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)  

Poongodi has some 5-cent and 10-cent coins. The coins add up to 220 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 Poongodi got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 70 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:_______________




3)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $216.00. There are 30 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:_______________




4)  

Panimalar 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Amutha 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 Amutha have

ten-gram weights

five-gram weights



Answer:_______________




6)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $217.80. There are 4 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




7)  

Thamarai 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 Thamarai got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 210 g. There are 3 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:_______________




9)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $147.40. There are 2 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:_______________




10)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 105 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 Pavi got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Poongodi has some 5-cent and 10-cent coins. The coins add up to 220 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 Poongodi got

Answer: 20 five-cent coins

Answer: 12 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: 220 cents - 40 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 + 8  = 20 (5-cent coins)

 

 Poongodi has 20 five-cent coins and 12 ten-cent coins.



2)  

Jeevini has some 5-gram and 10-gram weights. The weights add up to 70 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: 4 ten-gram weights

Answer: 6 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: 70 g - 10 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 + 2  = 6 (5-gram weights)

 

 

 

Jeevini has 6 five-gram weights and 4 ten-gram weights



3)  

Chithra has some 20-cent coins and 50-cent coins. The coins add up to $216.00. There are 30 more 20-cent coins than 50-cent coins.

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

Answer: 330 twenty-cent coins

Answer: 300 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: $216.00 - $6.00  = $210.00
 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: $210.00 ÷ $0.70 = 300 (50-cent coins)
 Step 5: 300 + 30  = 330 (20-cent coins)

 

 Chithra has 330 twenty-cent coins and 300 fifty-cent coins.



4)  

Panimalar 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 Panimalar 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)

 

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



5)  

Amutha 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 Amutha 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)

 

 

 

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



6)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $217.80. There are 4 more 20-cent coins than 50-cent coins.

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

Answer: 314 twenty-cent coins

Answer: 310 fifty-cent coins




SOLUTION 1 :

There are 4 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 4 (20-cent coins) → 4 x 20
     = 80 cents
     = $0.80
 Step 2: $217.80 - $0.80  = $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 + 4  = 314 (20-cent coins)

 

 Panimalar has 314 twenty-cent coins and 310 fifty-cent coins.



7)  

Thamarai 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 Thamarai 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)

 

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



8)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 210 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 13 ten-gram weights

Answer: 16 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: 210 g - 15 g  = 195 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 195 g ÷ 15 g = 13 (10-gram weights)
 Step 5: 13 + 3  = 16 (5-gram weights)

 

 

 

Mithra has 16 five-gram weights and 13 ten-gram weights



9)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $147.40. There are 2 more 20-cent coins than 50-cent coins.

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

Answer: 212 twenty-cent coins

Answer: 210 fifty-cent coins




SOLUTION 1 :

There are 2 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 2 (20-cent coins) → 2 x 20
     = 40 cents
     = $0.40
 Step 2: $147.40 - $0.40  = $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 + 2  = 212 (20-cent coins)

 

 Ponnalagu has 212 twenty-cent coins and 210 fifty-cent coins.



10)  

Pavi has some 5-cent and 10-cent coins. The coins add up to 105 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 Pavi got

Answer: 11 five-cent coins

Answer: 5 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: 105 cents - 30 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 + 6  = 11 (5-cent coins)

 

 Pavi has 11 five-cent coins and 5 ten-cent coins.