RS Aggarwal Maths Solutions Class 6

RS Aggarwal Class 6 Solutions Chapter 20 Two-Dimensional Reflection Symmetry (Linear Symmetry) Ex 20

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 20 Two-Dimensional Reflection Symmetry (Linear Symmetry) Ex 20

Mark against the correct answer in each of Q. 1 to Q. 8.

Question 1.
Solution:
(d)∵ A square has four lines of symmetry, two diagonals and two lines joining the mid-points of opposite sides.

Question 2.
Solution:
(c) ∵ A rectangle has two lines of symmetry, each one of which being the line joining of mid-points of opposite sides.

Question 3.
Solution:
(b) ∵ A rhombus has two lines of symmetry namely two diagonals.

Question 4.
Solution:
(d) Each diameter of a circle is its line of symmetry which are unlimited numbers.

Question 5.
Solution:
(a) ∵ A scalene triangle has no line of symmetry.

Question 6.
Solution:
(a) ∵ It is a figure of kite ; so AC is its line of symmetry.

Question 7.
Solution:
(c) ∵ Letter O has two lines of symmetry, one vertical and second horizontal

Question 8.
Solution:
(a) ∵ Letter Z has no line of symmetry.

Question 9.
Solution:

Question 10.
Solution:
(i) True (T) Parallelogram has no line of symmetry.
(ii) True (T) Bisector of an angle of*equal sides is the line of symmetry.
(iii) True (T)  Perpendiculars from each vertices’s of an equilateral-triangle to its opposite side is its line of symmetry.
(iv) False (F) Rhombus has two lines of symmetry which are its -diagonals.
(v) True (T) Square has four lines of symmetry, two diagonals and two perpendicular bisectors of opposite sides.
(vi) True (T) A rectangle has two lines of symmetry which are the perpendicular bisectors of its opposite sides.
(vii) True (T) H, I, O and X has two lines of symmetry.

Hope given RS Aggarwal Solutions Class 6 Chapter 20 Two-Dimensional Reflection Symmetry (Linear Symmetry) Ex 20 are helpful to complete your math homework.

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RS Aggarwal Class 6 Solutions Chapter 19 Three-Dimensional Shapes Ex 19

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 19 Three-Dimensional Shapes Ex 19

Tick the correct answer in each of Q. 1 to Q. 6.

Question 1.
Solution:
(c) ∵ A cuboid has three dimensions, length, breadth and height or depth.

Question 2.
Solution:
(b) ∵ Its six faces arc of square.

Question 3.
Solution:
(d) ∵ Its shape is of a cylinder as it is round in shape on either sides/faces.

Question 4.
Solution:
(c) ∵ Football is round as sphere.

Question 5.
Solution:
(b) A brick has length, breadth and height.

Question 6.
Solution:
(d) ∵ Its shape is like a cone. Ans.

Question 7.
Solution:
(i) solid
(ii) 6, 12 and 18
(iii) opposite
(iv) sphere
(v) cube
(vi) 4, 8
(vii) 3, 6
(viii) 6, 3, 2, 9 Ans.

Question 8.
Solution:
(a) A cone:
(i) Conical cup
(ii) An ice cream cup
(iii) Conical tent house
(iv) Conical vessel.
(b) A cuboid :
(i) A book,
(ii) A brick,
(iii) a box,
(iv) a briefcase.
(c) A cylinder
(i) Circular pipe
(ii) A jar or tumbler
(iii) A round powder tin
(iv) Circular pillar.

Hope given RS Aggarwal Solutions Class 6 Chapter 19 Three-Dimensional Shapes Ex 19 are helpful to complete your math homework.

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RS Aggarwal Class 6 Solutions Chapter 18 Circles Ex 18

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 18 Circles Ex 18

Question 1.
Solution:
Method :

Take a point O on the paper as shown in the figure. With the help of the rular, open out compasses in such a way that the distance between the metal point and pencil point is 4 cm. Take the compasses in the same position and put its metal point at O and draw the circle.
Remove the compasses and again open out the compasses in such a way that the distance between the metal point and pencil point is 5.3 cm. Taking O as the centre, draw another circle. Again remove the compasses and similarly draw the third circle with radius 6.2 cm. Then the required circles are as shown in the figure which have radius OA = 4 cm., OB = 5.3 cm. and OC = 6.2 cm.

Question 2.
Solution:
Method : Take a point C on the paper. With the help of the rular, open out the compasses in such a way that the distance between its metal point and pencil point is 4.5 cm. Take the compasses in the same position and put its metal point at C and draw the circle. Mark points P, Q and R as shown in the figure as required.

