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)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $90,

how much money did he have at first

$ ___


Answer:_______________




2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $90, how much 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 $690 for himself.

How much was his salary

$ ___


Answer:_______________




4)  

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 $54,

how much money 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 $132 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 477 apples,

how many apples did he have at first


Answer:_______________




7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 462 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 641 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1287 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 72 pies,

how many pies did he bake at first


Answer:_______________




 

1)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $90,

how much money did he have at first

Answer: $210


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $90
 1 unit = $90 ÷ 3
  = $30
Step 4: 7 units = 7 x $30
  = $210

He had $210 at first.

                       



2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $90, how much did he have at first

Answer: $360


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$90 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $90
 1 unit = $90 ÷ 3
  = 30
Step 4: 12 units= 12 x  30
  = $360

He have $360 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 $690 for himself.

How much was his salary

Answer: $5520


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$690 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $690
Step 4:  8 units  = 8 x $690
    = $5520

 His salary was $5520.



4)  

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 $54,

how much money did he have at first

Answer: $108


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $54
   1 unit   = $54 ÷ 6
     = $9
 Step 2:  12 units   = 12 x $9
     = $108

He had $108 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 $132 for himself.

 How much was his salary

Answer: $352


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$132 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $132
  1 unit  = $132 ÷ 3
    = $44
Step 4:  8 units  = 8 x $44
    = $352

His salary was $352.



6)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 477 apples,

how many apples did he have at first

Answer: 954


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 477
 1 unit = 477 ÷ 3
  = 159
Step 4: 6 units = 6 x 159
  = 954

He had 954 apples at first.



7)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 462 m of the track is painted grey,

how long is the entire track

Answer: 1232 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  = 462 m
  1 unit  = 462 m ÷ 3
    = 154 m
Step 4:  8 units  = 8 x 154 m
    = 1232 m

The entire track was 1232 m long.



8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 641 m of the track is painted grey,

how long is the entire track

Answer: 5128 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  = 641 m
  8 units = 8 x 641 m
    = 5128 m

 The entire track was 5128 m long.



9)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1287 m of the track is painted grey,

how long is the entire track

Answer: 3432 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 = 1287 m
 1 unit= 1287 m ÷ 3
  = 429 m
Step 4: 8 units = 8 x 429 m
  = 3432 m

The entire track was 3432 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 72 pies,

how many pies did he bake at first

Answer: 108


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
72 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 72
 1 unit = 72 ÷ 4
  = 18
Step 4: 6 units = 6 x 18
  = 108

He baked 108 pies at first.