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)  

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 $42,

how much money did he have at first

$ ___


Answer:_______________




2)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 62 stamps left, how many stamps did Joe have at first


Answer:_______________




3)  

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

how long was the original string

cm


Answer:_______________




4)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3825 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




5)  

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

how long was the original string

cm


Answer:_______________




6)  

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 $470 for himself.

How much was his salary

$ ___


Answer:_______________




7)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $141, how much 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 3300 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

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 $424 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 386 apples,

how many apples did he have at first


Answer:_______________




 

1)  

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 $42,

how much money did he have at first

Answer: $84


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $42
   1 unit   = $42 ÷ 6
     = $7
 Step 2:  12 units   = 12 x $7
     = $84

He had $84 at first.

                         



2)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 62 stamps left, how many stamps did Joe have at first

Answer: 279


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
62 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 62
 1 unit = 62 ÷ 2
  = 31
Step 4: 9 units = 9 x 31
  = 279

He have 279 stamps at first.



3)  

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

how long was the original string

Answer: 567 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
252 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 252 cm
 1 unit = 252 ÷ 4
  = 63 cm
Step 4: 9 units = 9 x 63
  = 567 cm

The original string was 567 cm.

                          



4)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3825 m of the track is painted grey,

how long is the entire track

Answer: 10200 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  = 3825 m
  1 unit  = 3825 m ÷ 3
    = 1275 m
Step 4:  8 units  = 8 x 1275 m
    = 10200 m

The entire track was 10200 m long.



5)  

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

how long was the original string

Answer: 328 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
205 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 205 cm
  1 unit  = 205 ÷ 5
    = 41 cm
Step 4:  8 units  = 8 x 41
    = 328 cm

The original string was 328 cm.



6)  

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 $470 for himself.

How much was his salary

Answer: $3760


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$470 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $470
Step 4:  8 units  = 8 x $470
    = $3760

 His salary was $3760.



7)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $141, how much did he have at first

Answer: $564


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$141 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $141
 1 unit = $141 ÷ 3
  = 47
Step 4: 12 units= 12 x  47
  = $564

He have $564 at first.



8)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3300 m of the track is painted grey,

how long is the entire track

Answer: 8800 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 = 3300 m
 1 unit= 3300 m ÷ 3
  = 1100 m
Step 4: 8 units = 8 x 1100 m
  = 8800 m

The entire track was 8800 m long.

                         



9)  

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 $424 for himself.

 How much was his salary

Answer: $1060


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$424 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $424
 1 unit = $424 ÷ 4
  = $106
Step 4: 10 units = 10 x $106
  = $1060

His salary was $1060.



10)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 386 apples,

how many apples did he have at first

Answer: 1158


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 386
 1 unit = 386 ÷ 2
  = 193
Step 4: 6 units = 6 x 193
  = 1158

He had 1158 apples at first.