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)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 132 pies,

how many pies did he bake at first


Answer:_______________




2)  

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 $72,

how much money did he have at first

$ ___


Answer:_______________




3)  

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 $327 for himself.

 How much was his salary

$ ___


Answer:_______________




4)  

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:_______________




5)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1356 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

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:_______________




7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 2079 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




8)  

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 $528 for himself.

 How much was his salary

$ ___


Answer:_______________




9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 78 stamps left, how many stamps did Joe have at first


Answer:_______________




10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 764 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 132 pies,

how many pies did he bake at first

Answer: 198


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
132 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 132
 1 unit = 132 ÷ 4
  = 33
Step 4: 6 units = 6 x 33
  = 198

He baked 198 pies at first.



2)  

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 $72,

how much money did he have at first

Answer: $144


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $72
   1 unit   = $72 ÷ 6
     = $12
 Step 2:  12 units   = 12 x $12
     = $144

He had $144 at first.

                         



3)  

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 $327 for himself.

 How much was his salary

Answer: $872


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$327 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $327
  1 unit  = $327 ÷ 3
    = $109
Step 4:  8 units  = 8 x $109
    = $872

His salary was $872.



4)  

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.



5)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1356 m of the track is painted grey,

how long is the entire track

Answer: 3616 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 = 1356 m
 1 unit= 1356 m ÷ 3
  = 452 m
Step 4: 8 units = 8 x 452 m
  = 3616 m

The entire track was 3616 m long.

                         



6)  

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.

                       



7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 2079 m of the track is painted grey,

how long is the entire track

Answer: 5544 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  = 2079 m
  1 unit  = 2079 m ÷ 3
    = 693 m
Step 4:  8 units  = 8 x 693 m
    = 5544 m

The entire track was 5544 m long.



8)  

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 $528 for himself.

 How much was his salary

Answer: $1320


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$528 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $528
 1 unit = $528 ÷ 4
  = $132
Step 4: 10 units = 10 x $132
  = $1320

His salary was $1320.



9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 78 stamps left, how many stamps did Joe have at first

Answer: 351


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
78 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 78
 1 unit = 78 ÷ 2
  = 39
Step 4: 9 units = 9 x 39
  = 351

He have 351 stamps at first.



10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 764 m of the track is painted grey,

how long is the entire track

Answer: 6112 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  = 764 m
  8 units = 8 x 764 m
    = 6112 m

 The entire track was 6112 m long.