CLASS 6 MATHS CHAPTER 1 ,CHAPTER 4 ,CHAPTER 6 ALL IMPORTANT QUESTIONS PART 1

CLASS  6 MATHS CHAPTER 1 ,CHAPTER 4 ,CHAPTER 6

ALL IMPORTANT QUESTIONS...............................................

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Class 6 Mathematics Chapter 1 Knowing Our Numbers

Very Short Answer Questions  (1 Mark)

1. Write the numeration for 80956124$80956124$ in the Indian system.

2. Write the notation for Seventy-two crore thirty-one lakh eighty-five thousand seventy-nine.

3. Write 348967954$348967954$ separating periods in the Indian system.

4. Write the place value and face value of the underlined digit: 958–465459$95\underset{\_}{8}465459$

5. Write 459769843$459769843$ separating periods in the international system.

6. Write numerals for eight million, sixty-nine thousand, three hundred ninety-nine.

7. Express as numeral CDLXV

8. Express as Roman numerals MCMLXXXIV

9. Which of the Roman numerals is correct?

(a) IC$\mathrm{<br>}$ 

(b) XC$\mathrm{<br>}$

(c) VL$\mathrm{<br>}$

(d) DM

Short Answer Questions   (2 Marks)

1. Write the expanded form of 563408$563408$.

2. Find the difference of place values of two’s, 6$6$’s in 65810624$65810624$.

3. Write the greatest and smallest 4$4$-digit number using 5,6,0,9$5,6,0,9$.

4. What comes after and before 10000000$10000000$?

5. Which is lesser: 85740264$85740264$ or 85610784$85610784$.

Short Answer Questions  (3 Marks)

1. How many 6$6$ digit numbers are there in all?

2. Round off  14850$14850$ to nearest 10$10$’s, 100$100$’s, 1000$1000$’s place.

3. Estimate the sum (304+243)$\left(304+243\right)$ to the nearest hundred.

4. Estimate the difference of (973−368)$\left(973-368\right)$to the nearest hundreds  place.

5. Estimate product of (24×85)$\left(24\times 85\right)$.

6. Estimate quotient of  (725×25)$\left(725\times 25\right)$

Long Answer Questions (5 Marks)

1. Write the smallest and greatest 6$6$ digit numbers formed by using digits 1,0,5,7$1,0,5,7$ with repetition.

2. Arrange in Descending order 4123676,71204381,176489,3240973$4123676,71204381,176489,3240973$

3. The difference between the two numbers is 3856749$3856749$. If the smaller number is 2565638$2565638$. Find the greater number.

4. The mass of a bag is 2kg890g

$\mathrm{<br>}$

. What is the mass of 14$14$ such bags?

5. A thread of length 20m$\mathrm{20m}$ has been divided into 5$5$ pieces. What is the length of each piece?

6. A man had Rs. 2,08,78,560$2,08,78,560$ amounts in his bank. He withdrew Rs. 48,36,980$48,36,980$ in the month of January, Rs. 3,95,648$3,95,648$ in the month of February and Rs. 45,000$45,000$ in the month of march. What is the amount remaining in his bank account by the end of march?

CHAPTER  4

Study Important Questions for Class 6 Maths Chapter 4 – Basic Geometrical Ideas

1 - Marks:

1. A line segment has no length. Say True or False.

Ans: False. (As a line segment has two fixed points. It has a finite length.)

2. The line AB←→$\overleftrightarrow{��}$ is same as that of line BA←→$\overleftrightarrow{��}$. Say true or false.

Ans: True. (Since line AB←→$\overleftrightarrow{��}$ and BA←→$\overleftrightarrow{��}$ are two different methods of writing it.)

3. A _____ has only one end point.

Ans: Ray. (A ray has only one fixed point.)

4. _____ lines can be drawn passing through two given points.

Ans: One. (Only one line can be drawn from two fixed points.)

5. Choose the false statement.

(a) Line

PQ←→$$\overleftrightarrow{��}$$

is same as that of line QP←→$\overleftrightarrow{��}$

(b) Ray PQ−→−$\overrightarrow{��}$ is same as ray QP−→−$\overrightarrow{��}$

(c) Line segment PQ¯¯¯¯¯¯¯¯$\overline{��}$ is same as the line segment QP¯¯¯¯¯¯¯¯$\overline{��}$

(d) None of these

Ans: Option (b) is false. (As ray PQ−→−$\overrightarrow{��}$ has its fixed point at P and ray QP−→−$\overrightarrow{��}$ has its fixed point at Q.)

6. Quadrilateral is a polygon formed by _____ line segments.

Ans: Four. (A quadrilateral consists of 4 sides.)

7. Curve in which the starting point and ending points do not meet is called _____curve.

Ans: Open. (In an open curve the starting and ending points do meet each other.)

8. All radii of the circle are equal. Say True or False.

Ans: True. (As the distance between the centre and the circumference is constant.)

9. Diameter of a circle =2×$=2\times$____

Ans: Radius. (Diameter is two times the radius.)

10. _____ is the largest chord.

Ans: Diameter.(A chord is a line which has both its end in the circumference. Diameter is the longest chord as it passes through centre.) 

11. A _____ of a circle is a line segment at the one end point in the centre and other endpoint on circumference.

Ans: Radius (It is the distance between the centre and the circumference.)

Define the following w.r.t to circle with figures.

(a) chord of a circle

(b) secant of a circle

Ans:

(a) Chord – A line segment whose both fixed points lie in the circumference.

