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)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $150, how much did he have at first

$ ___


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 $177 for himself.

 How much was his salary

$ ___


Answer:_______________




3)  

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 $450 for himself.

How much was his salary

$ ___


Answer:_______________




4)  

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 $96,

how much money did he have at first

$ ___


Answer:_______________




5)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3517 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 366 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 48 pies,

how many pies did he bake at first


Answer:_______________




8)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $87,

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 46 stamps left, how many stamps did Joe have at first


Answer:_______________




10)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3213 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $150, how much did he have at first

Answer: $600


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$150 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $150
 1 unit = $150 ÷ 3
  = 50
Step 4: 12 units= 12 x  50
  = $600

He have $600 at first.



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 $177 for himself.

 How much was his salary

Answer: $472


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$177 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $177
  1 unit  = $177 ÷ 3
    = $59
Step 4:  8 units  = 8 x $59
    = $472

His salary was $472.



3)  

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 $450 for himself.

How much was his salary

Answer: $3600


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$450 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $450
Step 4:  8 units  = 8 x $450
    = $3600

 His salary was $3600.



4)  

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 $96,

how much money did he have at first

Answer: $192


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $96
   1 unit   = $96 ÷ 6
     = $16
 Step 2:  12 units   = 12 x $16
     = $192

He had $192 at first.

                         



5)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3517 m of the track is painted grey,

how long is the entire track

Answer: 28136 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  = 3517 m
  8 units = 8 x 3517 m
    = 28136 m

 The entire track was 28136 m long.



6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 366 m of the track is painted grey,

how long is the entire track

Answer: 976 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 = 366 m
 1 unit= 366 m ÷ 3
  = 122 m
Step 4: 8 units = 8 x 122 m
  = 976 m

The entire track was 976 m long.

                         



7)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 48 pies,

how many pies did he bake at first

Answer: 72


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
48 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 48
 1 unit = 48 ÷ 4
  = 12
Step 4: 6 units = 6 x 12
  = 72

He baked 72 pies at first.



8)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $87,

how much money did he have at first

Answer: $203


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $87
 1 unit = $87 ÷ 3
  = $29
Step 4: 7 units = 7 x $29
  = $203

He had $203 at first.

                       



9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 46 stamps left, how many stamps did Joe have at first

Answer: 207


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
46 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 46
 1 unit = 46 ÷ 2
  = 23
Step 4: 9 units = 9 x 23
  = 207

He have 207 stamps at first.



10)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3213 m of the track is painted grey,

how long is the entire track

Answer: 8568 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  = 3213 m
  1 unit  = 3213 m ÷ 3
    = 1071 m
Step 4:  8 units  = 8 x 1071 m
    = 8568 m

The entire track was 8568 m long.