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## Case Study Questions Class 6 Maths Factors and Multiples

Case study questions class 6 maths – factors and multiples.

CBSE Class 6 Case Study Questions Maths Factors and Multiples. Here we have arranged some Important Case Base Questions for students who are searching for Paragraph Based Questions Factors and Multiples.

Tanvi has 84 blue coloured pencils, 120 green coloured pencils and 156 red coloured pencils. She wants to distribute them among the poor children such that each child gets the same number of blue, green and red coloured pencils and there are no pencils left with her. Also she wishes to distribute this pencils among the maximum number of children.

(2) How many pencils will each child receive?

Vidya passed her class VI this year. Her marks in four different subjects maths, science, English and Hindi were 85, 93, 78 and 74 respectively.

(b) 2 × 32 × 5 × 7

(c) 2 × 3 × 52 × 7

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Important Questions for Class 6 Maths Whole Numbers. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in  myCBSEguide   website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in  CBSE Class 6 Mathematics   syllabus  and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

CBSE Class 6 Maths Extra Questions

## Extra Questions of Class 6 Chapter 2 Mathematics

Ch-2 Whole Numbers

• What is the successor of 2001? (a)  2003  (b)  2001 (c)  2002 (d) 2000
• None of these
• Which is the smallest whole number? (a)  0  (b)  2  (c)  1 (d)   None of these
• 120 {tex}\times{/tex} 8 + 3 = 963
• 123 {tex}\times{/tex} 8 + 3 = 987
• 1234 {tex}\times{/tex} 8 + 4 = 9876

Match the following

Column AColumn B
1. Commutative propertya. (a × b) × c = a × (b × c)
2. Associative Propertyb. a (b + c) = ab + ac
3. Identity for multiplicationc. a + b = b + a
4. Distributive Propertyd. a × 1 = a

Fill up the following:

• Division by _____ is not defined.
• A number remains unchanged when added to ______.
• A number remains unchanged when multiplied to ______.
• 13 × 100 × ________ = 1300000

State true or false:

• All natural numbers are whole numbers.
• All whole numbers are natural numbers.
• The predecessor of a two digit number is never a single digit number.
• 1 is the smallest whole number.
• How many whole numbers are there between 32 and 53?
• Are all whole numbers also natural numbers?
• Complete pattern 1 1 = 1 11 11 = 121 111 111 = _______ 1111 1111 = 1234321

Write the next three consecutive whole numbers of the following numbers:

• A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs Rs.44 per litre, how much did he spend in all on petrol?

Find the product by suitable rearrangement:

• 8 × 391 × 125
• 2 × 1234 × 50
• If you’re on a diet and have a breakfast consisting of 150 calories, a lunch consisting of 350 calories, and a dinner consisting of 1000 calories, then find the sum of the calories consumed that day.
• 2002 Explanation: successor of 2001 is 2002 as
• 1 Explanation: 1 is a natural number has no predecessor as 1 -1 =0 which is not a natural number
• 0 Explanation: smallest whole number is zero as whole number is a collecion od zero and all natural numbers. and all natural numbers are gretare than zero.
• 123 {tex}\times{/tex}   8 + 3 = 987 Explanation: 1 {tex}\times{/tex} 8 + 1 = 9 12 {tex}\times{/tex} 8 + 2 = 98 123 {tex}\times{/tex} 8 + 3 = 987 As the digit of the 1st number incresing gradually like 1, 12, 123 and the last digit of equation is also increasing like 1, 2, 3 so next pattern will be 123 {tex}\times{/tex} 8 + 3 = 987 And the sum is also in decreasing order like 9 ,98 , 987 So the next pattern is 123 {tex}\times{/tex} 8 + 3 = 987
• > Explanation: 460 _ _>_ 406 as
• False, every whole number except 0 is a natural number.
• False, the predecessor of 10 is 9.
• There are 20 whole numbers between 32 and 53. These are 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51 and 52.
• No, all whole numbers are not natural numbers. (0 is a whole number but not a natural number.)
• The next three consecutive whole numbers of 39359 are: 39360, 39361, 39362
• The next three consecutive whole numbers of 8632157 are: 8632158, 8632159, 8632160
• Petrol filled on Monday = 40 litres. Petrol filled the next day = 50 litres. ∴ Total petrol filled on the two days = 40 litres + 50 litres = 90 litres. ∴ Cost of petrol per litre = Rs.44 ∴ Cost of 90 litres petrol = Rs.44 × 90 = Rs.3960.
• 8 × 391 × 125 = 391× (125 × 8) = 391 × 1000 = 391,000
• 2 × 1234 × 50 =1234 × (2 × 50) = 1234 × 100 = 123,400
• Breakfast consisting of 150 calories. Lunch consisting of 350 calories. Dinner consisting of 1000 calories. The sum of the calories consumed that day is 150 + 350 + 1000 = 1500 calories.

## Chapter Wise Extra Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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• Ratio and Proportion Class 6 Maths Chapter 12 Extra Questions
• Extra Questions for Class 6 Maths Algebra Chapter 11
• Important Questions for CBSE Class 6 Maths Mensuration Chapter 10
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## Important Questions for CBSE Class 6 Maths Chapter 10 - Mensuration

• Class 6 Important Question
• Chapter 10: Mensuration

## CBSE Class 6 Maths Important Questions Chapter 10 - Mensuration - Free PDF Download

In Mathematics, mensuration deals with measurements of various shapes and patterns along with their dimensions, volume, area, perimeter, etc. Being in class 6, it is essential for every scholar to be well aware of each of the chapters to score high marks in exams. So, try and devote as much time in practising mensuration related problems.

As a helping guide, you can refer to important questions for class 6 maths chapter 10 solutions and get familiar with the techniques to solve the problems faster.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students.You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination.

Also, check CBSE Class 6 Maths Important Questions for other chapters:

 CBSE Class 6 Maths Important Questions Sl.No Chapter No Chapter Name 1 Chapter 1 2 Chapter 2 3 Chapter 3 4 Chapter 4 5 Chapter 5 6 Chapter 6 7 Chapter 7 8 Chapter 8 9 Chapter 9 10 Chapter 10 Mensuration 11 Chapter 11 12 Chapter 12 13 Chapter 13 14 Chapter 14

Very short answer questions. 1 mark .

Q1. Length of boundary of a plane figure is called_____

Q2. Perimeter of rectangle $=$ ____?

We know that Perimeter of rectangle $=2(l+b),$

Here,

\begin{align} & l=\text{length} \\ & b=\text{breadth} \\ \end{align}

Q3. Perimeter of square = ___?

We know that perimeter is the length of the boundaries of a figure.

Square has four sides.

Therefore, Perimeter of square $=4\times \text{side}$

Q4. The ratio of circumference of a circle and it’s ______ is always constant.

The ratio of circumference of a circle and it’s diameter is always constant.

We know that, circumference of a circle $=2\pi r$

Diameter of a circle $=d=2r$

Ratio will be \begin{align} & \frac{2\pi r}{2r} \\ & =2 \\ \end{align}

Hence, the ratio is constant.

Q5. Circumference of a circle, $C=$ ________?

We know that circumference is the total length of the boundary of a figure.

