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)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3417 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




2)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $66,

how much money 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 25 cm of the string after tying the present and making the decorations,

how long was the original string

cm


Answer:_______________




4)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 66 stamps left, how many stamps did Joe have at first


Answer:_______________




5)  

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 $66,

how much money did he have at first

$ ___


Answer:_______________




6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3891 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

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 $696 for himself.

 How much was his salary

$ ___


Answer:_______________




8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3081 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

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

how long was the original string

cm


Answer:_______________




10)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 36 apples,

how many apples did he have at first


Answer:_______________




 

1)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3417 m of the track is painted grey,

how long is the entire track

Answer: 6834 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  = 3417 m
  1 unit  = 3417 m ÷ 3
    = 1139 m
Step 4:  6 units  = 6 x 1139 m
    = 6834 m

The entire track was 6834 m long.



2)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $66,

how much money did he have at first

Answer: $154


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $66
 1 unit = $66 ÷ 3
  = $22
Step 4: 7 units = 7 x $22
  = $154

He had $154 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 25 cm of the string after tying the present and making the decorations,

how long was the original string

Answer: 40 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
25 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 25 cm
  1 unit  = 25 ÷ 5
    = 5 cm
Step 4:  8 units  = 8 x 5
    = 40 cm

The original string was 40 cm.



4)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 66 stamps left, how many stamps did Joe have at first

Answer: 297


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
66 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 66
 1 unit = 66 ÷ 2
  = 33
Step 4: 9 units = 9 x 33
  = 297

He have 297 stamps at first.



5)  

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 $66,

how much money did he have at first

Answer: $132


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $66
   1 unit   = $66 ÷ 6
     = $11
 Step 2:  12 units   = 12 x $11
     = $132

He had $132 at first.

                         



6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3891 m of the track is painted grey,

how long is the entire track

Answer: 10376 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  = 3891 m
  1 unit  = 3891 m ÷ 3
    = 1297 m
Step 4:  8 units  = 8 x 1297 m
    = 10376 m

The entire track was 10376 m long.



7)  

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 $696 for himself.

 How much was his salary

Answer: $1740


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$696 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $696
 1 unit = $696 ÷ 4
  = $174
Step 4: 10 units = 10 x $174
  = $1740

His salary was $1740.



8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3081 m of the track is painted grey,

how long is the entire track

Answer: 24648 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  = 3081 m
  8 units = 8 x 3081 m
    = 24648 m

 The entire track was 24648 m long.



9)  

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

how long was the original string

Answer: 846 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
376 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 376 cm
 1 unit = 376 ÷ 4
  = 94 cm
Step 4: 9 units = 9 x 94
  = 846 cm

The original string was 846 cm.

                          



10)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 36 apples,

how many apples did he have at first

Answer: 72


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 36
 1 unit = 36 ÷ 3
  = 12
Step 4: 6 units = 6 x 12
  = 72

He had 72 apples at first.