Question 3.
Solution:
Method : Take a point O on the paper. With the help of the rular, open out the compasses in such a way that the distance between the metal point and pencil point is 4 cm. Take the compasses in the same position and put the metal point at O and draw the circle.

Take A and B any points on the circle and join AB. ThenAB is the chord of the circle. Mark points X and Y on the circle as shown. Then arc AXB and arc AYB are the required minor and major arcs respectively.

Question 4.
Solution:
(i) False
(ii) True
(iii) False
(iv) False
(v) True.

Question 5.
Solution:
Steps of construction :
(i) With centre O and radius 3.7 cm, draw a circle.
(ii) Take a point A on the circumference of the circle.
(iii) Join OA.
(iv) At O, draw another radius OB such that ∠AOB = 72° with the help of protractor. Then sector AOB is the required one.

Question 6.
Solution:
(i) > (ii) < (iii) > (iv) >. Ans.

Question 7.
Solution:
(i) Passes through
(ii) at the centre, on the circle
(iii) chord
(iv) arc
(v) sector.

Hope given RS Aggarwal Solutions Class 6 Chapter 18 Circles Ex 18 are helpful to complete your math homework.

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RS Aggarwal Class 6 Solutions Chapter 17 Quadrilaterals Ex 17B

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 17 Quadrilaterals Ex 17B

Other Exercises

• RS Aggarwal Solutions Class 6 Chapter 17 Quadrilaterals Ex 17A
• RS Aggarwal Solutions Class 6 Chapter 17 Quadrilaterals Ex 17B

Objective questions
Mark against the correct answer in each of the following :

Question 1.
Solution:
(c) ∵ Sum of angles of a quadrilateral is 360°.

Question 2.
Solution:
Sum of 4 angles of a quadrilateral = 360° and three angles of a quadrilateral are 80°, 70° and 120°
∵ Fourth angle = 360° – (80° + 70° + 120°)
= 360° – 270° – 90° (c)

Question 3.
Solution:
Sum of angles of a quadrilateral = 360°
The ratio in there four angles is 3 : 4 : 5 : 6

Question 4.
Solution:
(d) Y Quadrilateral having one pair of parallel sides is a trapezium.

Question 5.
Solution:
(d) ∵ Quadrilateral having opposite sides parallel is called a parallelogram.

Question 6.
Solution:
(b) ∵ A trapezium having nonparallel sides equal is called an isosceles trapezium.

Question 7.
Solution:
(b) ∵ Diagonals of a rhombus bisect each other at right angles.

Question 8.
Solution:
(b) ∵ A square has four equal sides and also diagonals are equal.

Question 9.
Solution:
A quadrilateral having two pairs of equal adjacent sides but unequal opposite angles is called a kite. (c)

Question 10.
Solution:
A regular quadrilateral is a quadrilateral having equal sides and equal angles which is a square. (c)

Hope given RS Aggarwal Solutions Class 6 Chapter 17 Quadrilaterals Ex 17B are helpful to complete your math homework.

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RS Aggarwal Class 6 Solutions Chapter 5 Fractions Ex 5F

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5F.

Other Exercises

• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5A
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5B
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5C
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5D
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5E
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5F
• RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5G

Find the difference:

Question 1.
Solution:
\(\frac { 5 }{ 8 } -\frac { 1 }{ 8 } \)
= \(\\ \frac { 5-1 }{ 8 } \)
= \(\frac { 4 }{ 8 } \)
= \(\frac { 4\div 4 }{ 8\div 4 } \)
= \(\frac { 1 }{ 2 } \)

Question 2.
Solution:
\(\frac { 7 }{ 12 } -\frac { 5 }{ 12 } \)

Question 3.
Solution:
\(4\frac { 3 }{ 7 } -2\frac { 4 }{ 7 } \)
= \(\frac { 31 }{ 7 } -\frac { 18 }{ 7 } \)

Question 4.
Solution:
\(\frac { 5 }{ 6 } -\frac { 4 }{ 9 } \)

Question 5.
Solution:
\(\frac { 1 }{ 2 } -\frac { 3 }{ 8 } \)

Question 6.
Solution:
\(\frac { 5 }{ 8 } -\frac { 7 }{ 12 } \)

Question 7.
Solution:
\(2\frac { 7 }{ 9 } -1\frac { 8 }{ 15 } \)
= \(\frac { 25 }{ 9 } -\frac { 23 }{ 15 } \)
(changing into improper fractions)

Question 8.
Solution:
\(3\frac { 5 }{ 8 } -2\frac { 5 }{ 12 } \)
= \(\frac { 29 }{ 8 } -\frac { 29 }{ 12 } \)

