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)  

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 $60,

how much money did he have at first

$ ___


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 255 apples,

how many apples 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 $400 for himself.

How much was his salary

$ ___


Answer:_______________




4)  

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:_______________




5)  

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 $588 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3228 m of the track is painted grey,

how long is the entire track

m


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 466 apples,

how many apples did he have at first


Answer:_______________




8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1539 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 28 stamps left, how many stamps did Joe have at first


Answer:_______________




10)  

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

how long was the original string

cm


Answer:_______________




 

1)  

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 $60,

how much money did he have at first

Answer: $120


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $60
   1 unit   = $60 ÷ 6
     = $10
 Step 2:  12 units   = 12 x $10
     = $120

He had $120 at first.

                         



2)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 255 apples,

how many apples did he have at first

Answer: 510


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 255
 1 unit = 255 ÷ 3
  = 85
Step 4: 6 units = 6 x 85
  = 510

He had 510 apples 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 $400 for himself.

How much was his salary

Answer: $3200


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$400 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $400
Step 4:  8 units  = 8 x $400
    = $3200

 His salary was $3200.



4)  

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.

                       



5)  

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 $588 for himself.

 How much was his salary

Answer: $1470


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$588 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $588
 1 unit = $588 ÷ 4
  = $147
Step 4: 10 units = 10 x $147
  = $1470

His salary was $1470.



6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3228 m of the track is painted grey,

how long is the entire track

Answer: 8608 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 = 3228 m
 1 unit= 3228 m ÷ 3
  = 1076 m
Step 4: 8 units = 8 x 1076 m
  = 8608 m

The entire track was 8608 m long.

                         



7)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 466 apples,

how many apples did he have at first

Answer: 1398


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 466
 1 unit = 466 ÷ 2
  = 233
Step 4: 6 units = 6 x 233
  = 1398

He had 1398 apples at first.



8)  

12 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 1539 m of the track is painted grey,

how long is the entire track

Answer: 12312 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  = 1539 m
  8 units = 8 x 1539 m
    = 12312 m

 The entire track was 12312 m long.



9)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 28 stamps left, how many stamps did Joe have at first

Answer: 126


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
28 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 28
 1 unit = 28 ÷ 2
  = 14
Step 4: 9 units = 9 x 14
  = 126

He have 126 stamps at first.



10)  

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

how long was the original string

Answer: 558 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
248 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 248 cm
 1 unit = 248 ÷ 4
  = 62 cm
Step 4: 9 units = 9 x 62
  = 558 cm

The original string was 558 cm.