Scroll:Fraction >> Four Operations of Fractions >> 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 3864 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




2)  

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:_______________




3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $123, how much did he have 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 $84,

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 $834 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

Mr Winchester spent 110 of his salary to pay the household bills and gave 12 of his salary to his brother. In the end, he was left with $436 for himself.

 How much was his salary

$ ___


Answer:_______________




7)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $66,

how much money did he have at first

$ ___


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

how long was the original string

cm


Answer:_______________




9)  

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 344 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 3189 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 3864 m of the track is painted grey,

how long is the entire track

Answer: 10304 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 = 3864 m
 1 unit= 3864 m ÷ 3
  = 1288 m
Step 4: 8 units = 8 x 1288 m
  = 10304 m

The entire track was 10304 m long.

                         



2)  

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.



3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $123, how much did he have at first

Answer: $492


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$123 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $123
 1 unit = $123 ÷ 3
  = 41
Step 4: 12 units= 12 x  41
  = $492

He have $492 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 $84,

how much money did he have at first

Answer: $168


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $84
   1 unit   = $84 ÷ 6
     = $14
 Step 2:  12 units   = 12 x $14
     = $168

He had $168 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 $834 for himself.

 How much was his salary

Answer: $2224


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$834 left

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

                         =58

Step 2:  88 - 5 8 = 38

Step 3:  3 units  = $834
  1 unit  = $834 ÷ 3
    = $278
Step 4:  8 units  = 8 x $278
    = $2224

His salary was $2224.



6)  

Mr Winchester spent 110 of his salary to pay the household bills and gave 12 of his salary to his brother. In the end, he was left with $436 for himself.

 How much was his salary

Answer: $1090


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$436 left

 

Step 1: 110 + 1 x 52 x 5 = 110 + 510

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $436
 1 unit = $436 ÷ 4
  = $109
Step 4: 10 units = 10 x $109
  = $1090

His salary was $1090.



7)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $66,

how much money did he have at first

Answer: $154


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $66
 1 unit = $66 ÷ 3
  = $22
Step 4: 7 units = 7 x $22
  = $154

He had $154 at first.

                       



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

how long was the original string

Answer: 392 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
245 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 245 cm
  1 unit  = 245 ÷ 5
    = 49 cm
Step 4:  8 units  = 8 x 49
    = 392 cm

The original string was 392 cm.



9)  

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

how long was the original string

Answer: 774 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
344 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 344 cm
 1 unit = 344 ÷ 4
  = 86 cm
Step 4: 9 units = 9 x 86
  = 774 cm

The original string was 774 cm.

                          



10)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3189 m of the track is painted grey,

how long is the entire track

Answer: 25512 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  = 3189 m
  8 units = 8 x 3189 m
    = 25512 m

 The entire track was 25512 m long.