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पदनिर्माणं
कुरुत-

	धातु:		प्रत्यय:		पदम्‌
यथा	कृ	+	तुमुन्‌	=	कर्तुम्‌
	हृ	+	तुमुन्‌	=	---------------------
	तृ	+	तुमुन्‌	=	---------------------
यथा	नम्‌	+	क्त्वा	=	नत्वा
	गम्‌	+	क्त्वा	=	---------------------
	त्यज्‌	+	क्त्वा	=	---------------------
	भुज्‌	+	क्त्वा	=	---------------------

	उपसर्ग:	धातु:	प्रत्यय:		पदम्‌
यथा	उप	गम्‌	ल्यप्‌	=	उपगम्य
	सम्‌	पूज्‌	ल्यप्‌	=	---------------------
	आ	नी	ल्यप्‌	=	---------------------
	प्र	दा	ल्यप्‌	=	---------------------

Find the amount on ₹ 30,000 in 2 years , when the rates of interest for two successive years are 10 % and 12 % successively

Question 108

In the time table of a school, periods allotted per week to different teaching subjects are given below. ?

$\begin{array}{cccccccc}\text{Subject}& \text{Hindi}& \text{English}& \text{Maths}& \text{Science}& \text{Social Science}& \text{Computer}& \text{Sanskrit}\\ \text{Periods allotted}& 7& 8& 8& 8& 7& 4& 3\end{array}$

Draw a pie chart for this data.

Factorize 98$(a+b{)}^2-2$

Vinod has the following transactions. Show accounting equation for the same:

(i) Started business with cash Rs.30,000; Stock Rs.12,000; Machinery Rs.20,000;
Furniture Rs.10,000.

(ii) $\frac{1}{3}$rd of the above goods sold at a profit of 10% on cost and half of the payment is received in cash.

(iii) Cash withdrawn for personal use Rs.2,000.

(iv) Interest on drawings charged 5 %.

Which of the following will surely have a diagonal?

It is given $e^x=1+\frac{x}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}........$ Find the value of the limit

$\left(\underset{x\to 0}{lim}\frac{e^x-1-x}{x^2}\right)\times 16$

Calculate the mean for the following frequency distribution:

Question 146(i)

The table shows the portion of some common materials that are recycled.

$\begin{array}{cc}\text{Material}& \text{Recycled}\\ \text{Paper}& \frac{5}{11}\\ \text{Aluminium cans}& \frac{5}{8}\\ \text{Glass}& \frac{2}{5}\\ \text{Scrap}& \frac{3}{4}\end{array}$

Is the rational number expressing the amount of paper recycled more than $\frac{1}{2}$ or less than $\frac{1}{2}$?

Match the following identities with their expansion.

In a fair, there is a shop with gifts. You have to throw two dice at once (they are not identical). Before throwing, you have to predict the sum of the face values of the two dice. If you get the sum as predicted, you will get a free gift. Which number has the maximum chance of getting you the gift?

A person deposits 6400 rupees in a bank, which gives 12% interest. How much interest would he get after one month? What would be the interest for one month at 6%? What if it is 3%?

If a coin is tossed twice, is the probability of getting two heads equal to the probability of getting no heads at all? What are the two probabilities in the order of

i) Getting two heads

ii) Getting no heads

Question 1(a)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expression.

$17=x+7$

Two opposite angles of a parallelogram are $(4x-3{)}^{\circ }$and $(57-x{)}^{\circ }$. Find the measure of each angle of the parallelogram. [2 MARKS]

The angles of a triangle are in the ratio 1:2:3. Determine the three angles.

The diameter and height of a right circular cylinders is 8.4 m and 3.5m, how many full bags of wheat can we empty into the drum , if the space required for each bag is 1.2m² .

Which of the following is the correct diagram representation of the factors of 8 and 20?

The volume V of a gas has an indirect variation with pressure P on it. If the volume is $120$ $c{m}^3$ under pressure of $23$ $\frac{kg}{c{m}^2}$, what pressure has to be applied to have a volume of $80c{m}^3$ ?

Which of the following rational number can be represented as terminating and which as non terminating decimals? give the answer without actual dividing

1- 13/8

2- -7/15

The amount of loan to be paid back if the borrowed sum is ₹10,000, at a rate of 11% interest per annum under simple interest for a period of 3 years will be equal to ________ .

Find the
measure of ∠P and ∠S,
if

in the following figure. (If you find m∠R,
is there more than one method to find m∠P?)

Find two consecutive odd integers such that two-fifths of the smaller exceeds two-ninth of the greater by $4$.

Find the relation between $a$ and $b$ by simplifying the expression $(3a+2b{)}^2+(2a+3b{)}^2$.



Also, find the value of expression when $a^2+b^2=5$ and $ab=2$.

Question 2(ii)
Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:
256

Match the following:

Solve: