Problem Set 27 Class 5 Maths Chapter 6 Angles Question Answer Maharashtra Board

Angles Class 5 Problem Set 27 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 6 Angles

Question 1.
Give two examples of parallel lines you can see in your environment.
Answer:
(i) Bars on the window.
(ii) Horizontal lines in the notebook are the examples of parallel lines.

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

Question 2.
Give two examples of perpendicular lines you can see in your environment.
Answer:
(i) The angles formed by a pole and its shadow on the ground.
(ii) The adjacent sides of a notebook.

Question 3.
Look at the pictures given below. Decide whether the lines given in each picture are parallel or perpendicular to each other and write the answer in the box.
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 18
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 1

Angles Problem Set 27 Additional Important Questions and Answers

Question 1.
Give some examples of perpendicular lines from capital letters of the English alphabet.
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 2

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

Question 2.
Complete the following:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 3
Answer:
(1) ZDEF or ZFED, Vertex E, arms are ED
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 16
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 17

Question 3.
Which of the following figures show angle?
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 4
Answer:
Figure 3

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

Question 4.
(A) Measure the angles given below and write the measure in the given boxes:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 5
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 6
Answer:
(1) 30°
(2) 135°
(3) 90°
(4) 50°
(5) 90°
(6) 150°

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

B) Classify the above figures according to types of the angles.
Answer:
Acute angles: (1) and (4),
Right angles: (3) and (5),
Obtuse angles: (2) and (6)

Question 5.
Draw and name the following angles with the help of a protractor:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 7
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 8
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 9
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 10
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 11
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 12
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 13
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 14
Answer:
Students to draw angles.

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

Question 6.
Look at the pictures given below. Decide whether the lines given in each picture are parallel or perpendicular to each other and write the answer in the box:
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 25 15
Answer:
(1) Parallel lines
(2) Perpendicular lines
(3) Perpendicular lines
(4) Parallel lines

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 27

Question 7.
Say, true or false of the following:
(1) Parallel lines do not intersect each other.
(2) Pole and its shadow on the ground makes a cute angle.
(3) Angle between two parallel lines is 90°.
(4) Angle between two intersecting lines may or may not be 90°.
Answer:
(1) True
(2) False
(3) False
(4) True

Maharashtra Board Class 5 Maths Solutions

Problem Set 19 Class 5 Maths Chapter 5 Fractions Question Answer Maharashtra Board

Fractions Class 5 Problem Set 19 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 5 Fractions

Write the proper symbol from < , > , or = in the box.

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 1
Answer:
=

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 2
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 3
Answer:
<

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 4
Answer:
=

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 5
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 6
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 7
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 8
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 9
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 10
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 11
Answer:
=

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 12
Answer:
=

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 13
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 14
Answer:
>

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 15
Answer:
<

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 16
Answer:
>

Addition of like fractions
Example (1) 3/7 + 2/7 = ?
Let us divide a strip into 7 equal parts. We shall colour 3 parts with one colour and 2 parts with another.
The part with one colour is 3/7, and that with the other colour is 2/7.
The total coloured part is shown by the fraction 5/7.
It means that, \(\frac{3}{7}+\frac{2}{7}=\frac{3+2}{7}=\frac{5}{7}\)
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 17

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19

Example (2) Add : \(\frac{3}{8}+\frac{2}{8}+\frac{1}{8}\)
The total coloured part is \(\frac{3}{8}+\frac{2}{8}+\frac{1}{8}=\frac{3+2+1}{8}=\frac{6}{8}\)
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 18

When adding like fractions, we add the numerators of the two fractions and write the denominator as it is.
Example (3) Add : 2/6 + 4/6 \(\frac{2}{6}+\frac{4}{6}=\frac{2+4}{6}=\frac{6}{6}\)
However, we know that 6/6 means that all 6 of the 6 equal parts are taken. That is, 1 whole figure is taken. Therefore, 6/6 = 1.

