Algebra, NAP_10021

Question

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Worked Solution

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Variant 0

DifficultyLevel

390

Question

Arlo puts $22 into his piggy bank to start saving money.

He then puts $7 into the piggy bank at the end of each month.

The total amount of money in his piggy bank at the end of each month will be which of the following:

Worked Solution

Starting amount = $22 (even)

End of 1st month = 22 + 7 = $29 (odd)

End of 2nd month = 29 + 7 = $36 (even)

\therefore Total amount will be either an odd or even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Arlo puts $22 into his piggy bank to start saving money. He then puts $7 into the piggy bank at the end of each month. The total amount of money in his piggy bank at the end of each month will be which of the following:
workedSolution
Starting amount = $22 (even) End of 1st month = 22 + 7 = $29 (odd) End of 2nd month = 29 + 7 = $36 (even) $\therefore$ Total amount will be either an odd or even number.
correctAnswer
Sometimes odd and sometimes even

Answers

Is Correct?Answer
x

Always an even number

x

Always an odd number

Sometimes odd and sometimes even

x

None of the above


Variant 1

DifficultyLevel

392

Question

On Monday Newton harvests 8 pumpkins to sell at the markets.

On each of the following three days he harvests another 5 pumpkins.

The total of pumpkins he has ready for market at the end of each day will be which of the following:

Worked Solution

Starting number = 8 (even)

End of Tuesday = 8 + 5 = 13 (odd)

End of Wednesday = 13 + 5 = 18 (even)

End of Thursday = 18 + 5 = 23 (odd)

\therefore Total number of pumpkins will be either an odd or an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
On Monday Newton harvests 8 pumpkins to sell at the markets. On each of the following three days he harvests another 5 pumpkins. The total of pumpkins he has ready for market at the end of each day will be which of the following:
workedSolution
Starting number = 8 (even) End of Tuesday = 8 + 5 = 13 (odd) End of Wednesday = 13 + 5 = 18 (even) End of Thursday = 18 + 5 = 23 (odd) $\therefore$ Total number of pumpkins will be either an odd or an even number.
correctAnswer
Sometimes even sometimes odd

Answers

Is Correct?Answer
x

Always an even number

Sometimes even sometimes odd

x

Always an odd number

x

None of the above


Variant 2

DifficultyLevel

391

Question

Gretchen puts $80 into a savings account to start saving money.

She then puts $24 into the savings account at the end of each month.

The total amount of money in hers savings account at the end of each month will be which of the following:

Worked Solution

Starting amount = $80 (even)

End of 1st month = 80 + 24 = $104 (even)

End of 2nd month = 104 + 24 = $128 (even)

End of 3rd month = 128 + 24 = $152 (even)

\therefore Total amount will be always be an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Gretchen puts $80 into a savings account to start saving money. She then puts $24 into the savings account at the end of each month. The total amount of money in hers savings account at the end of each month will be which of the following:
workedSolution
Starting amount = $80 (even) End of 1st month = 80 + 24 = $104 (even) End of 2nd month = 104 + 24 = $128 (even) End of 3rd month = 128 + 24 = $152 (even) $\therefore$ Total amount will be always be an even number.
correctAnswer
Always an even number

Answers

Is Correct?Answer
x

Always an odd number

Always an even number

x

sometimes odd sometimes even

x

None of the above


Variant 3

DifficultyLevel

392

Question

Brandon puts $100 into his savings account to start saving for a holiday.

He then puts $25 into the savings account at the end of each fortnight.

The total amount of money in his savings account at the end of each fortnight will be which of the following:

Worked Solution

Starting amount = $100 (even)

End of 1st fortnight = 100 + 25 = $125 (odd)

End of 2nd fortnight = 125 + 25 = $150 (even)

End of 3rd fortnight = 150 + 25 = $175 (odd)

\therefore Total amount will be either an odd or even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Brandon puts $100 into his savings account to start saving for a holiday. He then puts $25 into the savings account at the end of each fortnight. The total amount of money in his savings account at the end of each fortnight will be which of the following:
workedSolution
Starting amount = $100 (even) End of 1st fortnight = 100 + 25 = $125 (odd) End of 2nd fortnight = 125 + 25 = $150 (even) End of 3rd fortnight = 150 + 25 = $175 (odd) $\therefore$ Total amount will be either an odd or even number.
correctAnswer
Sometimes odd sometimes even

Answers

Is Correct?Answer

Sometimes odd sometimes even

x

Always an even number

x

Always an odd number

x

None of the above


Variant 4

DifficultyLevel

393

Question

Midge puts $140 into her savings account to start saving money.

She then puts $50 into the savings account at the end of each month.

The total amount of money in Midge's savings account at the end of each month will be which of the following:

Worked Solution

Starting amount = $140 (even)

End of 1st month = 140 + 50 = $190 (even)

End of 2nd month = 190 + 50 = $240 (even)

End of 3rd month = 240 + 50 = $290 (even)

\therefore Total amount will always be an even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Midge puts $140 into her savings account to start saving money. She then puts $50 into the savings account at the end of each month. The total amount of money in Midge's savings account at the end of each month will be which of the following:
workedSolution
Starting amount = $140 (even) End of 1st month = 140 + 50 = $190 (even) End of 2nd month = 190 + 50 = $240 (even) End of 3rd month = 240 + 50 = $290 (even) $\therefore$ Total amount will always be an even number.
correctAnswer
Always an even number

Answers

Is Correct?Answer
x

Always an odd number

Always an even number

x

Sometimes odd sometimes even

x

None of the above


Variant 5

DifficultyLevel

394

Question

Jackie puts $25 into her piggy bank to start saving money.

She then puts $15 into the piggy bank at the end of each month.

The total amount of money in Jackie's piggy bank at the end of each month will be which of the following:

Worked Solution

Starting amount = $25 (odd)

End of 1st month = 25 + 15 = $40 (even)

End of 2nd month = 40 + 15 = $55 (odd)

\therefore Total amount will be either an odd or even number.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jackie puts $25 into her piggy bank to start saving money. She then puts $15 into the piggy bank at the end of each month. The total amount of money in Jackie's piggy bank at the end of each month will be which of the following:
workedSolution
Starting amount = $25 (odd) End of 1st month = 25 + 15 = $40 (even) End of 2nd month = 40 + 15 = $55 (odd) $\therefore$ Total amount will be either an odd or even number.
correctAnswer
Sometimes odd and sometimes even

Answers

Is Correct?Answer
x

Always an odd number

x

Always an even number

Sometimes odd and sometimes even

x

None of the above

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