Scroll:Fraction >> 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 630 fences to be painted in five days. 270 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)  

A family had 40 cupcakes. They ate 20 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)  

Apple wants to update 819 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 399 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)  

Chester sold 763 toy guns in 3 days. He sold 77 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:_______________




5)  

Naegi has $39 to be distributed among his three siblings. He gives $21 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

$ ___


Answer:_______________




6)  

There are 570 fences to be painted in five days. 270 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)  

A family had 30 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)  

Apple wants to update 616 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 413 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)  

Chester sold 686 toy guns in 3 days. He sold 161 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:_______________




10)  

Naegi has $39 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:_______________




 

1)  

There are 630 fences to be painted in five days. 270 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: 240


SOLUTION 1 :
630
 
 
 
 
 
 
 
 
Remainder
 
 
270 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 630 - 270 = 360

Step 2: 3 units = 360

             1 unit = 360 ÷ 3

                       = 120

Step 3: 33 - 13 = 23

Step 4: 2 units = 120 x 2 

                        = 240

240 fences were painted on the fifth day.



2)  

A family had 40 cupcakes. They ate 20 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 :
40
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
20 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 40 - 20 = 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.



3)  

Apple wants to update 819 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 399 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: 300


SOLUTION 1 :
819
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
399 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 819 - 399 = 420

Step 2: 7 units = 420

             1 unit = 420 ÷ 7

                       = 60

Step 3: 77 - 27 = 57

Step 4: 5 units = 60 x 5 

                        = 300

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



4)  

Chester sold 763 toy guns in 3 days. He sold 77 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: 392


SOLUTION 1 :
763
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
77 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 763 - 77 = 686

Step 2: 7 units = 686

             1 unit = 686 ÷ 7

                       = 98

Step 3: 77 - 37 = 47

Step 4: 4 units = 98 x 4 

                        = 392

He sold 392 toy guns on the third day.



5)  

Naegi has $39 to be distributed among his three siblings. He gives $21 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $6


SOLUTION 1 :
39
 
 
 
 
 
 
 
 
Remainder
 
 
21 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 39 - 21 = 18

Step 2: 3 units = 18

             1 unit = 18 ÷ 3

                       = 6

Step 3: 33 - 23 = 13

Step 4: 1 unit = 6 x 1 

                      = 6

Komaeda received $6.



6)  

There are 570 fences to be painted in five days. 270 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: 200


SOLUTION 1 :
570
 
 
 
 
 
 
 
 
Remainder
 
 
270 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 570 - 270 = 300

Step 2: 3 units = 300

             1 unit = 300 ÷ 3

                       = 100

Step 3: 33 - 13 = 23

Step 4: 2 units = 100 x 2 

                        = 200

200 fences were painted on the fifth day.



7)  

A family had 30 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: 12


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

Step 1: 30 - 10 = 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.



8)  

Apple wants to update 616 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 413 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: 145


SOLUTION 1 :
616
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
413 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 616 - 413 = 203

Step 2: 7 units = 203

             1 unit = 203 ÷ 7

                       = 29

Step 3: 77 - 27 = 57

Step 4: 5 units = 29 x 5 

                        = 145

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



9)  

Chester sold 686 toy guns in 3 days. He sold 161 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: 300


SOLUTION 1 :
686
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
161 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 686 - 161 = 525

Step 2: 7 units = 525

             1 unit = 525 ÷ 7

                       = 75

Step 3: 77 - 37 = 47

Step 4: 4 units = 75 x 4 

                        = 300

He sold 300 toy guns on the third day.



10)  

Naegi has $39 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


SOLUTION 1 :
39
 
 
 
 
 
 
 
 
Remainder
 
 
24 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 39 - 24 = 15

Step 2: 3 units = 15

             1 unit = 15 ÷ 3

                       = 5

Step 3: 33 - 23 = 13

Step 4: 1 unit = 5 x 1 

                      = 5

Komaeda received $5.