So, $C=2\pi r$

Q6. Value of $\pi$:

(a) In fractions is ________

(b) In decimals is ________

(a) Value of $\pi$ in fraction is $\frac{22}{7}.$

(b) Value of $\pi$ in decimals is $3.14$

Q7. Area of rectangle $=(a)\_\_\_\_\_\_\_\times (b)\_\_\_\_\_\_\text{square}\text{units}.$

We know that area of rectangle $=\text{length}\times \text{breadth}$

Q8. Area of square $=(a)\_\_\_\_\_\_\_\times (b)\_\_\_\_\_\_\text{square}\text{units}.$

We know that area of a square is $=\text{side}\times \text{side}$

## Short Answer Questions.                                         2 Marks

Q1. Length and breadth of a rectangle are $12.3\text{cm}$ and $9.6\text{cm}$respectively. Find its perimeter.

Given: Length $=12.3\text{cm}$

Breadth $=9.6\,\,\text{cm}$

We know perimeter $=2(l+b)$

\begin{align} & =2(12.3+9.6) \\ & =31.5\text{cm} \\ \end{align}

Q2. Find the cost of fencing a square field of $175\text{m}$ at Rs.$60\text{ per metre}.$

Given: Perimeter of square field $=175\text{m}$

We need to find the cost of fencing the field.

Perimeter $=175\,\,\text{m}$

Cost of fencing per metre $=\text{Rs}\text{.}60$

So, total cost of fencing will be

\begin{align} & =175\times 60 \\ & =\text{Rs}\text{. 10,500} \\ \end{align}

Q3. Find the perimeter of a square whose has sides measuring $6.4\text{cm}$

Given: Side of square $=6.4\text{cm}$

We need to find the perimeter of the square.

We know that the perimeter of the square $=4\times \text{side}$ So, Perimeter of square will be

\begin{align} & \text{P}=4\times 6.4 \\ & =25.6\text{cm} \\ \end{align}

Q4. Find circumference of a circle of radius $13\text{cm}.$

Given: Radius $=13\text{cm}$

We need to find the circumference of the circle.

We know, Circumference $=2\pi r$

\begin{align} & =2\times \frac{22}{7}\times 13 \\ & =81.714\text{cm} \\ \end{align}

Q5. Find the diameter of a circle whose circumference is $88\text{cm}.$

Given: Circumference of a circle $=88\text{cm}$

We need to find the diameter of the circle.

We know that circumference $=\pi d$

\begin{align} & \Rightarrow d=\frac{C}{\pi } \\ & =\frac{88}{\pi } \\ & =\frac{88}{22}\times 7 \\ & =4\times 7 \\ & =28\text{cm} \\ \end{align}

## Short Answer Questions. 3 Marks

Q1. The length and breadth of a rectangle field are $340\text{m}$ and $160\text{m}\text{.}$ A watchman walked $5$ rounds around the field. Find the distance covered by him.

Given: length of rectangular field, $l=340\text{m}$

Breadth of rectangular field, $b=160\text{cm}$

We need to find the distance covered by the watchman.

We know that Perimeter, $\text{P}=2(l+b)$

\begin{align} & =2(340+160) \\ & =2(500) \\ & =1000\text{cm} \\ \end{align}

This is the length of one round but watchman walked 5 rounds.

So, distance covered by watchman will be

\begin{align} & =5\times 1000 \\ & =5000\text{cm} \\ \end{align}

Q2 . The length and breadth of a rectangular box is in the ratio $4:5.$ If its perimeter $4\text{m }40\text{cm}.$ Find its dimensions.

Given: $\frac{l}{b}=\frac{4}{5}$

Perimeter $=4\,\text{m }40\,\text{cm}$

We need to find the length and breadth of the rectangular box.

Let length of the box $=4x$

Breadth of the box $=5x$

So, we know that

\begin{align} & \text{P}=2(l+b)=4\text{m }40\text{cm} \\ & =2(4x+5x)=4\text{m }40\text{cm} \\ & =2(9x)=4.4\text{m} \\ & =18x=4.4\text{m} \\ & \Rightarrow x=\frac{4.4}{18} \\ & =0.244\text{m} \\ \end{align}

Therefore, the dimensions of the rectangular box will be

\begin{align} & l=4x \\ & =4\times 0.244 \\ & =0.976\text{ cm} \\ & =97.6\text{ m} \\ & b=5x \\ & =5\times 0.244 \\ & =1.22\text{ cm} \\ & =122\text{ m} \\ \end{align}

Q3. How many square tiles each of side $0.25\,\text{m}$ will be required to pane the floor of a room which is $4\,\text{m}$broad and $3\,\text{m}$ long?

Ans:

Given: Length of room, $l=4\,\text{m}$

Breadth of the room, $b=3\,\text{m}$

Area of the room will be

\begin{align} & =4\times 3\,\text{square meters} \\ & =12\,\text{square meters} \\ \end{align}

Side of square tile =0.25 m

\begin{align} & =\frac{1}{4}\,\text{m} \\ \end{align}

Area of each square tile will be

\begin{align} & =\left( \frac{1}{4}\times \frac{1}{4} \right)\,\text{sq}\text{. meters} \\ & =\frac{1}{16}\,\text{sq}\text{. meters} \\ \end{align}

Therefore, number of tiles needed to pane the floor of the room will be

\begin{align} & =12\div \frac{1}{16} \\ & =12\times 16 \\ & =192\,\,\text{tiles} \\ \end{align}

Q4. Calculate area( all units are in m)

We need to find the area of the figure.

We know that area of rectangle $=l\times b$

So, area of rectangle, $1={{A}_{1}}=l\times b$

\begin{align} & =3\times 1 \\ & =3\text{ sq}\text{. meters} \\ \end{align}

Area of rectangle, $2={{A}_{2}}=l\times b$

\begin{align} & =6\times 1 \\ & =6\text{ sq}\text{. meters} \\ \end{align}

Area of rectangle, $3={{A}_{3}}=l\times b$

Therefore, area of the figure will be

\begin{align} & A={{A}_{1}}+{{A}_{2}}+{{A}_{3}} \\ & =3+6+3 \\ & =12\text{ sq}\text{. meters} \\ \end{align}

## Long Answer Questions. 4 Marks

Q1. Find the perimeter of a regular heptagon having each side equal to $5.5\text{ cm}$

Given: A regular heptagon with side $5.5\text{ cm}$

We need to find the perimeter of the heptagon.

We know that perimeter is the length of outer sides of a figure.

Regular heptagon means a figure of $7$ sides and all sides are equal.

Therefore, the perimeter of the heptagon will be

\begin{align} & =7\times \text{side} \\ & =7\times 5.5 \\ & =38.5\text{ cm} \\ \end{align}

Q2. Find the perimeter of the below figure and the figure is symmetrical about its horizontal axis.

Given: the figure which is symmetrical about its horizontal axis.

We need to find the perimeter of the given figure.

We know that the perimeter is the total length of all sides of the given figure.

Therefore, perimeter of the given figure will be

\begin{align} & =8+16+4+12+12+4+16 \\ & =8+20+21+20 \\ & =70\text{ cm} \\ \end{align}

Q3. Find the area of the following figure with each square of area $1\text{ c}{{\text{m}}^{\text{2}}}$.

Given: The figure having each square of area $1\text{ c}{{\text{m}}^{\text{2}}}$

Total number of squares the figure have $=16$

Area of one square $=1\text{ c}{{\text{m}}^{\text{2}}}$

Therefore, the area of the figure will be

\begin{align} & =16\times 1\text{ c}{{\text{m}}^{\text{2}}} \\ & =16\text{ c}{{\text{m}}^{\text{2}}} \\ \end{align}

Q4. Find area of rectangle whose length and breadth are $35\text{ cm}$ and $15\text{ cm}$. Find the perimeter of the rectangle.

