Scroll:Fraction >> Four Operations of Fractions >> ps (3037)


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)  

Mr Winchester spent 14 of his salary to pay the household bills and gave 58 of his salary to his brother. In the end, he was left with $680 for himself.

How much was his salary

$ ___


Answer:_______________




2)  

Mr Winchester spent 14 of his salary to pay the household bills and gave 38 of his salary to his brother. In the end, he was left with $123 for himself.

 How much was his salary

$ ___


Answer:_______________




3)  

Rei used 112 of his money to buy a new swimwear. He also used 512 of his money to buy glasses. If he was left with $84,

how much money did he have at first

$ ___


Answer:_______________




4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $60,

how much money did he have at first

$ ___


Answer:_______________




5)  

James used 14 of a roll of string to tie a present. He then used 18 of the string to make decorations for a birthday party. Given that he was left with 60 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 72 stamps left, how many stamps did Joe have at first


Answer:_______________




7)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3951 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3559 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

Zac used 13 of a roll of string to tie a present. He then used 29 of the string to make decorations for a birthday party. Given that he was left with 36 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




10)  

Mr Winchester spent 110 of his salary to pay the household bills and gave 12 of his salary to his brother. In the end, he was left with $568 for himself.

 How much was his salary

$ ___


Answer:_______________




 

1)  

Mr Winchester spent 14 of his salary to pay the household bills and gave 58 of his salary to his brother. In the end, he was left with $680 for himself.

How much was his salary

Answer: $5440


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$680 left

Step 1: 1 x 24 x 2 + 58 = 28+58

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $680
Step 4:  8 units  = 8 x $680
    = $5440

 His salary was $5440.



2)  

Mr Winchester spent 14 of his salary to pay the household bills and gave 38 of his salary to his brother. In the end, he was left with $123 for himself.

 How much was his salary

Answer: $328


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$123 left

Step 1: 1 x 24 x 2+38 = 28+38

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $123
  1 unit  = $123 ÷ 3
    = $41
Step 4:  8 units  = 8 x $41
    = $328

His salary was $328.



3)  

Rei used 112 of his money to buy a new swimwear. He also used 512 of his money to buy glasses. If he was left with $84,

how much money did he have at first

Answer: $168


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $84
   1 unit   = $84 ÷ 6
     = $14
 Step 2:  12 units   = 12 x $14
     = $168

He had $168 at first.

                         



4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $60,

how much money did he have at first

Answer: $140


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $60
 1 unit = $60 ÷ 3
  = $20
Step 4: 7 units = 7 x $20
  = $140

He had $140 at first.

                       



5)  

James used 14 of a roll of string to tie a present. He then used 18 of the string to make decorations for a birthday party. Given that he was left with 60 cm of the string after tying the present and making the decorations,

how long was the original string

Answer: 96 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
60 cm left

Step 1: 1 x 24 x 2 + 18 = 28 + 18

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 60 cm
  1 unit  = 60 ÷ 5
    = 12 cm
Step 4:  8 units  = 8 x 12
    = 96 cm

The original string was 96 cm.



6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 72 stamps left, how many stamps did Joe have at first

Answer: 324


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
72 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 72
 1 unit = 72 ÷ 2
  = 36
Step 4: 9 units = 9 x 36
  = 324

He have 324 stamps at first.



7)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3951 m of the track is painted grey,

how long is the entire track

Answer: 10536 m


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Red
 
 
Yellow
 
 
Grey

Step 1:  1 x 24 x 2 + 38 = 28 + 38

                               = 58

Step 2: 88 - 58 = 38

Step 3: 3 units = 3951 m
 1 unit= 3951 m ÷ 3
  = 1317 m
Step 4: 8 units = 8 x 1317 m
  = 10536 m

The entire track was 10536 m long.

                         



8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3559 m of the track is painted grey,

how long is the entire track

Answer: 28472 m


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Red
 
 
Yellow
 
 
Grey

Step 1: 1 x 42 x 4 + 38 = 48 + 38

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = 3559 m
  8 units = 8 x 3559 m
    = 28472 m

 The entire track was 28472 m long.



9)  

Zac used 13 of a roll of string to tie a present. He then used 29 of the string to make decorations for a birthday party. Given that he was left with 36 cm of the string after tying the present and making the decorations,

how long was the original string

Answer: 81 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
36 cm left

Step 1: 1 x 33 x 3 + 29 = 39 + 29

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 36 cm
 1 unit = 36 ÷ 4
  = 9 cm
Step 4: 9 units = 9 x 9
  = 81 cm

The original string was 81 cm.

                          



10)  

Mr Winchester spent 110 of his salary to pay the household bills and gave 12 of his salary to his brother. In the end, he was left with $568 for himself.

 How much was his salary

Answer: $1420


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$568 left

 

Step 1: 110 + 1 x 52 x 5 = 110 + 510

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $568
 1 unit = $568 ÷ 4
  = $142
Step 4: 10 units = 10 x $142
  = $1420

His salary was $1420.