Note that:
If the numerator and denominator of a fraction are equal, the fraction is equal to one.
That is why, \(\frac{7}{7}=1 ; \frac{10}{10}=1 ; \frac{2}{5}+\frac{3}{5}=\frac{2+3}{5}=\frac{5}{5}=1\)
Remember that, if we do not divide a figure into parts, but keep it whole, it can also be written as 1.
This tells us that \(1=\frac{1}{1}=\frac{2}{2}=\frac{3}{3}\) and so on.
You also know that if the numerator and denominator of a fraction have a common divisor, then the fraction obtained by dividing them by that divisor is equivalent to the given fraction.
\(\frac{5}{5}=\frac{5 \div 5}{5 \div 5}=\frac{1}{1}=1\)

Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19

Fractions Problem Set 19 Additional Important Questions and Answers

Question 1.
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 19
Answer:
>

Question 2.
Maharashtra Board Class 5 Maths Solutions Chapter 5 Fractions Problem Set 19 20
Answer:
=

Maharashtra Board Class 5 Maths Solutions

Problem Set 51 Class 5 Maths Chapter 13 Three Dimensional Objects and Nets Question Answer Maharashtra Board

Three Dimensional Objects and Nets Class 5 Problem Set 51 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 13 Three Dimensional Objects and Nets

Question 1.
The first column shows a structure made of blocks. The other columns show different views of the structure in two dimensions. Say whether each view is from the front, from a side or from above.
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 1
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 10
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 18

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

Question 2.
Draw three pictures of each of these three-dimensional objects – a table, a chair and a water bottle as viewed from the front, from a side and from above.
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 12
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 13

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

Nets
Last year we saw that cutting some edges of a box and laying it out flat gives us the net from which it was made.
The two dimensional shape from which a three dimensional object can be made by folding is called the ‘net’ of that object.

  1. By folding the cardboard shown below, along the lines shown in it, we get a three dimensional object (box). In this shape, all surfaces are square.
    An object of this shape is called a cube.
    Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 2
  2. The net of another cardboard box is shown in the figure below. By folding along the lines in this net and joining the edges to each other, we can see that a three dimensional box is formed. The surfaces of this box are rectangular in shape.
    An object of this shape is called a cuboid.
    Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 3

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

Activity :
Draw the nets shown below on card sheet. Cut out the shapes and find out the shapes of the boxes they form.
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 4

A five-square net (Pentomino)

In the figure alongside, five squares of the same size are placed together with their sides joined.
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 5
Such an arrangement of five squares is called a ‘five-square net’ or a ‘pentomino’.

By folding along the edges of such a five-square net, an open box is formed.

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 6

Activity :
Some five-square nets are given below. Draw these nets on a card sheet. Make open boxes from these nets.
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 7
Try to find out other five-square nets that can be used to make open boxes.

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

A riddle
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 8
The net of a cube-shaped dice is given alongside. If a dice is made of this net, which of the following shapes will it definitely not resemble?
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 9

Chapter 12 Perimeter and Area Problem Set 49 Additional Important Questions and Answers

Question 1.
Draw the pictures of each of these three dimensional objects – Mobile, Oil tin as viewed from the front, from a side and from above.
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 16

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

Question 2.
The three dimensional figure of block formation is shown in the figure along side. Draw as view from the front, from a side and from above (fig. drawn in answer part)
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 17

Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51

Question 3.
Draw the nets shown below on card sheet. Cut out the shapes and find out the shapes of the boxes they form.
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 14
Maharashtra Board Class 5 Maths Solutions Chapter 13 Three Dimensional Objects and Nets Problem Set 51 15

Maharashtra Board Class 5 Maths Solutions

Problem Set 38 Class 5 Maths Chapter 9 Decimal Fractions Question Answer Maharashtra Board

Decimal Fractions Class 5 Problem Set 38 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 9 Decimal Fractions

Read the decimal fraction and write down the place value of each digit.

(1) 6.13
Answer:
Six point one three.
Here 6 is in the units place. Hence, its place value is 6 x 1 = 6
1 is in tenths place. Hence, its place value is
\(1 \times \frac{1}{10}=0.1\)
3 is in the hundredths place. Its place value is 3 x \(\frac{1}{100}\) = 0.03 100

Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38

(2) 48.84
Answer:
Fourty eight point eight four
Place value of 4 is 4 x 10 = 40 and of 8, it is 8 x 1 = 8
Place value of 8 is 8 x \(\frac{1}{10}=\frac{8}{10}\) = 0.8 and
Place value of 4 is 4 x \(\frac{1}{100}=\frac{4}{100}\) = 0.04

(3) 72.05
Answer:
Seventy two point zero five
Place value of 7 is 7 x 10 = 70 and of 2 is, it is 2 x 1 = 2
Place value of 5 is 5 x \(\frac{1}{100}=\frac{5}{100}\) = 0.05

