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)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 165 cents. There are 3 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 Ovini got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $115.20. There are 16 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:_______________




3)  

Mithra 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 Mithra have

ten-gram weights

five-gram weights



Answer:_______________




4)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 105 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:_______________




5)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $142.20. There are 11 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




6)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




7)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 140 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $200.00. There are 20 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)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




10)  

Kumutha has some 5-cent and 10-cent coins. The coins add up to 215 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 Kumutha got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 165 cents. There are 3 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 Ovini got

Answer: 13 five-cent coins

Answer: 10 ten-cent coins


SOLUTION 1 :

There are 3 more 5-cent coins then 10-cent coins.

 Step 1: The value of the 3 five-cent coins → 3 x 5
     = 15 cents
 Step 2: 165 cents - 15 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 + 3  = 13 (5-cent coins)

 

 Ovini has 13 five-cent coins and 10 ten-cent coins.



2)  

Ovini has some 20-cent coins and 50-cent coins. The coins add up to $115.20. There are 16 more 20-cent coins than 50-cent coins.

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

Answer: 176 twenty-cent coins

Answer: 160 fifty-cent coins




SOLUTION 1 :

There are 16 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 16 (20-cent coins) → 16 x 20
     = 320 cents
     = $3.20
 Step 2: $115.20 - $3.20  = $112.00
 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: $112.00 ÷ $0.70 = 160 (50-cent coins)
 Step 5: 160 + 16  = 176 (20-cent coins)

 

 Ovini has 176 twenty-cent coins and 160 fifty-cent coins.



3)  

Mithra 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 Mithra 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)

 

 

 

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



4)  

Amutha has some 5-cent and 10-cent coins. The coins add up to 105 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: 13 five-cent coins

Answer: 4 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: 105 cents - 45 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 + 9  = 13 (5-cent coins)

 

 Amutha has 13 five-cent coins and 4 ten-cent coins.



5)  

Thamarai has some 20-cent coins and 50-cent coins. The coins add up to $142.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 211 twenty-cent coins

Answer: 200 fifty-cent coins




SOLUTION 1 :

There are 11 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 11 (20-cent coins) → 11 x 20
     = 220 cents
     = $2.20
 Step 2: $142.20 - $2.20  = $140.00
 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: $140.00 ÷ $0.70 = 200 (50-cent coins)
 Step 5: 200 + 11  = 211 (20-cent coins)

 

 Thamarai has 211 twenty-cent coins and 200 fifty-cent coins.



6)  

Poongodi has some 5-gram and 10-gram weights. The weights add up to 140 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 8 ten-gram weights

Answer: 12 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: 140 g - 20 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 + 4  = 12 (5-gram weights)

 

 

 

Poongodi has 12 five-gram weights and 8 ten-gram weights



7)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 140 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 Tamilselvi got

Answer: 16 five-cent coins

Answer: 6 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: 140 cents - 50 cents  = 90 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: 90 ÷ 15 cents  = 6 (10-cent coins)
  6 + 10  = 16 (5-cent coins)

 

 Tamilselvi has 16 five-cent coins and 6 ten-cent coins.



8)  

Ramani has some 20-cent coins and 50-cent coins. The coins add up to $200.00. There are 20 more 20-cent coins than 50-cent coins.

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

Answer: 300 twenty-cent coins

Answer: 280 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: $200.00 - $4.00  = $196.00
 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: $196.00 ÷ $0.70 = 280 (50-cent coins)
 Step 5: 280 + 20  = 300 (20-cent coins)

 

 Ramani has 300 twenty-cent coins and 280 fifty-cent coins.



9)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 110 g. There are 4 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 10 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: 110 g - 20 g  = 90 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 90 g ÷ 15 g = 6 (10-gram weights)
 Step 5: 6 + 4  = 10 (5-gram weights)

 

 

 

Ovini has 10 five-gram weights and 6 ten-gram weights



10)  

Kumutha has some 5-cent and 10-cent coins. The coins add up to 215 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 Kumutha got

Answer: 17 five-cent coins

Answer: 13 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: 215 cents - 20 cents  = 195 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: 195 ÷ 15 cents  = 13 (10-cent coins)
  13 + 4  = 17 (5-cent coins)

 

 Kumutha has 17 five-cent coins and 13 ten-cent coins.