Scroll:Fractions >> 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)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2559 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




2)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 2799 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 136 pies,

how many pies did he bake 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 24 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




5)  

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 $762 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

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

how long was the original string

cm


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 $60,

how much money did he have at first

$ ___


Answer:_______________




8)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $75,

how much money did he have at first

$ ___


Answer:_______________




9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 54 stamps left, how many stamps did Joe have at first


Answer:_______________




10)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 388 apples,

how many apples did he have at first


Answer:_______________




 

1)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2559 m of the track is painted grey,

how long is the entire track

Answer: 20472 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  = 2559 m
  8 units = 8 x 2559 m
    = 20472 m

 The entire track was 20472 m long.



2)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 2799 m of the track is painted grey,

how long is the entire track

Answer: 7464 m


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Red
 
 
Yellow
 
 
Grey

Step 1:  1 x 42 x 4 + 18 = 48 + 18

                            = 58

Step 2: 88 - 58 = 38

Step 3:  3 units  = 2799 m
  1 unit  = 2799 m ÷ 3
    = 933 m
Step 4:  8 units  = 8 x 933 m
    = 7464 m

The entire track was 7464 m long.



3)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 136 pies,

how many pies did he bake at first

Answer: 204


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
136 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 136
 1 unit = 136 ÷ 4
  = 34
Step 4: 6 units = 6 x 34
  = 204

He baked 204 pies 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 24 cm of the string after tying the present and making the decorations,

how long was the original string

Answer: 54 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
24 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 24 cm
 1 unit = 24 ÷ 4
  = 6 cm
Step 4: 9 units = 9 x 6
  = 54 cm

The original string was 54 cm.

                          



5)  

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 $762 for himself.

 How much was his salary

Answer: $2032


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$762 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $762
  1 unit  = $762 ÷ 3
    = $254
Step 4:  8 units  = 8 x $254
    = $2032

His salary was $2032.



6)  

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

how long was the original string

Answer: 616 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
385 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 385 cm
  1 unit  = 385 ÷ 5
    = 77 cm
Step 4:  8 units  = 8 x 77
    = 616 cm

The original string was 616 cm.



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 $60,

how much money did he have at first

Answer: $120


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $60
   1 unit   = $60 ÷ 6
     = $10
 Step 2:  12 units   = 12 x $10
     = $120

He had $120 at first.

                         



8)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $75,

how much money did he have at first

Answer: $175


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $75
 1 unit = $75 ÷ 3
  = $25
Step 4: 7 units = 7 x $25
  = $175

He had $175 at first.

                       



9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 54 stamps left, how many stamps did Joe have at first

Answer: 243


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
54 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 54
 1 unit = 54 ÷ 2
  = 27
Step 4: 9 units = 9 x 27
  = 243

He have 243 stamps at first.



10)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 388 apples,

how many apples did he have at first

Answer: 1164


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

Step 1: 1 x 32 x 3 + 16 = 36 + 16

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 388
 1 unit = 388 ÷ 2
  = 194
Step 4: 6 units = 6 x 194
  = 1164

He had 1164 apples at first.