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 38 of his salary to his brother. In the end, he was left with $507 for himself.

 How much was his salary

$ ___


Answer:_______________




2)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2262 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $138, how much did he have at first

$ ___


Answer:_______________




4)  

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 324 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




5)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 339 apples,

how many apples did he have at first


Answer:_______________




6)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $57,

how much money did he have at first

$ ___


Answer:_______________




7)  

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 $78,

how much money did he have at first

$ ___


Answer:_______________




8)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 10 stamps left, how many stamps did Joe have at first


Answer:_______________




9)  

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 $660 for himself.

How much was his salary

$ ___


Answer:_______________




10)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3102 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

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 $507 for himself.

 How much was his salary

Answer: $1352


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$507 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $507
  1 unit  = $507 ÷ 3
    = $169
Step 4:  8 units  = 8 x $169
    = $1352

His salary was $1352.



2)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2262 m of the track is painted grey,

how long is the entire track

Answer: 4524 m


SOLUTION 1 :
 
 
 
 
 
 
 
 
Red
 
 
Yellow
 
 
Grey

Step 1:  1 x 23 x 2 + 26 = 26 + 16

                            = 36

Step 2: 66 - 36 = 36

Step 3:  3 units  = 2262 m
  1 unit  = 2262 m ÷ 3
    = 754 m
Step 4:  6 units  = 6 x 754 m
    = 4524 m

The entire track was 4524 m long.



3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $138, how much did he have at first

Answer: $552


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$138 left

Step 1: 1 x 43 x 4 + 512412 + 512

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $138
 1 unit = $138 ÷ 3
  = 46
Step 4: 12 units= 12 x  46
  = $552

He have $552 at first.



4)  

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 324 cm of the string after tying the present and making the decorations,

how long was the original string

Answer: 729 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
324 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 324 cm
 1 unit = 324 ÷ 4
  = 81 cm
Step 4: 9 units = 9 x 81
  = 729 cm

The original string was 729 cm.

                          



5)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 339 apples,

how many apples did he have at first

Answer: 678


SOLUTION 1 :
 
 
 
 
 
 
 
 
A.M.
 
 
P.M.
 
 
339 left

Step 1: 1 x 23 x 2 + 16 = 26 + 16

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 339
 1 unit = 339 ÷ 3
  = 113
Step 4: 6 units = 6 x 113
  = 678

He had 678 apples at first.



6)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $57,

how much money did he have at first

Answer: $133


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $57
 1 unit = $57 ÷ 3
  = $19
Step 4: 7 units = 7 x $19
  = $133

He had $133 at first.

                       



7)  

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 $78,

how much money did he have at first

Answer: $156


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $78
   1 unit   = $78 ÷ 6
     = $13
 Step 2:  12 units   = 12 x $13
     = $156

He had $156 at first.

                         



8)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 10 stamps left, how many stamps did Joe have at first

Answer: 45


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
10 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 10
 1 unit = 10 ÷ 2
  = 5
Step 4: 9 units = 9 x 5
  = 45

He have 45 stamps at first.



9)  

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 $660 for himself.

How much was his salary

Answer: $5280


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$660 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $660
Step 4:  8 units  = 8 x $660
    = $5280

 His salary was $5280.



10)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3102 m of the track is painted grey,

how long is the entire track

Answer: 8272 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 = 3102 m
 1 unit= 3102 m ÷ 3
  = 1034 m
Step 4: 8 units = 8 x 1034 m
  = 8272 m

The entire track was 8272 m long.