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)  

Apple wants to update 546 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 371 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:_______________




2)  

A family had 30 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:_______________




3)  

Chester sold 574 toy guns in 3 days. He sold 203 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:_______________




4)  

Naegi has $45 to be distributed among his three siblings. He gives $24 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

$ ___


Answer:_______________




5)  

There are 690 fences to be painted in five days. 120 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:_______________




6)  

Apple wants to update 630 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 308 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:_______________




7)  

A family had 50 cupcakes. They ate 10 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:_______________




8)  

Chester sold 560 toy guns in 3 days. He sold 343 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:_______________




9)  

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)  

There are 810 fences to be painted in five days. 150 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:_______________




 

1)  

Apple wants to update 546 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 371 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: 125


SOLUTION 1 :
546
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
371 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 546 - 371 = 175

Step 2: 7 units = 175

             1 unit = 175 ÷ 7

                       = 25

Step 3: 77 - 27 = 57

Step 4: 5 units = 25 x 5 

                        = 125

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



2)  

A family had 30 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: 3


SOLUTION 1 :
30
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
25 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 30 - 25 = 5

Step 2: 5 units = 5

             1 unit = 5 ÷ 5

                       = 1

Step 3: 55 - 25 = 35

Step 4: 3 units = 1 x 3

                        = 3

They gave away 3 cupcakes.



3)  

Chester sold 574 toy guns in 3 days. He sold 203 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: 212


SOLUTION 1 :
574
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
203 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 574 - 203 = 371

Step 2: 7 units = 371

             1 unit = 371 ÷ 7

                       = 53

Step 3: 77 - 37 = 47

Step 4: 4 units = 53 x 4 

                        = 212

He sold 212 toy guns on the third day.



4)  

Naegi has $45 to be distributed among his three siblings. He gives $24 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $7


SOLUTION 1 :
45
 
 
 
 
 
 
 
 
Remainder
 
 
24 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 45 - 24 = 21

Step 2: 3 units = 21

             1 unit = 21 ÷ 3

                       = 7

Step 3: 33 - 23 = 13

Step 4: 1 unit = 7 x 1 

                      = 7

Komaeda received $7.



5)  

There are 690 fences to be painted in five days. 120 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: 380


SOLUTION 1 :
690
 
 
 
 
 
 
 
 
Remainder
 
 
120 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 690 - 120 = 570

Step 2: 3 units = 570

             1 unit = 570 ÷ 3

                       = 190

Step 3: 33 - 13 = 23

Step 4: 2 units = 190 x 2 

                        = 380

380 fences were painted on the fifth day.



6)  

Apple wants to update 630 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 308 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: 230


SOLUTION 1 :
630
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
308 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 630 - 308 = 322

Step 2: 7 units = 322

             1 unit = 322 ÷ 7

                       = 46

Step 3: 77 - 27 = 57

Step 4: 5 units = 46 x 5 

                        = 230

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



7)  

A family had 50 cupcakes. They ate 10 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: 24


SOLUTION 1 :
50
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
10 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 50 - 10 = 40

Step 2: 5 units = 40

             1 unit = 40 ÷ 5

                       = 8

Step 3: 55 - 25 = 35

Step 4: 3 units = 8 x 3

                        = 24

They gave away 24 cupcakes.



8)  

Chester sold 560 toy guns in 3 days. He sold 343 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: 124


SOLUTION 1 :
560
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
343 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 560 - 343 = 217

Step 2: 7 units = 217

             1 unit = 217 ÷ 7

                       = 31

Step 3: 77 - 37 = 47

Step 4: 4 units = 31 x 4 

                        = 124

He sold 124 toy guns on the third day.



9)  

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.



10)  

There are 810 fences to be painted in five days. 150 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: 440


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

Step 1: 810 - 150 = 660

Step 2: 3 units = 660

             1 unit = 660 ÷ 3

                       = 220

Step 3: 33 - 13 = 23

Step 4: 2 units = 220 x 2 

                        = 440

440 fences were painted on the fifth day.