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

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

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.

Std 6 Maths Digest

Practice Set 21 Class 6 Answers Maths Chapter 7 Symmetry Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 7 Symmetry Class 6 Practice Set 21 Answers Solutions.

Symmetry Class 6 Maths Chapter 7 Practice Set 21 Solutions Maharashtra Board

Std 6 Maths Practice Set 21 Solutions Answers

Question 1.
Along each figure shown below, a line l has been drawn. Complete the symmetrical figures by drawing a figure on the other side such that the line l becomes the line of symmetry.
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 21 1
Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 21 2

Maharashtra Board Class 6 Maths Chapter 7 Symmetry Practice Set 21 Intext Questions and Activities

Question 1.
In the figures below, the line l divides the figure in two parts. Do these parts fall on each other? Verify? (Textbook pg. no. 42)
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 21 3
Solution:
Yes, the two parts of both the figures fall on each other on folding along the line l.

Std 6 Maths Digest

Practice Set 30 Class 6 Answers Maths Chapter 12 Percentage Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 12 Percentage Class 6 Practice Set 30 Answers Solutions.

Percentage Class 6 Maths Chapter 12 Practice Set 30 Solutions Maharashtra Board

Std 6 Maths Practice Set 26 Solutions Answers

Question 1.
Shabana scored 736 marks out of 800 in her exams. What was the percentage she scored?
Solution:
Total marks of the examination = 800
Marks scored by Shabana = 736
Suppose Shabana scored A% marks.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 1
∴ A = 92%
∴ Shabana scored 92% marks.

Question 2.
There are 500 students in the school in Dahihanda village. If 350 of them can swim, what percent of them can swim and what percent cannot?
Solution:
Total number of students in the school = 500
Number of students who can swim = 350
Suppose A% students can swim.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 2
∴ A = 70%
Percentage of students who cannot swim = 100% – Percentage of students who can swim .
= 100% – 70% = 30%
∴ 70% of the students can swim and 30% cannot swim.

Question 3.
If Prakash sowed jowar on 75% of the 19500 sq. m. of his land, on how many sq. m. did he actually plant jowar?
Solution:
Total area of the land = 19500 sq. m.
Percentage of area in which Prakash sowed jowar = 75%
Suppose Prakash planted jowar in A sq. m.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 3
∴ A = 14,625 sq. m.
∴ Prakash planted jowar in 14,625 sq.m.

Question 4.
Soham received 40 messages on his birthday. Of these, 90% were birthday greetings. How many other messages did he get besides the greetings?
Solution:
Total messages received by Soham on his birthday = 40
Percentage of messages received for birthday greetings = 90%
Suppose Soham got A number of birthday greetings.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 4
∴ A = 36
∴ Number of messages received other than birthday greetings
= total messages received – total number of birthday greetings
= 40 – 36 = 4
∴ The number of messages received other than birthday greetings is 4.

Question 5.
Of the 5675 people in a village 5448 are literate. What is the percentage of literacy in the village?
Solution:
Number of people in the village = 5675
Number of people who are literate = 5448
Suppose the percentage of literacy in the village is A%.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 5
∴ A = 96%
∴ The percentage of literacy in the village is 96%.

Question 6.
In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while 1360 of the 1700 in Wadgaon cast theirs. In which village did a greater proportion of women cast their votes?
Solution:
Total number of women in Jambhulgaon = 1200
Number of women in Jambhulgaon who voted = 1080
Suppose A% women cast their vote in Jambhulgaon village.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 6
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 7
∴ A = 90%
In Jambhulgaon, the percentage of women who voted in the elections was 90%.
Total number of women in Wadgaon = 1700 Number of women in Wadgaon who voted = 1360
Suppose B% women cast their vote in Wadgaon.
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 8
∴ B = 80%
∴ In Wadgaon, the percentage of women who voted in the elections was 80%.
∴ A greater proportion of women cast their votes in Jambhulgaon.

Maharashtra Board Class 6 Maths Chapter 12 Percentage Practice Set 30 Intext Questions and Activities

Question 1.
There are 9 squares in the figure alongside. The letters ABCDEFGHI are written in squares. Give each of the letters a unique number from 1 to 9 so that every letter has a different number.
Besides, A + B + C = C + D + E = E + F + G = G + H + I should also be true. (Textbook pg. no. 64)
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 9
Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 12 Percentage Practice Set 30 10
(This is one of the possible solutions of the above riddle. There are more solutions possible.)

Std 6 Maths Digest

Practice Set 8 Class 6 Answers Maths Chapter 3 Integers Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 3 Integers Class 6 Practice Set 8 Answers Solutions.

