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)  

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

how long was the original string

cm


Answer:_______________




2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $174, how much did he have at first

$ ___


Answer:_______________




3)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3696 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $30,

how much money did he have at first

$ ___


Answer:_______________




5)  

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 $72,

how much money did he have at first

$ ___


Answer:_______________




6)  

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 $630 for himself.

How much was his salary

$ ___


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

how long was the original string

cm


Answer:_______________




8)  

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 $168 for himself.

 How much was his salary

$ ___


Answer:_______________




9)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 681 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




10)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 128 pies,

how many pies did he bake at first


Answer:_______________




 

1)  

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

how long was the original string

Answer: 855 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
380 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 380 cm
 1 unit = 380 ÷ 4
  = 95 cm
Step 4: 9 units = 9 x 95
  = 855 cm

The original string was 855 cm.

                          



2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $174, how much did he have at first

Answer: $696


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$174 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $174
 1 unit = $174 ÷ 3
  = 58
Step 4: 12 units= 12 x  58
  = $696

He have $696 at first.



3)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3696 m of the track is painted grey,

how long is the entire track

Answer: 9856 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 = 3696 m
 1 unit= 3696 m ÷ 3
  = 1232 m
Step 4: 8 units = 8 x 1232 m
  = 9856 m

The entire track was 9856 m long.

                         



4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $30,

how much money did he have at first

Answer: $70


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $30
 1 unit = $30 ÷ 3
  = $10
Step 4: 7 units = 7 x $10
  = $70

He had $70 at first.

                       



5)  

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 $72,

how much money did he have at first

Answer: $144


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $72
   1 unit   = $72 ÷ 6
     = $12
 Step 2:  12 units   = 12 x $12
     = $144

He had $144 at first.

                         



6)  

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 $630 for himself.

How much was his salary

Answer: $5040


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$630 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $630
Step 4:  8 units  = 8 x $630
    = $5040

 His salary was $5040.



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

how long was the original string

Answer: 200 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
125 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 125 cm
  1 unit  = 125 ÷ 5
    = 25 cm
Step 4:  8 units  = 8 x 25
    = 200 cm

The original string was 200 cm.



8)  

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 $168 for himself.

 How much was his salary

Answer: $448


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$168 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $168
  1 unit  = $168 ÷ 3
    = $56
Step 4:  8 units  = 8 x $56
    = $448

His salary was $448.



9)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 681 m of the track is painted grey,

how long is the entire track

Answer: 1816 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  = 681 m
  1 unit  = 681 m ÷ 3
    = 227 m
Step 4:  8 units  = 8 x 227 m
    = 1816 m

The entire track was 1816 m long.



10)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 128 pies,

how many pies did he bake at first

Answer: 192


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
128 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 128
 1 unit = 128 ÷ 4
  = 32
Step 4: 6 units = 6 x 32
  = 192

He baked 192 pies at first.