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)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 270 apples,

how many apples did he have at first


Answer:_______________




2)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2793 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 80 pies,

how many pies did he bake at first


Answer:_______________




4)  

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:_______________




5)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1656 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1179 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 $676 for himself.

 How much was his salary

$ ___


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 $610 for himself.

How much was his salary

$ ___


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

how long was the original string

cm


Answer:_______________




10)  

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

how long was the original string

cm


Answer:_______________




 

1)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 270 apples,

how many apples did he have at first

Answer: 810


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 270
 1 unit = 270 ÷ 2
  = 135
Step 4: 6 units = 6 x 135
  = 810

He had 810 apples at first.



2)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2793 m of the track is painted grey,

how long is the entire track

Answer: 7448 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 = 2793 m
 1 unit= 2793 m ÷ 3
  = 931 m
Step 4: 8 units = 8 x 931 m
  = 7448 m

The entire track was 7448 m long.

                         



3)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 80 pies,

how many pies did he bake at first

Answer: 120


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
80 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 80
 1 unit = 80 ÷ 4
  = 20
Step 4: 6 units = 6 x 20
  = 120

He baked 120 pies at first.



4)  

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.

                         



5)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1656 m of the track is painted grey,

how long is the entire track

Answer: 13248 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  = 1656 m
  8 units = 8 x 1656 m
    = 13248 m

 The entire track was 13248 m long.



6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1179 m of the track is painted grey,

how long is the entire track

Answer: 3144 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  = 1179 m
  1 unit  = 1179 m ÷ 3
    = 393 m
Step 4:  8 units  = 8 x 393 m
    = 3144 m

The entire track was 3144 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 $676 for himself.

 How much was his salary

Answer: $1690


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$676 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $676
 1 unit = $676 ÷ 4
  = $169
Step 4: 10 units = 10 x $169
  = $1690

His salary was $1690.



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 $610 for himself.

How much was his salary

Answer: $4880


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$610 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $610
Step 4:  8 units  = 8 x $610
    = $4880

 His salary was $4880.



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

how long was the original string

Answer: 63 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
28 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 28 cm
 1 unit = 28 ÷ 4
  = 7 cm
Step 4: 9 units = 9 x 7
  = 63 cm

The original string was 63 cm.

                          



10)  

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

how long was the original string

Answer: 112 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
70 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 70 cm
  1 unit  = 70 ÷ 5
    = 14 cm
Step 4:  8 units  = 8 x 14
    = 112 cm

The original string was 112 cm.