Integers Class 6 Maths Chapter 3 Practice Set 8 Solutions Maharashtra Board

Std 6 Maths Practice Set 8 Solutions Answers

Question 1.
Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box:

6 9 -4 -5 0 +7 -8 -3
3 3 – 6 = -3
8 8 – (-5) = 13
-3
-2

Solution:

6 9 -4 -5
3 (+3) + (-6) = -3 (+3) + (-9) = -6 (+3) + (+4) = 7 (+3) + (+5) = 8
8 (+8) + (-6) = +2 (+8) + (-9) = -1 (+8) + (+4) = 12 (+8) + (+5) = 13
-3 (-3) + (-6) = -9 (-3) + (-9) = -12 (-3) + (+4) = 1 (-3) + (+5) = 2
-2 (-2) + (-6) = -8 (-2) + (-9) = -11 (-2) + (+4) = 2 (-2) + (+5) = 3
0 +7 -8 -3
3 (+3) – 0 = 3 (+3) + (-7) = -4 (+3) + (+8) = 11 (+3) + (+3) = 6
8 (+8) – 0 = 8 (+8) + (-7) = 1 (+8) + (+8) = 16 (+8) + (+3) = 11
-3 (-3) – 0 = -3 (-3) + (-7) = -10 (-3) + (+8) = 5 (-3) + (+3) = 0
-2 (-2) – 0 = -2 (-2) + (-7) = -9 (-2) + (+8) = 6 (-2) + (+3) = 1

Maharashtra Board Class 6 Maths Chapter 3 Integers Practice Set 8 Intext Questions and Activities

Question 1.
A Game of Integers. (Textbook pg. no. 20)
The board for playing this game is given in the back cover of the textbook. Place your counters before the number 1. Throw the dice. Look at the number you get. It is a positive number. Count that many boxes and move your counter forward. If a problem is given in that box, solve it. If the answer is a positive number, move your counter that many boxes further. It it is negative, move back by that same number of boxes.

Suppose we have reached the 18th box. Then the answer to the problem in it is -4 + 2 = -2. Now move your counter back by 2 boxes to 16. The one who reaches 100 first, is the winner.
Maharashtra Board Class 6 Maths Solutions Chapter 3 Integers Practice Set 8 1
Solution:
(Students should attempt this activity on their own)

Std 6 Maths Digest

Practice Set 20 Class 6 Answers Maths Chapter 7 Symmetry Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 7 Symmetry Class 6 Practice Set 20 Answers Solutions.

Symmetry Class 6 Maths Chapter 7 Practice Set 20 Solutions Maharashtra Board

Std 6 Maths Practice Set 20 Solutions Answers

Question 1.
Draw the axes of symmetry of each of the figures below. Which of them has more than one axis of symmetry?
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 1
Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 2
Figures (i), (ii) and (iv) have more than one axis of symmetry.

Question 2.
Write the capital letters of the English alphabet in your notebook. Try to draw their axes of symmetry. Which ones have an axis of symmetry? Which ones have more than one axis of symmetry?
Solution:
Alphabets having axis of symmetry:
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 3
Alphabets having more than one axis of symmetry:
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 4

Question 3.
Use color, a thread and a folded paper to draw symmetrical shapes.
Solution:
Take any color, a thread and a folded square paper.
Step 1:
Take a folded square paper which is folded along one of its axis of symmetry.
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 5

Step 2:
Open the paper. Draw a square in one comer. Place the thread in the square drawn and apply colour on it as shown in the figure.
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 6

Step 3:
Remove the thread. You will see a white patch where the thread was.
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 7

Step 4:
Fold the paper and press it along the axis of symmetry. When you unfold the paper, you will see an imprint on the other side of the fold which is identical to the color patch you had made earlier.
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 8

Question 4.
Observe various commonly seen objects such as tree leaves, birds in flight, pictures of historical buildings, etc. Find symmetrical shapes among them and make a collection of them.
Solution:
Some of the symmetrical objects seen in daily life are shown below:
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 9

Maharashtra Board Class 6 Maths Chapter 7 Symmetry Practice Set 20 Intext Questions and Activities

Question 1.
Do you recognize this picture?
Why do you think the letters written on the front of the vehicle are written the way they are? Copy them on a paper. Hold the paper in front of a mirror and read it.
Do you see letters written like this anywhere else?
(Textbook pg. no. 40)
Maharashtra Board Class 6 Maths Solutions Chapter 7 Symmetry Practice Set 20 10
Solution:

  1. The name written in reverse alphabets on the vehicle reads
    as ‘AMBULANCE’ when viewed in the mirror.
    In the case of an emergency, it helps a driver to quickly notice an ambulance by looking into his rear view mirror and read the reverse alphabets which appear perfectly normal in a mirror
  2. Other than ambulance, we see letters written in reverse on school bus.