(4) 3.4
Answer:
Three point four.
Place value of 3 is 3 x 1 = 3
Place value of 4 is 4 x \(\frac{1}{10}\) = 0.4

Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38

(5) 0.59
Answer:
Zero point five nine.
Place value of 5 is 5 x \(\frac{1}{10}=\frac{5}{10}\) = 0.5 and
Place value of 9 is 9 x \(\frac{1}{100}=\frac{9}{100}\) = 0.09

Use of decimal fractions

Sir : Now we will see how 24.50 equals 24 rupees and 50 paise. How many rupees is one paisa?
Sumit : 100 paise make one rupee, therefore, 1 paisa is one-hundredth of a rupee or 0.01 rupee.
Sir : And 50 paise are?
Sumit : 50 hundredths of a rupee, or 0.50 rupees, so 24.50 rupees is 24 rupees and 50 paise.
Sir : When a large unit of a certain quantity is divided into 10 or 100 parts to make smaller units, it is more convenient to write them in decimal form. As we just saw, 100 paise = 1 rupee. Similarly, 100 cm = 1 metre, so 75 cm = 0.75 m. 10 mm = 1 cm, so 1 mm = 0.1cm. 3 mm are 0.3 cm. 6.3 cm are 6 cm and 3 mm.

Now study the following table.

Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38 1 Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38 2

Decimal Fractions Problem Set 38 Additional Important Questions and Answers

(1) 12.34
Answer:
Twelve point three four.
Place value of 1 is 1 x 10 = 10
Place value of 2 is 2 x 1 = 2
Place value of 3 is 3 x \(\frac{1}{10}\) = 0.3
Place value of 4 is 4 x \(\frac{1}{100}\) = 0.04

Maharashtra Board Class 5 Maths Solutions Chapter 9 Decimal Fractions Problem Set 38

(2) 369,58
Answer:
Three hundred sixty nine point five eight. Place value of 3, which is in the hundreds place is 3 x 100 = 300
Place value of 6, which is in the tens place is 6 x 10 = 60
Place value of 9, which is in the units place is 9 x 1 = 9
Place value of 5, which is in the tenths place is 5 x \(\frac{1}{10}\) = 0.5
Place value of 8, which is in the hundredths place is 8 x \(\frac{1}{100}\) = 0.08

(3) 5.5
Answer:
Five point five.
Place value of 5, which is in the units place is 5 x 1 = 5
Place value of 5, which is in the tenths place is 5 x \(\frac{1}{10}\) = 0.5

Maharashtra Board Class 5 Maths Solutions

Problem Set 7 Class 5 Maths Chapter 3 Addition and Subtraction Question Answer Maharashtra Board

Addition and Subtraction Class 5 Problem Set 7 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 3 Addition and Subtraction

Question 1.
Add the following

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 1
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 9

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 2.
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 10

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 3
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 11

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 4
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 12

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7

Addition of six-digit and seven-digit numbers

Last year, you have learned to add five-digit numbers. Six-and seven-digit numbers can
be added using the same method.

Study the following examples.

Add :
Example (1)
1,43,057 + 4,21,689
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 6

Example (2)
26,42,073 + 7,39,478
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 5

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7

Example (3)
3,12,469 + 758 + 24,092
3 1 2 4 6 9
+ 7 5 8
+ 2 4 0 9 2
____________
3 3 7 3 1 9
____________

Example (4)
64 + 409 + 5,13,728
6 4
+ 4 0 9
+ 5 1 3 7 2 8
_____________
5 1 4 2 0 1
_____________

Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7

In the examples 3 and 4, the numbers are carried over mentally.

Question 2.
(1)
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 15
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 13

(2)
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 16
Answer:
Maharashtra Board Class 5 Maths Solutions Chapter 3 Addition and Subtraction Problem Set 7 14

Maharashtra Board Class 5 Maths Solutions

Problem Set 48 Class 5 Maths Chapter 12 Perimeter and Area Question Answer Maharashtra Board

Perimeter and Area Class 5 Problem Set 48 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 12 Perimeter and Area

Question 1.
Write the perimeter of each figure in the box given below it.

