2 Marks

Question 12 Marks

In a school excursion, 6 teachers and 12 students from 6th standard and 9 teachers and 27 students from 7th standard, 4 teachers and 16 students from 8th standard took part. Which class has the least teacher to student ratio?

Answer

6th Std – teachers : students = 6 : 12 = 1 : 27th Std – teachers : students = 9 : 27 = 1 : 38th Std – teachers : students = 4 : 16 = 1 : 48th Std has the least ratio.

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Question 22 Marks

If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then
(a) Which is the most likely ball that you can choose from the bag?
(b) How many balls in total are there in the bag if you have 40 black balls in it?
(c) Find the number of green and yellow balls in the bag.

Answer

Given: Green balls : Yellow balls : Black balls = 4 : 3 : 5
(a) Black ball.
(b) 4 : 3 : 5 = 4 × 8 : 3 × 8 : 5 × 8 = 32 : 24 : 40
If there are 40 black balls, then total number of balls = 32 + 24 + 40 = 96 balls
(c) Number of green balls = 32
Number of Yellow balls = 24

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Question 32 Marks

The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition are in the ratio 10 : 11. If they had scored a total of 84 points in the competition, then how many points did Kavitha get?

Answer

Total points scored $=84$Ratio $=10: 11$Sum of the ratio $=10+11=21$
21 parts $=84$ points
1 part $=\frac{84}{21}=4$ pointsKavitha $=11$ partsKaarmugilan $=10$ partsFoints scored by Kavitha $=11$ parts $=11 \times 4$ points $=44$ points $Z$

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Question 42 Marks

If a person reads $20$ pages of a book in $2$ hours, how many pages will he read in $8$ hours at the same speed?

Answer

$ \operatorname{In} 2 \text { hours, pages read }=20$
$\ln 1 \text { hour, pages read }=\frac{20}{2}=10$
$\ln 8 \text { hours, pages read }=10 \times 8$
$=80 \text { pages } $

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Question 52 Marks

Find whether 12, 24, 18, 36 are in order that can be expressed as two ratios that are in proportion

Answer

Yes, 12 : 24 : : 18 : 36Because product of extremes 12 × 36 = 432Product of means = 24 × 18 = 43212 : 24 : : 18 : 36.

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Question 62 Marks

Karmegam made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)

Answer

Run rate $=$ Ratio of runs to overs.Run rate of Karmegam $=\frac{54}{9}=6$
Run rate of Asif $=\frac{77}{11}=7$Asif's run rate is better.

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Question 72 Marks

In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is ₹ 4000, then what will be the amount spent for (i) Provisions and (ii) Vegetables?

Answer

Dividing the total amount ₹ 4000 into $3+2=5$ equal parts then
(i) For Provisions:
3 out of 5 parts are spent for provisions
$
4000 \times \frac{3}{5}=2400
$Amount spent for provisions $=\text{₹} 2400$
(ii) For vegetables:
2 out of 5 parts for vegetables
$
4000 \times \frac{2}{5}=1600
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Amount spent for vegetables $=\text{₹} 1600$

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Question 82 Marks

Complete the table.

Feet	1	2	3	?
Inch	12	24	?	72

Answer

1 feet = 12 inches3 feet = 3 × 12 inches = 36 inches72 inches = 6 × 12 inches = 6 feet

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Question 92 Marks

Akilan walks $10\ km$ in an hour while Selvi walks $6\ km$ in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.

Answer

$ \text { Distance covered by Akilan in } 1 \text { hour }=10 km$
$\text { Distance covered by Selvi in } 1 \text { hour }=6 km$
$\frac{\text { Distance covered by Akilan }}{\text { Distance covered by Selvi }}=\frac{10 km }{6 km }$
$=\frac{10 \div 2}{6 \div 2}$
$=\frac{5}{3}$
$\text { Distance covered by Akilan : Selvi }=5: 3 \text {. } $

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Question 102 Marks

Find the simplified form of the following ratio.
$75 : 100$

Answer

$75: 100$
$=\frac{75}{100}$
$=\frac{3}{4}$
$=3: 4$

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Question 112 Marks

Find the simplified form of the following ratio.
$12 : 27$

Answer

$12: 27$
$=\frac{12}{27}$
$=\frac{4}{9}$
$=4: 9 $

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Question 122 Marks