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)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 80 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




2)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 160 cents. There are 5 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 Pavi got

five-cent coins

ten-cent coins


Answer:_______________




3)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $148.00. There are 5 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




4)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 5 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




5)  

Kumutha has some 5-cent and 10-cent coins. The coins add up to 100 cents. There are 8 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 Kumutha got

five-cent coins

ten-cent coins


Answer:_______________




6)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $207.80. There are 24 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




7)  

Savithri 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 Savithri have

ten-gram weights

five-gram weights



Answer:_______________




8)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 160 cents. There are 2 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 Nandini got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $102.80. There are 24 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Swathi has some 5-gram and 10-gram weights. The weights add up to 80 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 8 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: 80 g - 20 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 + 4  = 8 (5-gram weights)

 

 

 

Swathi has 8 five-gram weights and 4 ten-gram weights



2)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 160 cents. There are 5 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 Pavi got

Answer: 14 five-cent coins

Answer: 9 ten-cent coins


SOLUTION 1 :

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

 Step 1: The value of the 5 five-cent coins → 5 x 5
     = 25 cents
 Step 2: 160 cents - 25 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 + 5  = 14 (5-cent coins)

 

 Pavi has 14 five-cent coins and 9 ten-cent coins.



3)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $148.00. There are 5 more 20-cent coins than 50-cent coins.

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

Answer: 215 twenty-cent coins

Answer: 210 fifty-cent coins




SOLUTION 1 :

There are 5 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 5 (20-cent coins) → 5 x 20
     = 100 cents
     = $1.00
 Step 2: $148.00 - $1.00  = $147.00
 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: $147.00 ÷ $0.70 = 210 (50-cent coins)
 Step 5: 210 + 5  = 215 (20-cent coins)

 

 Ponnalagu has 215 twenty-cent coins and 210 fifty-cent coins.



4)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 100 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 5 ten-gram weights

Answer: 10 five-gram weights



SOLUTION 1 :

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

 Step 1: The value of the 5 (5-gram weights) → 5 x 5 g
     = 25 g
 Step 2: 100 g - 25 g  = 75 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 75 g ÷ 15 g = 5 (10-gram weights)
 Step 5: 5 + 5  = 10 (5-gram weights)

 

 

 

Poovazhagi has 10 five-gram weights and 5 ten-gram weights



5)  

Kumutha has some 5-cent and 10-cent coins. The coins add up to 100 cents. There are 8 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 Kumutha got

Answer: 12 five-cent coins

Answer: 4 ten-cent coins


SOLUTION 1 :

There are 8 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 8 five-cent coins → 8 x 5
     = 40 cents
 Step 2: 100 cents - 40 cents  = 60 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: 60 ÷ 15 cents  = 4 (10-cent coins)
  4 + 8  = 12 (5-cent coins)

 

 Kumutha has 12 five-cent coins and 4 ten-cent coins.



6)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $207.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 314 twenty-cent coins

Answer: 290 fifty-cent coins




SOLUTION 1 :

There are 24 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 24 (20-cent coins) → 24 x 20
     = 480 cents
     = $4.80
 Step 2: $207.80 - $4.80  = $203.00
 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: $203.00 ÷ $0.70 = 290 (50-cent coins)
 Step 5: 290 + 24  = 314 (20-cent coins)

 

 Ovini has 314 twenty-cent coins and 290 fifty-cent coins.



7)  

Savithri 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 Savithri 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)

 

 

 

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



8)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 160 cents. There are 2 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 Nandini got

Answer: 12 five-cent coins

Answer: 10 ten-cent coins


SOLUTION 1 :

There are 2 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 2 five-cent coins → 2 x 5
     = 10 cents
 Step 2: 160 cents - 10 cents  = 150 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: 150 ÷ 15 cents  = 10 (10-cent coins)
  10 + 2  = 12 (5-cent coins)

 

 Nandini has 12 five-cent coins and 10 ten-cent coins.



9)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $102.80. There are 24 more 20-cent coins than 50-cent coins.

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

Answer: 164 twenty-cent coins

Answer: 140 fifty-cent coins




SOLUTION 1 :

There are 24 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 24 (20-cent coins) → 24 x 20
     = 480 cents
     = $4.80
 Step 2: $102.80 - $4.80  = $98.00
 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: $98.00 ÷ $0.70 = 140 (50-cent coins)
 Step 5: 140 + 24  = 164 (20-cent coins)

 

 Kumutha has 164 twenty-cent coins and 140 fifty-cent coins.



10)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 7 ten-gram weights

Answer: 9 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: 115 g - 10 g  = 105 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 105 g ÷ 15 g = 7 (10-gram weights)
 Step 5: 7 + 2  = 9 (5-gram weights)

 

 

 

Mithra has 9 five-gram weights and 7 ten-gram weights