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GED Foundations — practice questions

Explore 14 free Foundations questions in GED Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Foundations questions and exercises with answers

Showing questions 1–14 of 14.

In the list of whole numbers 0, 1, 2, 3, ..., what does the three-dot symbol at the end mean?Read the answer and worked solution →Using the divisibility tests, a number is divisible by 10 exactly when its last digit is which of these?Read the answer and worked solution →The number 27,493,615 appears in a census report. In which place does the digit 4 sit?Read the answer and worked solution →Write two billion, four hundred sixty-six million, seven hundred fourteen thousand, fifty-one using digits.Read the answer and worked solution →Round 23,658 to the nearest hundred.Read the answer and worked solution →Check 4,962 with the divisibility tests for 2, 3, 5, 6, and 10. Which complete list of those numbers divides it?Read the answer and worked solution →Find the prime factorization of 80.Read the answer and worked solution →List the multiples of 9 and the multiples of 12. What is the first number to appear on both lists?Read the answer and worked solution →The saying "Please Excuse My Dear Aunt Sally" helps students remember what?Read the answer and worked solution →Simplify: 30 divided by 5, plus 10 times (3 minus 2).Read the answer and worked solution →Add: 37 + (-53).Read the answer and worked solution →Is zero a positive number or a negative number?Read the answer and worked solution →Simplify by combining like terms: 3x squared + 7x + 9 + 7x squared + 9x + 8.Read the answer and worked solution →Round the numbersRead the answer and worked solution →

Worked practice questions

In the list of whole numbers 0, 1, 2, 3, ..., what does the three-dot symbol at the end mean?

  1. The pattern continues endlessly
  2. The list stops at the number 3
  3. The numbers repeat from zero
  4. The next number is unknowable
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Correct answer: A. The pattern continues endlessly

1. The three dots written after 0, 1, 2, 3 are called an ellipsis. 2. An ellipsis means "and so on," telling the reader the pattern keeps going. 3. So the whole numbers do not stop; they continue endlessly past any number written down. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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Using the divisibility tests, a number is divisible by 10 exactly when its last digit is which of these?

  1. The digit 5
  2. The digit 0
  3. The digit 2
  4. An even digit
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Correct answer: B. The digit 0

1. The divisibility test for 10 checks only the final digit of the number. 2. A number is divisible by 10 if it ends with 0. 3. Ending in 5 makes a number divisible by 5 but not by 10, and an even last digit only guarantees divisibility by 2. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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The number 27,493,615 appears in a census report. In which place does the digit 4 sit?

  1. The ten-thousands place
  2. The millions place
  3. The hundred-thousands place
  4. The hundred-millions place
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Correct answer: C. The hundred-thousands place

1. Write 27,493,615 in a place value chart, starting from the ones place on the right. 2. Reading from the right: 5 ones, 1 ten, 6 hundreds, 3 thousands, 9 ten-thousands, then the 4. 3. The digit 4 is the sixth digit from the right, which is the hundred-thousands place. 4. The ten-thousands place is held by the 9, not the 4, so that option sets a one-column trap. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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