Given: length of rectangle, $l=35\text{ cm}$

Breadth of rectangle, $b=15\text{ cm}$

We need to find the area and perimeter of the rectangle.

Therefore, area will be

\begin{align} & =35\times 15 \\ & =525\text{ c}{{\text{m}}^{2}} \\ \end{align}

Also, we know that perimeter of a rectangle $=2(l+b)$

Therefore, perimeter will be

\begin{align} & =2(35+15) \\ & =2\times 50 \\ & =100\text{ cm} \\ \end{align}

## Long Answer Questions.                                              5 Marks

Q1. The cost of cultivating a square field is $\text{Rs}.130\text{ per meter}$ is $\text{Rs}\text{. }8,450$ . Find the length of each side of the field.

Given: Cost of cultivating a square field $=\text{Rs}.130\text{ per meter}$

Total cost of cultivating the square field $=\text{Rs}\text{. }8,450$

We need to find the length of the side of square field.

Area of square field $=\frac{\text{Total cost of cultivating}}{\text{Per meter cost of cultivating}}$

\begin{align} & =\frac{8450}{130} \\ & =65\text{ }{{\text{m}}^{2}} \\ \end{align}

Now, we know that area of a square $=\text{side}\times \text{side}$

Therefore, the length of the each side of square field will be

\begin{align} & 65=\text{side}\times \text{side} \\ & {{\text{s}}^{\text{2}}}=65 \\ & \text{s}=\sqrt{65} \\ & \text{s}=8.06\text{ cm} \\ \end{align}

Class 6 maths chapter 10 important questions set can be downloaded in PDF format entirely free of cost. However, you can even study the same from Vedantu's website. All the problems are worked out as per the latest CBSE rules and written in a step by step manner, making it feasible for everyone to understand.

## Mensuration Questions for Class 6 Overview

Important questions for class 6 maths chapter 10: questions carrying 1 mark.

In the first section of class 6 mensuration questions PDF, you will see eight fill in the blank questions of 1 mark each. It is one of the easiest portions, and you must be thorough with the formulas and concepts to precisely answer these questions.

## Important Questions for Class 6 Maths Chapter 10: Questions Carrying 2 Marks

This segment in the PDF of important questions for class 6 maths mensuration contains 5 questions of 2 marks each. Here, you are supposed to solve the problems and find out the perimeter, area, cost of fencing a field, etc. of different shapes like square, rectangle and circle. Hence, knowing the right formula is immensely important to get correct answers.

You can refer to the solutions provided in this PDF and recapitulate knowledge of the mensuration chapter.

## Important Questions for Class 6 Maths Chapter 10: Questions Carrying 3 Marks

Here, in questions on mensuration for class 6 PDF, the questions are complicated than the previous ones. For instance, a rectangular field's length and width are provided, and it is said that a watchman has walked 5 rounds. You are asked to find out the total distance he covered.

Similar type of questions are there in the important question material, and you must go through each sum to be thorough with the solution procedures.

## Important Questions for Class 6 Maths Chapter 10: Questions Carrying 4 Marks

This section in CBSE class 6 maths mensuration questions consist of four questions, out of which three of them are diagram based. Figures with some of the dimensions are given, and you are required to find out the perimeter, area, etc. of the same.

## Important Questions for Class 6 Maths Chapter 10: Questions Carrying 5 Marks

The final section contains only three questions. First one is related to finding the length of one side of a field, the second one is about evaluating the perimeter of a given rectangle, and the last one requires you to calculate the breadth of a room.

All the necessary dimensions are provided; all you need to do is take the right approach and put the right formula to solve the sums.

So, make sure to download Vedantu's important questions for class 6 maths chapter 10 and revise the techniques to solve problems more quickly.

## What are the Benefits of Important Questions from Vedantu for Class 6 Maths Chapter 10 - Mensuration

Explore the advantages of Vedantu's Important Questions for Class 6 Maths Chapter 10 - "Mensuration." Tailored to the chapter's essence, these benefits include focusing on key topics for efficient study, alleviating exam anxiety, reinforcing fundamental concepts, imparting effective time management skills, enabling self-assessment and progress tracking, fostering a strategic approach for higher scores, covering a broad range of topics for comprehensive understanding, and providing crucial support for exam preparation, instilling confidence in class 7 students with simplicity and clarity.

## Important Related Links for CBSE Class 6 Maths

 CBSE Class 6 Maths Study Materials

Delve into the key questions of Class 6 Maths Chapter 10 - "Mensuration" for a comprehensive understanding. The additional and crucial questions engage in focused discussions, covering all themes of the chapter. This method, centred on questions and answers, proves efficient for exam preparation, saving time, aiding in chapter revision, and enhancing comprehension. Regular practice of these essential questions simplifies preparation and instils confidence for upcoming exams.

## FAQs on Important Questions for CBSE Class 6 Maths Chapter 10 - Mensuration

1. What is the syllabus of class 10 CBSE maths?

Class 10 CBSE maths syllabus comprises of fourteen chapters in total. The unit names are Whole numbers, Basic Geometrical Ideas, Knowing Our Numbers, Understanding Elementary Shapes, Playing with Numbers, Integers, Fractions, Decimals, Algebra, Data Handling, Symmetry, Ratio and Proportion, Mensuration and Practical Geometry.

2. What are the uses of mensuration in day to day life?

Mensuration has a vast number of uses in real life. For instance, measurement of land, sites, floors for real estate purposes, evaluation of item quantities like milk, solid items, other edible or non-edible items, etc. Furthermore, mensuration is also necessary for estimating the cost of fencing, painting, covering a floor with carpet, etc.

Apart from these, mensuration is essential for constructing overhead tanks and knowing the water level and quantity in lakes or rivers.

3. What are the kinds of 2-D and 3-D geometrical shapes used in mathematics?

2-D objects or shapes consist of only two dimensions: length and breadth, whereas 3-D objects have three dimensions – length, breadth and thickness. However, 2-D objects are not available in the real world and can be only depicted on paper or plane surfaces. Some of the widely used 2-D shapes are circle, square, triangle, rectangle, hexagon and pentagon.

On the other hand, 3-D objects have volume and total surface area, and some of its examples are the pyramid, cone, triangle prism, cuboid, cube, cylinder, etc.

4. How many exercises are there in Chapter 10 ‘Mensuration’ of Class 6 Maths?

Ans: There are three exercises in Chapter 10 ‘Mensuration’ of Class 6 Maths. These exercises are listed as Exercise 10.1, Exercise 10.2 and Exercise 10.3. You can check out Vedantu’s official website (vedantu.com) if you want the answers to textbook questions. Additionally, this website will provide you with a lot of study material including important questions and answers, notes of the chapter, mock test papers, etc absolutely free of cost. It explains every single concept of the chapter in detail.

5. What steps do I need to follow to get important questions of Chapter 10 of Class 6 Maths?

Ans: To get important questions of Chapter 10 ‘Mensuration’ of Class 6 Maths, you need to go through the mentioned steps.

Check out Vendantus's website .

This link will land you on the important questions webpage of Vedantu where you will find all the study stuff related to Chapter 10 ‘Mensuration’ of Class 6 Mathematics book.

