Ratio and Proportion Class 6 Maths Chapter 12 Extra Questions

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Ratio and Proportion Class 6 Maths Chapter 12 Extra Questions. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in myCBSEguide website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in CBSE Class 6 Mathematics syllabus and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

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Practice Questions for Class 6 Mathematics Chapter 12

Ch-12 Ratio and Proportion


  1. Divide Rs 60 in the ratio 1 : 2 between Kirti and Kamal.
    1. Kirti = Rs 40, Kamal = Rs 20
    2. Kirti = Rs 60, Kamal = Rs 30
    3. Kirti = Rs 20, Kamal = Rs 40
    4. Kirti = Rs 30, Kamal = Rs 60
  2. Three terms a, b, c are said to be in proportion if ______________ .
    1. a:b = b:c
    2. b:a = c:a
    3. a:b = c:b
    4. c:a = a:b
  3. Find the ratio of 50 paise to Re 1?
    1. it is 1:3
    2. it is 1:2
    3. it is 2:1
    4. None of these
  4. The 30 : 45 is equivalent ratio of …………..
    1. it is 1:3
    2. it is 2:3
    3. it is 1:2
    4. it is 3:2
  5. Ravi and Rani started a business and invested money in the ratio 2 : 3. After one year the total profit was Rs 40,000. What is the share of Ravi in profit?
    1. Rs 15000
    2. Rs 24000
    3. Rs 16000
    4. Rs 20000
  6. Match the following:

    Column AColumn B
    a. A ratio equivalent to 3 : 7p. 3 : 1
    b. Simplest form of 21 : 7 isq. 30 : 24
    c. 5 : 4 is equal tor. 9 : 21
    d. Ratio of 35 : 15 iss. 7 : 3
  7. Fill In The Blanks.

    1. If 4, a, a, 36 are in proportion then a is equal to ____.
    2. 32 m : 64 m : : ____.
    3. 5 : 4 = ____.
    4. If a = 2b then a : b = ____.
  8. State whether the following statements are True or False:

    1. A ratio equivalent to 3 :7 is 9 : 21.
    2. The ratio 35 : 84 in simplest form is 7 : 12.
    3. A ratio can be equal to 1.
    4. 5 :2 = 2 : 5.
  9. Find X in the proportion X : 6 = 25 : 5

