Mark 5 points B₁, B₂, B₃, B₄ and B₅ on BX such that they are equidistant.
4) Construct a ray BX which makes an acute angle with line segment BC.
5) The point of intersection of the parallel line from B₂ with BC is the point D.

The perpendiculars drawn from centre O to the chords AB and AC are of equal length. Find the angle $\angle ACO.$

$Ifx+\frac{1}{x}=9,\text{find the value of}{x}^4+\frac{1}{x^4}.$

$A$ and $B$ can together finish a work in $30$ days. They worked together for $20$ days and then $B$ left. After another $20$ days, $A$ finished the remaining work. In how many days $A$ alone can finish the job?

Question 58

State whether the following statement is true or false:

A cube of side 3 cm painted on all its faces, when sliced into 1 cubic cm cubes, will have exactly 1 cube with none of its faces painted.

A swimming pool is $200m\times 50m$ and has an average depth of $2m$. By the end of a summer day, the water level drops by $2cm$. How many cubic metres of water is lost on the day?

What is the base ten representation of forty-three?

Write the contrapositive of the statement. 'If $8x+2=6$, then $x=4$.

Which of the following has a line of symmetry?

What is the additive inverse of (-9)?

Mariam bought two fans for Rs. 3605. She sold one at a profit of $15\%$ and the other at a loss of $9\%$. If Mariam obtained the same amound for each fan, find the cost price of each fan.

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

Find the value of $x$ from the following figure.

The cost of green coloured cereal is Rs 145 per kg and cost of blue coloured cereal is Rs 25 per kg. If both type of cereals are mixed in the ratio of 2:3, then the price per kg of the mixed variety of cereal is:

Question 91 (iv)



Factorise the following:



$p^2+14p+13$

If $2^3\times 2^4=2^x$, then $x=$

The value of the determinant of $n^{th}$ order, given by

$\left|\begin{array}{cccc}x& 1& 1& \cdots \\ 1& x& 1& \cdots \\ 1& 1& x& \cdots \\ \cdot & \cdot & \cdot & \cdots \end{array}\right|$ is

In the given figure, if $\angle CAD={150}^{\circ }$ and $\angle ABC={60}^{\circ },$ then reflex $\angle ACB=$___ .

Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?