(1)
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 1
Solution:
Perimeter [ ] DABCD
= 20 + 16 + 7 + 14
= 57 cm

∴ 57 cm

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

(2)
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 3
Solution:
Perimeter of the figure
= 12 + 18 + 8 + 8 + 18
= 64m

∴ 64m

(3)
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 2
Solution:
Perimeter of the figure
= 10 + 6 + 6 + 10 + 8 + 8
= 48 cm

∴ 48 cm

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

Question 2.
If a square of side 1 cm is cut out of the corner of a larger square with side 3 cm (see the figure), what will be the perimeter of the remaining shape?
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 4Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 5
Solution:
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 13
Perimeter
= 2 + 3 + 3 + 2 + 1 + 1
= 12 cm

∴ 12 cm

Formula for the perimeter of a rectangle

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 6
Perimeter = length + breadth + length + breadth Opposite sides of a rectangle are of the same length.
So, the perimeter of a rectangle
= twice the length + twice the breadth
= 2 × length + 2 × breadth

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

Perimeter of a rectangle = 2 × length + 2 × breadth

Example : The length of the rectangle below is 7 cm and its breadth, 3 cm. Let us find its perimeter.
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 7

Perimeter of rectangle PQRS = 2 × length + 2 × breadth
= 2 × 7 + 2 × 3
= 14 + 6
= 20
Therefore, the perimeter of the rectangle is 20 cm.

Formula for the perimeter of a square

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 8 The lengths of all the sides of a square are equal. Therefore, the perimeter of a square = four times the length of one of its sides.

Perimeter of a square = 4 × the length of one side

Example : The length of one side of a square is 6 cm. Find its perimeter. The perimeter of a square is four times the length of one side.
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 9
Perimeter of a square = 4 × length of one side
= 4 × 6
= 24

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

Therefore, the perimeter of the square is 24 cm.

Word problems

Example (1) The length of a rectangular park is 100 m, while its width is 80 m. What is its perimeter?

Perimeter of the rectangle = 2 × length + 2 × breadth
= 2 × 100 + 2 × 80
= 200 + 160
= 360

The perimeter of the rectangular park is 360 m.

Example (2) How much wire will be needed to put a triple fence around a square plot with side 30 m? What will be the total cost of the wire at ₹ 70 per metre ?

To put a single fence around the square plot, we need to find its perimeter.

Perimeter of a square = 4 × length of one side = 4 × 30 = 120

The perimeter of the square plot is 120 metres. Since the fence is to be a triple fence, we must triple the perimeter.

120 × 3 = 360 m of wire will be needed.

Now let us find out how much the wire will cost. One metre of wire costs ₹ 70.

Therefore, the cost of 360 m of wire will be 360 × 70 = 25, 200.

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

The total cost of wire for putting a triple fence around the plot will be ₹ 25, 200.

Perimeter and Area Problem Set 48 Additional Important Questions and Answers

Question 1.
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 10
Solution:
Perimeter of the figure
= 2 + 6 + 2 + 6
= 16 cm

∴ 16 cm

Question 2.
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 11
Solution:
Perimeter of the figure
= 3 + 3 + 3 + 3
= 12 cm

∴ 12 cm

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48

Question 3.
Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 12
Solution:
Perimeter of the figure
= 12 + 13 + 5
= 30 cm

∴ 30 cm

Question 4.
If four squares of side 1 cm ¡s cut out of all the corners of a larger square with side 4 cm (see the figure), what will be the perimeter of the remaining shape?

Maharashtra Board Class 5 Maths Solutions Chapter 12 Perimeter and Area Problem Set 48 14
Solution:
Perimeter
= 2 + 1 + 1 + 2 + 1 + 1 + 2 + 1 + 1 + 2 + 1 + 1
= 16 cm

∴ 16 cm

Maharashtra Board Class 5 Maths Solutions

Problem Set 25 Class 5 Maths Chapter 6 Angles Question Answer Maharashtra Board

Angles Class 5 Problem Set 25 Question Answer Maharashtra Board

Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 Textbook Exercise Important Questions and Answers.

Std 5 Maths Chapter 6 Angles

Measure the angles given below and write the measure in the given boxes.
Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 1
Answer:
(1) 40°
(2) 120°
(3) 90°
(4) 85°

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25

Drawing an angle of the given measure
Example Draw ∠ABC of measure 70°.
B is the vertex of∠ABC and BA and BC are its arms.

