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Find the square root of 100 by the method of repeated subtraction.

Factorize:

$25(a-5b{)}^2-4(a-3b{)}^2$

Construct a rhombus ABCD, if ;

(i) AB = 4 cm and $\angle \text{B}={120}^{\circ }$.

(ii) BC = 4.7 cm and $\angle \text{B}={75}^{\circ }$

(iii) CD = 5 cm and diagonal BD = 8.5 cm.

(iv) BC = 4.8 cm, and diagonal AC = 7 cm.

(v) diagonal AC = 6 cm and diagonal BD = 5.8 cm.

(vi) diagonal AC = 4.9 cm and diagonal BD = 6 cm.

(vii) diagonal AC = 6.6 cm and diagonal BD = 5.3 cm.

A circle of radius $5$ cm is translated through a distance of $10$ cm. What is the new radius of the circle?

A parallelogram is such that its diagonals bisect each other at right angles. The parallelogram could be a

Question 85 (xii)

Expand the following, using suitable identities.

$(x^2+y^2)(x^2-y^2)$

A chord of length $32\text{units}$ cuts diameter of the circle of radius $20\text{units}$ at ${90}^o$. Find the ratio in which the chord divides the diameter of circle.

The $x$-intercept of a line is $-2$. The line has a slope of $\frac{-3}{2}$. Find the equation of this line.

Question 1(ii)

Find the cube root of each of the following numbers by prime factorization method:

512

Construct a rhombus ABCD in which AB = 4 cm and diagonal AC is 6.5 cm.

Question 63 (iii)



How many faces does the following solid have?



Octagonal pyramid

1000 rupees is to be equally divided among some persons. Is the amount each gets directly or inversely proportional to the number of persons?

The perimeter of a rectangle is 24 meters and its breadth and length are in the ratio 3 : 5. What is the length of the rectangle?

If 7 identical articles cost $₹5\frac{2}{21},$ then find the cost of 1 article.

Mohan purchased a house for Rs. 30000 and its value is depreciating at the rate of $25\%$ per year. Find the value of the house after 3 years.

The above graph shows the distribution of TV viewership for Zen TV channels in year 2012-13. Find the % distribution for entertainment.

Which of the following represents the factorisation of the expression
$a^4+2a^2{b}^2+b^4?$

What is the number of faces in a polyhedron with 10 edges and 6 vertices?

Select the correct notations for combination

What is the profit or loss % when the cost price is ₹400 and selling price is ₹300?

Find the value of $(86{)}^2$ by visualizing the identity $(a-b{)}^2=a^2-2ab+b^2$.

If there are 5 people in the height range 170-175 cm in a class of 50 people, then the percentage of people in the height range 170-175 cm is__________.

Factorise : $ab(c^2+d^2)-a^{2}cd-b^{2}cd$

Question 98(iii)

Solve the following:

$\frac{49\times z^{-3}}{7^{-3}\times 10\times z^{-5}}(z\ne 0)$

Question 38

State whether the following statement is true (T) or false (F).

A and B are together 90 years old. Hence, the ages of A and B five years back would be (x-5) years and (85-x) years, respectively.

A man bought 20 litres of milk at 4 rupee per litre . He adds 2 litre water to it so as to make it 22 litre. At what rate per litre should he sell the milk so that he gets a profit of 10%.