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)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1650 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 $45,

how much money did he have at first

$ ___


Answer:_______________




3)  

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 $520 for himself.

How much was his salary

$ ___


Answer:_______________




4)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 1515 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




5)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $111, how much did he have at first

$ ___


Answer:_______________




6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 16 stamps left, how many stamps did Joe have at first


Answer:_______________




7)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 92 apples,

how many apples did he have at first


Answer:_______________




8)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 60 pies,

how many pies did he bake at first


Answer:_______________




9)  

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

how long was the original string

cm


Answer:_______________




10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3089 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1650 m of the track is painted grey,

how long is the entire track

Answer: 4400 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 = 1650 m
 1 unit= 1650 m ÷ 3
  = 550 m
Step 4: 8 units = 8 x 550 m
  = 4400 m

The entire track was 4400 m long.

                         



2)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $45,

how much money did he have at first

Answer: $105


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $45
 1 unit = $45 ÷ 3
  = $15
Step 4: 7 units = 7 x $15
  = $105

He had $105 at first.

                       



3)  

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 $520 for himself.

How much was his salary

Answer: $4160


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$520 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $520
Step 4:  8 units  = 8 x $520
    = $4160

 His salary was $4160.



4)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 1515 m of the track is painted grey,

how long is the entire track

Answer: 3030 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  = 1515 m
  1 unit  = 1515 m ÷ 3
    = 505 m
Step 4:  6 units  = 6 x 505 m
    = 3030 m

The entire track was 3030 m long.



5)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $111, how much did he have at first

Answer: $444


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$111 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $111
 1 unit = $111 ÷ 3
  = 37
Step 4: 12 units= 12 x  37
  = $444

He have $444 at first.



6)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 16 stamps left, how many stamps did Joe have at first

Answer: 72


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
16 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 16
 1 unit = 16 ÷ 2
  = 8
Step 4: 9 units = 9 x 8
  = 72

He have 72 stamps at first.



7)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 92 apples,

how many apples did he have at first

Answer: 276


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 92
 1 unit = 92 ÷ 2
  = 46
Step 4: 6 units = 6 x 46
  = 276

He had 276 apples at first.



8)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 60 pies,

how many pies did he bake at first

Answer: 90


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
60 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 60
 1 unit = 60 ÷ 4
  = 15
Step 4: 6 units = 6 x 15
  = 90

He baked 90 pies at first.



9)  

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

how long was the original string

Answer: 568 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
355 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 355 cm
  1 unit  = 355 ÷ 5
    = 71 cm
Step 4:  8 units  = 8 x 71
    = 568 cm

The original string was 568 cm.



10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3089 m of the track is painted grey,

how long is the entire track

Answer: 24712 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  = 3089 m
  8 units = 8 x 3089 m
    = 24712 m

 The entire track was 24712 m long.