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)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 185 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 Tamilselvi got

five-cent coins

ten-cent coins


Answer:_______________




2)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $262.80. There are 19 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:_______________




3)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 205 g. There are 5 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:_______________




4)  

Selvanayaki 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 Selvanayaki got

five-cent coins

ten-cent coins


Answer:_______________




5)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $67.40. There are 22 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:_______________




6)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 150 g. There are 3 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:_______________




7)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 165 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 Savithri got

five-cent coins

ten-cent coins


Answer:_______________




8)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $203.60. There are 3 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 105 g. There are 3 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:_______________




10)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 195 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 Nandini got

five-cent coins

ten-cent coins


Answer:_______________




 

1)  

Tamilselvi has some 5-cent and 10-cent coins. The coins add up to 185 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 Tamilselvi got

Answer: 15 five-cent coins

Answer: 11 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: 185 cents - 20 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 + 4  = 15 (5-cent coins)

 

 Tamilselvi has 15 five-cent coins and 11 ten-cent coins.



2)  

Panimalar has some 20-cent coins and 50-cent coins. The coins add up to $262.80. There are 19 more 20-cent coins than 50-cent coins.

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

Answer: 389 twenty-cent coins

Answer: 370 fifty-cent coins




SOLUTION 1 :

There are 19 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 19 (20-cent coins) → 19 x 20
     = 380 cents
     = $3.80
 Step 2: $262.80 - $3.80  = $259.00
 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: $259.00 ÷ $0.70 = 370 (50-cent coins)
 Step 5: 370 + 19  = 389 (20-cent coins)

 

 Panimalar has 389 twenty-cent coins and 370 fifty-cent coins.



3)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 205 g. There are 5 more 5-gram weights than 10-gram weights.

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

Answer: 12 ten-gram weights

Answer: 17 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: 205 g - 25 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 + 5  = 17 (5-gram weights)

 

 

 

Ovini has 17 five-gram weights and 12 ten-gram weights



4)  

Selvanayaki 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 Selvanayaki 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)

 

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



5)  

Ponnalagu has some 20-cent coins and 50-cent coins. The coins add up to $67.40. There are 22 more 20-cent coins than 50-cent coins.

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

Answer: 112 twenty-cent coins

Answer: 90 fifty-cent coins




SOLUTION 1 :

There are 22 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 22 (20-cent coins) → 22 x 20
     = 440 cents
     = $4.40
 Step 2: $67.40 - $4.40  = $63.00
 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: $63.00 ÷ $0.70 = 90 (50-cent coins)
 Step 5: 90 + 22  = 112 (20-cent coins)

 

 Ponnalagu has 112 twenty-cent coins and 90 fifty-cent coins.



6)  

Ovini has some 5-gram and 10-gram weights. The weights add up to 150 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 9 ten-gram weights

Answer: 12 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: 150 g - 15 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 + 3  = 12 (5-gram weights)

 

 

 

Ovini has 12 five-gram weights and 9 ten-gram weights



7)  

Savithri has some 5-cent and 10-cent coins. The coins add up to 165 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 Savithri got

Answer: 15 five-cent coins

Answer: 9 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: 165 cents - 30 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 + 6  = 15 (5-cent coins)

 

 Savithri has 15 five-cent coins and 9 ten-cent coins.



8)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $203.60. There are 3 more 20-cent coins than 50-cent coins.

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

Answer: 293 twenty-cent coins

Answer: 290 fifty-cent coins




SOLUTION 1 :

There are 3 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 3 (20-cent coins) → 3 x 20
     = 60 cents
     = $0.60
 Step 2: $203.60 - $0.60  = $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 + 3  = 293 (20-cent coins)

 

 Swathi has 293 twenty-cent coins and 290 fifty-cent coins.



9)  

Poovazhagi has some 5-gram and 10-gram weights. The weights add up to 105 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 6 ten-gram weights

Answer: 9 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: 105 g - 15 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 + 3  = 9 (5-gram weights)

 

 

 

Poovazhagi has 9 five-gram weights and 6 ten-gram weights



10)  

Nandini has some 5-cent and 10-cent coins. The coins add up to 195 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 Nandini got

Answer: 15 five-cent coins

Answer: 12 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: 195 cents - 15 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 + 3  = 15 (5-cent coins)

 

 Nandini has 15 five-cent coins and 12 ten-cent coins.