6. What should I do to prepare well for the Chapter 10 of Class 6 Maths exam?

Ans: If you want to prepare well for the Chapter 10 ‘Mensuration’ of Class Maths exam then you must attend your school lectures regularly. You must not lose focus when your Maths teacher is teaching the chapter or solving the textbook questions. You are required to revise this chapter at your home. While understanding the chapter, you can make a separate notebook for formula and solving textbook exercises questions. These notebooks will help you to revise the chapter at a faster pace during your exam and you’ll be able to recall things easily.

7. What is Mensuration according to Chapter 10 of Class 6 Maths?

Ans: Mensuration is a branch of Mathematics that is related to the study of geometric figures. It involves the calculation of important parameters of the figures including length, volume, area, surface area, lateral surface area, etc. This branch of maths deals with the methods of calculation, important equations and properties of different geometric figures and shapes along with their applications. Mensuration helps to identify the size, density and region of both two-dimensional and three-dimensional figures.

8. Explain some important terms of Mensuration as mentioned in Chapter 10 of Class 6 Maths.

Ans: The important terms of Mensuration are as follows.

Area- It is defined as the surface occupied by any object. It is represented with the letter A. It has an SI unit in squares. For example, meter square, centimetre square, etc.

Perimeter- It is defined as the boundary’s total length. It is expressed with the letter P and is represented with a square unit.

Volume- It is the space occupied by a three-dimensional object. This property is only found in 3-D shapes or objects that include an additional parameter of height. It is denoted with the symbol V and is represented with cube units. For example- metre cube, centimetre cube, etc.

## Chapter wise Important Questions for CBSE Class 6 Maths

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## Important Questions for CBSE Class 6 Maths Chapter 3 – Playing with Numbers

Home » CBSE » Important Questions for CBSE Class 6 Maths Chapter 3 – Playing with Numbers

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Maths is one of the  important subjects taught in school. We require Maths in our daily life to develop the power of analytical skills, reasoning and we begin with mathematical abilities to deal   with numbers in lower classes.

Chapter 3 of Class 6 Maths is about playing with numbers. It includes prime and composite numbers, divisibility, factors and multiples. It also includes two vital concepts- Highest Common Factor (HCF) and Lowest Common Multiple (LCM). The chapter is quite lengthy  and has different questions, and students must practise questions from this chapter to clear their concepts.

Extramarks is a leading educational company that helps students by providing different study materials.  Extramarks subject experts identify the importance of practising questions regularly. For this purpose, they have prepared  the Important Questions Class 6 Maths Chapter 3. They have collected several important questions and provided the solutions in the question series. You may follow this article to solve different types of questions.

Extramarks, one of the leading educational platforms, believes in incorporating the best learning experiences through its own repository.To enjoy the maximum benefit of these resources,one may register on the official website of Extramarks and download a wide range of study materials. We provide CBSE syllabus, NCERT books, CBSE past years’ question papers , CBSE extra questions , CBSE sample papers, CBSE revision notes , NCERT solutions, NCERT important questions and much  more.

## Get Access to CBSE Class 6 Maths Important Questions with Solutions

Also, get access to CBSE Class 6 Maths Important Questions for other chapters too:

 1 Chapter 1 2 Chapter 2 3 Chapter 3 Playing with Numbers 4 Chapter 4 5 Chapter 5 6 Chapter 6 7 Chapter 7 8 Chapter 8 9 Chapter 9 10 Chapter 10 11 Chapter 11 12 Chapter 12 13 Chapter 13 14 Chapter 14

## Playing with Numbers Class 6 Extra Questions With Answers

As stated  above,Extramarks faculty experts have collected the questions from different sources like the textbook exercise, NCERT exemplar and reference books. They have taken help from CBSE past years’ question papers and CBSE sample question papers. They have provided the answers to the questions. Thus, students will find questions and solutions in the Important Questions Class 6 Maths Chapter 3 article extremely beneficial. The following are some of the important questions – to get an overview of the questions  and for further practice one may sign up at Extramarks website.

## Question 1. Write down all the factors of the following numbers given below:

24 = 1 × 24

Stop here as factors of  4 and 6  have already been counted. .

Therefore, the factors of 24 are – 1,2,3,4,6,8,12 and 24

15 = 1 × 15

Stop here, as factors of  3 and 5 have already been counted.

Therefore, the factors of 15 are – 1, 3, 5 and 15

21 = 1 × 21

Stop here, as factors 3 and 7 have occurred earlier.

Therefore, the factors of 21 are – 1, 3, 7 and 21

27 = 1 × 27

Stop here, as 3 and 9 have occurred earlier.

Therefore, the factors of 27 are – 1, 3, 9 and 27

12 = 1 × 12

Stop here, as the factors of 3 and 4 have already occurred earlier.

Therefore, the factors of 12 are – 1, 2, 3, 4, 6 and 12

20 = 1 × 20

20 = 2 × 10

Stop here as the factors of 4 and 5 have occurred earlier.

Therefore, the factors of 20 are – 1, 2, 4, 5, 10 and 20

18 = 1 × 18

Stop here, as 3 and 6 have already occurred earlier.

Therefore, the factors of 18 are – 1, 2, 3, 6, 9 and 18

23 = 1 × 23

23 = 23 × 1

As 1 and 23 have occurred earlier

Therefore, the factors of 23 are – 1 and 23

36 = 1 × 36

36 = 2 × 18

36 = 3 × 12

Stop here since both factors (6) are the same. Therefore, the factors of 36 are – 1, 2, 3, 4, 6, 9, 12, 18 and 36.

## Question 2. Write the first five multiples of:

(i) The required five multiples are –

Therefore, the first five multiples of 5 are 5, 10, 15, 20 and 25.

(ii) The required multiples are:

Therefore, the first five multiples of 8 are 8, 16, 24, 32 and 40.

(iii) The required multiples are:

Therefore, the first five multiples of 9 are 9, 18, 27, 36 and 45.

## Question 3. State whether the following statements are True(T) or False(F) –

(i) The total sum of three odd numbers is even.

(ii) The total sum of two odd numbers and one even number is even.

(iii) The product of 3 odd numbers is odd.

(iv) If an even number is divided by two, the quotient is always odd.

(v) All prime numbers are odd.

(vi) Prime numbers don’t have any factors.

(vii) The sum of two prime numbers is always even.

(viii) Two is the only even prime number.

(ix) All the even numbers are composite numbers.

(x) The product of 2 even numbers is always even.

(i) False. The sum of 3 odd numbers is odd.

For example: 7 + 9 + 5 = 21 i.e odd number

(ii) True. The sum of 2 odd numbers and 1  even number is even.

For example: 3 + 5 + 8 = 16 i.e is an even number.

(iii) True. The product of 3 odd numbers is odd.

For example: 3 × 7 × 9 = 189 i.e is an odd number.

(iv) False. If an even number is divided by two, the quotient is even.

For example: 8 ÷ 2 = 4

(v) False, All the prime numbers are not odd.

Example: Two is a prime number, but it is also an even number.

(vi) False. Since one and the number itself are factors of the number

(vii) False. The sum of 2 prime numbers may also be an odd number

For example: 2 + 5 = 7  which is an odd number.

(viii) True. 2 is the only even and the lowest prime number.

(ix) False. Since 2 is a prime number but not a composite number.

(x) True. The product of 2 even numbers is always even.

For example: 2 × 4 = 8 which is an  even number.

