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 51 apples,

how many apples did he have at first


Answer:_______________




2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $138, how much did he have at first

$ ___


Answer:_______________




3)  

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:_______________




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 $90,

how much money did he have at first

$ ___


Answer:_______________




5)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 894 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




6)  

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:_______________




7)  

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

how long was the original string

cm


Answer:_______________




8)  

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

how long was the original string

cm


Answer:_______________




9)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 482 apples,

how many apples did he have at first


Answer:_______________




10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2130 m of the track is painted grey,

how long is the entire track

m


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 51 apples,

how many apples did he have at first

Answer: 102


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 51
 1 unit = 51 ÷ 3
  = 17
Step 4: 6 units = 6 x 17
  = 102

He had 102 apples at first.



2)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $138, how much did he have at first

Answer: $552


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$138 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $138
 1 unit = $138 ÷ 3
  = 46
Step 4: 12 units= 12 x  46
  = $552

He have $552 at first.



3)  

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.



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 $90,

how much money did he have at first

Answer: $180


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $90
   1 unit   = $90 ÷ 6
     = $15
 Step 2:  12 units   = 12 x $15
     = $180

He had $180 at first.

                         



5)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 894 m of the track is painted grey,

how long is the entire track

Answer: 1788 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  = 894 m
  1 unit  = 894 m ÷ 3
    = 298 m
Step 4:  6 units  = 6 x 298 m
    = 1788 m

The entire track was 1788 m long.



6)  

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.

                       



7)  

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

how long was the original string

Answer: 360 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
160 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 160 cm
 1 unit = 160 ÷ 4
  = 40 cm
Step 4: 9 units = 9 x 40
  = 360 cm

The original string was 360 cm.

                          



8)  

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

how long was the original string

Answer: 488 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
305 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 305 cm
  1 unit  = 305 ÷ 5
    = 61 cm
Step 4:  8 units  = 8 x 61
    = 488 cm

The original string was 488 cm.



9)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 482 apples,

how many apples did he have at first

Answer: 1446


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 482
 1 unit = 482 ÷ 2
  = 241
Step 4: 6 units = 6 x 241
  = 1446

He had 1446 apples at first.



10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 2130 m of the track is painted grey,

how long is the entire track

Answer: 17040 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  = 2130 m
  8 units = 8 x 2130 m
    = 17040 m

 The entire track was 17040 m long.