1. First draw arm BC with a ruler.
Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 2

2. Since B is the vertex, we must draw a 70° angle at that point.
Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 3

Put the centre of the protractor on B. Place the protractor so that the baseline lies on arm BC. Count the divisions starting from the 0 near point C. Mark a point with your pencil at the division that shows 70°. Lift the protractor.

Draw a line from vertex B through the point marking the 70° angle. Name the other end of the line A.
Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 4

∠ABC is an angle of measure 700.
Rahul and Sayali drew ∠PQR of measure 800 as shown below.
Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 5

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25

Teacher : Have Rahul and Sayali drawn the angles correctly?
Shalaka : Sir, Rahul’s angle is wrong. Sayali’s angle is correct.
Teacher : Why is Rahul’s angle wrong?
Rahul : I counted 10, 20, 30…from the left and drew the angle at 80.
Teacher : Rahul measured the angle from the left. Under the baseline on the left of Q, there is nothing. The arm of the angle is on the right of Q. Therefore, the point should have been marked 80° counting from the right side, that is, on the side on which point R lies.

Angles Problem Set 25 Additional Important Questions and Answers

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 6
Answer:
60°

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 7
Answer:
110°

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 8
Answer:
100°

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25

Maharashtra Board Class 5 Maths Solutions Chapter 6 Angles Problem Set 25 9
Answer:
90°

Maharashtra Board Class 5 Maths Solutions

Practice Set 31 Class 6 Answers Maths Chapter 13 Profit-Loss Maharashtra Board

Profit-Loss Class 6 Maths Chapter 13 Practice Set 31 Solutions Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 13 Profit-Loss Class 6 Practice Set 31 Answers Solutions.

Std 6 Maths Practice Set 31 Solutions Answers

Question 1.
The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was.

Ex.Cost price (in Rs)Selling price (in Rs)Profit or LossHow much?
i.45005000
ii.41004090
iii.700799
iv.1000920

Solution:

i. Cost price = Rs 4500
Selling price = Rs 5000
Selling price is greater than cost price.
∴ There is a profit.
∴ Profit = Selling price – Cost price
= 5000 – 4500
Profit = Rs 500

ii. Cost price = Rs 4100
Selling price = Rs 4090
Cost price is greater than selling price.
∴ There is a loss.
∴ Loss = Cost price – Selling price
= 4100 – 4090
∴ Loss = Rs 10

iii. Cost price = Rs 700
Selling price = Rs 799
Selling price is greater than cost price.
∴ There is a profit.
∴ Profit = Selling price – Cost price
= 799 – 700
∴ Profit = Rs 99

iv. Cost price = Rs 1000
Selling price = Rs 920
Cost price is greater than selling price.
∴ There is a loss.
∴ Loss = Cost price – Selling price
= 1000 – 920
∴ Loss = Rs 80

Ex.Cost price (in Rs)Selling price (in Rs)Profit or LossHow much?
i.45005000ProfitRs 500
ii.41004090LossRs 10
iii.700799ProfitRs 99
iv.1000920LossRs 80

Question 2.
A shopkeeper bought a bicycle for Rs 3000 and sold the same for Rs 3400. How much was his profit?
Solution:
Cost price = Rs 3000, Selling price = Rs 3400
∴ Profit = Selling price – Cost price
= 3400 – 3000
= Rs 400
The shopkeeper’s profit was Rs 400.

Question 3.
Sunandabai bought milk for Rs 475. She converted it into yogurt and sold it for Rs 700. How much profit did she make?
Solution:
∴ Cost price = Rs 475, Selling price = Rs 700
∴ Profit = Selling price – Cost price
= 700 – 475
= Rs 225
∴ Sunandabai made a profit of Rs 225.

Question 4.
The Jijamata Women’s Saving Group bought raw materials worth Rs 15000 for making chakalis.
They sold the chakalis for Rs 22050. How much profit did the WSG make?
Solution:
Cost price of raw materials = Rs 15000
Selling price of chakalis = Rs 22050
∴ Profit = Selling price – Cost price
= 22050 – 15000
= Rs 7050
∴ The Women’s Saving Group made a profit of Rs 7050.

