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)  

Indra has some 5-gram and 10-gram weights. The weights add up to 90 g. There are 3 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




2)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $296.80. There are 14 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:_______________




3)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 85 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 Haritha got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 200 g. There are 4 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:_______________




5)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $96.00. There are 25 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 135 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 Keerthi got

five-cent coins

ten-cent coins


Answer:_______________




7)  

Selvanayaki has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




8)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $78.60. There are 8 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Parveen has some 5-cent and 10-cent coins. The coins add up to 200 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 Parveen got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Haritha 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 Haritha have

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Indra has some 5-gram and 10-gram weights. The weights add up to 90 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 5 ten-gram weights

Answer: 8 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: 90 g - 15 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 + 3  = 8 (5-gram weights)

 

 

 

Indra has 8 five-gram weights and 5 ten-gram weights



2)  

Amutha has some 20-cent coins and 50-cent coins. The coins add up to $296.80. There are 14 more 20-cent coins than 50-cent coins.

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

Answer: 434 twenty-cent coins

Answer: 420 fifty-cent coins




SOLUTION 1 :

There are 14 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 14 (20-cent coins) → 14 x 20
     = 280 cents
     = $2.80
 Step 2: $296.80 - $2.80  = $294.00
 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: $294.00 ÷ $0.70 = 420 (50-cent coins)
 Step 5: 420 + 14  = 434 (20-cent coins)

 

 Amutha has 434 twenty-cent coins and 420 fifty-cent coins.



3)  

Haritha has some 5-cent and 10-cent coins. The coins add up to 85 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 Haritha got

Answer: 9 five-cent coins

Answer: 4 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: 85 cents - 25 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 + 5  = 9 (5-cent coins)

 

 Haritha has 9 five-cent coins and 4 ten-cent coins.



4)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 200 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 12 ten-gram weights

Answer: 16 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: 200 g - 20 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 + 4  = 16 (5-gram weights)

 

 

 

Kumutha has 16 five-gram weights and 12 ten-gram weights



5)  

Tulasi has some 20-cent coins and 50-cent coins. The coins add up to $96.00. There are 25 more 20-cent coins than 50-cent coins.

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

Answer: 155 twenty-cent coins

Answer: 130 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: $96.00 - $5.00  = $91.00
 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: $91.00 ÷ $0.70 = 130 (50-cent coins)
 Step 5: 130 + 25  = 155 (20-cent coins)

 

 Tulasi has 155 twenty-cent coins and 130 fifty-cent coins.



6)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 135 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 Keerthi got

Answer: 13 five-cent coins

Answer: 7 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: 135 cents - 30 cents  = 105 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: 105 ÷ 15 cents  = 7 (10-cent coins)
  7 + 6  = 13 (5-cent coins)

 

 Keerthi has 13 five-cent coins and 7 ten-cent coins.



7)  

Selvanayaki has some 5-gram and 10-gram weights. The weights add up to 95 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 5 ten-gram weights

Answer: 9 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: 95 g - 20 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 + 4  = 9 (5-gram weights)

 

 

 

Selvanayaki has 9 five-gram weights and 5 ten-gram weights



8)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $78.60. There are 8 more 20-cent coins than 50-cent coins.

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

Answer: 118 twenty-cent coins

Answer: 110 fifty-cent coins




SOLUTION 1 :

There are 8 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 8 (20-cent coins) → 8 x 20
     = 160 cents
     = $1.60
 Step 2: $78.60 - $1.60  = $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 + 8  = 118 (20-cent coins)

 

 Chithra has 118 twenty-cent coins and 110 fifty-cent coins.



9)  

Parveen has some 5-cent and 10-cent coins. The coins add up to 200 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 Parveen got

Answer: 18 five-cent coins

Answer: 11 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: 200 cents - 35 cents  = 165 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: 165 ÷ 15 cents  = 11 (10-cent coins)
  11 + 7  = 18 (5-cent coins)

 

 Parveen has 18 five-cent coins and 11 ten-cent coins.



10)  

Haritha 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 Haritha 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)

 

 

 

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