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 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 306 apples,

how many apples did he have at first


Answer:_______________




2)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3576 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1416 m of the track is painted grey,

how long is the entire track

m


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 $270 for himself.

 How much was his salary

$ ___


Answer:_______________




5)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 56 pies,

how many pies did he bake at first


Answer:_______________




6)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 322 apples,

how many apples did he have at first


Answer:_______________




7)  

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

how long was the original string

cm


Answer:_______________




8)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3150 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $48,

how much money did he have at first

$ ___


Answer:_______________




10)  

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

how long was the original string

cm


Answer:_______________




 

1)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 306 apples,

how many apples did he have at first

Answer: 612


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 306
 1 unit = 306 ÷ 3
  = 102
Step 4: 6 units = 6 x 102
  = 612

He had 612 apples at first.



2)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3576 m of the track is painted grey,

how long is the entire track

Answer: 28608 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  = 3576 m
  8 units = 8 x 3576 m
    = 28608 m

 The entire track was 28608 m long.



3)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1416 m of the track is painted grey,

how long is the entire track

Answer: 3776 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  = 1416 m
  1 unit  = 1416 m ÷ 3
    = 472 m
Step 4:  8 units  = 8 x 472 m
    = 3776 m

The entire track was 3776 m long.



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 $270 for himself.

 How much was his salary

Answer: $720


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$270 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $270
  1 unit  = $270 ÷ 3
    = $90
Step 4:  8 units  = 8 x $90
    = $720

His salary was $720.



5)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 56 pies,

how many pies did he bake at first

Answer: 84


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
56 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 56
 1 unit = 56 ÷ 4
  = 14
Step 4: 6 units = 6 x 14
  = 84

He baked 84 pies at first.



6)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 322 apples,

how many apples did he have at first

Answer: 966


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 322
 1 unit = 322 ÷ 2
  = 161
Step 4: 6 units = 6 x 161
  = 966

He had 966 apples at first.



7)  

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

how long was the original string

Answer: 400 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
250 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 250 cm
  1 unit  = 250 ÷ 5
    = 50 cm
Step 4:  8 units  = 8 x 50
    = 400 cm

The original string was 400 cm.



8)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3150 m of the track is painted grey,

how long is the entire track

Answer: 8400 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 = 3150 m
 1 unit= 3150 m ÷ 3
  = 1050 m
Step 4: 8 units = 8 x 1050 m
  = 8400 m

The entire track was 8400 m long.

                         



9)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $48,

how much money did he have at first

Answer: $112


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $48
 1 unit = $48 ÷ 3
  = $16
Step 4: 7 units = 7 x $16
  = $112

He had $112 at first.

                       



10)  

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

how long was the original string

Answer: 720 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
320 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 320 cm
 1 unit = 320 ÷ 4
  = 80 cm
Step 4: 9 units = 9 x 80
  = 720 cm

The original string was 720 cm.