## Question 4. The numbers 13 and 31 both are prime numbers. Both of these numbers have the same digits, one and three. Find such pairs of all the prime numbers up to 100.

The prime number pairs with the same digits up to 100 are as follows:

(a) 17 and 71

(b) 37 and 73

(c) 79 and 97

## Question 5. Write down separately the prime and composite numbers which are less than 20.

2,3,5,7,11,13,17 and 19 are the prime numbers less than 20

4,6,8,9,10,12,14,15,16 and 18 are the composite numbers less than 20

Question 6. What is the greatest prime number between 1 and 10?

2,3,5 and 7 are the prime numbers between 1 and 10. 7 is the greatest prime number among them.

Question 7. Express the following given numbers as the sum of two odd primes.

(i) 3 + 41 = 44

(ii) 5 + 31 = 36

(iii) 5 + 19 = 24

(iv) 5 + 13 = 18

## Question 8. Which of the following numbers is prime?

1 × 23 = 23

23 × 1 = 23

Therefore, 23 has only 2 factors, that is, 1 and 23. Hence, it is a prime number.

1 × 51 = 51

3 × 17 = 51

Therefore 51 has 4 factors that are 1, 3, 17 and 51. So, it is not a prime number, and it is a composite number.

1 × 37 = 37

37 × 1 = 37

Therefore 37 has 2 factors, 1 and 37. Hence, it is a prime number.

1 × 26 = 26

2 × 13 = 26

Therefore 26 has 4 factors 1, 2, 13 and 26. So, it is not a prime number, and it is a composite number.

## Question 9. Express each of the following given numbers as the sum of 3 odd primes:

(i) 3 + 5 + 13 = 21

(ii) 3 + 5 + 23 = 31

(iii) 13 + 17 + 23= 53

(iv) 7 + 13 + 41 = 61

## Question 10. Write 5 pairs of prime numbers less than 20 whose sum is divisible by five. (Hint: 3 + 7 = 10)

The 5 pairs of prime numbers less than 20 whose sum is divisible by 5 are

(i) 2 + 3 = 5

(ii) 2 + 13 = 15

(iii) 3 + 17 = 20

(iv) 7 + 13 = 20

(v) 19 + 11 = 30

## Question 11. Fill in the blanks:

(i) A number with only two factors is called a ______.

(ii) A number with more than two factors is called a ______.

(iii) 1 is neither ______ nor ______.

(iv) The smallest prime number is ______.

(v) The smallest composite number is _____.

(vi) The smallest even number is ______.

(i) A number with only two factors is called a prime number.

(ii) A number with more than two factors is called a composite number.

(iii) 1 is neither a prime number nor a composite number.

(iv) The smallest prime number is 2

(v) The smallest composite number is 4

(vi) The smallest even number is 2.

## Question 12. By using divisibility tests, determine which of the following given numbers are divisible by 6:

(vi) 438750

(vii) 1790184

(viii) 12583

(ix) 639210

As the last digit of the number is four. Therefore, the number is divisible by two.

By adding  up all the digits of the number, we get 27 which is divisible by three. Hence, the number is divisible by 3

∴ The number is divisible by both two and three. Hence, the number is divisible by 6

As the last digit of the number is eight. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 16 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by both two and three. Therefore, the number is not divisible by six.

Since the last digit of the number is five, which is not divisible by two. Hence, the number is not divisible by two.

By adding all the digits of the number, we get 15 divisible by three. Therefore, the number is divisible by three.

∴ The number is not divisible by two. . Hence, the number is not divisible by six.

As the last digit of the number is three, which is not divisible by two. Hence, the number is not divisible by two.

By adding  up all the digits of the number, we get 15 divisible by three. Hence, the number is divisible by three.

∴ The number is not divisible by two.. Hence, the number is not divisible by six.

As the last digit of the number is two. Hence, the number is divisible by two.

The sum of all the digits of the number, we get 20 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by  three. Hence, the number is not divisible by six.

As the last digit of the number is zero. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 27 which is divisible by three. Hence, the number is divisible by three.

∴ The number is divisible by both two and three. Hence, the number is divisible by six.

As the last digit of the number is four. Hence, the number is divisible by two.

By adding  up all the digits of the number, we get 30 divisible by 3. Hence, the number is divisible by 3

As the last digit of the number is three. Hence, the number is not divisible by two

By adding  all the digits of the number, we get 19 which is not divisible by three. Hence, the number is not divisible by three.

∴ The number is not divisible by both two and three. Hence, the number is not divisible by six

By adding  up all the digits of the number, we get 21 which is divisible by three. Hence, the number is divisible by three

By summing up all the digits of the number, we get 23 which is not divisible by three. Hence, the number is not divisible by three.

## Question 13. Find the common factors of:

(i) 20 and 28

(ii) 15 and 25

(iii) 35 and 50

(iv) 56 and 120

1, 2, 4, 5, 10 and 20 are factors of 20

1, 2, 4, 7, 14 and 28 are factors of 28

Common factors = 1, 2, 4

1, 3, 5 and 15 are the factors of 15

1, 5 and 25 are the factors of 25

Common factors = 1, 5

1,5,7 and 35 are the factors of 35

1, 2, 5, 10, 25 and 50 are the factors of 50

1,2,4,7,8,14,28 and 56 are the factors of 56

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60 and 120 are factors of 120

Common factors = 1, 2, 4, 8

## Question 14. Using divisibility tests, determine which of the following given numbers are divisible by 11:

(iii) 7138965

(iv) 70169308

(v) 10000001

(vi) 901153

Sum of digits at odd places = 5 + 4

Sum of digits at even places = 4 + 5

Difference between odd place and even place= 9 – 9 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is zero. Hence, 5445 is divisible by 11

Sum of digits at the odd places = 4 + 8 + 1

Sum of digits at the even places = 2 + 0

Difference = 13 – 2 = 11

As the difference between the sum of digits at odd places and the sum of digits at even places is 11, which is divisible by 11. Hence, 10824 is divisible by 11

Sum of digits at the odd places = 5 + 9 + 3 + 7 = 24

Sum of digits at the even places = 6 + 8 + 1 = 15

Difference = 24 – 15 = 9

As, the difference between the sum of digits at odd places and the sum of digits at even places is nine, which is not divisible by 11. Hence, 7138965 is not divisible by 11

Sum of digits at the odd places = 8 + 3 + 6 + 0

Sum of digits at the even places = 0 + 9 + 1 + 7

Difference = 17 – 17 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is 0. Hence, 70169308 is divisible by 11

Sum of digits at odd places = 1

Sum of digits at even places = 1

Difference = 1 – 1 = 0

As the difference between the sum of digits at odd places and the sum of digits at even places is 0. Hence, 10000001 is divisible by 11

Sum of digits at the odd places = 3 + 1 + 0

Sum of digits at the even places = 5 + 1 + 9

Difference = 15 – 4 = 11

As, the difference between the sum of digits at odd places and the sum of digits at even places is 11, which is divisible by 11. Hence, 901153 is divisible by 11.

## Question 15. Which of the following statements is true?

(i) If the number is divisible by 3, it must be divisible by 9.

(ii) If the number is divisible by 9, it must be divisible by 3.

(iii) A number is divisible by 18 if it is divisible by both 3 and 6.

(iv) If a number is divisible by 9 and 10, then it must be divisible by 90.

(v) If two numbers are co-primes, at least one of them must be prime.

(vi) All numbers divisible by four must also be divisible by 8.