Std 6 Maths Digest

Practice Set 29 Class 7 Answers Chapter 6 Indices Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 29 Answers Solutions Chapter 6 Indices.

Indices Class 7 Maths Chapter 6 Practice Set 29 Solutions Maharashtra Board

Std 7 Maths Practice Set 29 Solutions Answers

Question 1.
Simplify:
i. \(\left[\left(\frac{15}{12}\right)^{3}\right]^{4}\)
ii. (34)-2
iii. \(\left[\left(\frac{1}{7}\right)^{-3}\right]^{4}\)
iv. \(\left[\left(\frac{2}{5}\right)^{-2}\right]^{-3}\)
v. (65)4
vi. \(\left[\left(\frac{6}{7}\right)^{5}\right]^{2}\)
vii. \(\left[\left(\frac{2}{3}\right)^{-4}\right]^{5}\)
viii. \(\left[\left(\frac{5}{8}\right)^{3}\right]^{-2}\)
ix. \(\left[\left(\frac{3}{4}\right)^{6}\right]^{7}\)
x. \(\left[\left(\frac{2}{5}\right)^{-3}\right]^{2}\)
Solution:
i. \(\left[\left(\frac{15}{12}\right)^{3}\right]^{4}\)
\(=\left(\frac{15}{12}\right)^{3 \times 4}=\left(\frac{15}{12}\right)^{12}\)

ii. (34)-2
= 34×(-2)
= 3-8

iii. \(\left[\left(\frac{1}{7}\right)^{-3}\right]^{4}\)
\(=\left(\frac{1}{7}\right)^{(-3) \times 4}=\left(\frac{1}{7}\right)^{-12}\)

iv. \(\left[\left(\frac{2}{5}\right)^{-2}\right]^{-3}\)
\(=\left(\frac{2}{5}\right)^{(-2) \times(-3)}=\left(\frac{2}{5}\right)^{6}\)

v. (65)4
= 65×4
= 620

vi. \(\left[\left(\frac{6}{7}\right)^{5}\right]^{2}\)
\(=\left(\frac{6}{7}\right)^{5 \times 2}=\left(\frac{6}{7}\right)^{10}\)

vii. \(\left[\left(\frac{2}{3}\right)^{-4}\right]^{5}\)
\(=\left(\frac{2}{3}\right)^{(-4) \times 5}=\left(\frac{2}{3}\right)^{-20}\)

viii. \(\left[\left(\frac{5}{8}\right)^{3}\right]^{-2}\)
\(=\left(\frac{5}{8}\right)^{3 \times(-2)}=\left(\frac{5}{8}\right)^{-6}\)

ix. \(\left[\left(\frac{3}{4}\right)^{6}\right]^{7}\)
\(=\left(\frac{3}{4}\right)^{6 \times 1}=\left(\frac{3}{4}\right)^{6}\)

x. \(\left[\left(\frac{2}{5}\right)^{-3}\right]^{2}\)
\(=\left(\frac{2}{5}\right)^{(-3) \times 2}=\left(\frac{2}{5}\right)^{-6}\)

Question 2.
Write the following numbers using positive indices:
i. \(\left(\frac{2}{7}\right)^{-2}\)
ii. \(\left(\frac{11}{3}\right)^{-5}\)
iii. \(\left(\frac{1}{6}\right)^{-3}\)
iv. \((y)^{-4}\)
Solution:
i. \(\left(\frac{7}{2}\right)^{2}\)
ii. \(\left(\frac{3}{11}\right)^{5}\)
iii. \(6^{3}\)
iv. \(\frac{1}{y^{4}}\)

Std 7 Maths Digest

Practice Set 28 Class 7 Answers Chapter 6 Indices Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 28 Answers Solutions Chapter 6 Indices.

