Scroll:Whole Numbers >> Four Operations >> 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)  

Kumar had a total of 162, 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:_______________




2)  

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 33, 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 four times as many 10-cent coins as 20-cent coins. If the total amount of money in the box is 54, how many coins are there together


Answer:_______________




4)  

Selvanayaki had a total of 144, 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:_______________




5)  

Haritha had a total of 300, 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:_______________




6)  

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 32, how many coins are there together


Answer:_______________




7)  

Barathan had a total of 126, 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:_______________




8)  

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 29, 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 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:_______________




10)  

Chithra had a total of 48, 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:_______________




 

1)  

Kumar had a total of 162, 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: 45


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 = 162

1 unit = 162  ÷ 18

          = 9

Step 2:

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

5 units = 5 x 9

            = 45 notes


SOLUTION 2 :

Grouping method

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

Step 2: 162 ÷ 18 = 9 sets

*Note: 1 set has 5 notes

Step 3: 9 x 5 = 45 notes



2)  

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 33, how many coins are there together

Answer: 264


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

33 ÷ 0.50 = 66 sets

*Note: 1 set has 4 notes

Step 3:

66 x 4 = 264 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:

$33 ÷ 0.50 = 66

Step 2:

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

4 units = 4 x 66

           =  264



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 54, how many coins are there together

Answer: 450


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:

54 ÷ 0.60 = 90

Step 2:

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

5 units = 5 x 90

            =  450


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

54 ÷ 0.60 = 90 sets

*Note: 1 set has 5 notes

Step 3:

90 x 5 = 450 notes



4)  

Selvanayaki had a total of 144, 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: 36


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 = 144

1 unit = 144  ÷ 16

          = 9

Step 2:

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

4 units = 4 x 9

            = 36 notes


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

144 ÷ 16 = 9 sets

*Note: 1 set has 4 notes

Step 3:

9 x 4 = 36 notes



5)  

Haritha had a total of 300, 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: 90


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

300 ÷ 20 = 15 sets

*Note: 1 set has 6 notes

Step 3:

15 x 6 = 90 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 = 300

1 unit = 300  ÷ 20

          = 15

Step 2:

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

6 units = 6 x 15

            = 90 notes



6)  

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 32, how many coins are there together

Answer: 240


SOLUTION 1 :

Grouping method

Step 1:

0.20 + 0.10 + 0.10 = 0.40(1 set)

Step 2:

32 ÷ 0.40 = 80 sets

*Note: 1 set has 3 notes

Step 3:

80 x 3 = 240 


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:

  32 ÷ 0.40 = 80

Step 2:

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

3 units = 3 x 80

           =  240



7)  

Barathan had a total of 126, 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: 35


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 = 126

1 unit = 126  ÷ 18

          = 7

Step 2:

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

5 units = 5 x 7

            = 35 notes


SOLUTION 2 :

Grouping method

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

Step 2: 126 ÷ 18 = 7 sets

*Note: 1 set has 5 notes

Step 3: 7 x 5 = 35 notes



8)  

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 29, how many coins are there together

Answer: 232


SOLUTION 1 :

Grouping method

Step 1:

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

Step 2:

29 ÷ 0.50 = 58 sets

*Note: 1 set has 4 notes

Step 3:

58 x 4 = 232 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:

$29 ÷ 0.50 = 58

Step 2:

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

4 units = 4 x 58

           =  232



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 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



10)  

Chithra had a total of 48, 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: 12


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 = 48

1 unit = 48  ÷ 16

          = 3

Step 2:

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

4 units = 4 x 3

            = 12 notes


SOLUTION 2 :

Grouping method

Step 1:

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

Step 2:

48 ÷ 16 = 3 sets

*Note: 1 set has 4 notes

Step 3:

3 x 4 = 12 notes