Scroll:Fractions >> Model Approach >> 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)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $48,

how much money did he have 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 $54,

how much money did he have at first

$ ___


Answer:_______________




3)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3879 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




4)  

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:_______________




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 $921 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 180 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




7)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 264 apples,

how many apples did he have at first


Answer:_______________




8)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 300 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 149 m of the track is painted grey,

how long is the entire track

m


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 52 apples,

how many apples did he have at first


Answer:_______________




 

1)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $48,

how much money did he have at first

Answer: $112


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $48
 1 unit = $48 ÷ 3
  = $16
Step 4: 7 units = 7 x $16
  = $112

He had $112 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 $54,

how much money did he have at first

Answer: $108


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $54
   1 unit   = $54 ÷ 6
     = $9
 Step 2:  12 units   = 12 x $9
     = $108

He had $108 at first.

                         



3)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3879 m of the track is painted grey,

how long is the entire track

Answer: 10344 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  = 3879 m
  1 unit  = 3879 m ÷ 3
    = 1293 m
Step 4:  8 units  = 8 x 1293 m
    = 10344 m

The entire track was 10344 m long.



4)  

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.



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 $921 for himself.

 How much was his salary

Answer: $2456


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$921 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $921
  1 unit  = $921 ÷ 3
    = $307
Step 4:  8 units  = 8 x $307
    = $2456

His salary was $2456.



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

how long was the original string

Answer: 288 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
180 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 180 cm
  1 unit  = 180 ÷ 5
    = 36 cm
Step 4:  8 units  = 8 x 36
    = 288 cm

The original string was 288 cm.



7)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 264 apples,

how many apples did he have at first

Answer: 528


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 264
 1 unit = 264 ÷ 3
  = 88
Step 4: 6 units = 6 x 88
  = 528

He had 528 apples at first.



8)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 300 m of the track is painted grey,

how long is the entire track

Answer: 800 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 = 300 m
 1 unit= 300 m ÷ 3
  = 100 m
Step 4: 8 units = 8 x 100 m
  = 800 m

The entire track was 800 m long.

                         



9)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 149 m of the track is painted grey,

how long is the entire track

Answer: 1192 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  = 149 m
  8 units = 8 x 149 m
    = 1192 m

 The entire track was 1192 m long.



10)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 52 apples,

how many apples did he have at first

Answer: 156


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 52
 1 unit = 52 ÷ 2
  = 26
Step 4: 6 units = 6 x 26
  = 156

He had 156 apples at first.