Number, NAPX-p107088v02 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

685

Question

The product of three different positive whole numbers is 48.

What is the smallest possible sum of the three different numbers?

Worked Solution

Testing possible combinations:

48 = 24 × 2 × 1, sum = 27

48 = 12 × 4 × 1, sum = 17

48 = 8 × 6 × 1, sum = 15

48 = 8 × 3 × 2, sum = 13

48 = 6 × 4 × 2, sum = 12

∴\therefore The smallest possible sum is 12, made up of 6, 4 and 2 OR .

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 48. What is the smallest possible sum of the three different numbers?
workedSolution
Testing possible combinations: 48 = 24 × 2 × 1, sum = 27 48 = 12 × 4 × 1, sum = 17 48 = 8 × 6 × 1, sum = 15 48 = 8 × 3 × 2, sum = 13 48 = 6 × 4 × 2, sum = 12 $\therefore$ The smallest possible sum is {{{correctAnswer0}}}, made up of 6, 4 and 2 OR .
correctAnswer0
12
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012

Variant 1

DifficultyLevel

697

Question

The product of three different positive whole numbers is 60.

What is smallest possible sum of the three different numbers?

Worked Solution

Testing some possible combinations:

60 = 30 × 2 × 1, sum = 33

60 = 10 × 3 × 2, sum = 15

60 = 6 × 5 × 2, sum = 13

60 = 5 × 4 × 3, sum = 12

∴\therefore The smallest possible numbers are 5, 4 and 3, with a sum of 12.

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 60. What is smallest possible sum of the three different numbers?
workedSolution
Testing some possible combinations: 60 = 30 × 2 × 1, sum = 33 60 = 10 × 3 × 2, sum = 15 60 = 6 × 5 × 2, sum = 13 60 = 5 × 4 × 3, sum = 12 $\therefore$ The smallest possible numbers are 5, 4 and 3, with a sum of {{{correctAnswer0}}}.
correctAnswer0
12
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012

Variant 2

DifficultyLevel

693

Question

The product of three different positive whole numbers is 56.

What is smallest possible sum of the three different numbers?

Worked Solution

Testing some possible combinations:

56 = 28 × 2 × 1, sum = 31

56 = 14 × 4 × 1, sum = 19

56 = 8 × 7 × 1, sum = 16

56 = 7 × 4 × 2, sum = 13

∴\therefore The smallest possible numbers are 7, 4 and 2, with a sum of 13.

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 56. What is smallest possible sum of the three different numbers?
workedSolution
Testing some possible combinations: 56 = 28 × 2 × 1, sum = 31 56 = 14 × 4 × 1, sum = 19 56 = 8 × 7 × 1, sum = 16 56 = 7 × 4 × 2, sum = 13 $\therefore$ The smallest possible numbers are 7, 4 and 2, with a sum of {{{correctAnswer0}}}.
correctAnswer0
13
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer013

Variant 3

DifficultyLevel

690

Question

The product of three different positive whole numbers is 42.

What is smallest possible sum of the three different numbers?

Worked Solution

Testing some possible combinations:

42 = 21 × 2 × 1, sum = 24

42 = 14 × 3 × 1, sum = 18

42 = 7 × 6 × 1, sum = 14

42 = 7 × 3 × 2, sum = 12

∴\therefore The smallest possible numbers are 7, 3 and 2, with a sum of 12.

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 42. What is smallest possible sum of the three different numbers?
workedSolution
Testing some possible combinations: 42 = 21 × 2 × 1, sum = 24 42 = 14 × 3 × 1, sum = 18 42 = 7 × 6 × 1, sum = 14 42 = 7 × 3 × 2, sum = 12 $\therefore$ The smallest possible numbers are 7, 3 and 2, with a sum of {{{correctAnswer0}}}.
correctAnswer0
12
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer012

Variant 4

DifficultyLevel

688

Question

The product of three different positive whole numbers is 36.

What is smallest possible sum of the three different numbers?

Worked Solution

Testing some possible combinations:

36 = 18 × 2 × 1, sum = 21

36 = 12 × 3 × 1, sum = 16

36 = 9 × 4 × 1, sum = 14

36 = 6 × 3 × 2, sum = 11

∴\therefore The smallest possible numbers are 6, 3 and 2, with a sum of 11.

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 36. What is smallest possible sum of the three different numbers?
workedSolution
Testing some possible combinations: 36 = 18 × 2 × 1, sum = 21 36 = 12 × 3 × 1, sum = 16 36 = 9 × 4 × 1, sum = 14 36 = 6 × 3 × 2, sum = 11 $\therefore$ The smallest possible numbers are 6, 3 and 2, with a sum of {{{correctAnswer0}}}.
correctAnswer0
11
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer011

Variant 5

DifficultyLevel

688

Question

The product of three different positive whole numbers is 40.

What is smallest possible sum of the three different numbers?

Worked Solution

Testing some possible combinations:

40 = 20 × 2 × 1, sum = 23

40 = 10 × 4 × 1, sum = 15

40 = 8 × 5 × 1, sum = 14

40 = 5 × 4 × 2, sum = 11

∴\therefore The smallest possible numbers are 5, 4 and 2, with a sum of 11.

Question Type

Answer Box

Variables

Variable nameVariable value
question
The product of three different positive whole numbers is 40. What is smallest possible sum of the three different numbers?
workedSolution
Testing some possible combinations: 40 = 20 × 2 × 1, sum = 23 40 = 10 × 4 × 1, sum = 15 40 = 8 × 5 × 1, sum = 14 40 = 5 × 4 × 2, sum = 11 $\therefore$ The smallest possible numbers are 5, 4 and 2, with a sum of {{{correctAnswer0}}}.
correctAnswer0
11
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer011

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