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)  

Amutha 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 Amutha have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $290.80. There are 19 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




3)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 230 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 Keerthi got

five-cent coins

ten-cent coins


Answer:_______________




4)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 75 g. There are 3 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)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $206.80. There are 19 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:_______________




6)  

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:_______________




7)  

Pavi 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 Pavi have

ten-gram weights

five-gram weights



Answer:_______________




8)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $92.40. There are 7 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




9)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 75 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 Panimalar got

five-cent coins

ten-cent coins


Answer:_______________




10)  

Panimalar has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 2 more 5-gram weights than 10-gram weights.

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

ten-gram weights

five-gram weights



Answer:_______________




 

1)  

Amutha 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 Amutha 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)

 

 

 

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



2)  

Nandini has some 20-cent coins and 50-cent coins. The coins add up to $290.80. There are 19 more 20-cent coins than 50-cent coins.

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

Answer: 429 twenty-cent coins

Answer: 410 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: $290.80 - $3.80  = $287.00
 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: $287.00 ÷ $0.70 = 410 (50-cent coins)
 Step 5: 410 + 19  = 429 (20-cent coins)

 

 Nandini has 429 twenty-cent coins and 410 fifty-cent coins.



3)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 230 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 Keerthi got

Answer: 22 five-cent coins

Answer: 12 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: 230 cents - 50 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 + 10  = 22 (5-cent coins)

 

 Keerthi has 22 five-cent coins and 12 ten-cent coins.



4)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 75 g. There are 3 more 5-gram weights than 10-gram weights.

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

Answer: 4 ten-gram weights

Answer: 7 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: 75 g - 15 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 + 3  = 7 (5-gram weights)

 

 

 

Kumutha has 7 five-gram weights and 4 ten-gram weights



5)  

Swathi has some 20-cent coins and 50-cent coins. The coins add up to $206.80. There are 19 more 20-cent coins than 50-cent coins.

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

Answer: 309 twenty-cent coins

Answer: 290 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: $206.80 - $3.80  = $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 + 19  = 309 (20-cent coins)

 

 Swathi has 309 twenty-cent coins and 290 fifty-cent coins.



6)  

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.



7)  

Pavi 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 Pavi 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)

 

 

 

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



8)  

Indra has some 20-cent coins and 50-cent coins. The coins add up to $92.40. There are 7 more 20-cent coins than 50-cent coins.

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

Answer: 137 twenty-cent coins

Answer: 130 fifty-cent coins




SOLUTION 1 :

There are 7 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 7 (20-cent coins) → 7 x 20
     = 140 cents
     = $1.40
 Step 2: $92.40 - $1.40  = $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 + 7  = 137 (20-cent coins)

 

 Indra has 137 twenty-cent coins and 130 fifty-cent coins.



9)  

Panimalar has some 5-cent and 10-cent coins. The coins add up to 75 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 Panimalar got

Answer: 7 five-cent coins

Answer: 4 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: 75 cents - 15 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 + 3  = 7 (5-cent coins)

 

 Panimalar has 7 five-cent coins and 4 ten-cent coins.



10)  

Panimalar has some 5-gram and 10-gram weights. The weights add up to 115 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 7 ten-gram weights

Answer: 9 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: 115 g - 10 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 + 2  = 9 (5-gram weights)

 

 

 

Panimalar has 9 five-gram weights and 7 ten-gram weights