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)  

Ponnalagu used 30 centimetres of tape to wrap 3 presents. How many presents did Ponnalagu wrap if he used 6 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




2)  

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:_______________




3)  

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

  quizzes


Answer:_______________




4)  

Kumutha office recycled a total of 40 kilograms of paper over 4 weeks. After 8 weeks, how many kilograms of paper will Kumutha office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




5)  

Mithra used 60 centimetres of tape to wrap 6 presents. How many presents did Mithra wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




6)  

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

  litres


Answer:_______________




7)  

Savithri took a total of 40 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)  

Thamarai office recycled a total of 50 kilograms of paper over 5 weeks. After 10 weeks, how many kilograms of paper will Thamarai office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




9)  

Kumutha used 60 centimetres of tape to wrap 6 presents. How many presents did Kumutha wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  presents


Answer:_______________




10)  

Swathi jarred 32 litres of jam after 4 days. How much jam did Swathi jar if he spent 8 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




 

1)  

Ponnalagu used 30 centimetres of tape to wrap 3 presents. How many presents did Ponnalagu wrap if he used 6 centimetres of tape Assume the relationship is directly proportional.

  Answer: 60 presents


SOLUTION 1 :

Find the cross products and solve for H

 
 H
3
 = 
 
30
15
  

 

Find the cross products

6H = 30 x 6 

Simplify

3H = 180  

Divide both sides by 3

H = 60 

If Ponnalagu used 6 centimetres of tape, he must have wrapped 60 presents.



2)  

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 X

 
 X
6
 = 
 
48
24
  

 

Find the cross products

12X = 48 x 12 

Simplify

6X = 576  

Divide both sides by 6

X = 96 

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



3)  

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

  Answer: 64 quizzes


SOLUTION 1 :

Find the cross products and solve for O

 
 O
4
 = 
 
32
16
  

 

Find the cross products

8O = 32 x 8 

Simplify

4O = 256  

Divide both sides by 4

O = 64 

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



4)  

Kumutha office recycled a total of 40 kilograms of paper over 4 weeks. After 8 weeks, how many kilograms of paper will Kumutha office have recycled Assume the relationship is directly proportional.

  Answer: 80 kilograms


SOLUTION 1 :

Find the cross products and solve for A

 
 A
4
 = 
 
40
20
  

 

Find the cross products

8A = 40 x 8 

Simplify

4A = 320  

Divide both sides by 4

A = 80 

 



5)  

Mithra used 60 centimetres of tape to wrap 6 presents. How many presents did Mithra wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  Answer: 120 presents


SOLUTION 1 :

Find the cross products and solve for V

 
 V
6
 = 
 
60
30
  

 

Find the cross products

12V = 60 x 12 

Simplify

6V = 720  

Divide both sides by 6

V = 120 

If Mithra used 12 centimetres of tape, he must have wrapped 120 presents.



6)  

Thamarai jarred 20 litres of jam after 5 days. How much jam did Thamarai 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 Y

 
 Y
5
 = 
 
20
10
  

 

Find the cross products

10Y = 20 x 10 

Simplify

5Y = 200  

Divide both sides by 5

Y = 40 

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



7)  

Savithri took a total of 40 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: 80 quizzes


SOLUTION 1 :

Find the cross products and solve for U

 
 U
4
 = 
 
40
20
  

 

Find the cross products

8U = 40 x 8 

Simplify

4U = 320  

Divide both sides by 4

U = 80 

After attending 8 weeks of school this quarter, Savithri will have taken a total of 80 quizzes.



8)  

Thamarai office recycled a total of 50 kilograms of paper over 5 weeks. After 10 weeks, how many kilograms of paper will Thamarai office have recycled Assume the relationship is directly proportional.

  Answer: 100 kilograms


SOLUTION 1 :

Find the cross products and solve for K

 
 K
5
 = 
 
50
25
  

 

Find the cross products

10K = 50 x 10 

Simplify

5K = 500  

Divide both sides by 5

K = 100 

 



9)  

Kumutha used 60 centimetres of tape to wrap 6 presents. How many presents did Kumutha wrap if he used 12 centimetres of tape Assume the relationship is directly proportional.

  Answer: 120 presents


SOLUTION 1 :

Find the cross products and solve for H

 
 H
6
 = 
 
60
30
  

 

Find the cross products

12H = 60 x 12 

Simplify

6H = 720  

Divide both sides by 6

H = 120 

If Kumutha used 12 centimetres of tape, he must have wrapped 120 presents.



10)  

Swathi jarred 32 litres of jam after 4 days. How much jam did Swathi jar if he spent 8 days making jam Assume the relationship is directly proportional.

  Answer: 64 litres


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 

 If Swathi spent 8 days making jam, he jarred 64 litres.