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Question 7 (a)

Between which two whole numbers on the number line does the given number lie? Which of these whole number(s) is nearer to the given number?

0.8

Find 45% of 5,000.

If a and b are integers and 95$\%$ of a exceeds 95$\%$ of b by c, then choose the most appropriate option.

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $\angle AOE$ ?

How many fractions lie on the number line between $\frac{5}{8}$ to $\frac{11}{8}$?

If the cost of $5\frac{2}{5}$ litres of milk is ₹$101\frac{1}{4}$, then the cost per litre is .

What is the difference between the number of mangoes sold on Sunday and number of custard apples sold on Wednesday?

लेखिका का ध्यान आकर्षित करने के लिए गिल्लू क्या करता था?

1. 8738

Devi buys 4 times as many pencils as Shilpa. If 30 pencils remained in the shop, which expression gives the number of pencils before the girls bought pencils?

What is the angle made by you when you stand upright on a flat surface?

निम्नलिखित प्रश्नों के उत्तर दीजिए −

(क) कवि ने 'अग्नि पथ' किसके प्रतीक स्वरूप प्रयोग किया है?

(ख) 'माँग मत', 'कर शपथ', इन शब्दों का बार-बार प्रयोग कर कवि क्या कहना चाहता है?

(ग) 'एक पत्र-छाँह भी माँग मत' पंक्ति का आशय स्पष्ट कीजिए।

Choose the correct symbol to make the following expression true.

$\frac{1}{2}\text{?}\frac{1}{3}$

Question 75

In the following question, state whether the given statements are true (T) or false (F).

$(-2{)}^0=2$

In the number 4564M, replace M by the smallest whole number to make the resulting number divisible by 8.

Which of the following is equal to 4 cubic metres?

The coefficient of term $x^5$ in the expression $x^3-x^5$ is:

How do we represent $0.123\overline{456}$ in fraction?

Question 5 (ii)

The following table gives the life times of neon lamps:

$\begin{array}{cc}\text{Length (in hours)}& \text{Number of lamps}\\ 300-400& 14\\ 400-500& 56\\ 500-600& 60\\ 600-700& 86\\ 700-800& 74\\ 800-900& 62\\ 900-1000& 48\end{array}$

(ii) How many lamps have a life time of more than 700 hours?

Perimeter of any figure is-

A tailor uses four and three hundred twenty-nine thousandths units of a cloth.

This can be written as units.

In the given figure, E is the midpoint of side AC and D is the midpoint of side AB, then

S1 : DE = $\frac{1}{2}$BC and DE || BC

S2 : Midpoint theorem : A line segment joining midpoints of 2 sides of a triangle is parallel to the third side and is half of it.

Question 2 (i)

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.



$\begin{array}{cc}\text{Section}& \text{Number of girls per thousand boys}\\ \text{Scheduled Caste (SC)}& 940\\ \text{Scheduled Tribe (ST)}& 970\\ \text{Non SC/ST}& 920\\ \text{Backward districts}& 950\\ \text{Non-backward districts}& 920\\ \text{Rural}& 930\\ \text{Urban}& 910\end{array}$

(i) Represent the information above by a bar graph.

When the time on the clock is 12:00, the angle formed between the hour and the minute hand is ____

Find the GCD of $42$ and $24$ using Factor Tree.

Question 85

Translate each of the following statement into an equation, using x as the variable.

(a) 13 subtracted from twice a number gives 3.

(b) One-fifth of a number is 5 less than that number.

(c) Two - third of a number is 12.

(d) 9 added to twice a number gives 13.

(e) 1 subtracted from one-third of a number gives 1.

The method of finding the value of required number of units after calculating the value of one unit, is known as ________.

Form greatest & smallest of 6 digit using 3,0,4 & 5 digit using 9,0,1

Pair the following equivalent fractions.

Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

The denominator of a fraction is 1 more than twice its numerator. If the numerator and the denominator are both decreased by 1 then the number obtained is 1/3 Find the fraction.

Two lines are positioned such that they don't have any points in common with each other. Then these two lines are _______.

Which of the following is/are multinomial(s)?

You explained the solution to a problem by showing this diagram. When you drew it, you found it similar to-