Chapter 10. Mensuration CBSE Class VI (6th) Mathematics | Exercise 10.3 - Solutions

Things to remember...

• Area of a rectangle = length × breadth
• Area of the square = side × side

Question 1. Find the areas of the rectangles whose sides are :
(a) 3 cm and 4 cm
(b) 12 m and 21 m
(c) 2 km and 3 km
(d) 2 m and 70 cm

Chapter 10. Mensuration | CBSE Class 6th (VI) Mathematics | Exercise 10.2 - Solutions

Things to remember...

• The amount of surface enclosed by a closed figure is called its area.
• Surface Area of a figure  can be broken into exact numbers or approximate numbers of square units
• Depending upon the figure, some of square units may be completely covered, or partially covered.
• While using a squared paper, to calculate the area of a figure , we may use the  conventions :

Chapter 10. Mensuration | CBSE Class 6th (VI) Mathematics | Exercise 10.1 - Solutions

Things to remember...

• Perimeter is the distance covered once along the boundary of a closed figure .
• Perimeter of a rectangle = 2 × (length + breadth)
• Perimeter of a square = 4 × length of a side
• Perimeter of an equilateral triangle = 3 × length of a side

Question 1. Find the perimeter of each of the following figures :

CBSE Class 6th ( VI) Mathematics Chapter 12. Ratio and Proportion: Exercise 12.1 Solved

Things to remember..

When, we compared the two quantities in terms of ‘how many times’. This comparison is known as the Ratio. We denote ratio using symbol ‘:’ Consider the following example : DIsha’s weight is 15 kg and her father’s weight is 60 kg. How many times Father’s weight is of Isha’s weight? It is 4 times.
∴ The ratio of father’s weight to Disha’s weight = 60/15 = 4/1= 4:1  
1. There are 20 girls and 15 boys in a class. 
(a) What is the ratio of number of girls to the number of boys? 
(b) What is the ratio of number of girls to the total number of students in the class?
  

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.6 Solved

Things to remember...

1. To understand the parts of one whole (i.e. a unit) we represent a unit by a block. One block divided into 10 equal parts means each part is 1/10 (one-tenth) of a unit. It can be written as 0.1 in decimal notation. The dot represents the decimal point and it comes between the units place and the tenths place.

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.4

1. Express as rupees using decimals.

1. 5 paise
2. 75 paise
3. 20 paise
4. 50 rupees 90 paise
5. 725 paise

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.5

Things to remember

1. To understand the parts of one whole (i.e. a unit) we represent a unit by a block. One block divided into 10 equal parts means each part is 1/10(one-tenth) of a unit. It can be written as 0.1 in decimal notation. The dot represents the decimal point and it comes between the units place and the tenths place.

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.3

1. Which is greater?

1. 0.3 or 0.4
2. 0.07 or 0.02
3. 3 or 0.8
4. 0.5 or 0.05
5. 1.23 or 1.2
6. 0.099 or 0.19

CBSE Class 6th ( VI) Mathematics Chapter 3. Playing with Numbers: Exercise 3.7 Solved

1. Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Answer:

The Highest Common Factor (HCF) of 75kg and 69kg by weight will be the maximum value of weight which can measure the weight of the fertiliser exact number of times. To find HCF first we have to find prime factorisation of given numbers by weight i.e. 75 and 69

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.2

1. Complete the table with the help of these boxes and use decimals to write the number.

CBSE Class 6th ( VI) Mathematics Chapter 8. Decimals: Exercise 8.1 Solved

1. Write the following as numbers in the given table.

   

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.6

Things to remember.....

1. 1.  A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
   2. When expressing a situation of counting parts to write a fraction, it must be ensured that all parts are equal.
2. In   5/7 ,   5 is called the numerator and 7 is called the denominator.
3. Fractions can be shown on a number line. Every fraction has a point associated with it on the number line.

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.5 Solved

1. Write these fractions appropriately as additions or subtractions :   
 

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.4

Let us Remember..

1. Fractions with same denominators are called like fractions. For example, 1/15, 2/15, 3/15, 8/15 are all like fractions.
2. Fractions with different denominators are called unlike fractions. 11/27 and 9/28 are unlike fractions
3. For given any two fraction the fraction with the same denominator, the fraction with the greater numerator is greater. For example Between 4/5 and 3/5, 4/5 is greater. Between 11/20 and 13/20, 13/20 is greater and so on.

CBSE Class 6th ( VI) Mathematics Chapter 6. Integers: Exercise 6.3

Remember

1. Every positive integer is larger than every negative integer.
2. Zero is less than every positive integer.
3. Zero is larger than every negative integer.
4. Zero is neither a negative integer nor a positive integer.
5. Farther a number from zero on the right, larger is its value.

CBSE Class 6th ( VI) Mathematics Chapter 6. Integers: Exercise 6.2

Remember

1. Every positive integer is larger than every negative integer.
2. Zero is less than every positive integer.
3. Zero is larger than every negative integer.
4. Zero is neither a negative integer nor a positive integer.
5. Farther a number from zero on the right, larger is its value.

CBSE Class 6th ( VI) Mathematics Chapter 6. Integers: Exercise 6.1

Remember

1. Every positive integer is larger than every negative integer.
2. Zero is less than every positive integer.
3. Zero is larger than every negative integer.
4. Zero is neither a negative integer nor a positive integer.
5. Farther a number from zero on the right, larger is its value.

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.3 Solutions

1. Write the fractions. Are all these fractions equivalent?

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.2 Solutions

1. Proper Fraction :
   1. A proper fraction is a number representing part of a whole.
   2. In a proper fraction the denominator shows the number of parts into which the whole is divided and the numerator shows the
      number of parts we have taken out.
   3. In a proper fraction the numeratoris always less than the denominator.

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.1 Solutions

Remember....

1. A fraction means a part of a group or of a region.

2. 5
   	is a fraction. We read it as "five-twelfths".
   12

3. Here "12" stand for the number of equal parts into which the whole has been divided.
4. And "5" stand for the number of equal parts which have been taken out.
5. Here 5 is called the numerator and 12 is called the denominator.