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)  

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

how long was the original string

cm


Answer:_______________




2)  

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 $468 for himself.

 How much was his salary

$ ___


Answer:_______________




3)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 428 apples,

how many apples did he have at first


Answer:_______________




4)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 502 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




5)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3729 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 174 apples,

how many apples did he have at first


Answer:_______________




7)  

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 $690 for himself.

How much was his salary

$ ___


Answer:_______________




8)  

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

how long was the original string

cm


Answer:_______________




9)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $84,

how much money did he have at first

$ ___


Answer:_______________




10)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1215 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

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

how long was the original string

Answer: 472 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
295 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 295 cm
  1 unit  = 295 ÷ 5
    = 59 cm
Step 4:  8 units  = 8 x 59
    = 472 cm

The original string was 472 cm.



2)  

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 $468 for himself.

 How much was his salary

Answer: $1170


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$468 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $468
 1 unit = $468 ÷ 4
  = $117
Step 4: 10 units = 10 x $117
  = $1170

His salary was $1170.



3)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 428 apples,

how many apples did he have at first

Answer: 1284


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 428
 1 unit = 428 ÷ 2
  = 214
Step 4: 6 units = 6 x 214
  = 1284

He had 1284 apples at first.



4)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 502 m of the track is painted grey,

how long is the entire track

Answer: 4016 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  = 502 m
  8 units = 8 x 502 m
    = 4016 m

 The entire track was 4016 m long.



5)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3729 m of the track is painted grey,

how long is the entire track

Answer: 9944 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  = 3729 m
  1 unit  = 3729 m ÷ 3
    = 1243 m
Step 4:  8 units  = 8 x 1243 m
    = 9944 m

The entire track was 9944 m long.



6)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 174 apples,

how many apples did he have at first

Answer: 348


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 174
 1 unit = 174 ÷ 3
  = 58
Step 4: 6 units = 6 x 58
  = 348

He had 348 apples at first.



7)  

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 $690 for himself.

How much was his salary

Answer: $5520


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$690 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $690
Step 4:  8 units  = 8 x $690
    = $5520

 His salary was $5520.



8)  

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

how long was the original string

Answer: 360 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
160 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 160 cm
 1 unit = 160 ÷ 4
  = 40 cm
Step 4: 9 units = 9 x 40
  = 360 cm

The original string was 360 cm.

                          



9)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $84,

how much money did he have at first

Answer: $196


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $84
 1 unit = $84 ÷ 3
  = $28
Step 4: 7 units = 7 x $28
  = $196

He had $196 at first.

                       



10)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1215 m of the track is painted grey,

how long is the entire track

Answer: 3240 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 = 1215 m
 1 unit= 1215 m ÷ 3
  = 405 m
Step 4: 8 units = 8 x 405 m
  = 3240 m

The entire track was 3240 m long.