Indices Class 7 Maths Chapter 6 Practice Set 28 Solutions Maharashtra Board

Std 7 Maths Practice Set 28 Solutions Answers

Question 1.
Simplify:
i. a6 ÷ a4
ii. m5 ÷ m8
iii. p3 ÷ p13
iv. x10 ÷ x10
Solution:
i. a6 ÷ a4
= a6-4
= a2

ii. m5 ÷ m8
= m5-8
= m-3

iii. p3 ÷ p13
= p3-13
= p-10

iv. x10 ÷ x10
= x10-10
= x0
= 1

Question 2.
Find the value of:
i. (-7)12 ÷ (-7)12
ii. 75 ÷ 73
iii. \(\left(\frac{4}{5}\right)^{3} \div\left(\frac{4}{5}\right)^{2}\)
iv. 47 ÷ 45
Solution:
i. (-7)12 ÷ (-7)12
= (-7)12-12
= (-7)0
= 1

ii. 75 ÷ 73
= 75-3
= 72
= 49

iii. \(\left(\frac{4}{5}\right)^{3} \div\left(\frac{4}{5}\right)^{2}\)
\(=\left(\frac{4}{5}\right)^{3-2}=\frac{4}{5}\)

iv. 4 ÷ 4
= 47-5
= 42
= 16

Std 7 Maths Digest

Practice Set 40 Class 6 Answers Maths Chapter 17 Geometrical Constructions Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 17 Geometrical Constructions Class 6 Practice Set 40 Answers Solutions.

Geometrical Constructions Class 6 Maths Chapter 17 Practice Set 40 Solutions Maharashtra Board

Std 6 Maths Practice Set 40 Solutions Answers

Question 1.
Draw line l. Take point P anywhere outside the line. Using a set square draw a line PQ perpendicular to line l.
Solution:
Step 1:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 1

Step 2:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 2
line PQ ⊥ line l.

Question 2.
Draw line AB. Take point M anywhere outside the line. Using a compass and ruler, draw a line MN perpendicular to line AB.
Solution:
Step 1:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 3

Step 2:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 4

Step 3:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 5
line MN ⊥ line AB.

Question 3.
Draw a line segment AB of length 5.5 cm. Bisect it using a compass and ruler.
Solution:
Step 1:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 6

Step 2:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 7
line MN is the perpendicular bisector of seg AB.

Question 4.
Take point R on line XY. Draw a perpendicular to XY at R, using a set square.
Solution:
Step 1:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 8

Step 2:
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 9
line TR ⊥ line XY.

Maharashtra Board Class 6 Maths Chapter 17 Geometrical Constructions Practice Set 40 Questions and Activities

Question 1.
In the above construction, why must the distance in the compass be kept constant? (Textbook pg. no. 90)
Solution:
The point N is at equal distance from points P and Q.
If we change the distance of the compass while drawing arcs from points P and Q, we will not get a point which is at equal distance from P and Q. Hence, the distance in the compass must be kept constant.

Question 2.
The Perpendicular Bisector. (Textbook pg. no. 90)
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 10

  1. A wooden ‘yoke’ is used for pulling a bullock cart. How is the position of the yoke determined?
  2. To do that, a rope is used to measure equal distances from the spine/midline of the bullock cart. Which geometrical property is used here?
  3. Find out from the craftsmen or from other experienced persons, why this is done.

Solution:

  1. For the bullock cart to be pulled in the correct direction by the yoke, its Centre O should be equidistant from the either sides of the cart.
  2. The property of perpendicular bisector is used to make the point equidistant from both the ends
  3. A rope is used just like a compass to get equal distances from the spine/midline of bullock cart.

Question 3.
Take a rectangular sheet of paper. Fold the paper so that the lower edge of the paper falls on its top edge, and fold it over again from right to left. Observe the two folds that have formed on the . paper. Verify that each fold is a perpendicular bisector of the other. Then measure the following distances. (Textbook pg. no. 91)
i. l(XP)
ii. l(XA)
iii. l(XB)
iv. l(YP)
v. l(YA)
Maharashtra Board Class 6 Maths Solutions Chapter 17 Geometrical Constructions Practice Set 40 11
You will observe that l(XP) = l(YP), l(XA) = l(YA) and l(XB) = l(YB)
Therefore we can conclude that all points on the vertical fold (perpendicular bisector) are equidistant from the endpoints of the horizontal fold.
Solution:
[Note: Students should attempt this activity on their own.]

Std 6 Maths Digest

Practice Set 19 Class 6 Answers Maths Chapter 6 Bar Graphs Maharashtra Board

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 6 Bar Graphs Class 6 Practice Set 19 Answers Solutions.

Bar Graphs Class 6 Maths Chapter 6 Practice Set 19 Solutions Maharashtra Board

Std 19 Maths Practice Set 18 Solutions Answers

Question 1.
The names of the heads of some families in a village and the quantity of drinking water their family consumes in one day are given below. Draw a bar graph for this data.
(Scale: On Y axis. 1 cm = 10 liters of water)

Name Ramesh Shobha Ayub Julie Rahul
Liters of water Used 30 L 60 L 40 L 50L 55 L

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 1

Question 2.
The names and numbers of animals in a certain zoo are given below. Use the data to make a bar graph. (Scale: On Y axis, 1 cm = 4 animals).

