Free Ratio and Proportion Subjective Test 01 Practice Test - 6th grade 

Steps: 1 Mark
Solution: 1 Mark

$\text{Length}\left(l\right):\text{Breadth (b)}=4:5$

$\Rightarrow \frac{l}{b}=\frac{4}{5}$

Given: $l=20m$

$\Rightarrow \frac{20}{b}=\frac{4}{5}$

$\Rightarrow \frac{b}{20}=\frac{5}{4}$

$\Rightarrow b=\frac{5\times 20}{4}$

$b=5\times 5=25$

$\therefore \text{Breadth of the field}=25m$

Steps: 1 Mark
Answer: 1 Mark

If $x:4and6:8$ are equivalent ratios. Then
$x:4=6:8\Rightarrow \frac{x}{4}=\frac{6}{8}$
$\Rightarrow x=\frac{6\times 4}{8}=3$
$\therefore x=3$

Each Option: 1.5 Mark

Number of students liking tennis $=30-(6+12)=30-18=12$

a) Ratio of number of students liking football to number of students liking tennis
 $=6:12=1:2$

b) Ratio of number of students liking cricket to total number of students
 $=12:30=2:5$

Hence,
Ratio of number of students liking football to number of students liking tennis $=1:2$
Ratio of number of students liking cricket to total number of students $=2:5$

Steps: 2 Marks
Answer: 1 Mark

Kareem's expense for 10 days $=Rs.230$

Kareem's expense for 1 day  $=\frac{230}{10}=Rs.23$

Ratio of Kareem's expenditure $=1:23$

Total amount left with Kareem $=Rs.345$

Number of days to finish $Rs.345$

$\Rightarrow \frac{345}{23}=15days$

Each option: 1 Mark

Total number of students in class$=20+15=35$

(a) Ratio of number of boys to the number of girls
 $=15:20=\frac{15}{20}=\frac{3}{4}$
 Hence, ratio of number of boys to the number of girls is $3:4$

(b) Ratio of number of girls to the total number of students
 $=20:35=\frac{20}{35}=\frac{4}{7}$
 Ratio of number of girls to the total number of students is $=4:7$

(c) Ratio of number of boys to the total number of students
 $=15:35=\frac{15}{35}=\frac{3}{7}$
 Ratio of number of boys to the total number of students is $=3:7$

a Part: 1 Mark
b Part: 1 Mark
c Part: 2 Marks

(a) Cost of 6 kg of wheat = Rs 72

 Cost of 1 kg of wheat $=\frac{72}{6}=Rs.12$

 Cost of 8 kg of wheat $=12\times 8$

 = $Rs.96$


(b) Cost of 5 kg of rice = Rs 450

Cost of 1 kg of rice $=\frac{450}{5}$ 

= $Rs.90$

     
(c) Ratio of price of 1kg of rice to 1kg of wheat

$\Rightarrow \frac{90}{12}=\frac{15}{2}=15:2$

Steps: 3 Marks
Answer: 1 Mark

Let x and y be the number of stamps Sonia and Surjeet have respectively.

At the end of one month,

Ratio of the stamps of Sonia to Surjeet
= x : y = 89 : 93

$\frac{x}{y}=\frac{89}{93}$

$x=y.\frac{89}{93}$

Given: y = 2325

$x=2325\times \frac{89}{93}$

 $x=\frac{2325\times 89}{93}=2225$

Hence Sonia has 2225 stamps.

Steps: 2 Marks
Answer: 2 Marks

Distance travelled by Neha's toy car in a minute = 288m
Speed of Neha's toy car = 288 m/min

Distance travelled by Vendetta's toy car in an hour (60 minutes) = 24.48km= 24480m  ($\Rightarrow$1km = 1000m)

Distance travelled by Vendetta's toy car in a minute= $24480÷60$ = 408 m
Speed of Vendetta's toy car=408 m/min

The ratio of the speed of the cars belonging to Neha and Vendetta =288 : 408 =12 : 17