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Selina solutions for Mathematics [English] Class 6 chapter 12 - Proportion (Including Word Problems) [Latest edition]

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Selina solutions for Mathematics [English] Class 6 chapter 12 - Proportion (Including Word Problems) - Shaalaa.com
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Solutions for Chapter 12: Proportion (Including Word Problems)

Below listed, you can find solutions for Chapter 12 of CISCE Selina for Mathematics [English] Class 6.


Exercise 12 (A)Exercise 12 (B)Exercise 12 (C)
Exercise 12 (A)

Selina solutions for Mathematics [English] Class 6 12 Proportion (Including Word Problems) Exercise 12 (A)

Exercise 12 (A) | Q 1.1

In the following, check whether or not the given ratios form a proportion:

8 : 16 and 12 : 15

Exercise 12 (A) | Q 1.2

In the following, check whether or not the given ratios form a proportion:

16 : 28 and 24 : 42

Exercise 12 (A) | Q 1.3

In the following, check whether or not the given ratios form a proportion:

12 ÷ 3 and 8 ÷ 2

Exercise 12 (A) | Q 1.4

In the following, check whether or not the given ratios form a proportion:

25 : 40 and 20 : 32

Exercise 12 (A) | Q 1.5

In the following, check whether or not the given ratios form a proportion:

`15/18` and `10/12`

Exercise 12 (A) | Q 1.6

In the following, check whether or not the given ratios form a proportion:

`7/8` and 14 : 16

Exercise 12 (A) | Q 2.1

Find the value of x of the following proportion:

x : 4 = 6 : 8

Exercise 12 (A) | Q 2.2

Find the value of x of the following proportion:

14 : x = 7 : 9

Exercise 12 (A) | Q 2.3

Find the value of x of the following proportion:

4 : 6 = x : 18

Exercise 12 (A) | Q 2.4

Find the value of x of the following proportion:

8 : 10 = x : 25

Exercise 12 (A) | Q 2.5

Find the value of x of the following proportion:

5 : 15 = 4 : x

Exercise 12 (A) | Q 2.6

Find the value of x of the following proportion:

16 : 24 = 6 : x

Exercise 12 (A) | Q 3.1

Find the value of x so that the given four numbers are in proportion:

x, 6, 10 and 15

Exercise 12 (A) | Q 3.2

Find the value of x so that the given four numbers are in proportion:

x, 4, 15 and 30

Exercise 12 (A) | Q 3.3

Find the value of x so that the given four numbers are in proportion:

2, x, 10 and 25

Exercise 12 (A) | Q 3.4

Find the value of x so that the given four numbers are in proportion:

4, x, 6 and 18

Exercise 12 (A) | Q 3.5

Find the value of x so that the given four numbers are in proportion:

9, 12, x and 8

Exercise 12 (A) | Q 3.6

Find the value of x so that the given four numbers are in proportion:

4, 10, 36 and x

Exercise 12 (A) | Q 3.7

Find the value of x so that the given four numbers are in proportion:

7, 21, x and 45

Exercise 12 (A) | Q 3.8

Find the value of x so that the given four numbers are in proportion:

6, 8, 12 and x

Exercise 12 (A) | Q 4

The first, second, and fourth terms of a proportion are 6, 18, and 75, respectively. Find its third term.

Exercise 12 (A) | Q 5

Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.

Exercise 12 (A) | Q 6

Find the fourth term of the proportion whose first, second, and third terms are 18, 27, and 32 respectively.

Exercise 12 (A) | Q 7

The ratio of the length and the width of a school ground is 5 : 2. Find the length, if the width is 40 metres.

Exercise 12 (A) | Q 8

The ratio of the sale of eggs on a Sunday and that of the whole week at a grocery shop was 2 : 9. If the total value of the sale of eggs in the same week was Rs 360, find the value of the sale of eggs that Sunday.

Exercise 12 (A) | Q 9

The ratio of copper and zinc in an alloy is 9 : 8. If the weight of zinc, in the alloy, is 9.6 kg; find the weight of copper in the alloy.

Exercise 12 (A) | Q 10

The ratio of the number of girls to the number of boys in a school is 2 : 5. If the number of boys is 225; find:
(i) the number of girls in the school.
(ii) the number of students in the school.

Exercise 12 (A) | Q 11

In a class, one out of every 5 students pass. If there are 225 students in all the sections of a class, find how many pass?

Exercise 12 (A) | Q 12

Make set of all possible proportions from the numbers 15, 18, 35 and 42.

