Scroll:Fractions >> Model Approach >> ps (3081)


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)  

There are 810 fences to be painted in five days. 210 fences are painted in the first three days. On the fourth day, 13 of the remaining fences are painted. The rest are painted on the fifth day. How many fences were painted on the fifth day


Answer:_______________




2)  

Naegi has $45 to be distributed among his three siblings. He gives $15 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

$ ___


Answer:_______________




3)  

Apple wants to update 805 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 427 phones. On the 2nd day, they managed to update 27 of the remaining iPhones. How many more iPhones have to be updated on the 3rd day 


Answer:_______________




4)  

A family had 45 cupcakes. They ate 25 of them on Monday. On Tuesday, they ate 25 of the remainder. They gave away the rest of the cupcakes. How many cupcakes did they give away


Answer:_______________




5)  

Chester sold 770 toy guns in 3 days. He sold 91 toy guns on the first day. On the second day, he sold 37 of the remaining toy guns. How many toy guns did he sell on the third day


Answer:_______________




6)  

There are 660 fences to be painted in five days. 180 fences are painted in the first three days. On the fourth day, 13 of the remaining fences are painted. The rest are painted on the fifth day. How many fences were painted on the fifth day


Answer:_______________




7)  

Naegi has $36 to be distributed among his three siblings. He gives $12 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

$ ___


Answer:_______________




8)  

Apple wants to update 602 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 392 phones. On the 2nd day, they managed to update 27 of the remaining iPhones. How many more iPhones have to be updated on the 3rd day 


Answer:_______________




9)  

A family had 40 cupcakes. They ate 15 of them on Monday. On Tuesday, they ate 25 of the remainder. They gave away the rest of the cupcakes. How many cupcakes did they give away


Answer:_______________




10)  

Chester sold 819 toy guns in 3 days. He sold 154 toy guns on the first day. On the second day, he sold 37 of the remaining toy guns. How many toy guns did he sell on the third day


Answer:_______________




 

1)  

There are 810 fences to be painted in five days. 210 fences are painted in the first three days. On the fourth day, 13 of the remaining fences are painted. The rest are painted on the fifth day. How many fences were painted on the fifth day

Answer: 400


SOLUTION 1 :
810
 
 
 
 
 
 
 
 
Remainder
 
 
210 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 810 - 210 = 600

Step 2: 3 units = 600

             1 unit = 600 ÷ 3

                       = 200

Step 3: 33 - 13 = 23

Step 4: 2 units = 200 x 2 

                        = 400

400 fences were painted on the fifth day.



2)  

Naegi has $45 to be distributed among his three siblings. He gives $15 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $10


SOLUTION 1 :
45
 
 
 
 
 
 
 
 
Remainder
 
 
15 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 45 - 15 = 30

Step 2: 3 units = 30

             1 unit = 30 ÷ 3

                       = 10

Step 3: 33 - 23 = 13

Step 4: 1 unit = 10 x 1 

                      = 10

Komaeda received $10.



3)  

Apple wants to update 805 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 427 phones. On the 2nd day, they managed to update 27 of the remaining iPhones. How many more iPhones have to be updated on the 3rd day 

Answer: 270


SOLUTION 1 :
805
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
427 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 805 - 427 = 378

Step 2: 7 units = 378

             1 unit = 378 ÷ 7

                       = 54

Step 3: 77 - 27 = 57

Step 4: 5 units = 54 x 5 

                        = 270

270 more iPhones have to be updated on the 3rd day.



4)  

A family had 45 cupcakes. They ate 25 of them on Monday. On Tuesday, they ate 25 of the remainder. They gave away the rest of the cupcakes. How many cupcakes did they give away

Answer: 12


SOLUTION 1 :
45
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
25 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 45 - 25 = 20

Step 2: 5 units = 20

             1 unit = 20 ÷ 5

                       = 4

Step 3: 55 - 25 = 35

Step 4: 3 units = 4 x 3

                        = 12

They gave away 12 cupcakes.



5)  

Chester sold 770 toy guns in 3 days. He sold 91 toy guns on the first day. On the second day, he sold 37 of the remaining toy guns. How many toy guns did he sell on the third day

Answer: 388


SOLUTION 1 :
770
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
91 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 770 - 91 = 679

Step 2: 7 units = 679

             1 unit = 679 ÷ 7

                       = 97

Step 3: 77 - 37 = 47

Step 4: 4 units = 97 x 4 

                        = 388

He sold 388 toy guns on the third day.



6)  

There are 660 fences to be painted in five days. 180 fences are painted in the first three days. On the fourth day, 13 of the remaining fences are painted. The rest are painted on the fifth day. How many fences were painted on the fifth day

Answer: 320


SOLUTION 1 :
660
 
 
 
 
 
 
 
 
Remainder
 
 
180 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 660 - 180 = 480

Step 2: 3 units = 480

             1 unit = 480 ÷ 3

                       = 160

Step 3: 33 - 13 = 23

Step 4: 2 units = 160 x 2 

                        = 320

320 fences were painted on the fifth day.



7)  

Naegi has $36 to be distributed among his three siblings. He gives $12 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $8


SOLUTION 1 :
36
 
 
 
 
 
 
 
 
Remainder
 
 
12 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 36 - 12 = 24

Step 2: 3 units = 24

             1 unit = 24 ÷ 3

                       = 8

Step 3: 33 - 23 = 13

Step 4: 1 unit = 8 x 1 

                      = 8

Komaeda received $8.



8)  

Apple wants to update 602 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 392 phones. On the 2nd day, they managed to update 27 of the remaining iPhones. How many more iPhones have to be updated on the 3rd day 

Answer: 150


SOLUTION 1 :
602
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
392 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 602 - 392 = 210

Step 2: 7 units = 210

             1 unit = 210 ÷ 7

                       = 30

Step 3: 77 - 27 = 57

Step 4: 5 units = 30 x 5 

                        = 150

150 more iPhones have to be updated on the 3rd day.



9)  

A family had 40 cupcakes. They ate 15 of them on Monday. On Tuesday, they ate 25 of the remainder. They gave away the rest of the cupcakes. How many cupcakes did they give away

Answer: 15


SOLUTION 1 :
40
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
15 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 40 - 15 = 25

Step 2: 5 units = 25

             1 unit = 25 ÷ 5

                       = 5

Step 3: 55 - 25 = 35

Step 4: 3 units = 5 x 3

                        = 15

They gave away 15 cupcakes.



10)  

Chester sold 819 toy guns in 3 days. He sold 154 toy guns on the first day. On the second day, he sold 37 of the remaining toy guns. How many toy guns did he sell on the third day

Answer: 380


SOLUTION 1 :
819
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
154 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 819 - 154 = 665

Step 2: 7 units = 665

             1 unit = 665 ÷ 7

                       = 95

Step 3: 77 - 37 = 47

Step 4: 4 units = 95 x 4 

                        = 380

He sold 380 toy guns on the third day.