(vii) All numbers divisible by eight must also be divisible by 4.

(viii) If a number exactly divides two numbers separately, it must exactly divide their sum.

(ix) If a number exactly divides the sum of two numbers, it must divide the two numbers separately.

(i) False, six is divisible by three but is not divisible by 9

(ii) True, as 9 = 3 × 3. Therefore, if a number is divisible by nine, it will also be divisible by 3

(iii) False. Since 30 is divisible by both three and six but is not divisible by 18.

(iv) True, as 9 × 10 = 90. Therefore, if the number is divisible by both nine and ten, then it is divisible by 90

(v) False, because 15 and 32 are co-primes and also composite numbers.

(vi) False, as 12 is divisible by four but is not divisible by 8

(vii) True, as 2 × 4 = 8. Therefore, if a number is divisible by eight, it will also be divisible by 2 and 4.

(viii) True, as 2 divides 4 and 8 and it also divides 12 (4 + 8 = 12)

(ix) False, since 2 divides 12, but it does not divide 7 and 5

## Benefits of Solving Class 6 Maths Chapter 3 Extra Questions

Extramarks believes in incorporating the best learning experiences through its own repository.To enjoy the maximum benefit of these resources , students just need to register themselves at Extramarks official website and stay ahead of the competition. Practice is a key to getting  better in Maths. Students must solve questions as much as possible to clear their concepts. The experts identify the importance of practice. For this purpose, they have made the Important Questions Class 6 Maths Chapter 3 to help students. They have collected the questions from various sources and provided the answers too. Experienced professionals have further checked the solutions to ensure the best  content for students. Thus, students will have multiple benefits if they follow the Important Questions Class 6 Maths Chapter 3. The benefits are-

• The textbook exercise is often not enough for students. So, they must take help from other references. The experts  have collected questions from different sources so that students need not search for similar study materials for further practice elsewhere. Apart from the textbook, they have taken help from CBSE sample papers and CBSE past years’ question papers. Thus, students  have a complete set of practice study materials at their disposal not just for Maths but for other subjects as well. Students will find one of them in the class 6 playing with numbers extra questions . So, it will help students in revising and practising to get a 100% score in Maths.
• Only solving questions may not be enough to score better in exams. Students must check the answers and get feedback. Sometimes, there can be errors in their processes of solving a problem. Keeping this fact in mind, the experts have also solved the questions and provided detailed solutions with step by step explanation. Experienced professionals have further checked the answers to ensure the answers are foolproof. . Thus, students will find the questions and the solutions in the Important Questions Class 6 Maths Chapter 3.
• The experts have tried to include every kind of question that is usually expected  in exams from the chapter. They have also included questions from past years’ question papers to provide an idea of possible types of questions in exams. Apart from this, they have given the answers in the Chapter 3 Class 6 Maths Important Questions so that students check the answers and solve their doubts. Thus, if students follow the question series, it will increase their confidence, strengthen their knowledge of maths and help them in their  performance.

Extramarks subject experts understand the importance of solving important questions and we take our role seriously to provide the best resource to the students and help them excel in academics We provide a large variety of study materials. Like the Maths Class 6 Chapter 3 Important Questions, you will find important questions from other chapters of Maths Class 6. Register on the official website of Extramarks to access  a wide range of materials like the CBSE syllabus , NCERT books, CBSE sample papers, CBSE past years’ question papers, NCERT exemplar, NCERT solutions, vital formulas and much  more. The links to the following study materials are given below –

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Q.1 A greatest 3 ?digit number exactly divisible by 8, 10 and 14 is:

The prime factors of 8 = 2 × 2 × 2

The prime factors of 10 = 2 × 5

The prime factors of 14 = 2 × 7

LCM of 8, 10 and 14 = 2 × 2 × 2 × 5 × 7

The greatest number of 3 digits is 999.

999/280 gives, quotient = 3, remainder = 159

Therefore, the greatest 3-digit number exactly divisible by 8, 10 and 12 = 999 ? 159 = 840.

Q.2 Rajesh bought two barrels of oil of capacities 75 litres and 69 litres. The maximum capacity of a container, which can measure the oil in exact number of times, is

The prime factors of 75 = 3 × 5 × 5

The prime factors of 69 = 3 × 23

HCF of 75 and 69 is 3.

Therefore, the maximum capacity of a container used to measure the oil in exact number of times is 3 litres.

Q.3 Which of the following are co-prime numbers?

The common factor of 7 and 14 is 7, so these are not co-primes.

The common factor of 8 and 24 is 8, so these are not co-primes.

The common factor of 15 and 21 is 3, so these are not co-primes.

The common factor of 7 and 15 is 1, so these are co-primes.

Q.4 What is the HCF of two prime numbers?

The HCF of two prime numbers is 1.

Q.5 Find the prime factorisation of 96.

2 96 2 48 2 24 2 12 2 6 2 3 1

Prime factorisation of 96 is 2 — 2 — 2 — 2 — 2 — 3

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Cbse important questions for class 6 maths, chapter 1 - knowing our numbers.

## Chapter 2 - Whole Numbers

Chapter 4 - basic geometrical ideas, chapter 5 - understanding elementary shapes, chapter 6 - integers, chapter 7 - fractions, chapter 8 - decimals, chapter 9 - data handling, chapter 10 - mensuration, chapter 11 - algebra, chapter 12 - ratio and proportion, chapter 13 - symmetry, chapter 14 - practical geometry, faqs (frequently asked questions), 1. what does class 6 maths chapter 3 contain.

Chapter 3 of Class 6 Maths is about the relationship between numbers. It deals with prime and compound numbers, divisibility, factors and multiples etc. It contains two main concepts- Highest Common Factor or HCF and Lowest Common Multiple or LCM. Students must practise questions from this chapter as a wide range of questions can be made from the chapter. You can follow the Important Questions Class 6 Maths Chapter 3 compiled  by our experts. Apart from questions, you will also find solutions. So, it will greatly help you in preparing for exams.

## 2. Is Class 6 Maths Chapter 3 tough?

Students may find this chapter a bit  difficult because it is lengthy and contains different concepts. One can take help from the Important Questions Class 6 Maths Chapter 3 to clear the concepts. Ideas like HCF and LCM may be a new concept for  the students. So, they must practise questions to get conceptual clarity. . But the chapter is not complex; students can easily understand the subject matter if they sincerely follow the textbook and practice regularly.

## 3. How can the Important Questions Class 6 Maths Chapter 3 help students?

Students must practise questions as much as possible to score better in exams. The experts of Extramarks have collected all types of questions from different sources and provided the solutions with a step-by-step process.  Experts  have taken help from the NCERT textbook, CBSE past years’ question papers and NCERT exemplar to collect the questions. Thus, students will find different questions and solutions in the Important Questions Class 6 Maths Chapter 3. It will help them to improve their mathematical skills and problem-solving ability to get a 100% score in Maths. Register yourself now and get started now without any further delay.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

## Algebra Class 6 Extra Questions Maths Chapter 11

June 12, 2019 by Bhagya

Extra Questions for Class 6 Maths Chapter 11 Algebra

## Algebra Class 6 Extra Questions Very Short Answer Type

Question 1. Six less than a number equals to two. What is the number? Solution: Let the number be ‘x’. According to condition, we have x – 6 = 2 By inspections, we have 8 – 6 = 2 ∴ x = 8 Thus, the required number is 8.

