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CAASPP Mathematics Foundations — practice questions

Explore 70 free Foundations questions in CAASPP Mathematics 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 1–30 of 70.

What is another name for the counting numbers 1, 2, 3, and so on?Read the answer and worked solution →In the number 63,407,218, which place value holds the digit 6?Read the answer and worked solution →In the number 63,407,218, which place value holds the digit 1?Read the answer and worked solution →Write nine billion, two hundred forty-six million, seventy-three thousand, one hundred eighty-nine using digits.Read the answer and worked solution →Rounding 103,978 to the nearest hundred gives what result?Read the answer and worked solution →Rounding 103,978 to the nearest ten thousand gives what result?Read the answer and worked solution →Numbers whose last digit is 5 or 0 are divisible by which number?Read the answer and worked solution →Is 5,625 divisible by 2?Read the answer and worked solution →Is 5,625 divisible by 3?Read the answer and worked solution →Is 5,625 divisible by 6?Read the answer and worked solution →In the statement a times b equals m, what are a and b called?Read the answer and worked solution →Which of these is the complete list of prime numbers less than 20?Read the answer and worked solution →Among the prime numbers, which one is the only even prime?Read the answer and worked solution →What is the prime factorization of 48?Read the answer and worked solution →What is the prime factorization of 252?Read the answer and worked solution →Using the listing multiples method, what is the least common multiple of 15 and 20?Read the answer and worked solution →Using the prime factors method, what is the least common multiple of 12 and 18?Read the answer and worked solution →Using the prime factors method, what is the least common multiple of 24 and 36?Read the answer and worked solution →By definition, what is a variable in algebra?Read the answer and worked solution →By definition, what is a constant in algebra?Read the answer and worked solution →Why is the cross symbol not used to show multiplication in algebra?Read the answer and worked solution →According to the relationship between the inequality symbols, if 17 is greater than 4, what else must be true?Read the answer and worked solution →Translate the algebra statement y + 7 < 19 into English.Read the answer and worked solution →By definition, what is an expression in algebra?Read the answer and worked solution →By definition, what is an equation in algebra?Read the answer and worked solution →Which of these is an equation rather than an expression?Read the answer and worked solution →In exponential notation, what does a raised to the n power mean?Read the answer and worked solution →Simplify: 3 to the fourth power.Read the answer and worked solution →Simplify: 4 + 3 times 7.Read the answer and worked solution →Simplify: (4 + 3) times 7.Read the answer and worked solution →

Worked practice questions

What is another name for the counting numbers 1, 2, 3, and so on?

  1. Whole numbers
  2. Natural numbers
  3. Integer numbers
  4. Rational numbers
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Correct answer: B. Natural numbers

1. The counting numbers begin at 1 and continue without end. 2. This same set of numbers carries a second common name in mathematics. 3. Counting numbers are also called natural numbers, so the two terms mean the same set. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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In the number 63,407,218, which place value holds the digit 6?

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

1. Write out 63,407,218 with each digit in its own place value column. 2. Counting from the ones place on the right, the digit 6 is the eighth digit from the right. 3. The eighth place value column from the ones place is the ten-millions place. 4. So the 6 in 63,407,218 sits in the ten-millions place. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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In the number 63,407,218, which place value holds the digit 1?

  1. The ones place
  2. The hundreds place
  3. The thousands place
  4. The tens place
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Correct answer: D. The tens place

1. Write out 63,407,218 with each digit placed in its own column. 2. Counting from the right, the ones digit is 8 and the next digit to its left is 1. 3. The column just to the left of the ones place is the tens place. 4. So the digit 1 in 63,407,218 sits in the tens place. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_

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