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)  

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 $500 for himself.

How much was his salary

$ ___


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 432 apples,

how many apples did he have at first


Answer:_______________




3)  

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

how long was the original string

cm


Answer:_______________




4)  

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

how long was the original string

cm


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 $480 for himself.

 How much was his salary

$ ___


Answer:_______________




6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3432 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

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:_______________




8)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3822 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 3201 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




10)  

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:_______________




 

1)  

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 $500 for himself.

How much was his salary

Answer: $4000


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$500 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $500
Step 4:  8 units  = 8 x $500
    = $4000

 His salary was $4000.



2)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 432 apples,

how many apples did he have at first

Answer: 864


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 432
 1 unit = 432 ÷ 3
  = 144
Step 4: 6 units = 6 x 144
  = 864

He had 864 apples at first.



3)  

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

how long was the original string

Answer: 440 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
275 cm left

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

                           = 38

Step 2: 88 - 38 = 58

Step 3:  5 units  = 275 cm
  1 unit  = 275 ÷ 5
    = 55 cm
Step 4:  8 units  = 8 x 55
    = 440 cm

The original string was 440 cm.



4)  

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

how long was the original string

Answer: 522 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
232 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 232 cm
 1 unit = 232 ÷ 4
  = 58 cm
Step 4: 9 units = 9 x 58
  = 522 cm

The original string was 522 cm.

                          



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 $480 for himself.

 How much was his salary

Answer: $1200


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$480 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $480
 1 unit = $480 ÷ 4
  = $120
Step 4: 10 units = 10 x $120
  = $1200

His salary was $1200.



6)  

12 of a running track is painted red. 18 of the track is painted yellow. Given that the remaining 3432 m of the track is painted grey,

how long is the entire track

Answer: 9152 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  = 3432 m
  1 unit  = 3432 m ÷ 3
    = 1144 m
Step 4:  8 units  = 8 x 1144 m
    = 9152 m

The entire track was 9152 m long.



7)  

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.



8)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 3822 m of the track is painted grey,

how long is the entire track

Answer: 7644 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  = 3822 m
  1 unit  = 3822 m ÷ 3
    = 1274 m
Step 4:  6 units  = 6 x 1274 m
    = 7644 m

The entire track was 7644 m long.



9)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 3201 m of the track is painted grey,

how long is the entire track

Answer: 8536 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 = 3201 m
 1 unit= 3201 m ÷ 3
  = 1067 m
Step 4: 8 units = 8 x 1067 m
  = 8536 m

The entire track was 8536 m long.

                         



10)  

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.