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)  

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

how long was the original string

cm


Answer:_______________




2)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 120 pies,

how many pies did he bake at first


Answer:_______________




3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $18, how much did he have at first

$ ___


Answer:_______________




4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $69,

how much money did he have at first

$ ___


Answer:_______________




5)  

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 $96,

how much money did he have at first

$ ___


Answer:_______________




6)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 470 apples,

how many apples did he have at first


Answer:_______________




7)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 18 stamps left, how many stamps did Joe have at first


Answer:_______________




8)  

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 $560 for himself.

How much was his salary

$ ___


Answer:_______________




9)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 396 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




10)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 1245 m of the track is painted grey,

how long is the entire track

m


Answer:_______________




 

1)  

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

how long was the original string

Answer: 189 cm


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Present
 
 
Deco
 
 
84 cm left

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

                             = 59

Step 2: 99 - 59 = 49

Step 3: 4 units = 84 cm
 1 unit = 84 ÷ 4
  = 21 cm
Step 4: 9 units = 9 x 21
  = 189 cm

The original string was 189 cm.

                          



2)  

Mr Samad gave 16 of the pies he baked to his neighbour and 16 to his aunt. If he was left with 120 pies,

how many pies did he bake at first

Answer: 180


SOLUTION 1 :
 
 
 
 
 
 
 
 
Neighbour
 
 
Aunt
 
 
120 left

Step 1:  16 + 16 = 26 

Step 2:  66 - 26 = 46

Step 3: 4 units = 120
 1 unit = 120 ÷ 4
  = 30
Step 4: 6 units = 6 x 30
  = 180

He baked 180 pies at first.



3)  

Nicholas spent 13 of his salary on food and 512 on transport. If he is left with $18, how much did he have at first

Answer: $72


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Food
 
 
Transport
 
 
$18 left

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

                              = 912

Step 2: 1212 - 912 = 312

Step 3: 3 units = $18
 1 unit = $18 ÷ 3
  = 6
Step 4: 12 units= 12 x  6
  = $72

He have $72 at first.



4)  

Haru spent 17 of his money on goggles and 37 of his money on swimwear. If he was left with $69,

how much money did he have at first

Answer: $161


SOLUTION 1 :
 
 
 
 
 
 
 
 
 

Goggles

 
 
Swimsuit
 
 
Left

Step 1: 17 + 37 = 47

Step 2: 77 - 47 = 37

Step 3: 3 units =  $69
 1 unit = $69 ÷ 3
  = $23
Step 4: 7 units = 7 x $23
  = $161

He had $161 at first.

                       



5)  

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 $96,

how much money did he have at first

Answer: $192


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 

*

 
 
Glasses
 
 
Left

* = Swimsuit

 Step 1:   6 units   = $96
   1 unit   = $96 ÷ 6
     = $16
 Step 2:  12 units   = 12 x $16
     = $192

He had $192 at first.

                         



6)  

Uncle Bobby sold 12 of his apples in the morning and 16 of them in the afternoon. Given that he was left with 470 apples,

how many apples did he have at first

Answer: 1410


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

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

                       = 46

Step 2: 66 - 46 = 26

Step 3: 2 units = 470
 1 unit = 470 ÷ 2
  = 235
Step 4: 6 units = 6 x 235
  = 1410

He had 1410 apples at first.



7)  

Joe gave 13 of his stamps to his sibling and 49 of them to some friends.
If Joe had 18 stamps left, how many stamps did Joe have at first

Answer: 81


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
Sibling
 
 
Friends
 
 
18 left

Step 1: 1 x 33 x 3 + 49 = 39 + 49

                            = 79

Step 2: 99 - 79 = 29

Step 3: 2 units = 18
 1 unit = 18 ÷ 2
  = 9
Step 4: 9 units = 9 x 9
  = 81

He have 81 stamps at first.



8)  

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 $560 for himself.

How much was his salary

Answer: $4480


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
Bills
 
 
Brother
 
 
$560 left

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

                        = 78

Step 2: 88 - 78 = 18

Step 3:  1 unit  = $560
Step 4:  8 units  = 8 x $560
    = $4480

 His salary was $4480.



9)  

14 of a running track is painted red. 38 of the track is painted yellow. Given that the remaining 396 m of the track is painted grey,

how long is the entire track

Answer: 1056 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 = 396 m
 1 unit= 396 m ÷ 3
  = 132 m
Step 4: 8 units = 8 x 132 m
  = 1056 m

The entire track was 1056 m long.

                         



10)  

13 of a running track is painted red. 16 of the track is painted yellow. Given that the remaining 1245 m of the track is painted grey,

how long is the entire track

Answer: 2490 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  = 1245 m
  1 unit  = 1245 m ÷ 3
    = 415 m
Step 4:  6 units  = 6 x 415 m
    = 2490 m

The entire track was 2490 m long.