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)  

Chellamal 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 Chellamal have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $222.00. There are 25 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 185 cents. There are 10 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 Chellamal got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




5)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $254.40. There are 12 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 185 cents. There are 7 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 Ponnalagu got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Thamarai has some 5-gram and 10-gram weights. The weights add up to 120 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $251.00. There are 30 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 210 cents. There are 6 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Nandini has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Chellamal 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 Chellamal 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)

 

 

 

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



2)  

Haritha has some 20-cent coins and 50-cent coins. The coins add up to $222.00. There are 25 more 20-cent coins than 50-cent coins.

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

Answer: 335 twenty-cent coins

Answer: 310 fifty-cent coins




SOLUTION 1 :

There are 25 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 25 (20-cent coins) 25 x 20
     = 500 cents
     = $5.00
 Step 2: $222.00 - $5.00  = $217.00
 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: $217.00 ÷ $0.70 = 310 (50-cent coins)
 Step 5: 310 + 25  = 335 (20-cent coins)

 

 Haritha has 335 twenty-cent coins and 310 fifty-cent coins.



3)  

Chellamal has some 5-cent and 10-cent coins. The coins add up to 185 cents. There are 10 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 Chellamal got

Answer: 19 five-cent coins

Answer: 9 ten-cent coins


SOLUTION 1 :

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

 Step 1: The value of the 10 five-cent coins 10 x 5
     = 50 cents
 Step 2: 185 cents - 50 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 + 10  = 19 (5-cent coins)

 

 Chellamal has 19 five-cent coins and 9 ten-cent coins.



4)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 190 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 12 ten-gram weights

Answer: 14 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: 190 g - 10 g  = 180 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 180 g ÷ 15 g = 12 (10-gram weights)
 Step 5: 12 + 2  = 14 (5-gram weights)

 

 

 

Jeevini has 14 five-gram weights and 12 ten-gram weights



5)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $254.40. There are 12 more 20-cent coins than 50-cent coins.

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

Answer: 372 twenty-cent coins

Answer: 360 fifty-cent coins




SOLUTION 1 :

There are 12 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 12 (20-cent coins) 12 x 20
     = 240 cents
     = $2.40
 Step 2: $254.40 - $2.40  = $252.00
 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: $252.00 ÷ $0.70 = 360 (50-cent coins)
 Step 5: 360 + 12  = 372 (20-cent coins)

 

 Amutha has 372 twenty-cent coins and 360 fifty-cent coins.



6)  

Ponnalagu has some 5-cent and 10-cent coins. The coins add up to 185 cents. There are 7 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 Ponnalagu got

Answer: 17 five-cent coins

Answer: 10 ten-cent coins


SOLUTION 1 :

There are 7 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 7 five-cent coins 7 x 5
     = 35 cents
 Step 2: 185 cents - 35 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 + 7  = 17 (5-cent coins)

 

 Ponnalagu has 17 five-cent coins and 10 ten-cent coins.



7)  

Thamarai has some 5-gram and 10-gram weights. The weights add up to 120 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 7 ten-gram weights

Answer: 10 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: 120 g - 15 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 + 3  = 10 (5-gram weights)

 

 

 

Thamarai has 10 five-gram weights and 7 ten-gram weights



8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $251.00. There are 30 more 20-cent coins than 50-cent coins.

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

Answer: 380 twenty-cent coins

Answer: 350 fifty-cent coins




SOLUTION 1 :

There are 30 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 30 (20-cent coins) 30 x 20
     = 600 cents
     = $6.00
 Step 2: $251.00 - $6.00  = $245.00
 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: $245.00 ÷ $0.70 = 350 (50-cent coins)
 Step 5: 350 + 30  = 380 (20-cent coins)

 

 Ramani has 380 twenty-cent coins and 350 fifty-cent coins.



9)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 210 cents. There are 6 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 Tamilselvi got

Answer: 18 five-cent coins

Answer: 12 ten-cent coins


SOLUTION 1 :

There are 6 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 6 five-cent coins 6 x 5
     = 30 cents
 Step 2: 210 cents - 30 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 + 6  = 18 (5-cent coins)

 

 Tamilselvi has 18 five-cent coins and 12 ten-cent coins.



10)  

Nandini has some 5-gram and 10-gram weights. The weights add up to 175 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 11 ten-gram weights

Answer: 13 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: 175 g - 10 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 + 2  = 13 (5-gram weights)

 

 

 

Nandini has 13 five-gram weights and 11 ten-gram weights