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)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $72, how much did he have at first

$ ___


Answer:_______________




2)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2214 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




3)  

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 $540 for himself.

 How much was his salary

$ ___


Answer:_______________




4)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 422 apples,

how many apples did he have at first


Answer:_______________




5)  

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

how long was the original string

cm


Answer:_______________




6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 879 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




7)  

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:_______________




8)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 420 apples,

how many apples did he have at first


Answer:_______________




9)  

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 $420 for himself.

How much was his salary

$ ___


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)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $72, how much did he have at first

Answer: $288


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$72 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $72
 1 unit = $72 ÷ 3
  = 24
Step 4: 12 units= 12 x  24
  = $288

He have $288 at first.



2)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 2214 m of the track is painted grey,

how long is the entire track

Answer: 4428 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  = 2214 m
  1 unit  = 2214 m ÷ 3
    = 738 m
Step 4:  6 units  = 6 x 738 m
    = 4428 m

The entire track was 4428 m long.



3)  

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 $540 for himself.

 How much was his salary

Answer: $1350


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$540 left

 

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

                              = 610

Step 2: 1010 - 610 = 410

Step 3: 4 units = $540
 1 unit = $540 ÷ 4
  = $135
Step 4: 10 units = 10 x $135
  = $1350

His salary was $1350.



4)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 422 apples,

how many apples did he have at first

Answer: 1266


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 422
 1 unit = 422 ÷ 2
  = 211
Step 4: 6 units = 6 x 211
  = 1266

He had 1266 apples at first.



5)  

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

how long was the original string

Answer: 837 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
372 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 372 cm
 1 unit = 372 ÷ 4
  = 93 cm
Step 4: 9 units = 9 x 93
  = 837 cm

The original string was 837 cm.

                          



6)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 879 m of the track is painted grey,

how long is the entire track

Answer: 2344 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 = 879 m
 1 unit= 879 m ÷ 3
  = 293 m
Step 4: 8 units = 8 x 293 m
  = 2344 m

The entire track was 2344 m long.

                         



7)  

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.

                       



8)  

Uncle Bobby sold 13 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 420 apples,

how many apples did he have at first

Answer: 840


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

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

                        = 36

Step 2: 66 - 36 = 36

Step 3: 3 units = 420
 1 unit = 420 ÷ 3
  = 140
Step 4: 6 units = 6 x 140
  = 840

He had 840 apples at first.



9)  

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 $420 for himself.

How much was his salary

Answer: $3360


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$420 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $420
Step 4:  8 units  = 8 x $420
    = $3360

 His salary was $3360.



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.