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)  

Naegi has $42 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:_______________




2)  

There are 840 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:_______________




3)  

Apple wants to update 630 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:_______________




4)  

Chester sold 455 toy guns in 3 days. He sold 231 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)  

A family had 35 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:_______________




6)  

Naegi has $39 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:_______________




7)  

There are 870 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:_______________




8)  

Apple wants to update 553 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 322 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 511 toy guns in 3 days. He sold 182 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)  

A family had 40 cupcakes. They ate 5 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:_______________




 

1)  

Naegi has $42 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: $10


SOLUTION 1 :
42
 
 
 
 
 
 
 
 
Remainder
 
 
12 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 42 - 12 = 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.



2)  

There are 840 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: 460


SOLUTION 1 :
840
 
 
 
 
 
 
 
 
Remainder
 
 
150 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 840 - 150 = 690

Step 2: 3 units = 690

             1 unit = 690 ÷ 3

                       = 230

Step 3: 33 - 13 = 23

Step 4: 2 units = 230 x 2 

                        = 460

460 fences were painted on the fifth day.



3)  

Apple wants to update 630 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: 170


SOLUTION 1 :
630
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
392 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 630 - 392 = 238

Step 2: 7 units = 238

             1 unit = 238 ÷ 7

                       = 34

Step 3: 77 - 27 = 57

Step 4: 5 units = 34 x 5 

                        = 170

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



4)  

Chester sold 455 toy guns in 3 days. He sold 231 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: 128


SOLUTION 1 :
455
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
231 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 455 - 231 = 224

Step 2: 7 units = 224

             1 unit = 224 ÷ 7

                       = 32

Step 3: 77 - 37 = 47

Step 4: 4 units = 32 x 4 

                        = 128

He sold 128 toy guns on the third day.



5)  

A family had 35 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: 9


SOLUTION 1 :
35
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
20 (Monday)
 
 
Tuesday
 
 
Given Away

Step 1: 35 - 20 = 15

Step 2: 5 units = 15

             1 unit = 15 ÷ 5

                       = 3

Step 3: 55 - 25 = 35

Step 4: 3 units = 3 x 3

                        = 9

They gave away 9 cupcakes.



6)  

Naegi has $39 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: $8


SOLUTION 1 :
39
 
 
 
 
 
 
 
 
Remainder
 
 
15 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 39 - 15 = 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.



7)  

There are 870 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: 440


SOLUTION 1 :
870
 
 
 
 
 
 
 
 
Remainder
 
 
210 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 870 - 210 = 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.



8)  

Apple wants to update 553 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 322 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: 165


SOLUTION 1 :
553
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
322 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 553 - 322 = 231

Step 2: 7 units = 231

             1 unit = 231 ÷ 7

                       = 33

Step 3: 77 - 27 = 57

Step 4: 5 units = 33 x 5 

                        = 165

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



9)  

Chester sold 511 toy guns in 3 days. He sold 182 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: 188


SOLUTION 1 :
511
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
182 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 511 - 182 = 329

Step 2: 7 units = 329

             1 unit = 329 ÷ 7

                       = 47

Step 3: 77 - 37 = 47

Step 4: 4 units = 47 x 4 

                        = 188

He sold 188 toy guns on the third day.



10)  

A family had 40 cupcakes. They ate 5 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: 21


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

Step 1: 40 - 5 = 35

Step 2: 5 units = 35

             1 unit = 35 ÷ 5

                       = 7

Step 3: 55 - 25 = 35

Step 4: 3 units = 7 x 3

                        = 21

They gave away 21 cupcakes.