Question 2. Write an algebraic expression for each of the following: (a) 3 subtracted from a number y. (b) 5 is added to three times a number x. Solution: (a) The required expression is y – 3 (b) The required expression is 5 + 3x

Question 3. Write an algebraic expression for the following expressions: (a) The sum of a number x and 4 is doubled. (b) One fourth of a number x is added to one third of the same number. Solution: (a) The required expression is 2 x (x + 4) (b) The required expression is $$\frac { 1 }{ 4 }$$x + $$\frac { 1 }{ 3 }$$x

Question 4. Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number. Solution: Required number is (3x + 5) Now we have to subtract y from the result i.e., 3x + 5 – y

Question 6. If the side of an equilateral triangle is x, find its perimeter. Solution: We know that the three sides of an equilateral triangle are equal. ∴ x + x + x = 3x. Thus, the required perimeter = 3x units.

Question 7. If x = 3, find the value of the following: (i) x + 5 (ii) 2x – 3 (iii) x – 7 (iv) $$\frac { x }{ 3 }$$ – 1 Solution: Given that x = 3 (i)x + 5 = 3 + 5 = 8 (ii) 2x – 3 = 2 x 3 – 3 = 6 – 3 = 3 (iii) x – 7 = 3- 7 = -4 (iv) $$\frac { x }{ 3 }$$ – 1 = $$\frac { 3 }{ 3 }$$ -1 = 1 – 1 = 0

Question 8. If x = 2, y = 3 and 2 = 5, find the value of; (a) 2x + y + z (b) 4x -y + z (c) x – y + z Solution: (a) Given that: x – 2, y = 3 and z = 5 ∴ 2x + y + 2 = 2 x 2 + 3 + 5 = 4 + 3 + 5 = 12 (b) 4x – y + z = 4 x 2 – 3 + 5 = 8 – 3 + 5 = 5 + 5 = 10 (c) x – y + z = 2 – 3 + 5 = -1 + 5 = 4

Question 9. State which of the following are equations with a variable? (a) 12 = x – 5 (b) 2x > 7 (c) $$\frac { x }{ 2 }$$ = 5 (d) 5 + 7 = 3 + 9 (e) 7 = (11 x 5) – (12 x 4) Solution: (a) 12 = x – 5 is an equation with a variable x. (b) 2x > 7 is not an equation because it does not have ‘=’ sign. (c) $$\frac { x }{ 2 }$$ = 5 is an equation with a variable x. (d) 5 + 7 = 3 + 9 is not an equation because it has no variable. (e) 7 = (11 x 5) – (12 x 4) is not an equation because it has no variable.

Question 10. Think of a number, add 2 to it and then multiply the sum by 6, the result is 42. Solution: Let the number be x. ∴ Sum of x and 2 = x + 2 Now by multiplying the sum by 6, we get 6 × (x + 2) = 42 ⇒ 6 × x + 6 × 2 = 42 ⇒ 6x + 12 = 42 By inspection, we get 6 × 5 + 12 = 42 ⇒ 30 + 12 = 42 ∴ 42 = 42 So, the required number = 5

## Algebra Class 6 Extra Questions Higher Order Thinking Skills (HOTS)

Question 16. A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar. Solution: Time taken by A to reach Amritsar = 12.00 noon – 6.00 am = 6 hour. The uniform speed of the car = x km/ hr ∴ Total distance covered by A = Time x speed = 6x km. ∴ Distance between Delhi and Amritsar = (6x + 50) km.

Question 17. Anshika’s Score in Science is 15 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science. Solution: Anshika’s score in Sanskrit = x ∴ Her marks in Science = $$\frac { 2 }{ 3 }$$x +15 ∴ Thus, Anshika’s score in Science = $$\frac { 2 }{ 3 }$$x + 15

## Extra Questions for Class 6 Maths

Ncert solutions for class 6 maths, free resources.

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## CBSE Class 6 Maths Sample Paper 2023-24 PDF Free Download (Latest)

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Practicing Maths questions is important before appearing in the CBSE Class 6 Maths exam. Therefore, here at Selfstudys we provide the CBSE Class 6 Maths Sample Paper which is prepared by our subject matter experts.

The experts have gone through the CBSE Class 6 Maths Syllabus and previous year question papers to understand the exam pattern and marking scheme to prepare the CBSE Class 6 Maths Sample Paper.

By solving these class 6 sample papers, a student can develop a better grip on various types of Maths questions that are often asked in the annual examination. Links for CBSE class 6 Maths sample papers free download are given on this page.

## CBSE Class 6 Maths Sample Paper with Solution

Since, CBSE Class 6 students do self-study during their final exam preparation, they need study material that can help them to easily prepare for the Maths exam. The CBSE Class 6 Maths Sample Paper with Solution is one of the best study resources that allow them to get the answers of each question in a simple and easy to understand manner.

The solutions of class 6 Maths sample papers are also prepared by our experts so that learners can easily understand how to answer a particular question from the exam point of view.

## Set-Wise CBSE Class 6 Maths Sample Paper PDF

No matter how many times you solve Class 6 Maths questions, it will only be effective if you solve different types of questions from the same Maths syllabus. Keeping in mind the CBSE Class 6 Syllabus , our subject experts have developed Set-Wise CBSE Class 6 Maths Sample Paper PDF which is absolutely free of cost to download.

CBSE Class 6 Maths Sample Paper Term-I 2021 Set - 1

CBSE Class 6 Maths Sample Paper Term-I 2021 Set - 2

CBSE Class 6 Maths Sample Paper s Term-I 2021 Set - 3

CBSE Class 6 Maths Sample Paper Term-I 2021 Set - 4

CBSE Class 6 Maths Sample Paper Term-I 2021 Set - 5

CBSE Class 6 Maths Sample Paper Term-II 2021 Set - 1

CBSE Class 6 Maths Sample Paper Term-II 2021 Set - 2

Referring to these downloaded CBSE Class 6 Maths sample papers PDF, a student can revise their studied topics, they can practice a lot of Maths questions that will help them to build confidence and perform better in the annual examination.

Go through the CBSE class 6 Maths sample papers free download steps below, to know how to get access to the sample question papers for better revision and exam preparation. These download process are super simple and in a few seconds, student can access their free CBSE class 6 Maths sample papers in PDF file format:-

• Open Selfstudys website

• Click on CBSE from the navigation button
• Once the popup will open click on Sample papers
• A new page will open where you need to click on the class “6”
• Now in the new page, a list of sample papers will open where you have to click on Maths

## Why Someone Should Use CBSE Class 6 Maths Sample Paper?

All the CBSE Class 6 students should use CBSE Class 6 Maths Sample papers so that they can be thorough with the final exam question papers. Apart from that, referring to the CBSE Class 6 Maths Sample Papers, students get to know about the important topics, marks distribution and a set of easy to difficult questions. Therefore, referring to the CBSE sample question paper for class 6 Maths is advised.

## Use CBSE Class 6 Maths Sample Paper To Know Everything About Annual Question Papers Before Appearing in the exam

Annual exam preparation isn’t an easy task to do. Students are full of confusion about the types of questions, the numbers awarded for each question and the exam time duration. In that case, CBSE Class 6 Maths Sample Paper is beneficial as it helps them to reveal the question’s types, exam duration, and even level of difficulty.

With the help of CBSE sample paper 2023-24 class 6 Maths, students can easily be prepared for the annual Question Papers before appearing in the exam. Links to download them are given on this website for free of cost.