Animals Deer Tiger Monkey Rabbit Peacock
Number 20 4 12 16 8

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 2

Question 3.
The table below gives the number of children who took part in the various items of the talent show as part of the annual school gathering. Make a bar graph to show this data.
(Scale: On Y-axis, 1 cm = 4 children)

Programme Theater Dance Vocal music Instrumental music One-act plays
Number of Children 24 40 16 8 4

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 3

Question 4.
The number of customers who came to a juice centre during one week is given in the table below. Make two different bar graphs to show this data.
(On Y-axis, 1 cm = 10 customers, 1 cm = 5 customers)

Type of juice Orange Pineapple Apple Mango Pomegranate
Number of customers 50 30 25 65 10

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 4
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 5

Question 5.
Students planted trees in 5 villages of Sangli district. Make a bar graph of this data. (Scale: On Y-axis, 1 cm = 100 trees).

Name of Place Dudhgaon Bagni Samdoli Ashta Kavathepiran
Number of Trees Planted 500 350 600 420 540

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 6

Question 6.
Yashwant gives different amounts of time as shown below, to different exercises he does during the week. Draw a bar graph to show the details of his schedule using an appropriate scale.

Type of exercise Running Yogasanas Cycling Mountaineering Badminton
Time 35 minutes 50 minutes 1 hr 10 min \(1\frac { 1 }{ 2 }\) hours 45 minutes

Solution:
1 hour = 60 minutes
∴ 1 hour 10 minutes = 1 hour + 10 minutes = 60 minutes +10 minutes = 70 minutes
and \(1\frac { 1 }{ 2 }\) hours = 1 hour + \(\frac { 1 }{ 2 }\) hour = 60 minutes + 30 minutes = 90 minutes
The given table can be written as follows:

Type of Exercise Running Yogasanas Cycling Moutaineering Badminton
Time 35 minutes 50 minutes 70 minutes 90 minutes 45 minutes

Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 7

Question 7.
Write the names of four of your classmates. Beside each name, write his/her weight in kilograms. Enter this data in a table like the above and make a bar graph.
Solution:

Name of classmates Weight (kg)
Rohan 32
Laxmi 28
Rakesh 40
Riya 36

Scale: On Y-axis, 1 cm = 4 kg [Note: Students can take their own examples]
Maharashtra Board Class 6 Maths Solutions Chapter 6 Bar Graphs Practice Set 19 8

Maharashtra Board Class 6 Maths Chapter 6 Bar Graphs Practice Set 19 Intext Questions and Activities

Question 1.
Collect bar graphs from newspapers or periodicals showing a variety of data. (Textbook pg. no. 38)
Solution:
(Student should attempt the activities on their own.)

Std 6 Maths Digest

Practice Set 27 Class 7 Answers Chapter 6 Indices Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 27 Answers Solutions Chapter 6 Indices.

Indices Class 7 Maths Chapter 6 Practice Set 27 Solutions Maharashtra Board

Std 7 Maths Practice Set 27 Solutions Answers

Question 1.
Simplify:
i. 74 × 72
ii. (-11)5 × (-11)2
iii. \(\left(\frac{6}{7}\right)^{3} \times\left(\frac{6}{7}\right)^{5}\)
iv. \(\left(-\frac{3}{2}\right)^{5} \times\left(-\frac{3}{2}\right)^{3}\)
v. a16 × a7
vi. \(\left(\frac{\mathrm{P}}{5}\right)^{3} \times\left(\frac{\mathrm{P}}{5}\right)^{7}\)
Solution:
i. 74 × 72
= 74+2
= 76

ii. (-11)5 × (-11)2
= (-11)5+2
= (-11)7

iii. \(\left(\frac{6}{7}\right)^{3} \times\left(\frac{6}{7}\right)^{5}\)
\(=\left(\frac{6}{7}\right)^{3+5}=\left(\frac{6}{7}\right)^{8}\)

iv. \(\left(-\frac{3}{2}\right)^{5} \times\left(-\frac{3}{2}\right)^{3}\)
\(=\left(-\frac{3}{2}\right)^{5+3}=\left(-\frac{3}{2}\right)^{8}\)

v. a16 × a7
= a16+7
= a23

vi. \(\left(\frac{\mathrm{P}}{5}\right)^{3} \times\left(\frac{\mathrm{P}}{5}\right)^{7}\)
\(=\left(\frac{\mathrm{P}}{5}\right)^{3+7}=\left(\frac{\mathrm{P}}{5}\right)^{10}\)

Std 7 Maths Digest