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Question 3: Draw rough diagrams of two angles such that they have:

(a) Four points in common.

Which of the following is/are true about the diagonals of a rhombus?

1 micron equals to _________.

Question 193

Fatima wants to mail three parcels to three village schools. She finds that the postal charges are ₹ 20, ₹ 28 and ₹ 36, respectively. If she wants to buy stamps only of one denomination, what is the greatest denomination of stamps she must buy to mail the three parcels?

If the number of benches and chairs in a school are 4b and 5c respectively, what is the total number of chairs and benches?

Given is the working hours of employees of an institute. Draw a frequency plot of data.

$\begin{array}{cc}\text{working hours}& \text{people}\\ 4-5& 20\\ 5-6& 25\\ 6-7& 7\\ 7-8& 25\\ 8-9& 13\\ 9-10& 9\end{array}$
[4 MARKS]

Shalini deposited ₹4,00,000 in a bank where she was promised an interest of 10%. She deposited it for a period of two years. Find the difference in the amount if the interest is calculated in a compounded manner to the amount interested in a simple manner.

Suppose ABC is a isosceles triangle with AB = AC. Side BA is produced to D such that BA = AD. Prove that ∠BCD is a right angle.

Ram says that 22 bags of cement were required to cement a circular platform. If one bag of cement is required to cement an area of 7 m², then the area and the radius of the circular platform respectively are

Factorise :

$\left(i\right)2a^3-50a\left(ii\right)54a^2{b}^2-6\left(iii\right)64a^{2}b-144b^3\left(iv\right)(2x-y{)}^3-(2x-y\left)\right(v)x^2-2xy+y^2-z^2(vi)x^2-y^2-2yz-z^2(vii)7a^5-567a(viii)5x^2-\frac{20x^4}{9}$

In the given figure, ABCP is a parallelogram and P is the mid point of CD. Then find which of the following option is correct?

Which of these are examples of direct proportion?
(i) Cost price to grocery.
(ii) Time required in completing a work to the number of workers doing that work.
(iii) Distance covered and time taken to cover that distance when speed is constant.

Sum of a two digit number and the number obtained after reversing the digits is always divisible by:

A shopkeeper sold an article at a loss of 20%.If the selling price had been increased by Rs.100, there would have been a gain of 5%. What was the cost price of the article?

The product of two rational numbers is $\frac{-36}{49}$. If one of the numbers is $\frac{-4}{7}$, find the other number.

A product of two numbers is given as $x^4{y}^2$, such that $x$ and $y$ are positive integers. Which of the following should be multiplied with the given product to make it a perfect cube?

Expand the following identity.
​${(2x+1)}^3$

In the given figure, ABCD is a kite with AC and BD as diagonals and $\angle ABC$ = ${30}^{\circ }$. Find $x$.

Question 155(i)

What happens when 1 cm worms are sent through these hook-ups?

Question 1 (ii)

Find the squares of the following numbers:

35

In a triangle ABC, if 2∠A = 3∠B = 6∠C, determine ∠A, ∠B and ∠C.

Which of the following is an irreducible form of 210?

If A = {set of whole numbers less than 6} and B = {set of prime natural numbers less than 7}, then _________ .

Question 21

Both x and y are said to vary___with each other, if for some positive number k, xy=k.

If the measure of one of the diagonal of a rectangle is 14 cm then the measure of the other diagonal will be ______________

Find the value of $(68{)}^2$ by visualizing the identity $(a-b{)}^2=a^2-2ab+b^2$.

In the given histogram, the number of CDs sold in the year 2008 is:
1 Cube = 10,500

The value of $x$ in the gi ven figure is

Calculate the interest offered by a bank when the amount deposited is 1,00,00,000 and the rate of interest is 7.55 percent per annum in one year.

Question 57

State whether the following statement is true or false:

The area of a trapezium becomes 4 times if its height gets doubled.

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