Question 5.
Pramod bought 100 bunches of methi greens for Rs 400. In a sudden downpour, 30 of the bunches on his handcart got spoil. He sold the rest at the rate of Rs 5 each. Did he make a profit or a loss? How much?
Solution:
Cost price of 100 bunches of methi green = Rs 400
Since, 30 bunches got spoil,
∴ Remaining bunches of methi green = 100 – 30 = 70
Selling price of 1 bunch of methi green = Rs 5
∴ Selling price of 70 bunches of methi green = 5 x 70 = Rs 350
Cost price is greater than selling price
∴ Pramod suffered a loss.
Loss = Cost price – Selling price
= 400 – 350
= Rs 50
∴ Pramod suffered a loss of Rs 50.

Question 6.
Sharad bought one quintal of onions for Rs 2000. Later he sold them all at the rate of Rs 18 per kg. Did he make a profit or incur a loss? How much was it?
Solution:
Cost price of one quintal onions = Rs 2000
Selling price of 1 kg onions = Rs 18
Since, 1 quintal = 100 kg
∴ Selling price of 1 quintal (100 kg) onions = 18 x 100 = Rs 1800
Cost price is greater than selling price
∴ Sharad suffered a loss.
∴ Loss = Cost price – Selling price
= Rs 2000 – Rs 1800
= Rs 200
∴ Sharad incurred a loss of Rs 200.

Question 7.
Kantabai bought 25 saris from a wholesale merchant for Rs 10000 and sold them all at Rs 460 each. How much profit did Kantabai get in this transaction?
Solution:
Cost price of 25 saris = Rs 10000
Selling price of 1 sari = Rs 460
∴ Selling price of 25 saris = 460 x 25 = Rs 11500
Selling price is greater than cost price.
∴ Profit = Selling price – Cost price
= 11500 – 10000
= Rs 1500
∴ Kantabai made a profit of Rs 1500.

Maharashtra Board Class 6 Maths Chapter 13 Profit-Loss Practice Set 31 Intext Questions and Activities

Question 1.
Pranav and sarita had set up stalls in a fun fair. Study the data given below and answer the questions. (Textbook pg. no. 65)
Maharashtra Board Class 6 Maths Solutions Chapter 13 Profit-Loss Practice Set 31 1
Maharashtra Board Class 6 Maths Solutions Chapter 13 Profit-Loss Practice Set 31 2
Solution:
Total amount invested by Pranav = 70 + 25 + 45 + 14 + 20 = Rs 174
Amount gained through sale = Rs 160
∴ Selling price is less than invested price.
∴ Pranav incurred a loss in his Pav Bhaji business. Hence, he is disappointed.

Total amount invested by Sarita = 20 + 10 + 30 + 50 + 20 + 60 = Rs 190
Amount gained by selling = Rs 230
∴ Selling price is more than invested price.
∴ Sarita made profit in her business. Hence, she is happy.

Question 2.
For the above example,

  1. If Sarita had bought twice as much, would she have gained twice as much?
  2. What should Pranav do the next time he sets up a stall to sell more pav bhaji and make more gains? (Textbook pg. no. 66)

Solution:

  1. If Sarita would have bought twice as much, she would have prepared double quantity of food items. Hence, she would have gained twice as much.
  2. Next time Pranav sets a stall, he must sell pav bhaji at a higher cost than he had sold earlier in order to make more gains.

6th Std Maths Digest Pdf Download

Practice Set 22 Class 6 Answers Maths Chapter 8 Divisibility Maharashtra Board

Divisibility Class 6 Maths Chapter 8 Practice Set 22 Solutions Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 8 Divisibility Class 6 Practice Set 22 Answers Solutions.

Std 6 Maths Practice Set 22 Solutions Answers

Question 1.
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. If He / She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Maharashtra Board Class 6 Maths Solutions Chapter 8 Divisibility Practice Set 22 1
Solution:
Each child will have flowers bearing the following numbers:
Girl with basket number 3: 111, 369, 435, 249, 666, 450, 960, 432, 999, 72, 336, 90, 123, 108
Boy with basket number 4: 356, 220, 432, 960, 72, 336, 108
Girl with basket number 9: 369, 666, 450, 432, 999, 72, 90, 108

Maharashtra Board Class 6 Maths Chapter 8 Divisibility Practice Set 22 Intext Questions and Activities

Question 1.
Read the numbers given below. Which of these numbers are divisible by 2, by 5, or by 10? Write them in the empty boxes. 125,364,475,750,800,628,206,508,7009,5345,8710. (Textbook pg. no. 43)

Divisible by 2Divisible by 5Divisible by 10

Solution:

