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)  

Pavi 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 Pavi have

ten-gram weights

five-gram weights



Answer:_______________




2)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 90 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:_______________




3)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $166.60. There are 28 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




4)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 180 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:_______________




5)  

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

five-cent coins

ten-cent coins


Answer:_______________




6)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $268.20. There are 11 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




7)  

Nandini 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 Nandini have

ten-gram weights

five-gram weights



Answer:_______________




8)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 100 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 Ovini got

five-cent coins

ten-cent coins


Answer:_______________




9)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $109.00. There are 20 more 20-cent coins than 50-cent coins.

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

twenty-cent coins

fifty-cent coins




Answer:_______________




10)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 205 g. There are 2 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:_______________




 

1)  

Pavi 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 Pavi 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)

 

 

 

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



2)  

Keerthi has some 5-cent and 10-cent coins. The coins add up to 90 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: 10 five-cent coins

Answer: 4 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: 90 cents - 30 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 + 6  = 10 (5-cent coins)

 

 Keerthi has 10 five-cent coins and 4 ten-cent coins.



3)  

Mithra has some 20-cent coins and 50-cent coins. The coins add up to $166.60. There are 28 more 20-cent coins than 50-cent coins.

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

Answer: 258 twenty-cent coins

Answer: 230 fifty-cent coins




SOLUTION 1 :

There are 28 more 20-cent coins than 50-cent coins.

 Step 1: The value of the 28 (20-cent coins) → 28 x 20
     = 560 cents
     = $5.60
 Step 2: $166.60 - $5.60  = $161.00
 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: $161.00 ÷ $0.70 = 230 (50-cent coins)
 Step 5: 230 + 28  = 258 (20-cent coins)

 

 Mithra has 258 twenty-cent coins and 230 fifty-cent coins.



4)  

Mithra has some 5-gram and 10-gram weights. The weights add up to 180 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: 11 ten-gram weights

Answer: 14 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: 180 g - 15 g  = 165 g
 Step 3: 5 g + 10 g  = 15 g (1 set)
 Step 4: 165 g ÷ 15 g = 11 (10-gram weights)
 Step 5: 11 + 3  = 14 (5-gram weights)

 

 

 

Mithra has 14 five-gram weights and 11 ten-gram weights



5)  

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

Answer: 21 five-cent coins

Answer: 11 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: 215 cents - 50 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 + 10  = 21 (5-cent coins)

 

 Haritha has 21 five-cent coins and 11 ten-cent coins.



6)  

Pavi has some 20-cent coins and 50-cent coins. The coins add up to $268.20. There are 11 more 20-cent coins than 50-cent coins.

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

Answer: 391 twenty-cent coins

Answer: 380 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: $268.20 - $2.20  = $266.00
 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: $266.00 ÷ $0.70 = 380 (50-cent coins)
 Step 5: 380 + 11  = 391 (20-cent coins)

 

 Pavi has 391 twenty-cent coins and 380 fifty-cent coins.



7)  

Nandini 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 Nandini 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)

 

 

 

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



8)  

Ovini has some 5-cent and 10-cent coins. The coins add up to 100 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 Ovini got

Answer: 12 five-cent coins

Answer: 4 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: 100 cents - 40 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 + 8  = 12 (5-cent coins)

 

 Ovini has 12 five-cent coins and 4 ten-cent coins.



9)  

Kumutha has some 20-cent coins and 50-cent coins. The coins add up to $109.00. There are 20 more 20-cent coins than 50-cent coins.

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

Answer: 170 twenty-cent coins

Answer: 150 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: $109.00 - $4.00  = $105.00
 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: $105.00 ÷ $0.70 = 150 (50-cent coins)
 Step 5: 150 + 20  = 170 (20-cent coins)

 

 Kumutha has 170 twenty-cent coins and 150 fifty-cent coins.



10)  

Kumutha has some 5-gram and 10-gram weights. The weights add up to 205 g. There are 2 more 5-gram weights than 10-gram weights.

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

Answer: 13 ten-gram weights

Answer: 15 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: 205 g - 10 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 + 2  = 15 (5-gram weights)

 

 

 

Kumutha has 15 five-gram weights and 13 ten-gram weights