DOUBLES WORD PROBLEMS

Double facts are additions in which a number is added to itself.

Examples : 

1 + 1, 2 + 2 

Internalizing double facts are helpful building blocks in developing fluency in adding single digit numbers.

Problem 1 :

David has 10 candies. Daniel has the double of what David has. How many candies does Daniel have ?

Solution :

Number of candies that Daniel has

= Double of what David has

= 10 + 10

= 20

Problem 2 :

John has 12 cookies. Jose has the double of what John has. How many candies does Daniel have ?

Solution :

Number of candies that Jose has

= Double of what John has

= 12 + 12

= 24

Problem 3 :

Allen has 12 boxes of cookies. Lily has 4 more than the double of Allen has.How many boxes does Lily have ?

Solution :

Number of boxes that Lily has

= 4 more than the double of what Allen has

= 12 + 12 + 4

= 28

Problem 4 :

Joshua traveled 8 miles and Peter traveled the double of Joshua. How many miles did Peter travel ?

Solution :

Number of miles that Peter traveled

= Double of Joshua traveled

= 8 + 8

= 16

Problem 5 :

Ethan has 4 pizzas boxes of cookies. Antony has 2 less than the double of what Ethan has. 

Solution :

Number of pizzas that Antony has 

= 2 less than the double of what Ethan has

= 4 + 4 - 2

= 6

Problem 6 :

Ryan traveled 8 miles and James traveled 3 miles more than the double of Ryan. How many miles did James travel ?

Solution :

Number of miles that James traveled is

= 3 miles more than the double of James

= 8 + 8 + 3

= 19

Problem 7 :

Jonathan has 12 pencils. Samuel has 7 less than the double of Jonathan has. How many pencils does Samuel have ?

Solution :

Number of candies that Samuel has

= Double of what Jonathan has

= 12 + 12 - 7

= 24 - 7

= 17

Problem 8 :

Dylan is 7 years old. Benjamin's age is 3 years more than the double of Dylan's age. Find the age of Benjamin. 

Solution :

Age of Benjamin is

= 3 years more than the double of Dylan's age

= 7 + 7 + 3

= 17 years

Problem 9 :

Logan has $13. Brandon has $7 less than the double of Logan has. How much money does Brandon have ?

Solution :

Money that Brandon has

$7 less than the double of Logan has

= 13 + 13 - 7

= 26 - 7

= $19

Problem 10 :

In a game Jackson has scored 15 points. Luke has scored 14 points less than the double of Jackson. Who is the winner ?

Solution :

Points scored by Jackson = 15 ----(1)

Points scored by Luke is

= 12 points less than the double of Jackson

= 15 + 15 - 14

= 30 - 14

= 16 ----(2)

Comparing (1) and (2), Luke has scored more points than Jackson.

So, Luke is the winner. 

Ask questions such as those below on a frequent basis. The answers could be oral, or the child may hold up a card with the number on it.

Problem 11 :

Double 15.

Solution :

Double of 15, then 2(15)

= 30

Problem 12 :

What are two twenty fives?

Solution :

Given number = 25

= 24 + 1

= 2 (12) + 1

So, 12 two's are there in 25.

Problem 13 :

One bar of chocolate cost 35p. What would two bars cost?

Solution :

Cost of one chocolate = 35 pences

Cost of two bars = 2(35)

= 70 pences

Problem 14 :

What is twice 16 ?

Solution :

Given is 16

Twice of 16, then 2(16)

= 32

Problem 15 :

What is twice 50 ?

Solution :

Given cost = 50

Twice of 50, then 2(50)

= 100

Problem 16 :

What is half of 14 ?

Solution :

Given number = 14

Half of 14, then 14/2

= 7

Problem 17 :

1/2 of 18 ?

Solution :

Given number = 18

Half of 18, then 18/2

= 9

Problem 18 :

Jane spent half of her 90p pocket money. How much did she spend?

Solution :

Given amount = 90 pences

Half of the money = 90/2

= 56

So, she spend 45 pences.

Problem 19 :

Two mugs cost £20. What would one mug cost?

Solution :

Cost of two mugs = 20

Cost of one mug = 20/2

= 10

Problem 20 :

Divide 40 in half.

Solution :

Given number = 40

Half of it = 40/2

= 20

Problem 21 :

Divide 50 by two.

Solution :

Given number = 50

Dividing the given number by two = 50/2

= 25

So, half of the given number is 25

Problem 22 :

Divide 14 into two.

Solution :

Given number = 14

Divide it by 2, then 14/2

= 7

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