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Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Intext Questions
Recap (Textbook Page No. 55)
Question 1.
Which of the following fractions is not a proper fraction?
(a) \(\frac{1}{3}\)
(b) \(\frac{2}{3}\)
(c) \(\frac{5}{10}\)
(d) \(\frac{10}{5}\)
Solution:
(d) \(\frac{10}{5}\)
Question 2.
The equivalent fraction of \(\frac{1}{7}\) is ____
(a) \(\frac{2}{15}\)
(b) \(\frac{1}{49}\)
(c) \(\frac{7}{49}\)
(d) \(\frac{100}{7}\)
Solution:
(c) \(\frac{7}{49}\)
Question 3.
Write >, < or = in the box.
(i) \(\frac{5}{8}\) ____ \(\frac{1}{10}\)
(ii) \(\frac{9}{12}\) _____ \(\frac{3}{4}\)
Solution:
Question 4.
Arrange these fractions from the least to the greatest: \(\frac{1}{2}, \frac{1}{4}, \frac{6}{8}, \frac{1}{8}\)
Solution:
\(\begin{array}{l}{\frac{1}{2}=\frac{1 \times 4}{2 \times 4}=\frac{4}{8}} \\ {\frac{1}{4}=\frac{1 \times 2}{4 \times 2}=\frac{2}{8}}\end{array}\)
Comparing \(\frac{4}{8}, \frac{2}{8}, \frac{6}{8} \text { and } \frac{1}{8}\). we have \(\frac{1}{8}<\frac{2}{8}<\frac{4}{8}<\frac{6}{8}\)
i.e, \(\frac{1}{8}<\frac{1}{4}<\frac{1}{2}<\frac{6}{8}\)
Question 5.
Annan says the \(\frac{2}{6}\) th of the group of triangles given below are blue. Is he correct?
Solution:
No, he is not correct because of the total of 6 triangles 4 are blue, i.e \(\frac{4}{6}^{\text {th }}\) triangles are blue.
Question 6.
Joseph has a flower garden. Draw a picture which shows that \(\frac{2}{10}\) th of the flowers are red and the rest of them are yellow.
Solution:
Question 7.
Malarkodi has 10 oranges. If she ate 4 oranges, what fraction of oranges she was not eaten by her?
Solution:
\(\frac{\text { Oranges not eaten }}{\text { Total oranges }}=\frac{10-4}{10}=\frac{6}{10}\)
Question 8.
After sowing seeds on day one, Muthu observes the growth of two plants and records it. In 10 days, if the first plant grew \(\frac{1}{4}\) th of an inch and the second plant grew \(\frac{3}{8}\) th of an inch, then which plant grew more?
Solution:
Comparing \(\frac{1}{4}\) th of an inch and \(\frac{3}{8}\) th of an inch.
\(\frac{1}{4}=\frac{2}{8}<\frac{3}{8}\)
Second plant grew more.
Try These (Textbook Page No. 57 to 60)
Question 1.
Write the ratio of red tiles to blue tiles and yellow tiles to red tiles.
Solution:
(i) Red tiles to blue tiles = 2 : 3
(ii) Yellow tiles to red tiles = 2 : 2
Question 2.
Write the ratio of blue tiles to that of red tiles and red tiles to that of total tiles.
Solution:
The ratio of blue tiles to red tiles = 3 : 5
The ratio of red tiles to total tiles = 5 : 8
Question 3.
Write the ratio of shaded portion to the unshaded portions in the following shapes.
Solution:
(i) Ratio = 1 : 2
(ii) Ratio = 5 : 4
Question 4.
If the given quantity is in the same unit, put ‘✓’ otherwise put ‘ ✗’ in the table below.
Solution:
Question 5.
Write the ratios in the simplest form and fill in the table.
Solution:
Try These (Textbook Page No. 64)
Question 1.
For the given ratios, find two equivalent ratios and complete the table.
Solution:
Question 2.
Write three equivalent ratios and fill in the boxes.
Solution:
Question 3.
Find the given ratios, find their simplest form and complete the table.
Solution:
Try These (Textbook Page No. 70)
Question 1.
Fill the box by using cross product rule of two ratios 
Solution:
By cross product rule we have 1 × □ = 5 × 8
1 × 40 = 40
∴ \(\frac{1}{8}=\frac{5}{40}\)
Question 2.
Use the digits 1 to 9 only once and write as many ratios that are in proportion as possible (For example \(\frac{2}{4}=\frac{3}{6}\))
Solution:
