Scroll:Ratios and proportions >> Solve proportions: word problems >> saq (4087)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Swathi office recycled a total of 30 kilograms of paper over 5 weeks. After 10 weeks, how many kilograms of paper will Swathi office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




2)  

Panimalar jarred 40 litres of jam after 5 days. How much jam did Panimalar jar if he spent 10 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




3)  

Amutha used 32 centimetres of tape to wrap 4 presents. How many presents did Amutha wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




4)  

Tulasi took a total of 36 quizzes over the course of 6 weeks. After attending 12 weeks of school this quarter, how many quizzes will Tulasi have taken in total Assume the relationship is directly proportional.

  quizzes


Answer:_______________




5)  

Amutha office recycled a total of 48 kilograms of paper over 6 weeks. After 12 weeks, how many kilograms of paper will Amutha office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




6)  

Chithra jarred 20 litres of jam after 5 days. How much jam did Chithra jar if he spent 10 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




7)  

Parveen used 24 centimetres of tape to wrap 4 presents. How many presents did Parveen wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




8)  

Chellamal took a total of 40 quizzes over the course of 5 weeks. After attending 10 weeks of school this quarter, how many quizzes will Chellamal have taken in total Assume the relationship is directly proportional.

  quizzes


Answer:_______________




9)  

Pavi office recycled a total of 30 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Pavi office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




10)  

Nandini jarred 20 litres of jam after 5 days. How much jam did Nandini jar if he spent 10 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




 

1)  

Swathi office recycled a total of 30 kilograms of paper over 5 weeks. After 10 weeks, how many kilograms of paper will Swathi office have recycled Assume the relationship is directly proportional.

  Answer: 60 kilograms


SOLUTION 1 :

Find the cross products and solve for I

 
 I
5
 = 
 
30
15
  

 

Find the cross products

10I = 30 x 10 

Simplify

5I = 300  

Divide both sides by 5

I = 60 

 



2)  

Panimalar jarred 40 litres of jam after 5 days. How much jam did Panimalar jar if he spent 10 days making jam Assume the relationship is directly proportional.

  Answer: 80 litres


SOLUTION 1 :

Find the cross products and solve for H

 
 H
5
 = 
 
40
20
  

 

Find the cross products

10H = 40 x 10 

Simplify

5H = 400  

Divide both sides by 5

H = 80 

 If Panimalar spent 10 days making jam, he jarred 80 litres.



3)  

Amutha used 32 centimetres of tape to wrap 4 presents. How many presents did Amutha wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  Answer: 64 presents


SOLUTION 1 :

Find the cross products and solve for W

 
 W
4
 = 
 
32
16
  

 

Find the cross products

8W = 32 x 8 

Simplify

4W = 256  

Divide both sides by 4

W = 64 

If Amutha used 8 centimetres of tape, he must have wrapped 64 presents.



4)  

Tulasi took a total of 36 quizzes over the course of 6 weeks. After attending 12 weeks of school this quarter, how many quizzes will Tulasi have taken in total Assume the relationship is directly proportional.

  Answer: 72 quizzes


SOLUTION 1 :

Find the cross products and solve for T

 
 T
6
 = 
 
36
18
  

 

Find the cross products

12T = 36 x 12 

Simplify

6T = 432  

Divide both sides by 6

T = 72 

After attending 12 weeks of school this quarter, Tulasi will have taken a total of 72 quizzes.



5)  

Amutha office recycled a total of 48 kilograms of paper over 6 weeks. After 12 weeks, how many kilograms of paper will Amutha office have recycled Assume the relationship is directly proportional.

  Answer: 96 kilograms


SOLUTION 1 :

Find the cross products and solve for A

 
 A
6
 = 
 
48
24
  

 

Find the cross products

12A = 48 x 12 

Simplify

6A = 576  

Divide both sides by 6

A = 96 

 



6)  

Chithra jarred 20 litres of jam after 5 days. How much jam did Chithra jar if he spent 10 days making jam Assume the relationship is directly proportional.

  Answer: 40 litres


SOLUTION 1 :

Find the cross products and solve for C

 
 C
5
 = 
 
20
10
  

 

Find the cross products

10C = 20 x 10 

Simplify

5C = 200  

Divide both sides by 5

C = 40 

 If Chithra spent 10 days making jam, he jarred 40 litres.



7)  

Parveen used 24 centimetres of tape to wrap 4 presents. How many presents did Parveen wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  Answer: 48 presents


SOLUTION 1 :

Find the cross products and solve for Z

 
 Z
4
 = 
 
24
12
  

 

Find the cross products

8Z = 24 x 8 

Simplify

4Z = 192  

Divide both sides by 4

Z = 48 

If Parveen used 8 centimetres of tape, he must have wrapped 48 presents.



8)  

Chellamal took a total of 40 quizzes over the course of 5 weeks. After attending 10 weeks of school this quarter, how many quizzes will Chellamal have taken in total Assume the relationship is directly proportional.

  Answer: 80 quizzes


SOLUTION 1 :

Find the cross products and solve for B

 
 B
5
 = 
 
40
20
  

 

Find the cross products

10B = 40 x 10 

Simplify

5B = 400  

Divide both sides by 5

B = 80 

After attending 10 weeks of school this quarter, Chellamal will have taken a total of 80 quizzes.



9)  

Pavi office recycled a total of 30 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Pavi office have recycled Assume the relationship is directly proportional.

  Answer: 60 kilograms


SOLUTION 1 :

Find the cross products and solve for G

 
 G
3
 = 
 
30
15
  

 

Find the cross products

6G = 30 x 6 

Simplify

3G = 180  

Divide both sides by 3

G = 60 

 



10)  

Nandini jarred 20 litres of jam after 5 days. How much jam did Nandini jar if he spent 10 days making jam Assume the relationship is directly proportional.

  Answer: 40 litres


SOLUTION 1 :

Find the cross products and solve for M

 
 M
5
 = 
 
20
10
  

 

Find the cross products

10M = 20 x 10 

Simplify

5M = 200  

Divide both sides by 5

M = 40 

 If Nandini spent 10 days making jam, he jarred 40 litres.