## Benefits of Practicing CBSE Class 6 Maths Sample Paper

There are a bunch of benefits of practicing CBSE Class 6 Maths Sample Paper. A few advantages are listed below:

• A thorough revision

Free CBSE class 6 Maths sample papers are the best way to give a thorough revision to all the topics and subtopics that are covered in CBSE Class 6 Maths.

• Assist in practicing easy and tough questions

Whether you have covered your Class 6 Maths syllabus or not, the questions in the final exam will be asked as per the syllabus. Therefore, it is important to practice all kinds of questions, including easy and tough ones. The CBSE class 6 Maths sample question paper can help students to solve those questions before appearing in the actual exam.

• Time estimations for actual Class 6 Maths Question Papers

Practicing the CBSE class 6 Maths final exam sample papers not only helps in being thorough with the whole syllabus and difficulty level of questions, but it helps in estimating the time required to solve the entire Maths question papers.

## Study Tips For Final Exam Using CBSE Class 6 Maths Sample Paper With Solution

The class 6 annual exam preparation shouldn’t be tough by following the below given study tips:-

• Solve the Maths question papers PDF without any additional support and then use CBSE Class 6 Maths Sample Paper With Solution to cross check the answers.
• In CBSE Class 6 Maths Sample Paper With Solution, the answers are written by subject matter experts who have years of experience so, refer to them to learn the methodology of answering questions.
• Whether it is CBSE class 6 Maths half yearly sample papers or final exam question papers, referring to it assists in understanding the time requirements for answering the questions in the actual exam. So, don’t forget to include Class 6 sample papers in your preparation to have a better exam preparation. It has also a benefit, that learners can be through with the most repeated or important questions.

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## Case Study Questions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for class 6 maths Chapter 4 Basic Geometrical Ideas .

Case Study Question 1:

The students were asked to draw a closed figure with few points inside the figure, few points outside the figure and few on the boundary of the figure. One of the child drew a figure like this:

(i) Where do points C, Z, M lie in the figure. (a) Interior (b) Exterior (c) On the boundary (d) None of the above.

Ans. Option (a) is correct. Explanation: Points C, Z and M lie in the interior of the figure.

Ans. Option (a) is correct.

Explanation: Points Q, R, O, S lie outside the given figure.

(iii) What kind of figure is it ? (a) Point (b) Simple closed figure (c) Circle (d) None

Ans. Option (b) is correct. Explanation: A closed figure that does not intersect itself is called a simple closed figure.

(iv) Tick the open figures from the following

Sol. Figures (c) and (d) are open. Explanation: Figure that begin at one point and end at other point is open figure.

(v) Write any two letters of the English alphabet which are closed figures.

Sol. D and O

## Related Posts

Maths class 6 chapter list, latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

## Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

## Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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1. Case Study Questions for Class 6 Maths

Tips for Answering Case Study Questions for Class 6 Maths in Exam. 1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution. 2.

2. CBSE Case Study Questions Class 6, 7, 8, 9,10, 11 and 12

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4. Case Study Questions Class 6 Maths Factors and Multiples

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6. Extra Questions for Class 6 Maths with Solutions

Extra Questions for Class 6 Maths with Solutions Chapter Wise are given for the students so that they can get to know the answers to the questions in case they are not able to find it. It is important for all the students who are in Class 6 currently. Here we are providing the solutions based on all the chapters of NCERT Mathematics Class 6 Textbook for the students.

7. Latest Chapter Wise Extra Questions for Class 6 Mathematics

These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam.

8. Important Questions for Class 6 Maths Whole Numbers

1. Explanation: 1 is a natural number has no predecessor as 1 -1 =0 which is not a natural number. 0. Explanation: smallest whole number is zero as whole number is a collecion od zero and all natural numbers. and all natural numbers are gretare than zero. 123 × × 8 + 3 = 987. Explanation: 1 × × 8 + 1 = 9. 12 × × 8 + 2 = 98.

9. Important Questions for CBSE Class 6 Maths Chapter 10

Mensuration helps to identify the size, density and region of both two-dimensional and three-dimensional figures. 8. Explain some important terms of Mensuration as mentioned in Chapter 10 of Class 6 Maths. Ans: The important terms of Mensuration are as follows. Area- It is defined as the surface occupied by any object.

10. Playing With Numbers Class 6 Questions And Answers

Question 3. State whether the following statements are True (T) or False (F) -. (i) The total sum of three odd numbers is even. (ii) The total sum of two odd numbers and one even number is even. (iii) The product of 3 odd numbers is odd. (iv) If an even number is divided by two, the quotient is always odd.

11. Classroom Case Studies, 6-8

Classroom Case Studies, 6-8. Watch this program in the 10th session for grade 6-8 teachers. Explore how the concepts developed in this course can be applied through case studies of grade 6-8 teachers (former course participants) who have adapted their new knowledge to their classrooms. [/callout] Part B: Reasoning About Number and Operations.

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13. Case Study Questions for Class 6 Maths Chapter 1 Knowing Our Numbers

Knowing Our Numbers Case Study Questions. Case Study Question 1: The population of Delhi in 2017 was 19072564 and it increased to 25704625 in 2021. (i) Write the population of 2021 in words. (a) two crore fifty seven lakh four thousand six hundred twenty five. (b) twenty five lakh seventy thousand six hundred twenty five.

14. Algebra Class 6 Extra Questions Maths Chapter 11

Algebra Class 6 Extra Questions Short Answer Type. Question 11. The side of a regular hexagon is s cm. Find its perimeter. Solution: Each side of a regular hexagon = s. ∴ its perimeter = s + s + s + s + s + s = 6s cm. Question 12. If a = 3, b = 1 2 and c = 1 4, find the value of. Solution:

15. CBSE Class 6 Maths Sample Paper 2023-24 PDF Free Download ...

These download process are super simple and in a few seconds, student can access their free CBSE class 6 Maths sample papers in PDF file format:-. Open Selfstudys website. Click on CBSE from the navigation button. Once the popup will open click on Sample papers. A new page will open where you need to click on the class "6".

16. Case Study Questions for Class 6 Maths Chapter 3 Playing with Numbers

Here you will find case study questions for class 6 maths Chapter 3 Playing with Numbers. Case Study Question 1: A florist had 200 roses, 180 marigold and 320 orchids with him. He was asked to make garlands of flowers with only roses or only marigold or only orchids each containing the some number of flowers. (i) The correct prime factorisation ...

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18. Case Study Questions for Class 6 Maths Chapter 7 Fractions

Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for class 6 maths Chapter 7 Fractions. Case Study Question 1: Parul and two of her friends share pizza equally among themselves. Q.1.

19. Case Study Questions for Class 6 Maths Chapter 2 Whole Numbers

Here you will find case study questions for class 6 maths chapter 2 whole numbers. Case Study Question 1: Ritesh and his wife book seats H13 and H14 for a show. They order some snacks from the menu below. Burger. ₹ 170. Cold drink. ₹ 180. Popcorn.

20. Case Study Questions for Class 6 Maths Chapter 10 Mensuration

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study's context. 11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

21. Case Study Questions for Class 6 Maths Chapter 4 Basic Geometrical

Case Study Question 1: The students were asked to draw a closed figure with few points inside the figure, few points outside the figure and few on the boundary of the figure. One of the child drew a figure like this: (i) Where do points C, Z, M lie in the figure. (a) Interior. (b) Exterior. (c) On the boundary.