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)  

Pavi office recycled a total of 12 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:_______________




2)  

Selvanayaki used 24 centimetres of tape to wrap 3 presents. How many presents did Selvanayaki wrap if he used 6 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




3)  

Panimalar took a total of 30 quizzes over the course of 5 weeks. After attending 10 weeks of school this quarter, how many quizzes will Panimalar have taken in total Assume the relationship is directly proportional.

  quizzes


Answer:_______________




4)  

Ponnalagu jarred 48 litres of jam after 6 days. How much jam did Ponnalagu jar if he spent 12 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




5)  

Ponnalagu office recycled a total of 24 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Ponnalagu office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




6)  

Poongodi used 36 centimetres of tape to wrap 6 presents. How many presents did Poongodi wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




7)  

Savithri took a total of 32 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes will Savithri have taken in total Assume the relationship is directly proportional.

  quizzes


Answer:_______________




8)  

Indra jarred 30 litres of jam after 5 days. How much jam did Indra jar if he spent 10 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




9)  

Chithra office recycled a total of 12 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Chithra office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




10)  

Poongodi used 40 centimetres of tape to wrap 4 presents. How many presents did Poongodi wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




 

1)  

Pavi office recycled a total of 12 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: 24 kilograms


SOLUTION 1 :

Find the cross products and solve for C

 
 C
3
 = 
 
12
6
  

 

Find the cross products

6C = 12 x 6 

Simplify

3C = 72  

Divide both sides by 3

C = 24 

 



2)  

Selvanayaki used 24 centimetres of tape to wrap 3 presents. How many presents did Selvanayaki wrap if he used 6 centimetres of tape Assume the relationship is directly proportional.

  Answer: 48 presents


SOLUTION 1 :

Find the cross products and solve for D

 
 D
3
 = 
 
24
12
  

 

Find the cross products

6D = 24 x 6 

Simplify

3D = 144  

Divide both sides by 3

D = 48 

If Selvanayaki used 6 centimetres of tape, he must have wrapped 48 presents.



3)  

Panimalar took a total of 30 quizzes over the course of 5 weeks. After attending 10 weeks of school this quarter, how many quizzes will Panimalar have taken in total Assume the relationship is directly proportional.

  Answer: 60 quizzes


SOLUTION 1 :

Find the cross products and solve for J

 
 J
5
 = 
 
30
15
  

 

Find the cross products

10J = 30 x 10 

Simplify

5J = 300  

Divide both sides by 5

J = 60 

After attending 10 weeks of school this quarter, Panimalar will have taken a total of 60 quizzes.



4)  

Ponnalagu jarred 48 litres of jam after 6 days. How much jam did Ponnalagu jar if he spent 12 days making jam Assume the relationship is directly proportional.

  Answer: 96 litres


SOLUTION 1 :

Find the cross products and solve for K

 
 K
6
 = 
 
48
24
  

 

Find the cross products

12K = 48 x 12 

Simplify

6K = 576  

Divide both sides by 6

K = 96 

 If Ponnalagu spent 12 days making jam, he jarred 96 litres.



5)  

Ponnalagu office recycled a total of 24 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Ponnalagu office have recycled Assume the relationship is directly proportional.

  Answer: 48 kilograms


SOLUTION 1 :

Find the cross products and solve for I

 
 I
3
 = 
 
24
12
  

 

Find the cross products

6I = 24 x 6 

Simplify

3I = 144  

Divide both sides by 3

I = 48 

 



6)  

Poongodi used 36 centimetres of tape to wrap 6 presents. How many presents did Poongodi wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  Answer: 72 presents


SOLUTION 1 :

Find the cross products and solve for O

 
 O
6
 = 
 
36
18
  

 

Find the cross products

12O = 36 x 12 

Simplify

6O = 432  

Divide both sides by 6

O = 72 

If Poongodi used 12 centimetres of tape, he must have wrapped 72 presents.



7)  

Savithri took a total of 32 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes will Savithri have taken in total Assume the relationship is directly proportional.

  Answer: 64 quizzes


SOLUTION 1 :

Find the cross products and solve for C

 
 C
4
 = 
 
32
16
  

 

Find the cross products

8C = 32 x 8 

Simplify

4C = 256  

Divide both sides by 4

C = 64 

After attending 8 weeks of school this quarter, Savithri will have taken a total of 64 quizzes.



8)  

Indra jarred 30 litres of jam after 5 days. How much jam did Indra jar if he spent 10 days making jam Assume the relationship is directly proportional.

  Answer: 60 litres


SOLUTION 1 :

Find the cross products and solve for M

 
 M
5
 = 
 
30
15
  

 

Find the cross products

10M = 30 x 10 

Simplify

5M = 300  

Divide both sides by 5

M = 60 

 If Indra spent 10 days making jam, he jarred 60 litres.



9)  

Chithra office recycled a total of 12 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Chithra office have recycled Assume the relationship is directly proportional.

  Answer: 24 kilograms


SOLUTION 1 :

Find the cross products and solve for E

 
 E
3
 = 
 
12
6
  

 

Find the cross products

6E = 12 x 6 

Simplify

3E = 72  

Divide both sides by 3

E = 24 

 



10)  

Poongodi used 40 centimetres of tape to wrap 4 presents. How many presents did Poongodi wrap if he used 8 centimetres of tape Assume the relationship is directly proportional.

  Answer: 80 presents


SOLUTION 1 :

Find the cross products and solve for H

 
 H
4
 = 
 
40
20
  

 

Find the cross products

8H = 40 x 8 

Simplify

4H = 320  

Divide both sides by 4

H = 80 

If Poongodi used 8 centimetres of tape, he must have wrapped 80 presents.