Number_692-03-2026

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

696

Question

A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:

Dose for child = (Dose for adult ×\times mass of child) ÷\div 70

A child of mass 42 kg is given a dose of 12 mL. What is the adult dose of this medicine?

Worked Solution
Dose for child = (Dose for adult ×\times 42) ÷\div 70
12 = (Dose for adult ×\times 42) ÷\div 70
Dose for adult = (12 ×\times 70) ÷\div 42
= 6×2×7×106×7\dfrac{6 \times 2 \times 7 \times 10}{6 \times 7}
= 2 ×\times 10
= 20 mL

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is: Dose for child = (Dose for adult $\times$ mass of child) $\div$ 70 A child of mass 42 kg is given a dose of 12 mL. What is the adult dose of this medicine?
workedSolution
| | | | --------------------: | ----------------------------------------- | | Dose for child | \= (Dose for adult $\times$ 42) $\div$ 70 | | | | | 12 | \= (Dose for adult $\times$ 42) $\div$ 70 | | | | | Dose for adult | \= (12 $\times$ 70) $\div$ 42 | | | \= $\dfrac{6 \times 2 \times 7 \times 10}{6 \times 7}$ | | | \= 2 $\times$ 10 | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
20
prefix0
suffix0
mL

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
correctAnswer020

mL

Variant 1

DifficultyLevel

692

Question

A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:

Dose for child = (Dose for adult ×\times mass of child) ÷\div 70

What is the correct dose for a child of mass 35 kg if the adult dose is 20 mL?

Worked Solution
Dose for child = (20 ×\times 35) ÷\div 70
= 4×5×5×72×5×7\dfrac{4 \times 5 \times 5 \times 7}{2 \times 5 \times 7}
= 2 ×\times 5
= 10 mL

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is: Dose for child = (Dose for adult $\times$ mass of child) $\div$ 70 What is the correct dose for a child of mass 35 kg if the adult dose is 20 mL?
workedSolution
| | | | --------------------: | -------------------------------------- | | Dose for child | \= (20 $\times$ 35) $\div$ 70 | | | \= $\dfrac{4 \times 5 \times 5 \times 7}{2 \times 5 \times 7}$ | | | \= 2 $\times$ 5 | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
10
prefix0
suffix0
mL

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
correctAnswer010

mL

Variant 2

DifficultyLevel

693

Question

A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:

Dose for child = (Dose for adult ×\times mass of child) ÷\div 70

What is the correct dose for a child of mass 49 kg if the adult dose is 30 mL?

Worked Solution
Dose for child = (30 ×\times 49) ÷\div 70
= 3×10×7×77×10\dfrac{3 \times 10 \times 7 \times 7}{7 \times 10}
= 3 ×\times 7
= 21 mL

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is: Dose for child = (Dose for adult $\times$ mass of child) $\div$ 70 What is the correct dose for a child of mass 49 kg if the adult dose is 30 mL?
workedSolution
| | | | --------------------: | -------------------------------------- | | Dose for child | \= (30 $\times$ 49) $\div$ 70 | | | \= $\dfrac{3 \times 10 \times 7 \times 7}{7 \times 10}$ | | | \= 3 $\times$ 7 | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
21
prefix0
suffix0
mL

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
correctAnswer021

mL

Variant 3

DifficultyLevel

694

Question

A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:

Dose for child = (Dose for adult ×\times mass of child) ÷\div 70

A child receives a dose of 10 mL. The adult dose is 25 mL. What is the mass of the child?

Worked Solution
Dose for child = (25 ×\times mass of child) ÷\div 70
10 = (25 ×\times mass of child) ÷\div 70
Mass of child = (10 ×\times 70) ÷\div 25
= 2×5×7×2×55×5\dfrac{2 \times 5 \times 7 \times 2 \times 5}{5 \times 5}
= 2 ×\times 7 ×\times 2
= 28 mL

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is: Dose for child = (Dose for adult $\times$ mass of child) $\div$ 70 A child receives a dose of 10 mL. The adult dose is 25 mL. What is the mass of the child?
workedSolution
| | | | --------------------: | ----------------------------------------- | | Dose for child | \= (25 $\times$ mass of child) $\div$ 70 | | | | | 10 | \= (25 $\times$ mass of child) $\div$ 70 | | | | | Mass of child | \= (10 $\times$ 70) $\div$ 25 | | | \= $\dfrac{2 \times 5 \times 7 \times 2 \times 5}{5 \times 5}$ | | | \= 2 $\times$ 7 $\times$ 2 | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
28
prefix0
suffix0
mL

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
correctAnswer028

mL

Variant 4

DifficultyLevel

695

Question

A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:

Dose for child = (Dose for adult ×\times mass of child) ÷\div 70

A child of mass 56 kg is given a dose of 8 mL. What is the adult dose of this medicine?

Worked Solution
Dose for child = (Dose for adult ×\times 56) ÷\div 70
8 = (Dose for adult ×\times 56) ÷\div 70
Dose for adult = (8 ×\times 70) ÷\div 56
= 8×7×108×7\dfrac{8 \times 7 \times 10}{8 \times 7}
= 10 mL

Question Type

Answer Box

Variables

Variable nameVariable value
question
A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is: Dose for child = (Dose for adult $\times$ mass of child) $\div$ 70 A child of mass 56 kg is given a dose of 8 mL. What is the adult dose of this medicine?
workedSolution
| | | | --------------------: | ----------------------------------------- | | Dose for child | \= (Dose for adult $\times$ 56) $\div$ 70 | | | | | 8 | \= (Dose for adult $\times$ 56) $\div$ 70 | | | | | Dose for adult | \= (8 $\times$ 70) $\div$ 56 | | | \= $\dfrac{8 \times 7 \times 10}{8 \times 7}$ | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
10
prefix0
suffix0
mL

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
correctAnswer010

mL

Tags

  • staging_suejones