Question 9.
Solution:
\(2\frac { 3 }{ 10 } -1\frac { 7 }{ 15 } \)
= \(\frac { 23 }{ 10 } -\frac { 22 }{ 15 } \)

Question 10.
Solution:
\(6\frac { 2 }{ 3 } -3\frac { 3 }{ 4 } \)
= \(\frac { 20 }{ 3 } -\frac { 15 }{ 4 } \)

Question 11.
Solution:
\(7-5\frac { 2 }{ 3 } \)
= \(\frac { 7 }{ 1 } -\frac { 17 }{ 3 } \)
(changing into improper fractions)

Question 12.
Solution:
\(10-6\frac { 3 }{ 8 } \)
= \(\frac { 10 }{ 1 } -\frac { 51 }{ 8 } \)
(changing into improper fractions)

Simpilify

Question 13.
Solution:
\(\frac { 5 }{ 6 } -\frac { 4 }{ 9 } +\frac { 2 }{ 3 } \)

Question 14.
Solution:
\(\frac { 5 }{ 8 } +\frac { 3 }{ 4 } -\frac { 7 }{ 12 } \)

Question 15.
Solution:
\(2+\frac { 11 }{ 15 } -\frac { 5 }{ 9 } \)
= \(\frac { 90+33-25 }{ 45 } \)
(LCM of 15 and 9 = 45)

Question 16.
Solution:
\(5\frac { 3 }{ 4 } -4\frac { 5 }{ 12 } +3\frac { 1 }{ 6 } \)
= \(\frac { 23 }{ 4 } -\frac { 53 }{ 12 } +\frac { 19 }{ 6 } \)
(changing into improper fractions)

Question 17.
Solution:
\(2+5\frac { 7 }{ 10 } -3\frac { 14 }{ 15 } \)
= \(\frac { 2 }{ 1 } +\frac { 57 }{ 10 } -\frac { 59 }{ 15 } \)
(changing into improper fractions)

Question 18.
Solution:
\(8-3\frac { 1 }{ 2 } -2\frac { 1 }{ 4 } \)
= \(\frac { 8 }{ 1 } -\frac { 7 }{ 2 } -\frac { 9 }{ 4 } \)
(changing into improper fractions)

Question 19.
Solution:
\(8\frac { 5 }{ 6 } -3\frac { 3 }{ 8 } +2\frac { 7 }{ 12 } \)
= \(\frac { 53 }{ 6 } -\frac { 27 }{ 8 } +\frac { 31 }{ 12 } \)
(changing into improper fractions)

Question 20.
Solution:
\(6\frac { 1 }{ 6 } -5\frac { 1 }{ 5 } +3\frac { 1 }{ 3 } \)
= \(\frac { 37 }{ 6 } -\frac { 26 }{ 5 } +\frac { 10 }{ 3 } \)
(changing into improper fractions)

Question 21.
Solution:
\(3+1\frac { 1 }{ 5 } +\frac { 2 }{ 3 } -\frac { 7 }{ 15 } \)
= \(\frac { 3 }{ 1 } +\frac { 6 }{ 5 } +\frac { 2 }{ 3 } -\frac { 7 }{ 15 } \)

Question 22.
Solution:
By subtracting \(9 \frac { 2 }{ 3 } \) from 19, we get the required number

Question 23.
Solution:
By subtracting \(6 \frac { 7 }{ 15 } \) from \(8 \frac { 1 }{ 5 } \) we get the required number

Question 24.
Solution:
Sum of \(3 \frac { 5 }{ 9 } \) and \(3 \frac { 1 }{ 3 } \)
= \(\frac { 32 }{ 9 } +\frac { 10 }{ 3 } \)

Question 25.
Solution:
\(\\ \frac { 3 }{ 4 } \), \(\\ \frac { 5 }{ 7 } \)

Question 26.
Solution:
Milk bought by Mrs. Soni = \(7 \frac { 1 }{ 2 } \) litres
and milk consumed by here = \(5 \frac { 3 }{ 4 } \) litres

Question 27.
Solution:
Total time of film show = \(3 \frac { 1 }{ 3 } \) hours
Total spent on advertisement = \(1 \frac { 3 }{ 4 } \) hours
Duration of the film

Question 28.
Solution:
On a day, rickshaw pullar earned

Question 29.
Solution:
Total length of wire =\(2 \frac { 3 }{ 4 } \)-metres
Length of one piece = \(\\ \frac { 5 }{ 8 } \) metre
Length of the other piece

Hope given RS Aggarwal Solutions Class 6 Chapter 5 Fractions Ex 5F are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.