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Expert Teachers has created Maharashtra State Board Class 6 Maths Solutions Digest Pdf Download. You can also Download Maths Solution Class 6 Maharashtra Board to help you to revise the complete Syllabus and score more marks in your examinations.

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Maths Solution Class 6 Maharashtra Board | 6th Standard Maths Digest

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Maharashtra Board Class 6 Maths Chapter 1 Basic Concepts in Geometry

Maharashtra Board Class 6 Maths Chapter 2 Angles

Maharashtra Board Class 6 Maths Chapter 3 Integers

Maharashtra Board Class 6 Maths Chapter 4 Operations on Fractions

Maharashtra Board Class 6 Maths Chapter 5 Decimal Fractions

Maharashtra Board Class 6 Maths Chapter 6 Bar Graphs

Maharashtra Board Class 6 Maths Chapter 7 Symmetry

Maharashtra Board Class 6 Maths Chapter 8 Divisibility

Maharashtra Board Class 6 Maths Chapter 9 HCF-LCM

Maharashtra Board Class 6 Maths Chapter 10 Equations

Maharashtra Board Class 6 Maths Chapter 11 Ratio-Proportion

Maharashtra Board Class 6 Maths Chapter 12 Percentage

Maharashtra Board Class 6 Maths Chapter 13 Profit-Loss

Maharashtra Board Class 6 Maths Chapter 14 Banks and Simple Interest

Maharashtra Board Class 6 Maths Chapter 15 Triangles and their Properties

Maharashtra Board Class 6 Maths Chapter 16 Quadrilaterals

Maharashtra Board Class 6 Maths Chapter 17 Geometrical Constructions

Maharashtra Board Class 6 Maths Chapter 18 Three Dimensional Shapes

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Maharashtra Board Practice Set 37 Class 6 Maths Solutions Chapter 16 Quadrilaterals

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 16 Quadrilaterals Class 6 Practice Set 37 Answers Solutions.

6th Standard Maths Practice Set 37 Answers Chapter 16 Quadrilaterals

Question 1.
Observe the figures below and find out their names:
Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 1
Solution:
i. Pentagon (5 sides)
ii. Hexagon (6 sides)
iii. Heptagon (7 sides)
iv. Octagon (8 sides)

Maharashtra Board Class 6 Maths Chapter 16 Quadrilaterals Practice Set 37 Intext Questions and Activities

Question 1.
Observe the figures given below and say which of them are quadrilaterals. (Textbook pg. no. 81)
Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 2
Solution:
Is a quadrilateral: (i)

Question 2.
Draw a quadrilateral. Draw one diagonal of this quadrilateral and divided it into two triangles. Measures all the angles in the figure. Is the sum of the measures of the four angles of the quadrilateral equal to the sum of the measures of the six angles of the two triangles? Verity that this is so with other quadrilaterals. (Textbook pg. no. 84)
Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 3
m∠PQR = 104°
m∠QRP = 26°
m∠RPQ = 50°
m∠PRS = 34°
m∠RSP = 106°
m∠SPR = 40°
∴ Sum of the measures of the angles of quadrilateral = m∠PQR + m∠QRP + m∠RPQ + m∠PRS + m∠RSP + m∠SPR
= 104° + 26° + 50° + 34° + 106° + 40°
= 360°
Also, we observe that
Sum of the measures of the angles of quadrilateral = Sum of the measures of angles of the two triangles (PQR and PRS)
= (104°+ 26°+ 50°)+ (34° + 106° + 40°)
= 180° + 180°
= 360°
[Note: Students should drew different quadrilaterals and verify the property.]

Question 3.
For the pentagon shown in the figure below, answer the following: (Textbook pg. no. 84)

  1. Write the names of the five vertices of the pentagon.
  2. Name the sides of the pentagon.
  3. Name the angles of the pentagon.
  4. See if you can sometimes find players on a field forming a pentagon.

Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 4

Solution:

  1. The vertices of the pentagon are points A, B, C, D and E.
  2. The sides of the pentagon are segments AB, BC, CD, DE and EA.
  3. The angles of the pentagon are ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB.
  4. The players shown in the above figure form a pentagon. The players are standing on the vertices of

Question 4.
Cut out a paper in the shape of a quadrilateral. Make folds in it that join the vertices of opposite angles. What can these folds be called? (Textbook pg. no. 83)
Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 5
Solution:
The folds are called diagonals of the quadrilateral.

Question 5.
Take two triangular pieces of paper such that . one side of one triangle is equal to one side of the other. Let us suppose that in ∆ABC and ∆PQR, sides AC and PQ are the equal sides. Join the triangles so that their equal sides lie B side by side. What figure do we get? (Textbook pg. no. 83)
Maharashtra Board Class 6 Maths Solutions Chapter 16 Quadrilaterals Practice Set 37 6
Solution:
If we place the triangles together such that the equal sides overlap, the two triangles form a quadrilateral.

Maharashtra Board Practice Set 3 Class 6 Maths Solutions Chapter 2 Angles

Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 2 Angles Class 6 Practice Set 3 Answers Solutions.

6th Standard Maths Practice Set 3 Answers Chapter 2 Angles

Question 1.
Use the proper geometrical instruments to construct the following angles. Use the compass and the ruler to bisect them:

  1. 50°
  2. 115°
  3. 80°
  4. 90°

Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 1

Maharashtra Board Class 6 Maths Chapter 2 Angles Practice Set 3 Intext Questions and Activities

Question 1.
Construct an angle bisector to obtain an angle of 30°. (Textbook pg. no. 11)
Solution: .
In order to get a bisected angle of a given measure, the student has to draw the angle having twice the measurement of required bisected angle.

For getting measurement of 30° (for the bisected angle), one has to make an angle of 60° (i.e. 30° × 2).

Step 1:
Draw ∠ABC of 60°.
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 2

Step 2:
Cut arcs on the rays BA and BC. Name these points as D and E respectively.
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 3

Step 3:
Place the compass point on point D and draw an arc inside the angle.
Without changing the distance of the compass, place the compass point on point E and cut the previous arc. Name the point of intersection as O
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 4

Step 4:
Draw ray BO.
Ray BO is the angle bisector of ∠ABC.
i.e. m∠ABO = m∠CBO = 30°
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 5

Question 2.
Construct an angle bisector to draw an angle of 45°. (Textbook pg. no. 11)
Solution:
For getting measurement of 45° (for the bisected angle), one has to make an angle of 90° (i.e. 45° × 2).
Step 1:
Draw ∠PQR of 90°.
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 6

Step 2:
Cut arcs on the rays QP and QR.
Name these points as M and N respectively.
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 7

Step 3:
Place the compass point on point M and draw an arc inside the angle.
Without changing the distance of the compass, place the compass point on point N and cut the
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 8

Step 4:
Draw ray QO.
Ray QO is the angle bisector of ∠PQR.
i.e. m∠PQO = m∠RQO = 45°
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 9

Question 3.
Ask three or more children to stand in a straight line. Take two long ropes. Let the child in the middle hold one end of each rope. With the help of the ropes, make the children on either side stand along a straight line. Tell them to move so as to form an acute angle, a right angle, an obtuse angle, a straight angle, a reflex angle and a full or complete angle in turn. Keeping the rope stretched will help to ensure that the children form straight lines. (Textbook pg. no. 6)
Solution:
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 10

Question 4.
Look at the pictures below and identify the different types of angles. (Textbook pg. no. 8)
Maharashtra Board Class 6 Maths Solutions Chapter 2 Angles Practice Set 3 11
Solution:
i. Complete angle
ii. Reflex and Acute angle
iii. Acute and Obtuse angle