Scroll:Heuristics >> Grouping Method >> ps (134)

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)  

Savithri has some 5-gram and 10-gram weights. The weights add up to 75 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Savithri have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 120 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Amutha got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $165.00. There are 20 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Tamilselvi has 

twenty-cent coins

fifty-cent coins




Answer:_______________




4)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Tulasi have

ten-gram weights

five-gram weights



Answer:_______________




5)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 155 cents. There are 4 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Amutha got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $80.40. There are 17 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Poongodi has 

twenty-cent coins

fifty-cent coins




Answer:_______________




7)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 145 g. There are 2 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Kumutha have

ten-gram weights

five-gram weights



Answer:_______________




8)  

Indra has some 5-cent and 10-cent coins. The coins add up to 225 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Indra got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $81.60. There are 23 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Nandini has 

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Parveen has some 5-gram and 10-gram weights. The weights add up to 185 g. There are 4 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Parveen have

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Savithri has some 5-gram and 10-gram weights. The weights add up to 75 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Savithri have

Answer: 4 ten-gram weights

Answer: 7 five-gram weights



SOLUTION 1 :

There are 3 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 3 (5-gram weights) → 3 x 5 g
     = 15 g
 Step 2: 75 g - 15 g  = 60 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 60 g ÷ 15 g = 4 (10-gram weights)
 Step 5: 4 + 3  = 7 (5-gram weights)

 

 

 

Savithri has 7 five-gram weights and 4 ten-gram weights



2)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 120 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Amutha got

Answer: 14 five-cent coins

Answer: 5 ten-cent coins


SOLUTION 1 :

There are 9 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 9 five-cent coins → 9 x 5
     = 45 cents
 Step 2: 120 cents - 45 cents  = 75 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 75 ÷ 15 cents  = 5 (10-cent coins)
  5 + 9  = 14 (5-cent coins)

 

 Amutha has 14 five-cent coins and 5 ten-cent coins.



3)  

Tamilselvi has some 20-cent coins and 50-cent coins. The coins add up to $165.00. There are 20 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Tamilselvi has 

Answer: 250 twenty-cent coins

Answer: 230 fifty-cent coins




SOLUTION 1 :

There are 20 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 20 (20-cent coins) → 20 x 20
     = 400 cents
     = $4.00
 Step 2: $165.00 - $4.00  = $161.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $161.00 ÷ $0.70 = 230 (50-cent coins)
 Step 5: 230 + 20  = 250 (20-cent coins)

 

 Tamilselvi has 250 twenty-cent coins and 230 fifty-cent coins.



4)  

Tulasi has some 5-gram and 10-gram weights. The weights add up to 135 g. There are 3 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Tulasi have

Answer: 8 ten-gram weights

Answer: 11 five-gram weights



SOLUTION 1 :

There are 3 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 3 (5-gram weights) → 3 x 5 g
     = 15 g
 Step 2: 135 g - 15 g  = 120 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 120 g ÷ 15 g = 8 (10-gram weights)
 Step 5: 8 + 3  = 11 (5-gram weights)

 

 

 

Tulasi has 11 five-gram weights and 8 ten-gram weights



5)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 155 cents. There are 4 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Amutha got

Answer: 13 five-cent coins

Answer: 9 ten-cent coins


SOLUTION 1 :

There are 4 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 4 five-cent coins → 4 x 5
     = 20 cents
 Step 2: 155 cents - 20 cents  = 135 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 135 ÷ 15 cents  = 9 (10-cent coins)
  9 + 4  = 13 (5-cent coins)

 

 Amutha has 13 five-cent coins and 9 ten-cent coins.



6)  

Poongodi has some 20-cent coins and 50-cent coins. The coins add up to $80.40. There are 17 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Poongodi has 

Answer: 127 twenty-cent coins

Answer: 110 fifty-cent coins




SOLUTION 1 :

There are 17 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 17 (20-cent coins) → 17 x 20
     = 340 cents
     = $3.40
 Step 2: $80.40 - $3.40  = $77.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $77.00 ÷ $0.70 = 110 (50-cent coins)
 Step 5: 110 + 17  = 127 (20-cent coins)

 

 Poongodi has 127 twenty-cent coins and 110 fifty-cent coins.



7)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 145 g. There are 2 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Kumutha have

Answer: 9 ten-gram weights

Answer: 11 five-gram weights



SOLUTION 1 :

There are 2 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 2 (5-gram weights) → 2 x 5 g
     = 10 g
 Step 2: 145 g - 10 g  = 135 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 135 g ÷ 15 g = 9 (10-gram weights)
 Step 5: 9 + 2  = 11 (5-gram weights)

 

 

 

Kumutha has 11 five-gram weights and 9 ten-gram weights



8)  

Indra has some 5-cent and 10-cent coins. The coins add up to 225 cents. There are 9 more 5-cent coins than 10-cent coins. How many 5-cent coins than 10-cent coins.

How many 5-cent coins and 10-cent coins has Indra got

Answer: 21 five-cent coins

Answer: 12 ten-cent coins


SOLUTION 1 :

There are 9 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 9 five-cent coins → 9 x 5
     = 45 cents
 Step 2: 225 cents - 45 cents  = 180 cents
 Step 3: The value of 1 set of 1 five-cent coin and 1 ten-cent coin → 5 cents + 10 cents
     = 15 cents
 Step 4: 180 ÷ 15 cents  = 12 (10-cent coins)
  12 + 9  = 21 (5-cent coins)

 

 Indra has 21 five-cent coins and 12 ten-cent coins.



9)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $81.60. There are 23 more 20-cent coins than 50-cent coins.

How many 20-cent coins and 50-cent coins Nandini has 

Answer: 133 twenty-cent coins

Answer: 110 fifty-cent coins




SOLUTION 1 :

There are 23 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 23 (20-cent coins) → 23 x 20
     = 460 cents
     = $4.60
 Step 2: $81.60 - $4.60  = $77.00
 Step 3: The value of each set of one 20-cent and one 50-cent coins is  = 20 + 50
     = 70 cents (1 set)
     = $0.70
 Step 4: $77.00 ÷ $0.70 = 110 (50-cent coins)
 Step 5: 110 + 23  = 133 (20-cent coins)

 

 Nandini has 133 twenty-cent coins and 110 fifty-cent coins.



10)  

Parveen has some 5-gram and 10-gram weights. The weights add up to 185 g. There are 4 more 5-gram weights than 10-gram weights.

How many 5-gram weights and 10-gram weights does Parveen have

Answer: 11 ten-gram weights

Answer: 15 five-gram weights



SOLUTION 1 :

There are 4 more 5-gram weights than 10-gram weights.

 Step 1: The value of the 4 (5-gram weights) → 4 x 5 g
     = 20 g
 Step 2: 185 g - 20 g  = 165 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 165 g ÷ 15 g = 11 (10-gram weights)
 Step 5: 11 + 4  = 15 (5-gram weights)

 

 

 

Parveen has 15 five-gram weights and 11 ten-gram weights