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 402 apples,

how many apples did he have at first


Answer:_______________




2)  

Uncle Bobby sold 13 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:_______________




3)  

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:_______________




4)  

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 $528 for himself.

 How much was his salary

$ ___


Answer:_______________




5)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3213 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3330 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 351 m of the track is painted grey,

how long is the entire track

m


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

how long was the original string

cm


Answer:_______________




9)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 40 pies,

how many pies did he bake at first


Answer:_______________




10)  

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:_______________




 

1)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 402 apples,

how many apples did he have at first

Answer: 1206


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 402
 1 unit = 402 ÷ 2
  = 201
Step 4: 6 units = 6 x 201
  = 1206

He had 1206 apples at first.



2)  

Uncle Bobby sold 13 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: 540


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 270
 1 unit = 270 ÷ 3
  = 90
Step 4: 6 units = 6 x 90
  = 540

He had 540 apples at first.



3)  

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.

                         



4)  

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 $528 for himself.

 How much was his salary

Answer: $1408


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$528 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $528
  1 unit  = $528 ÷ 3
    = $176
Step 4:  8 units  = 8 x $176
    = $1408

His salary was $1408.



5)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3213 m of the track is painted grey,

how long is the entire track

Answer: 8568 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 = 3213 m
 1 unit= 3213 m ÷ 3
  = 1071 m
Step 4: 8 units = 8 x 1071 m
  = 8568 m

The entire track was 8568 m long.

                         



6)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3330 m of the track is painted grey,

how long is the entire track

Answer: 6660 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  = 3330 m
  1 unit  = 3330 m ÷ 3
    = 1110 m
Step 4:  6 units  = 6 x 1110 m
    = 6660 m

The entire track was 6660 m long.



7)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 351 m of the track is painted grey,

how long is the entire track

Answer: 2808 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  = 351 m
  8 units = 8 x 351 m
    = 2808 m

 The entire track was 2808 m long.



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

how long was the original string

Answer: 207 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
92 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 92 cm
 1 unit = 92 ÷ 4
  = 23 cm
Step 4: 9 units = 9 x 23
  = 207 cm

The original string was 207 cm.

                          



9)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 40 pies,

how many pies did he bake at first

Answer: 60


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
40 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 40
 1 unit = 40 ÷ 4
  = 10
Step 4: 6 units = 6 x 10
  = 60

He baked 60 pies at first.



10)  

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.