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Factorise:

$1-8a^3$

What should be the answer if we multiply 4ab and 5bc also 2l²m 3lm².

Pavan followed the steps given below to construct a triangle

Right-angled triangle LMN, with hypotenuse $LN=8cm$ and side $MN=5cm$.

Step 1: Draw line 'l'.
Step 2: Mark a point on 'l' and name it M.
Step 3: Draw a line segment $MN=5cm$ on 'l' .
Step 4: Construct a right angle $\angle$ XMN at M.
Step 5: Draw an arc with N as the centre and radius equal to $8cm$, such that it intersects MX.
Step 6: Mark the point of intersection as L.
Step 7: Join points L and N.

Are the steps followed by him correct?

If it is correct then enter "Yes” if no then enter "No”.

Which of the following are required to construct a quadrilateral ABCD?

Single choice question:
If p(x) = g(x) × q(x) + r(x), p(x) and g(x) are any two polynomials with g(x) $\ne$ 0, then we can find polynomials q(x) and r(x) by division algorithm.We should stop the division process when

If $a^2+b^2=41andab=4,$ find :

(i) (a - b)

(ii) (a + b)

Shikha's income is 60% more than that of Shalu. What percent is Shalu's income less than Shikha's?

Question 112(i)

Sonia picks up a card from the given cards

Find the probability of getting An odd number ?

Factorise:
$a^2{b}^2-6abc+9c^2$

If the price of milk increases from Rs. 24 per litre to Rs. 32.40 per litre, then the percentage increase in the price is equal to

$\frac{-7}{5}$ is__ than -3.

• Number card >6

What is the meaning of theorems?

15(2x-3)^3-10(2x-3)

The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.

In the given figure, O is the centre of the circle. Chord CD is parallel to the diameter AB. If $\angle$ABC = ${35}^0$, then find the value of $\angle$CED.

An article was sold at Rs. $a$ at a loss of 4%. If the article was sold at Rs. $b$, there would be a profit of 20%. Then, find a:b.

Rahim, a mechanical engineer, wants to fit some pipes into a rectangular door of dimension 96 × 60 square cm. If on fixing 5 pipes, at equal distances, along the longer side of the door, the gap between each pipe is 19.2 cm, how many pipes should be fixed in the same manner so that the spacing between the pipes is 8 cm?

3a+b-2c=21+20

Find the value of a, b and c.

A property agent gets a commission of $3\%$ by selling an apartment for $₹250000$. Commission received by agent is

The difference between compound interest and simple interest on an amount of Rs.15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A man A sells an article at a discount of 45%. The other man B who kept the discount rate as 27% initially, then thoughtfully added an extra discount of 18% on the discounted price. Given that the quality of the articles is same, whose article will be sold soon.

In an election, 25025 villagers voted for one of two candidates for panchayat president. If the winner received 14 votes more than three fourth votes that loser got, how many votes were cast for the winner?

When water freezes its volume increases by 4%. What volume of water is required to make 221 cm³ of ice?

The square of a number of the form abc.......5 has the number ________ before 25.

A random survey of the number of children of various age groups playing in park was found as follows:

$\begin{array}{cc}\text{Age (in years)}& \text{Number of children}\\ 1-2& 5\\ 2-3& 3\\ 3-5& 6\\ 5-7& 12\\ 7-10& 9\\ 10-15& 10\\ 15-17& 4\end{array}$

Draw a histogram to represent the data above.

If $2a-\frac{3}{a}=1$, then, find the value of $8a^3-\frac{27}{a^3}$

Express the given fraction in terms of x, $\frac{(a+b{)}^2}{2ab}$ if x= $\frac{a}{b}$

Is it possible to have a polyhedron with a given number of faces?

$(a+b{)}^3=a^3+3xab+3a{b}^2+b^{2}y$.Then x+y is always

A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in Fig.If AB=60 m and BC=28 m,find the area of the plot.

Andy has Rs. 1540 in his pocket and he spend Rs. 250 on his hair cutting and Rs.115 on his face wash. Find the amount left with him.

Find the square root of the following decimal numbers by division method

5.774409

The sum of two consecutive odd numbers is 56. Find the numbers

What is the value of $x$ for the equation $\frac{5x-4}{6}=4x+1-\frac{3x+10}{2}$ ?

How many litres of pure acid are there in 4 litres of a 20% solution?

Find the volume of the cuboid of length 8 cm , breadth 4 cm and height 10 cm

Subtract the sum of $(a+b+c)$ and $(2a-b+2c)$ from $3a-b+3c$. [3 MARKS]

What is a polygon?

In the Venn Diagram,

U = {pupils in class 8}

A = {pupils who play basketball}

B = {pupils who play badminton}

How many pupils play basketball?

The area of a circle is $1386$ sq. cm, find its circumference.

If $n$ is odd, then $1+3+5+7+.....+$ to $n$ terms is equal to

(a) $(n^2+1)$

(b) $(n^2-1)$

(c) $n^2$

(d) $(2n^2+1)$

Factorise:
$x^3-x^2+ax+x-a-1$