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)  

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

  litres


Answer:_______________




2)  

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

  quizzes


Answer:_______________




3)  

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

  presents


Answer:_______________




4)  

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

  kilograms


Answer:_______________




5)  

Ovini jarred 36 litres of jam after 6 days. How much jam did Ovini jar if he spent 12 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




6)  

Tamilselvi took a total of 24 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Tamilselvi have taken in total Assume the relationship is directly proportional.

  quizzes


Answer:_______________




7)  

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

  presents


Answer:_______________




8)  

Ovini office recycled a total of 18 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Ovini office have recycled Assume the relationship is directly proportional.

  kilograms


Answer:_______________




9)  

Savithri jarred 24 litres of jam after 4 days. How much jam did Savithri jar if he spent 8 days making jam Assume the relationship is directly proportional.

  litres


Answer:_______________




10)  

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

  quizzes


Answer:_______________




 

1)  

Amutha jarred 30 litres of jam after 5 days. How much jam did Amutha 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 X

 
 X
5
 = 
 
30
15
  

 

Find the cross products

10X = 30 x 10 

Simplify

5X = 300  

Divide both sides by 5

X = 60 

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



2)  

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

  Answer: 72 quizzes


SOLUTION 1 :

Find the cross products and solve for P

 
 P
6
 = 
 
36
18
  

 

Find the cross products

12P = 36 x 12 

Simplify

6P = 432  

Divide both sides by 6

P = 72 

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



3)  

Indra used 24 centimetres of tape to wrap 3 presents. How many presents did Indra 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 L

 
 L
3
 = 
 
24
12
  

 

Find the cross products

6L = 24 x 6 

Simplify

3L = 144  

Divide both sides by 3

L = 48 

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



4)  

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

  Answer: 80 kilograms


SOLUTION 1 :

Find the cross products and solve for Z

 
 Z
4
 = 
 
40
20
  

 

Find the cross products

8Z = 40 x 8 

Simplify

4Z = 320  

Divide both sides by 4

Z = 80 

 



5)  

Ovini jarred 36 litres of jam after 6 days. How much jam did Ovini jar if he spent 12 days making jam Assume the relationship is directly proportional.

  Answer: 72 litres


SOLUTION 1 :

Find the cross products and solve for P

 
 P
6
 = 
 
36
18
  

 

Find the cross products

12P = 36 x 12 

Simplify

6P = 432  

Divide both sides by 6

P = 72 

 If Ovini spent 12 days making jam, he jarred 72 litres.



6)  

Tamilselvi took a total of 24 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Tamilselvi have taken in total Assume the relationship is directly proportional.

  Answer: 48 quizzes


SOLUTION 1 :

Find the cross products and solve for N

 
 N
3
 = 
 
24
12
  

 

Find the cross products

6N = 24 x 6 

Simplify

3N = 144  

Divide both sides by 3

N = 48 

After attending 6 weeks of school this quarter, Tamilselvi will have taken a total of 48 quizzes.



7)  

Haritha used 24 centimetres of tape to wrap 3 presents. How many presents did Haritha 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 K

 
 K
3
 = 
 
24
12
  

 

Find the cross products

6K = 24 x 6 

Simplify

3K = 144  

Divide both sides by 3

K = 48 

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



8)  

Ovini office recycled a total of 18 kilograms of paper over 3 weeks. After 6 weeks, how many kilograms of paper will Ovini office have recycled Assume the relationship is directly proportional.

  Answer: 36 kilograms


SOLUTION 1 :

Find the cross products and solve for G

 
 G
3
 = 
 
18
9
  

 

Find the cross products

6G = 18 x 6 

Simplify

3G = 108  

Divide both sides by 3

G = 36 

 



9)  

Savithri jarred 24 litres of jam after 4 days. How much jam did Savithri jar if he spent 8 days making jam Assume the relationship is directly proportional.

  Answer: 48 litres


SOLUTION 1 :

Find the cross products and solve for H

 
 H
4
 = 
 
24
12
  

 

Find the cross products

8H = 24 x 8 

Simplify

4H = 192  

Divide both sides by 4

H = 48 

 If Savithri spent 8 days making jam, he jarred 48 litres.



10)  

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

  Answer: 64 quizzes


SOLUTION 1 :

Find the cross products and solve for A

 
 A
4
 = 
 
32
16
  

 

Find the cross products

8A = 32 x 8 

Simplify

4A = 256  

Divide both sides by 4

A = 64 

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