Scroll:Fraction >> 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 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 $144 for himself.

 How much was his salary

$ ___


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 $48,

how much money did he have at first

$ ___


Answer:_______________




3)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 58 stamps left, how many stamps did Joe have at first


Answer:_______________




4)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $42, how much did he have at first

$ ___


Answer:_______________




5)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 156 pies,

how many pies did he bake at first


Answer:_______________




6)  

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

how long was the original string

cm


Answer:_______________




7)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $51,

how much money did he have at first

$ ___


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 489 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 58 of his salary to his brother. In the end, he was left with $480 for himself.

How much was his salary

$ ___


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 460 apples,

how many apples did he have at first


Answer:_______________




 

1)  

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 $144 for himself.

 How much was his salary

Answer: $384


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$144 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $144
  1 unit  = $144 ÷ 3
    = $48
Step 4:  8 units  = 8 x $48
    = $384

His salary was $384.



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 $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.

                         



3)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 58 stamps left, how many stamps did Joe have at first

Answer: 261


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
58 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 58
 1 unit = 58 ÷ 2
  = 29
Step 4: 9 units = 9 x 29
  = 261

He have 261 stamps at first.



4)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $42, how much did he have at first

Answer: $168


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$42 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $42
 1 unit = $42 ÷ 3
  = 14
Step 4: 12 units= 12 x  14
  = $168

He have $168 at first.



5)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 156 pies,

how many pies did he bake at first

Answer: 234


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
156 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 156
 1 unit = 156 ÷ 4
  = 39
Step 4: 6 units = 6 x 39
  = 234

He baked 234 pies at first.



6)  

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

how long was the original string

Answer: 666 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
296 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 296 cm
 1 unit = 296 ÷ 4
  = 74 cm
Step 4: 9 units = 9 x 74
  = 666 cm

The original string was 666 cm.

                          



7)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $51,

how much money did he have at first

Answer: $119


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $51
 1 unit = $51 ÷ 3
  = $17
Step 4: 7 units = 7 x $17
  = $119

He had $119 at first.

                       



8)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 489 apples,

how many apples did he have at first

Answer: 978


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 489
 1 unit = 489 ÷ 3
  = 163
Step 4: 6 units = 6 x 163
  = 978

He had 978 apples at first.



9)  

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 $480 for himself.

How much was his salary

Answer: $3840


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$480 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $480
Step 4:  8 units  = 8 x $480
    = $3840

 His salary was $3840.



10)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 460 apples,

how many apples did he have at first

Answer: 1380


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 460
 1 unit = 460 ÷ 2
  = 230
Step 4: 6 units = 6 x 230
  = 1380

He had 1380 apples at first.