Exercise 12 (B)

Selina solutions for Mathematics [English] Class 6 12 Proportion (Including Word Problems) Exercise 12 (B)

Exercise 12 (B) | Q 1.1

If x, y, and z are in continued proportion, then which of the following is true:

x : y = x : z

  • True

  • False

Exercise 12 (B) | Q 1.2

If x, y, and z are in continued proportion, then which of the following is true:

x : x = z : y

  • True

  • False

Exercise 12 (B) | Q 1.3

If x, y, and z are in continued proportion, then which of the following is true:

x : y = y : z

  • True

  • False

Exercise 12 (B) | Q 1.4

If x, y, and z are in continued proportion, then which of the following is true:

y : x = y : z

  • True

  • False

Exercise 12 (B) | Q 2.1

Which of the following numbers are in continued proportion:

3, 6 and 15

  • continued proportion

  • not continued proportion

Exercise 12 (B) | Q 2.2

Which of the following numbers are in continued proportion:

15, 45 and 48

  • continued proportion

  • not continued proportion

Exercise 12 (B) | Q 2.3

Which of the following numbers are in continued proportion:

6, 12 and 24

  • continued proportion

  • not continued proportion

Exercise 12 (B) | Q 2.4

Which of the following numbers are in continued proportion:

12, 18 and 27

  • continued proportion

  • not continued proportion

Exercise 12 (B) | Q 3.1

Find the mean proportion between 3 and 27

Exercise 12 (B) | Q 3.2

Find the mean proportion between 0.06 and 0.96

Exercise 12 (B) | Q 4.1

Find the third proportional to 36, 18

Exercise 12 (B) | Q 4.2

Find the third proportional to 5.25, 7

Exercise 12 (B) | Q 4.3

Find the third proportional to ₹1.60, ₹0.40

Exercise 12 (B) | Q 5

The ratio between 7 and 5 is same as the ratio between ₹ x and ₹ 20.50; find the value of x.

Exercise 12 (B) | Q 6.1

If (4x + 3y) : (3x + 5y) = 6 : 7, find x : y

Exercise 12 (B) | Q 6.2

If (4x + 3y) : (3x + 5y) = 6 : 7, find x, if y = 10

Exercise 12 (B) | Q 6.3

If (4x + 3y) : (3x + 5y) = 6 : 7, find y, if x = 27

Exercise 12 (B) | Q 7.1

If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x : y

Exercise 12 (B) | Q 7.2

If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x, if y = 70

Exercise 12 (B) | Q 7.3

If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find y, if x = 33

Exercise 12 (C)

Selina solutions for Mathematics [English] Class 6 12 Proportion (Including Word Problems) Exercise 12 (C)

Exercise 12 (C) | Q 1.1

Are the following numbers in proportion 32, 40, 48 and 60?

Exercise 12 (C) | Q 1.2

Are the following numbers in proportion 12, 15, 18 and 20?

Exercise 12 (C) | Q 2.1

Find the value of x of the following such that the given numbers are in proportion.

14, 42, x and 75

Exercise 12 (C) | Q 2.2

Find the value of x of the following such that the given numbers are in proportion.

45, 135, 90 and x

Exercise 12 (C) | Q 3

The costs of the two articles are in the ratio 7 : 4. If the cost of the first article is Rs. 2,800; find the cost of the second article.

Exercise 12 (C) | Q 4

The ratio of the length and the width of a rectangular sheet of paper is 8 : 5. If the width of the sheet is 17.5 cm; find the length.

Exercise 12 (C) | Q 5

The ages of A and B are in the ratio 6 : 5. If A’s age is 18 years, find the age of B.

Exercise 12 (C) | Q 6

A sum of Rs. 10, 500 is divided among A, B and C in the ratio 5 : 6 : 4. Find the share of each.

Exercise 12 (C) | Q 7

Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?

Exercise 12 (C) | Q 8

Do the ratios 2 kg : 80 kg and 25 g : 625 g form a proportion?

Exercise 12 (C) | Q 9

10 kg of sugar cost ₹ 350. If x kg sugar of the same kind costs ₹ 175, find the value of x

Exercise 12 (C) | Q 10

The length of two ropes are in the ratio 7 : 5. Find the length of:
(i) shorter rope, if the longer one is 22.5 m
(ii) longer rope, if the shorter is 9.8 m.

Exercise 12 (C) | Q 11

If 4, x and 9 are in continued proportion, find the value of x.

Exercise 12 (C) | Q 12

If 25, 35 and x are in continued proportion, find the value of x.

Solutions for 12: Proportion (Including Word Problems)

Exercise 12 (A)Exercise 12 (B)Exercise 12 (C)
Selina solutions for Mathematics [English] Class 6 chapter 12 - Proportion (Including Word Problems) - Shaalaa.com

Selina solutions for Mathematics [English] Class 6 chapter 12 - Proportion (Including Word Problems)

Shaalaa.com has the CISCE Mathematics Mathematics [English] Class 6 CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics Mathematics [English] Class 6 CISCE 12 (Proportion (Including Word Problems)) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 6 chapter 12 Proportion (Including Word Problems) are Proportion as Equality of Two Ratios, Concept of Ratio, Concept of Proportion.

Using Selina Mathematics [English] Class 6 solutions Proportion (Including Word Problems) exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE Mathematics [English] Class 6 students prefer Selina Textbook Solutions to score more in exams.

Get the free view of Chapter 12, Proportion (Including Word Problems) Mathematics [English] Class 6 additional questions for Mathematics Mathematics [English] Class 6 CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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