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)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1138 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




2)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2574 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 483 apples,

how many apples did he have at first


Answer:_______________




4)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 130 apples,

how many apples did he have at first


Answer:_______________




5)  

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 $660 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 10 stamps left, how many stamps did Joe have at first


Answer:_______________




7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1887 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




8)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $105, how much did he have at first

$ ___


Answer:_______________




9)  

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 $640 for himself.

How much was his salary

$ ___


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

how long was the original string

cm


Answer:_______________




 

1)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1138 m of the track is painted grey,

how long is the entire track

Answer: 9104 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  = 1138 m
  8 units = 8 x 1138 m
    = 9104 m

 The entire track was 9104 m long.



2)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2574 m of the track is painted grey,

how long is the entire track

Answer: 6864 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 = 2574 m
 1 unit= 2574 m ÷ 3
  = 858 m
Step 4: 8 units = 8 x 858 m
  = 6864 m

The entire track was 6864 m long.

                         



3)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 483 apples,

how many apples did he have at first

Answer: 966


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 483
 1 unit = 483 ÷ 3
  = 161
Step 4: 6 units = 6 x 161
  = 966

He had 966 apples at first.



4)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 130 apples,

how many apples did he have at first

Answer: 390


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 130
 1 unit = 130 ÷ 2
  = 65
Step 4: 6 units = 6 x 65
  = 390

He had 390 apples at first.



5)  

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 $660 for himself.

 How much was his salary

Answer: $1760


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$660 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $660
  1 unit  = $660 ÷ 3
    = $220
Step 4:  8 units  = 8 x $220
    = $1760

His salary was $1760.



6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 10 stamps left, how many stamps did Joe have at first

Answer: 45


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
10 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 10
 1 unit = 10 ÷ 2
  = 5
Step 4: 9 units = 9 x 5
  = 45

He have 45 stamps at first.



7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 1887 m of the track is painted grey,

how long is the entire track

Answer: 5032 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  = 1887 m
  1 unit  = 1887 m ÷ 3
    = 629 m
Step 4:  8 units  = 8 x 629 m
    = 5032 m

The entire track was 5032 m long.



8)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $105, how much did he have at first

Answer: $420


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$105 left

Step 1: 1 x 43 x 4 + 512412 + 512

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $105
 1 unit = $105 ÷ 3
  = 35
Step 4: 12 units= 12 x  35
  = $420

He have $420 at first.



9)  

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 $640 for himself.

How much was his salary

Answer: $5120


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$640 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $640
Step 4:  8 units  = 8 x $640
    = $5120

 His salary was $5120.



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

how long was the original string

Answer: 459 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
204 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 204 cm
 1 unit = 204 ÷ 4
  = 51 cm
Step 4: 9 units = 9 x 51
  = 459 cm

The original string was 459 cm.