Number, NAPX9-TLF-CA25 SA v3

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

685

Question

Peter measured the diameter of 2 coins and recorded his measurements in the table below.

Coin Diameter
$1 25 millimetres
20c 1181\frac{1}{8} inch


One inch equals 25.4 millimetres.

What is the difference in millimetres between the diameters of the two coins?

Give your answer to three decimal places.

Worked Solution
Diameter of 20c = 118 ×25.41 \dfrac{1}{8} \ \times 25.4
= 28.575 mm

∴\therefore Difference = 28.575 − 25
= 3.575 millimetres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Peter measured the diameter of 2 coins and recorded his measurements in the table below.
>>| Coin | Diameter| |:-:|:-:| | $1 | 25 millimetres| | 20c | $1\frac{1}{8}$ inch|

One inch equals 25.4 millimetres. What is the difference in millimetres between the diameters of the two coins? Give your answer to three decimal places.
workedSolution
| | | | --------------------- | -------------- | | Diameter of 20c | \= $1 \dfrac{1}{8} \ \times 25.4$ | | | \= 28.575 mm |

| | | | --------------------- | -------------- | | $\therefore$ Difference | \= 28.575 − 25 | | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
3.575
prefix0
suffix0
millimetres

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
correctAnswer03.575

millimetres

Variant 1

DifficultyLevel

687

Question

Fidel measured the diameter of 2 coins and recorded his measurements in the table below.

Coin Diameter
$1 25 millimetres
10c 78\frac{7}{8} inch


One inch equals 25.4 millimetres.

What is the difference in millimetres between the diameters of the two coins?

Give your answer to three decimal places.

Worked Solution
Diameter of 10c = 78×25.4\dfrac{7}{8} \times 25.4
= 22.225 mm

∴\therefore Difference = 25 −- 22.225
= 2.775 millimetres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Fidel measured the diameter of 2 coins and recorded his measurements in the table below.
>>| Coin | Diameter| |:-:|:-:| | $1 | 25 millimetres| | 10c | $\frac{7}{8}$ inch|

One inch equals 25.4 millimetres. What is the difference in millimetres between the diameters of the two coins? Give your answer to three decimal places.
workedSolution
| | | | --------------------- | -------------- | | Diameter of 10c | \= $\dfrac{7}{8} \times 25.4$ | | | \= 22.225 mm |

| | | | --------------------- | -------------- | | $\therefore$ Difference | \= 25 $-$ 22.225| | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
2.775
prefix0
suffix0
millimetres

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
correctAnswer02.775

millimetres

Variant 2

DifficultyLevel

689

Question

Sandra measured the diameter of 2 tokens and recorded her measurements in the table below.

Token Diameter
$5 30 millimetres
$1 58\frac{5}{8} inch


One inch equals 25.4 millimetres.

What is the difference in millimetres between the diameters of the two tokens?

Give your answer to three decimal places.

Worked Solution
Diameter of $1 = 58×25.4\dfrac{5}{8} \times 25.4
= 15.875 mm

∴\therefore Difference = 30 −- 15.875
= 14.125 millimetres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sandra measured the diameter of 2 tokens and recorded her measurements in the table below.
>>| Token | Diameter| |:-:|:-:| | $5 | 30 millimetres| | $1 | $\frac{5}{8}$ inch|

One inch equals 25.4 millimetres. What is the difference in millimetres between the diameters of the two tokens? Give your answer to three decimal places.
workedSolution
| | | | --------------------- | -------------- | | Diameter of $1 | \= $\dfrac{5}{8} \times 25.4$ | | | \= 15.875 mm |

| | | | --------------------- | -------------- | | $\therefore$ Difference | \= 30 $-$ 15.875| | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
14.125
prefix0
suffix0
millimetres

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
correctAnswer014.125

millimetres

Variant 3

DifficultyLevel

691

Question

India measured the diameter of 2 tokens and recorded her measurements in the table below.

Token Diameter
$2 25 millimetres
$1 45\frac{4}{5} inch


One inch equals 25.4 millimetres.

What is the difference in millimetres between the diameters of the two tokens?

Give your answer to two decimal places.

Worked Solution
Diameter of $1 = 45×25.4\dfrac{4}{5} \times 25.4
= 20.32 mm

∴\therefore Difference = 25 −- 20.32
= 4.68 millimetres

Question Type

Answer Box

Variables

Variable nameVariable value
question
India measured the diameter of 2 tokens and recorded her measurements in the table below.
>>| Token | Diameter| |:-:|:-:| | $2 | 25 millimetres| | $1 | $\frac{4}{5}$ inch|

One inch equals 25.4 millimetres. What is the difference in millimetres between the diameters of the two tokens? Give your answer to two decimal places.
workedSolution
| | | | --------------------- | -------------- | | Diameter of $1 | \= $\dfrac{4}{5} \times 25.4$ | | | \= 20.32 mm |

| | | | --------------------- | -------------- | | $\therefore$ Difference | \= 25 $-$ 20.32| | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
4.68
prefix0
suffix0
millimetres

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
correctAnswer04.68

millimetres

Variant 4

DifficultyLevel

693

Question

Jonathon measured the diameter of 2 coloured discs and recorded his measurements in the table below.

Disc Diameter
Red 18 millimetres
Blue 1381 \frac{3}{8} inch


One inch equals 25.4 millimetres.

What is the difference in millimetres between the diameters of the two discs?

Give your answer to three decimal places.

Worked Solution
Diameter of Blue = 138 ×25.41 \dfrac{3}{8} \ \times 25.4
= 34.925 mm

∴\therefore Difference = 34.925 −- 18
= 16.925 millimetres

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jonathon measured the diameter of 2 coloured discs and recorded his measurements in the table below.
>>| Disc| Diameter| |:-:|:-:| | Red | 18 millimetres| | Blue | $1 \frac{3}{8}$ inch|

One inch equals 25.4 millimetres. What is the difference in millimetres between the diameters of the two discs? Give your answer to three decimal places.
workedSolution
| | | | --------------------- | -------------- | | Diameter of Blue | \= $1 \dfrac{3}{8} \ \times 25.4$ | | | \= 34.925 mm |

| | | | --------------------- | -------------- | | $\therefore$ Difference | \= 34.925 $-$ 18| | | \= {{{correctAnswer0}}} {{{suffix0}}} |
correctAnswer0
16.925
prefix0
suffix0
millimetres

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
correctAnswer016.925

millimetres

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