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 $33 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:_______________




2)  

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:_______________




3)  

Chester sold 462 toy guns in 3 days. He sold 273 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)  

A family had 30 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:_______________




5)  

Apple wants to update 896 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 245 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:_______________




6)  

Naegi has $42 to be distributed among his three siblings. He gives $9 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 540 fences to be painted in five days. 90 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)  

Chester sold 714 toy guns in 3 days. He sold 196 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)  

A family had 45 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)  

Apple wants to update 861 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 301 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:_______________




 

1)  

Naegi has $33 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: $4


SOLUTION 1 :
33
 
 
 
 
 
 
 
 
Remainder
 
 
21 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 33 - 21 = 12

Step 2: 3 units = 12

             1 unit = 12 ÷ 3

                       = 4

Step 3: 33 - 23 = 13

Step 4: 1 unit = 4 x 1 

                      = 4

Komaeda received $4.



2)  

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.



3)  

Chester sold 462 toy guns in 3 days. He sold 273 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: 108


SOLUTION 1 :
462
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
273 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 462 - 273 = 189

Step 2: 7 units = 189

             1 unit = 189 ÷ 7

                       = 27

Step 3: 77 - 37 = 47

Step 4: 4 units = 27 x 4 

                        = 108

He sold 108 toy guns on the third day.



4)  

A family had 30 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


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

Step 1: 30 - 20 = 10

Step 2: 5 units = 10

             1 unit = 10 ÷ 5

                       = 2

Step 3: 55 - 25 = 35

Step 4: 3 units = 2 x 3

                        = 6

They gave away 6 cupcakes.



5)  

Apple wants to update 896 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 245 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: 465


SOLUTION 1 :
896
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
245 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 896 - 245 = 651

Step 2: 7 units = 651

             1 unit = 651 ÷ 7

                       = 93

Step 3: 77 - 27 = 57

Step 4: 5 units = 93 x 5 

                        = 465

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



6)  

Naegi has $42 to be distributed among his three siblings. He gives $9 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $11


SOLUTION 1 :
42
 
 
 
 
 
 
 
 
Remainder
 
 
9 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 42 - 9 = 33

Step 2: 3 units = 33

             1 unit = 33 ÷ 3

                       = 11

Step 3: 33 - 23 = 13

Step 4: 1 unit = 11 x 1 

                      = 11

Komaeda received $11.



7)  

There are 540 fences to be painted in five days. 90 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: 300


SOLUTION 1 :
540
 
 
 
 
 
 
 
 
Remainder
 
 
90 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 540 - 90 = 450

Step 2: 3 units = 450

             1 unit = 450 ÷ 3

                       = 150

Step 3: 33 - 13 = 23

Step 4: 2 units = 150 x 2 

                        = 300

300 fences were painted on the fifth day.



8)  

Chester sold 714 toy guns in 3 days. He sold 196 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: 296


SOLUTION 1 :
714
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
196 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 714 - 196 = 518

Step 2: 7 units = 518

             1 unit = 518 ÷ 7

                       = 74

Step 3: 77 - 37 = 47

Step 4: 4 units = 74 x 4 

                        = 296

He sold 296 toy guns on the third day.



9)  

A family had 45 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: 18


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

Step 1: 45 - 15 = 30

Step 2: 5 units = 30

             1 unit = 30 ÷ 5

                       = 6

Step 3: 55 - 25 = 35

Step 4: 3 units = 6 x 3

                        = 18

They gave away 18 cupcakes.



10)  

Apple wants to update 861 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 301 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: 400


SOLUTION 1 :
861
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
301 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 861 - 301 = 560

Step 2: 7 units = 560

             1 unit = 560 ÷ 7

                       = 80

Step 3: 77 - 27 = 57

Step 4: 5 units = 80 x 5 

                        = 400

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