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 $45 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:_______________




2)  

Chester sold 805 toy guns in 3 days. He sold 259 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:_______________




3)  

A family had 40 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:_______________




4)  

Apple wants to update 735 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:_______________




5)  

There are 900 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:_______________




6)  

Naegi has $30 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:_______________




7)  

Chester sold 539 toy guns in 3 days. He sold 140 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:_______________




8)  

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)  

Apple wants to update 714 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 406 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)  

There are 450 fences to be painted in five days. 240 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)  

Naegi has $45 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: $13


SOLUTION 1 :
45
 
 
 
 
 
 
 
 
Remainder
 
 
6 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 45 - 6 = 39

Step 2: 3 units = 39

             1 unit = 39 ÷ 3

                       = 13

Step 3: 33 - 23 = 13

Step 4: 1 unit = 13 x 1 

                      = 13

Komaeda received $13.



2)  

Chester sold 805 toy guns in 3 days. He sold 259 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 :
805
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
259 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 805 - 259 = 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.



3)  

A family had 40 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: 15


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

Step 1: 40 - 15 = 25

Step 2: 5 units = 25

             1 unit = 25 ÷ 5

                       = 5

Step 3: 55 - 25 = 35

Step 4: 3 units = 5 x 3

                        = 15

They gave away 15 cupcakes.



4)  

Apple wants to update 735 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: 310


SOLUTION 1 :
735
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
301 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 735 - 301 = 434

Step 2: 7 units = 434

             1 unit = 434 ÷ 7

                       = 62

Step 3: 77 - 27 = 57

Step 4: 5 units = 62 x 5 

                        = 310

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



5)  

There are 900 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: 480


SOLUTION 1 :
900
 
 
 
 
 
 
 
 
Remainder
 
 
180 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 900 - 180 = 720

Step 2: 3 units = 720

             1 unit = 720 ÷ 3

                       = 240

Step 3: 33 - 13 = 23

Step 4: 2 units = 240 x 2 

                        = 480

480 fences were painted on the fifth day.



6)  

Naegi has $30 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: $6


SOLUTION 1 :
30
 
 
 
 
 
 
 
 
Remainder
 
 
12 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 30 - 12 = 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.



7)  

Chester sold 539 toy guns in 3 days. He sold 140 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: 228


SOLUTION 1 :
539
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
140 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 539 - 140 = 399

Step 2: 7 units = 399

             1 unit = 399 ÷ 7

                       = 57

Step 3: 77 - 37 = 47

Step 4: 4 units = 57 x 4 

                        = 228

He sold 228 toy guns on the third day.



8)  

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.



9)  

Apple wants to update 714 iPhones with the new iOS 7 in three days. On the 1st day, they managed to update 406 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: 220


SOLUTION 1 :
714
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
406 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 714 - 406 = 308

Step 2: 7 units = 308

             1 unit = 308 ÷ 7

                       = 44

Step 3: 77 - 27 = 57

Step 4: 5 units = 44 x 5 

                        = 220

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



10)  

There are 450 fences to be painted in five days. 240 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: 140


SOLUTION 1 :
450
 
 
 
 
 
 
 
 
Remainder
 
 
240 (First 3 days)
 
 
4th Day
 
 
5th Day

Step 1: 450 - 240 = 210

Step 2: 3 units = 210

             1 unit = 210 ÷ 3

                       = 70

Step 3: 33 - 13 = 23

Step 4: 2 units = 70 x 2 

                        = 140

140 fences were painted on the fifth day.