Scroll:Heuristics >> Number X Value >> 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)  

Parveen had a total of 128, 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:_______________




2)  

Mithra had a total of 380, 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:_______________




3)  

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 48, 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 thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 37, how many coins are there together


Answer:_______________




5)  

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 36, how many coins are there together


Answer:_______________




6)  

Moorthi 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)  

Chellamal had a total of 176, 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:_______________




8)  

Amutha had a total of 80, 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:_______________




9)  

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 36, 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 thrice as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 16, how many coins are there together


Answer:_______________




 

1)  

Parveen had a total of 128, 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: 32


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 = 128

1 unit = 128  ÷ 16

          = 8

Step 2:

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

4 units = 4 x 8

            = 32 notes


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

128 ÷ 16 = 8 sets

*Note: 1 set has 4 notes

Step 3:

8 x 4 = 32 notes



2)  

Mithra had a total of 380, 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: 114


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

380 ÷ 20 = 19 sets

*Note: 1 set has 6 notes

Step 3:

19 x 6 = 114 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 = 380

1 unit = 380  ÷ 20

          = 19

Step 2:

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

6 units = 6 x 19

            = 114 notes



3)  

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 48, how many coins are there together

Answer: 400


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:

48 ÷ 0.60 = 80

Step 2:

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

5 units = 5 x 80

            =  400


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

48 ÷ 0.60 = 80 sets

*Note: 1 set has 5 notes

Step 3:

80 x 5 = 400 notes



4)  

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 37, how many coins are there together

Answer: 296


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

37 ÷ 0.50 = 74 sets

*Note: 1 set has 4 notes

Step 3:

74 x 4 = 296 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:

$37 ÷ 0.50 = 74

Step 2:

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

4 units = 4 x 74

           =  296



5)  

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 36, how many coins are there together

Answer: 270


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 = 0.40(1 set)

Step 2:

36 ÷ 0.40 = 90 sets

*Note: 1 set has 3 notes

Step 3:

90 x 3 = 270 


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:

  36 ÷ 0.40 = 90

Step 2:

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

3 units = 3 x 90

           =  270



6)  

Moorthi 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)  

Chellamal had a total of 176, 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: 44


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 = 176

1 unit = 176  ÷ 16

          = 11

Step 2:

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

4 units = 4 x 11

            = 44 notes


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

176 ÷ 16 = 11 sets

*Note: 1 set has 4 notes

Step 3:

11 x 4 = 44 notes



8)  

Amutha had a total of 80, 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: 24


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

80 ÷ 20 = 4 sets

*Note: 1 set has 6 notes

Step 3:

4 x 6 = 24 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 = 80

1 unit = 80  ÷ 20

          = 4

Step 2:

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

6 units = 6 x 4

            = 24 notes



9)  

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 36, how many coins are there together

Answer: 300


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:

36 ÷ 0.60 = 60

Step 2:

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

5 units = 5 x 60

            =  300


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

36 ÷ 0.60 = 60 sets

*Note: 1 set has 5 notes

Step 3:

60 x 5 = 300 notes



10)  

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 16, how many coins are there together

Answer: 128


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

16 ÷ 0.50 = 32 sets

*Note: 1 set has 4 notes

Step 3:

32 x 4 = 128 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:

$16 ÷ 0.50 = 32

Step 2:

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

4 units = 4 x 32

           =  128