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)  

Apple wants to update 518 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:_______________




2)  

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:_______________




3)  

Chester sold 868 toy guns in 3 days. He sold 308 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)  

There are 450 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:_______________




5)  

Naegi has $36 to be distributed among his three siblings. He gives $18 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)  

Apple wants to update 525 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:_______________




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)  

Chester sold 672 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:_______________




9)  

There are 450 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:_______________




10)  

Naegi has $33 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)  

Apple wants to update 518 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: 85


SOLUTION 1 :
518
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
399 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 518 - 399 = 119

Step 2: 7 units = 119

             1 unit = 119 ÷ 7

                       = 17

Step 3: 77 - 27 = 57

Step 4: 5 units = 17 x 5 

                        = 85

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



2)  

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.



3)  

Chester sold 868 toy guns in 3 days. He sold 308 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: 320


SOLUTION 1 :
868
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
308 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 868 - 308 = 560

Step 2: 7 units = 560

             1 unit = 560 ÷ 7

                       = 80

Step 3: 77 - 37 = 47

Step 4: 4 units = 80 x 4 

                        = 320

He sold 320 toy guns on the third day.



4)  

There are 450 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: 200


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

Step 1: 450 - 150 = 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.



5)  

Naegi has $36 to be distributed among his three siblings. He gives $18 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 :
36
 
 
 
 
 
 
 
 
Remainder
 
 
18 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 36 - 18 = 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)  

Apple wants to update 525 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: 130


SOLUTION 1 :
525
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
343 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 525 - 343 = 182

Step 2: 7 units = 182

             1 unit = 182 ÷ 7

                       = 26

Step 3: 77 - 27 = 57

Step 4: 5 units = 26 x 5 

                        = 130

130 more iPhones have to be updated on the 3rd 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)  

Chester sold 672 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: 228


SOLUTION 1 :
672
 
 
 
 
 
 
 
 
 
 
 
 
Remainder
 
 
273 (1st Day)
 
 
2nd Day
 
 
3rd Day

Step 1: 672 - 273 = 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.



9)  

There are 450 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: 240


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

Step 1: 450 - 90 = 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.



10)  

Naegi has $33 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: $3


SOLUTION 1 :
33
 
 
 
 
 
 
 
 
Remainder
 
 
24 (Kirigiri)
 
 
Makoto
 
 
Komaeda

Step 1: 33 - 24 = 9

Step 2: 3 units = 9

             1 unit = 9 ÷ 3

                       = 3

Step 3: 33 - 23 = 13

Step 4: 1 unit = 3 x 1 

                      = 3

Komaeda received $3.