Divisible by 2Divisible by 5Divisible by 10
364,750, 800, 628, 206, 508, 8710125,475, 750, 800, 5345, 8710750, 800, 8710

Question 2.
Complete the following table: (Textbook pg. no. 43)

NumberSum of digits in the numberIs the sum divisible by 3?Is the given number divisible by 3?
636 + 3 = 9
87217XX
91
552
9336
4527

Solution:

NumberSum of digits in the numberIs the sum divisible by 3?Is the given number divisible by 3?
636 + 3 = 9
8728 + 7 + 2 = 17XX
919 + 1 = 10XX
5525 + 5 + 2 = 12
93369 + 3 + 3 + 6 = 21
45274 + 5 + 2 + 7 = 18

Question 3.
Complete the following table: (Textbook pg. no. 44)

NumberDivide the number by 4. Is it completely divisible?The number formed by the digits in the tens and units places.Is this number divisible by 4?
99292
7314
6448
8116
7773
3024

Solution:

NumberDivide the number by 4. Is it completely divisible?The number formed by the digits in the tens and units places.Is this number divisible by 4?
99292
7314X14X
644848
811616
7773X73X
302424

Question 4.
Complete the following table: (Textbook pg. no. 44)

NumberDivide the number by 9. Is it completely divisible?Sum of the digits in the number.Is the sum divisible by 9?
19801 + 9 + 8 + 0 = 18
2999X2 + 9 + 9 + 9 = 29X
5004
13389
7578
69993

Solution:

NumberDivide the number by 9. Is it completely divisible?Sum of the digits in the number.Is the sum divisible by 9?
19801 + 9 + 8 + 0 = 18
2999X2 + 9 + 9 + 9 = 29X
50045 + 0 + 0 + 4 = 9
13389X1 + 3 + 3 + 8 + 9 = 24X
75787 + 5 + 7 + 8 = 27
699936 + 9 + 9 + 9 + 3 = 36

6th Std Maths Digest Pdf Download

Practice Set 9 Class 6 Answers Maths Chapter 4 Operations on Fractions Maharashtra Board

Operations on Fractions Class 6 Maths Chapter 4 Practice Set 9 Solutions Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 4 Operations on Fractions Class 6 Practice Set 9 Answers Solutions.

Std 6 Maths Practice Set 9 Solutions Answers

Question 1.
Convert into improper fractions:
i. \(7 \frac{2}{5}\)
ii. \(5 \frac{1}{6}\)
iii. \(4 \frac{3}{4}\)
iv. \(2 \frac{5}{9}\)
v. \(1 \frac{5}{7}\)
Solution:
i. \(7 \frac{2}{5}\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 1

ii. \(5 \frac{1}{6}\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 2

iii. \(4 \frac{3}{4}\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 3

iv. \(2 \frac{5}{9}\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 4

v. \(1 \frac{5}{7}\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 5

Question 2.
Convert into mixed numbers:
i. \(\frac { 30 }{ 7 }\)
ii. \(\frac { 7 }{ 4 }\)
iii. \(\frac { 15 }{ 12 }\)
iv. \(\frac { 11 }{ 8 }\)
v. \(\frac { 21 }{ 4 }\)
v. \(\frac { 20 }{ 7 }\)
Solution:
i. \(\frac { 30 }{ 7 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 6

ii. \(\frac { 7 }{ 4 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 7

iii. \(\frac { 15 }{ 12 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 8

iv. \(\frac { 11 }{ 8 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 9

v. \(\frac { 21 }{ 4 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 10

v. \(\frac { 20 }{ 7 }\)
Maharashtra Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9 11

Question 3.
Write the following examples using fraction:
i. If 9 kg rice is shared among 5 people, how many kilograms of rice does each person get?
ii. To make 5 shirts of the same size, 11 meters of cloth is needed. How much cloth is needed for one shirt?
Solution:
i. Total quantity of rice = 9 kg
Number of people = 5
∴ Kilograms of rice received by each person = \(\frac { 9 }{ 5 }\)
∴ Each person will get \(\frac { 9 }{ 5 }\) kg of rice.

ii. Total meters of cloth = 11 meters
Number of shirts to be made = 5
Meters of cloth needed to make 1 shirt = \(\frac { 11 }{ 5 }\)
∴ Cloth needed to make 1 shirt is \(\frac { 11 }{ 5 }\) meters.

6th Std Maths Digest Pdf Download