Scroll:Whole Numbers >> Other Heuristics >> ps (301)

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)  

Haritha had a total of 240, consisting of 10 and 2 notes. Given that she had five times as many 2 notes as 10 notes, how many notes did she have


Answer:_______________




2)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are twice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 24, how many coins are there together


Answer:_______________




3)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 28, how many coins are there together


Answer:_______________




4)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are four times as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 90, how many coins are there together


Answer:_______________




5)  

Amutha had a total of 224, consisting of 10 and 2 notes. Given that she had three times as many 2 notes as 10 notes, how many notes did she have


Answer:_______________




6)  

Chidambaram had a total of 72, consisting of 10 and 2 notes. Given that he had four times as many 2 notes as 10 notes, how many notes did he have


Answer:_______________




7)  

Nandini had a total of 140, consisting of 10 and 2 notes. Given that she had five times as many 2 notes as 10 notes, how many notes did she have


Answer:_______________




8)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are twice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 20, how many coins are there together


Answer:_______________




9)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 13, how many coins are there together


Answer:_______________




10)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are four times as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 30, how many coins are there together


Answer:_______________




 

1)  

Haritha had a total of 240, consisting of 10 and 2 notes. Given that she had five times as many 2 notes as 10 notes, how many notes did she have

Answer: 72


SOLUTION 1 :

Grouping method

Step 1:

10 + 2 + 2 + 2 + 2 + 2= 20 (1 set)

Step 2:

240 ÷ 20 = 12 sets

*Note: 1 set has 6 notes

Step 3:

12 x 6 = 72 notes


SOLUTION 2 :
  No.of notes x Value Total Units
10 1 x 10 10U
2 5 x 10 10U
  6     20U

 

Step 1:

20 units = 240

1 unit = 240  ÷ 20

          = 12

Step 2:

5 units (2 notes) + 1 unit (10 notes) = 6 units

6 units = 6 x 12

            = 72 notes



2)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are twice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 24, how many coins are there together

Answer: 180


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 = 0.40(1 set)

Step 2:

24 ÷ 0.40 = 60 sets

*Note: 1 set has 3 notes

Step 3:

60 x 3 = 180 


SOLUTION 2 :
  No. of coins x Value Total Value
10-cent 2u x 0.10 0.20
20-cent 1u x 0.20 0.20
  3u     0.40

Step 1:

  24 ÷ 0.40 = 60

Step 2:

2 units (10-cent) + 1 unit (20-cent) = 3 units

3 units = 3 x 60

           =  180



3)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 28, how many coins are there together

Answer: 224


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 + 0.10 = 0.50(1 set)

Step 2:

28 ÷ 0.50 = 56 sets

*Note: 1 set has 4 notes

Step 3:

56 x 4 = 224 notes


SOLUTION 2 :
  No. of coins x Value Total Value
10-cent 3u x 0.10 0.30
20-cent 1u x 0.20 0.20
  4u     0.50

Step 1:

$28 ÷ 0.50 = 56

Step 2:

3 units (10-cent) + 1 unit (20-cent) = 4 units

4 units = 4 x 56

           =  224



4)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are four times as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 90, how many coins are there together

Answer: 750


SOLUTION 1 :
  No. of coins x Value Total Value
10-cent 4u x 0.10 0.40
20-cent 1u x 0.20 0.20
  5u     0.60

Step 1:

90 ÷ 0.60 = 150

Step 2:

4 units (10-cent) + 1 unit (20-cent) = 5 units

5 units = 5 x 150

            =  750


SOLUTION 2 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 + 0.10 + 0.10 = 0.60(1 set)

Step 2:

90 ÷ 0.60 = 150 sets

*Note: 1 set has 5 notes

Step 3:

150 x 5 = 750 notes



5)  

Amutha had a total of 224, consisting of 10 and 2 notes. Given that she had three times as many 2 notes as 10 notes, how many notes did she have

Answer: 56


SOLUTION 1 :
  No.of notes x Value Total Value
10 1u x 10 10U
2 3u x 2 6U
  4u     16U

