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)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 114 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




2)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 154 apples,

how many apples did he have at first


Answer:_______________




3)  

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

how long was the original string

cm


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 $48,

how much money did he have at first

$ ___


Answer:_______________




5)  

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

how long was the original string

cm


Answer:_______________




6)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2616 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 532 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




8)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 471 apples,

how many apples did he have at first


Answer:_______________




9)  

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 $141 for himself.

 How much was his salary

$ ___


Answer:_______________




10)  

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:_______________




 

1)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 114 m of the track is painted grey,

how long is the entire track

Answer: 304 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  = 114 m
  1 unit  = 114 m ÷ 3
    = 38 m
Step 4:  8 units  = 8 x 38 m
    = 304 m

The entire track was 304 m long.



2)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 154 apples,

how many apples did he have at first

Answer: 462


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 154
 1 unit = 154 ÷ 2
  = 77
Step 4: 6 units = 6 x 77
  = 462

He had 462 apples at first.



3)  

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

how long was the original string

Answer: 200 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
125 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 125 cm
  1 unit  = 125 ÷ 5
    = 25 cm
Step 4:  8 units  = 8 x 25
    = 200 cm

The original string was 200 cm.



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 $48,

how much money did he have at first

Answer: $96


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $48
   1 unit   = $48 ÷ 6
     = $8
 Step 2:  12 units   = 12 x $8
     = $96

He had $96 at first.

                         



5)  

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

how long was the original string

Answer: 369 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
164 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 164 cm
 1 unit = 164 ÷ 4
  = 41 cm
Step 4: 9 units = 9 x 41
  = 369 cm

The original string was 369 cm.

                          



6)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2616 m of the track is painted grey,

how long is the entire track

Answer: 5232 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  = 2616 m
  1 unit  = 2616 m ÷ 3
    = 872 m
Step 4:  6 units  = 6 x 872 m
    = 5232 m

The entire track was 5232 m long.



7)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 532 m of the track is painted grey,

how long is the entire track

Answer: 4256 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  = 532 m
  8 units = 8 x 532 m
    = 4256 m

 The entire track was 4256 m long.



8)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 471 apples,

how many apples did he have at first

Answer: 942


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 471
 1 unit = 471 ÷ 3
  = 157
Step 4: 6 units = 6 x 157
  = 942

He had 942 apples at first.



9)  

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 $141 for himself.

 How much was his salary

Answer: $376


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$141 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $141
  1 unit  = $141 ÷ 3
    = $47
Step 4:  8 units  = 8 x $47
    = $376

His salary was $376.



10)  

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.