  10. The weight of 25 copies is 5 kg. Find the weight of 30 such copies?

  11. Are the following statement true? 45km : 60km = 12 hours : 15 hours.

  12. Write True or False against the following statement :8 : 9 : : 24 : 27.

  13. Are the following statement true? 7.5litre : 15litre = 5kg : 10kg.

  14. Write True or False against the following statement: 5.2 : 3.9 : : 3 : 4.

  15. If 2A = 3B = 4C, find A : B : C

Ch-12 Ratio and Proportion


Answer

    1. Kirti = Rs 20, Kamal = Rs 40
      Explanation: ratio = 1 : 2
      ∴ the total parts is 1+2=3so kriti’s share = {tex}{1 \over 3} \times 60 = {{60} \over 3} = {{60 \div 3} \over {3 \div 3}} = {{20} \over 1} = 20{/tex}Rskamal’s share = {tex}{2 \over 3} \times 60 = {{120} \over 3} = {{120 \div 3} \over {3 \div 3}} = {{40} \over 1} = 40{/tex}Rs
    1. a:b = b:c
      Explanation: Three terms(a ,b and c) are said to be in proportion if the ratio of the first and the second is equal to the ratio of the second and third.
      a:b=b:c
    1. it is 1:2
      Explanation:
      Re 1 ⇒ 100 paisa
      ratio = 50 paisa : Re 1= 50:100 = {tex}{{50} \over {100}} = {{50 \div 50} \over {100 \div 50}} = {1 \over 2} = 1:2{/tex}
    1. it is 2:3
      Explanation: 30:45{tex}{{30} \over {45}} = {{30 \div 15} \over {45 \div 15}} = {2 \over 3} = 2:3{/tex}
    1. (c) Rs 16000
      Explanation: sol : given ratio of ravi and rani 2:3 , total part is 2+3=5
      and given profit is 40000ravi share in profit={tex}{2 \over 5} \times 40000 = {{80000} \over 5} = Rs16000{/tex}
    1. {tex} \to {/tex} r
    2. {tex} \to {/tex} p
    3. {tex} \to {/tex} q
    4. {tex} \to {/tex} s
    1. 12
    2. 6secs : 12sec
    3. 30 : 24
    4. 2 : 1
    1. True
    2. False
    3. True
    4. False
  1. X:6 = 25:5
    {tex} \Rightarrow \frac{X}{6} = \frac{{25}}{5}{/tex}
    {tex} \Rightarrow \frac{X}{6} = \frac{5}{1}{/tex} (Dividing {tex}\frac{{25}}{5}{/tex} by 5)
    {tex} \Rightarrow X = 5 \times 6 = 30{/tex}
    {tex} \Rightarrow X = 30{/tex}
  2. It is given that
    Weight of 25 copies = 5 kg
    ∴ Weight of 1 copy = 5 ÷25 = 1/5 kg
    ∴ Weight of 30 copies = 30 {tex} \times {/tex} 1/5= 6 kg
  3. 45km : 60km = {tex}\frac{45}{60}=\frac{45 \div 15}{60 \div 15}{/tex}[{tex}\therefore{/tex}H.C.F.(45, 60) = 15] {tex}=\frac{3}{4}{/tex} = 3 : 4
    12 hours : 15 hours {tex}=\frac{12}{15}=\frac{12 \div 3}{15 \div 3}{/tex}[{tex}\therefore{/tex}H.C.F.(12, 15) = 3] {tex}=\frac{4}{5}{/tex} = 4 : 5
    Since, the two ratios are not equal, therefore the given statement is false(F).
  4. 24 : 27 {tex}=\frac{24}{27}=\frac{24 \div 3}{27 \div 3}{/tex}[{tex}\therefore{/tex}H.C.F.(24, 27) = 3] {tex}=\frac{8}{9}{/tex} = 8 : 9
    {tex}\because{/tex} 8 : 9 = 24 : 27
    {tex}\therefore{/tex} 8 : 9 : : 24 : 27 is true(T).
  5. 7.5 litre : 15 litre
    {tex}=\frac{7.5}{15}=\frac{7.5 \times 10}{15 \times 10}=\frac{75}{150}=\frac{75 \div 75}{150 \div 75}{/tex}[{tex}\therefore{/tex}H.C.F.(75, 150) = 75] {tex}=\frac{1}{2}{/tex} = 1 : 2
    5kg : 10kg {tex}=\frac{5}{10}=\frac{5 \div 5}{10 \div 5}{/tex}[{tex}\therefore{/tex}H.C.F.(5, 10) = 5] {tex}=\frac{1}{2}{/tex} = 1 : 2
    Since, the two ratios are equal, therefore, the given statement is true (T).
  6. 5.2 : 3.9 {tex}=\frac{5.2}{3.9}=\frac{5.2 \times 10}{3.9 \times 10}=\frac{52}{39}=\frac{52 \div 13}{39 \div 13}{/tex}[{tex}\therefore{/tex}H.C.F.(52, 39) = 13] {tex}=\frac{4}{3}{/tex} = 4 : 3
    {tex}\therefore{/tex} 4 : 3 {tex} \neq{/tex} 3 : 4
    {tex}\therefore{/tex} 5.2 : 3.9 : : 3 : 4 is false (F).
  7. Let 2A = 3B = 4C = x
    So, {tex}A = \frac{x}{2},B = \frac{x}{3},C = \frac{x}{4}{/tex}
    The L.C.M of 2, 3 and 4 is 12
    Therefore, A:B:C {tex} = \frac{x}{2} \times 12:\frac{x}{3} \times 12:\frac{x}{4} \times 12 = 6x:4x:3x = 6:4:3{/tex}
    Therefore A:B:C = 6:4:3.

Chapter Wise Extra Questions for Class 6 Mathematics


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