 

Step 1:

16 units = 224

1 unit = 224  ÷ 16

          = 14

Step 2:

3 units (2 notes) + 1 unit (10 notes) = 4 units

4 units = 4 x 14

            = 56 notes


SOLUTION 2 :

Grouping method

Step 1:

10 + 2 + 2 + 2 = 16(1 set)

Step 2:

224 ÷ 16 = 14 sets

*Note: 1 set has 4 notes

Step 3:

14 x 4 = 56 notes



6)  

Chidambaram had a total of 72, consisting of 10 and 2 notes. Given that he had four times as many 2 notes as 10 notes, how many notes did he have

Answer: 20


SOLUTION 1 :
  No.of notes x Value Total Units
10 1u x 10 10U
2 4u x 2 8U
  5u     18U

 

Step 1:

18 units = 72

1 unit = 72  ÷ 18

          = 4

Step 2:

4 units (2 notes) + 1 unit (10 notes) = 5 units

5 units = 5 x 4

            = 20 notes


SOLUTION 2 :

Grouping method

Step 1: 10 + 2 + 2 + 2 + 2 = 18(1 set)

Step 2: 72 ÷ 18 = 4 sets

*Note: 1 set has 5 notes

Step 3: 4 x 5 = 20 notes



7)  

Nandini had a total of 140, consisting of 10 and 2 notes. Given that she had five times as many 2 notes as 10 notes, how many notes did she have

Answer: 42


SOLUTION 1 :

Grouping method

Step 1:

10 + 2 + 2 + 2 + 2 + 2= 20 (1 set)

Step 2:

140 ÷ 20 = 7 sets

*Note: 1 set has 6 notes

Step 3:

7 x 6 = 42 notes


SOLUTION 2 :
  No.of notes x Value Total Units
10 1 x 10 10U
2 5 x 10 10U
  6     20U

 

Step 1:

20 units = 140

1 unit = 140  ÷ 20

          = 7

Step 2:

5 units (2 notes) + 1 unit (10 notes) = 6 units

6 units = 6 x 7

            = 42 notes



8)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are twice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 20, how many coins are there together

Answer: 150


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 = 0.40(1 set)

Step 2:

20 ÷ 0.40 = 50 sets

*Note: 1 set has 3 notes

Step 3:

50 x 3 = 150 


SOLUTION 2 :
  No. of coins x Value Total Value
10-cent 2u x 0.10 0.20
20-cent 1u x 0.20 0.20
  3u     0.40

Step 1:

  20 ÷ 0.40 = 50

Step 2:

2 units (10-cent) + 1 unit (20-cent) = 3 units

3 units = 3 x 50

           =  150



9)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 13, how many coins are there together

Answer: 104


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 + 0.10 = 0.50(1 set)

Step 2:

13 ÷ 0.50 = 26 sets

*Note: 1 set has 4 notes

Step 3:

26 x 4 = 104 notes


SOLUTION 2 :
  No. of coins x Value Total Value
10-cent 3u x 0.10 0.30
20-cent 1u x 0.20 0.20
  4u     0.50

Step 1:

$13 ÷ 0.50 = 26

Step 2:

3 units (10-cent) + 1 unit (20-cent) = 4 units

4 units = 4 x 26

           =  104



10)  

There are some coins in a box. The coins consist of 10-cent and 20-cent coins. There are four times as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 30, how many coins are there together

Answer: 250


SOLUTION 1 :
  No. of coins x Value Total Value
10-cent 4u x 0.10 0.40
20-cent 1u x 0.20 0.20
  5u     0.60

Step 1:

30 ÷ 0.60 = 50

Step 2:

4 units (10-cent) + 1 unit (20-cent) = 5 units

5 units = 5 x 50

            =  250


SOLUTION 2 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 + 0.10 + 0.10 = 0.60(1 set)

Step 2:

30 ÷ 0.60 = 50 sets

*Note: 1 set has 5 notes

Step 3:

50 x 5 = 250 notes