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)  

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 $400 for himself.

 How much was his salary

$ ___


Answer:_______________




2)  

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

how long was the original string

cm


Answer:_______________




3)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 237 apples,

how many apples did he have at first


Answer:_______________




4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $30,

how much money did he 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 $726 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2434 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

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

how long was the original string

cm


Answer:_______________




8)  

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 $500 for himself.

How much was his salary

$ ___


Answer:_______________




9)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $57, how much did he have at first

$ ___


Answer:_______________




10)  

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 $78,

how much money did he have at first

$ ___


Answer:_______________




 

1)  

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 $400 for himself.

 How much was his salary

Answer: $1000


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$400 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $400
 1 unit = $400 ÷ 4
  = $100
Step 4: 10 units = 10 x $100
  = $1000

His salary was $1000.



2)  

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

how long was the original string

Answer: 279 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
124 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 124 cm
 1 unit = 124 ÷ 4
  = 31 cm
Step 4: 9 units = 9 x 31
  = 279 cm

The original string was 279 cm.

                          



3)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 237 apples,

how many apples did he have at first

Answer: 474


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 237
 1 unit = 237 ÷ 3
  = 79
Step 4: 6 units = 6 x 79
  = 474

He had 474 apples at first.



4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $30,

how much money did he have at first

Answer: $70


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $30
 1 unit = $30 ÷ 3
  = $10
Step 4: 7 units = 7 x $10
  = $70

He had $70 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 $726 for himself.

 How much was his salary

Answer: $1936


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$726 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $726
  1 unit  = $726 ÷ 3
    = $242
Step 4:  8 units  = 8 x $242
    = $1936

His salary was $1936.



6)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2434 m of the track is painted grey,

how long is the entire track

Answer: 19472 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  = 2434 m
  8 units = 8 x 2434 m
    = 19472 m

 The entire track was 19472 m long.



7)  

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

how long was the original string

Answer: 240 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
150 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 150 cm
  1 unit  = 150 ÷ 5
    = 30 cm
Step 4:  8 units  = 8 x 30
    = 240 cm

The original string was 240 cm.



8)  

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 $500 for himself.

How much was his salary

Answer: $4000


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$500 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $500
Step 4:  8 units  = 8 x $500
    = $4000

 His salary was $4000.



9)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $57, how much did he have at first

Answer: $228


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$57 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $57
 1 unit = $57 ÷ 3
  = 19
Step 4: 12 units= 12 x  19
  = $228

He have $228 at first.



10)  

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 $78,

how much money did he have at first

Answer: $156


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $78
   1 unit   = $78 ÷ 6
     = $13
 Step 2:  12 units   = 12 x $13
     = $156

He had $156 at first.