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 690 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 35 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:_______________




3)  

Naegi has $42 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:_______________




4)  

Apple wants to update 616 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 343 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:_______________




5)  

Chester sold 777 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:_______________




6)  

There are 870 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)  

A family had 45 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)  

Naegi has $33 to be distributed among his three siblings. He gives $6 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

$ ___


Answer:_______________




9)  

Apple wants to update 833 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 287 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:_______________




10)  

Chester sold 700 toy guns in 3 days. He sold 224 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 690 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: 280


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

Step 1: 690 - 270 = 420

Step 2: 3 units = 420

             1 unit = 420 ÷ 3

                       = 140

Step 3: 33 - 13 = 23

Step 4: 2 units = 140 x 2 

                        = 280

280 fences were painted on the fifth day.



2)  

A family had 35 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: 18


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

Step 1: 35 - 5 = 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.



3)  

Naegi has $42 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: $6


SOLUTION 1 :
42
 
 
 
 
 
 
 
 
Remainder
 
 
24 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 42 - 24 = 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.



4)  

Apple wants to update 616 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 343 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: 195


SOLUTION 1 :
616
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
343 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 616 - 343 = 273

Step 2: 7 units = 273

             1 unit = 273 ÷ 7

                       = 39

Step 3: 77 - 27 = 57

Step 4: 5 units = 39 x 5 

                        = 195

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



5)  

Chester sold 777 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: 312


SOLUTION 1 :
777
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
231 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 777 - 231 = 546

Step 2: 7 units = 546

             1 unit = 546 ÷ 7

                       = 78

Step 3: 77 - 37 = 47

Step 4: 4 units = 78 x 4 

                        = 312

He sold 312 toy guns on the third day.



6)  

There are 870 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: 460


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

Step 1: 870 - 180 = 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.



7)  

A family had 45 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: 21


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

Step 1: 45 - 10 = 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.



8)  

Naegi has $33 to be distributed among his three siblings. He gives $6 to Kirigiri and then gives 23 of the remaining cash to Makoto. The rest were given to Komaeda. How much did Komaeda receive

Answer: $9


SOLUTION 1 :
33
 
 
 
 
 
 
 
 
Remainder
 
 
6 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 33 - 6 = 27

Step 2: 3 units = 27

             1 unit = 27 ÷ 3

                       = 9

Step 3: 33 - 23 = 13

Step 4: 1 unit = 9 x 1 

                      = 9

Komaeda received $9.



9)  

Apple wants to update 833 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 287 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: 390


SOLUTION 1 :
833
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
287 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 833 - 287 = 546

Step 2: 7 units = 546

             1 unit = 546 ÷ 7

                       = 78

Step 3: 77 - 27 = 57

Step 4: 5 units = 78 x 5 

                        = 390

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



10)  

Chester sold 700 toy guns in 3 days. He sold 224 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: 272


SOLUTION 1 :
700
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
224 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 700 - 224 = 476

Step 2: 7 units = 476

             1 unit = 476 ÷ 7

                       = 68

Step 3: 77 - 37 = 47

Step 4: 4 units = 68 x 4 

                        = 272

He sold 272 toy guns on the third day.