Number and Algebra, RAPH14 Q85-87

Question

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Worked Solution

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Variant 0

DifficultyLevel

507

Question

Gary thinks of a number.

He writes the clues so his friends can guess it.

  • The number is less than 600
  • The number has 20 tens
  • The digits in the ones place is the same as the digit in the hundreds place


What is Gary’s number?

Worked Solution

Check each option:

22 is less than 600, it doesn’t have 20 tens (Incorrect)

202 is less than 600, it has 20 tens, and the ones digit is the same as the hundreds digit (Correct)

266 is less than 600, it has 20 tens, and the ones digit is NOT the same as the hundreds digit (Incorrect)

20 is less than 600, it doesn’t have 20 tens (Incorrect)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Gary thinks of a number. He writes the clues so his friends can guess it.
* The number is less than 600 * The number has 20 tens * The digits in the ones place is the same as the digit in the hundreds place

What is Gary’s number?
workedSolution
sm_nogap Check each option: > 22 is less than 600, it doesn’t have 20 tens (Incorrect) > 202 is less than 600, it has 20 tens, and the ones digit is the same as the hundreds digit (Correct) >266 is less than 600, it has 20 tens, and the ones digit is NOT the same as the hundreds digit (Incorrect) >20 is less than 600, it doesn’t have 20 tens (Incorrect)
correctAnswer
202

Answers

Is Correct?Answer
x

22

✓

202

x

266

x

20

Variant 1

DifficultyLevel

509

Question

Josh thinks of a number.

He writes the clues so his friends can guess it.

  • The number is less than 500
  • The number has 40 tens
  • The digit in the ones place is twice the the digit in the hundreds place


What is Josh’s number?

Worked Solution

Check each option:

402 is less than 500, it has 40 tens, and the ones digit is half the digit in the hundreds place (Incorrect)

480 is less than 500, it has 48 tens (Incorrect)

40 is less than 500, it only has 4 tens (Incorrect)

408 is less than 500, it has 40 tens, and the ones digit is twice the hundreds digit (Correct)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Josh thinks of a number. He writes the clues so his friends can guess it.
* The number is less than 500 * The number has 40 tens * The digit in the ones place is twice the the digit in the hundreds place

What is Josh’s number?
workedSolution
sm_nogap Check each option: >402 is less than 500, it has 40 tens, and the ones digit is half the digit in the hundreds place (Incorrect) >480 is less than 500, it has 48 tens (Incorrect) >40 is less than 500, it only has 4 tens (Incorrect) >408 is less than 500, it has 40 tens, and the ones digit is twice the hundreds digit (Correct)
correctAnswer
408

Answers

Is Correct?Answer
x

404

x

480

x

40

✓

408

Variant 2

DifficultyLevel

506

Question

Lily thinks of a number.

She writes the clues so her friends can guess it.

  • The number is less than 900
  • The digits in the ones place is the same as the digit in the hundreds place
  • The number has 70 tens


What is Lily’s number?

Worked Solution

Check each option:

77 is less than 900, it only has 7 tens (Incorrect)

770 is less than 900, it has 70 tens, and its ones digit is NOT the same as the hundreds digit. (Incorrect)

707 is less than 900, it has 70 tens, and its ones digit is the same as the hundreds digit. (Correct)

70 is less than 900, it only has 7 tens (Incorrect)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lily thinks of a number. She writes the clues so her friends can guess it.
* The number is less than 900 * The digits in the ones place is the same as the digit in the hundreds place * The number has 70 tens

What is Lily’s number?
workedSolution
sm_nogap Check each option: >77 is less than 900, it only has 7 tens (Incorrect) >770 is less than 900, it has 70 tens, and its ones digit is NOT the same as the hundreds digit. (Incorrect) >707 is less than 900, it has 70 tens, and its ones digit is the same as the hundreds digit. (Correct) >70 is less than 900, it only has 7 tens (Incorrect)
correctAnswer
707

Answers

Is Correct?Answer
x

77

x

770

✓

707

x

70

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