(b) Secant of a circle – A line that passes through the circle. It intersects the circumference of the circle at two points.

Match the following: (a) Triangle (1) 4 sides (b) Quadrilateral (2) 8 sides (c) Heptagon (3) 3 sides (d) Pentagon (4) 5 sides (e) Octagon (5) 10 sides (f) Hexagon (6) 6 sides

Say True or False

(a) Two lines are parallel if they do not meet, even when produced.

(b) Two parallel lines are everywhere the same distance apart.

(c) If two line segments do not intersect, they are parallel.

(d) If two rays do not intersect, they are parallel.

(e) A line between two parallel lines is always perpendicular to each other.

Ans:

(a) True

(b) True

(c) True

(d) True

(e) True

From the figure identify

1. the centre of circle.
2. three radii
3. a diameter
   

1. Write the points which are:
   

   1. in the minor sector OAPB
   2. minor segment ATB
   3. major sector OAQB
   4. major arc AQB
   5. minor arc APB

   Classify the following curves as

   1. open
   2. closed.
      

   CHAPTER 6 INTEGERS

   
   

   (1) Find the value of  10 – [(-12)+ 11-(-3)]

   (2)  a man travelled 54 kilometres to the east of Mumbai and Then 92 kilometres to the west from that point. Hoe far from Mumbai was he finally ?

   (3) Hitesh had Rs 28760 in his bank account and his wife Seema had a debt of Rs 15670. What was their combined net balance?

   (4) Show on he number line which integer do you reach if you move 11 steps to the left of 5 ?

   (5) Solve using rules of integer – (-61) + (-67) – 29

1. Write fraction representing the shaded portion

2. Shade in the given figure: 59${\displaystyle \frac{\mathrm{<br>}}{\mathrm{<br>}}}$

3. Write in fraction form of eight-ninths.

4. Write down the fraction with numerator 3, denominator 9

5. Fill up the blanks

1. 112□1${\displaystyle \frac{\mathbf{<br>}}{}}$

2. 6512□1

6. Compare 45and 35${\displaystyle \frac{\mathbf{<br>}}{}}$

Short Answer Questions                                                           2 Marks

1. Find 34${\displaystyle \frac{\mathbf{<br>}}{}}$of 1212..

2. What fraction of an hour is 35 minutes?

$.$

3. The figure given can be written in the fraction form as 23.$\mathbf{.}$ Say true or false.

4. Name the numerator and denominator in the 1620${\displaystyle \frac{\mathbf{<br>}}{}}$

5. Convert 308${\displaystyle \frac{\mathbf{<br>}}{}}$ into a mixed fraction

6. Convert 679$\mathbf{<br>}$ into improper fraction.

$$\mathrm{<br>}$$

$.$

7. Fill in the blanks 5463=6□${\displaystyle \frac{\mathbf{<br>}}{}}$

8. Simplify:

1. 38+48+28${\displaystyle \frac{\mathbf{3}}{\mathbf{8}}}\mathbf{+}{\displaystyle \frac{\mathbf{4}}{\mathbf{8}}}\mathbf{+}{\displaystyle \frac{\mathbf{2}}{\mathbf{8}}}$

2. 89−69${\displaystyle \frac{\mathbf{8}}{\mathbf{9}}}\mathbf{-}{\displaystyle \frac{\mathbf{6}}{\mathbf{9}}}$

Short Answer Questions                                                           3 Marks

1. Seema has 28 books. She gave 410${\displaystyle \frac{\mathbf{<br>}}{}}$ to Meera. How many books does Meena has? How much is left with Seema?

2. Represent 325$\mathbf{<br><span\; style="background-color:\; transparent;\; font-family:\; "Open\; Sans",\; sans-serif;\; font-size:\; 13pt;\; font-weight:\; 700;\; text-align:\; justify;\; white-space:\; pre-wrap;">on\; the\; number\; line.</span>}$

3. Write a fraction equivalent to 45 with numerator 16.

=

4. Write a fraction equivalent to 4260${\displaystyle \frac{\mathbf{<br>}}{}}$ with denominator 10.

5. Simplify 710 into the simplest form.

6. Simplify

279+1115+924−314$$\mathbf{<br>}$$

7. Subtract 378−516$\mathbf{3}{\displaystyle \frac{\mathbf{7}}{\mathbf{8}}}\mathbf{-}\mathbf{5}{\displaystyle \frac{\mathbf{1}}{\mathbf{6}}}$

=

Long  Answer Questions                                                           4 Marks

1. Write four equivalent fraction for each of the following:

1. 37${\displaystyle \frac{\mathbf{<br>}}{}}$

 

2. 300900${\displaystyle \frac{\mathbf{<br>}}{}}$

2. Show that 67${\displaystyle \frac{\mathbf{<br>}}{}}$ and 4249are equivalent fractions.

3. Reduce into simplest form: 225500${\displaystyle \frac{\mathbf{<br>}}{}}$

4. Convert

14,58,1324$${\displaystyle \frac{\mathbf{<br>}}{}}$$

into like fractions.

$$\begin{array}{r}\end{array}$$

5. Compare 813and87${\displaystyle \frac{\mathbf{<br>}}{}}$

6. Roshni bought a material of length 325m$\mathbf{<br>}$ and one more piece of length 2710m.$\mathbf{<br>}\mathbf{\text{.}}$ How much material did she purchase in all?

7. Ram bought 612 litres of milk. Out of this 514$\mathbf{<br>}$ litres was used. How much is the remaining milk?

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