Arithmetic
Arithmetic
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Instructions
(Click to Read) Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multi-digit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You may encounter different types of questions:
- Multiple Choice
- You will see several answer choices, but only one will be correct.
- Select the correct answer choice.
- Free-Response (Open-Ended)
- You will not see any answer choices, and only one answer is correct.
- Type your answer into the space provided.
- For fractions, input your answer as “#/#” without the quotation marks, replacing the # with numbers. For example:
- to input an answer of \(\frac{1}{2}\), type “1/2” without the quotation marks.
- For decimals less than 1, input your answer with a leading zero. For example:
- to input an answer of \(0.5\), type “0.5” without the quotation marks.
- For whole numbers, just type the number into the space provided. For example:
- to input an answer of \(5\), type “5” without quotation marks.
- Check-the-Box
- You will see several answer choices, but one or more may be correct.
- Select all correct answer choices.
Tips
(Click to Read) - These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
- Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
Assessment Summary:
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- 1 of 20Question1
What is the value of the following expression: \(8-2\left(0.6-3.1\right)+4\div4-9\)?
CorrectIncorrect - 2 of 20Question2
What is the value of the following expression: \(2.5+24\times\frac{1}{3}\div4-\frac{3}{2}\)?
CorrectIncorrect - 3 of 20Question3
What is the value of the following expression: \(\frac{\left(5+4\right)\left(\frac{1}{2}\times12\right)\left(2^3-2^1\right)\left(4\div3\right)}{\left(3^2-3^0\right)\left(2^2+2^1\right)\left(7+2\right)}\)?
CorrectIncorrect - 4 of 20Question4
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\frac{3\times5+7-9}{5\times7-9-11}\)
Column B \(1\)
CorrectIncorrect - 5 of 20Question5
Find the average of all integers between \(-14\) and \(20\), inclusive, then subtract the result by \(2\).
CorrectIncorrect - 6 of 20Question6
What number multiplied by itself \(6\) times is equal to \(729\)?
CorrectIncorrect - 7 of 20Question7
What number is exactly halfway between \(\frac{1}{12}\) and \(\frac{1}{14}\)?
CorrectIncorrect - 8 of 20Question8
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\left(2\times4\right)^2-3^4+4^2\)
Column B \(-1\)
CorrectIncorrect - 9 of 20Question9
Sam can mow a lawn in \(1.5\) hours. Mark can mow a lawn in \(45\) minutes. How long will it take them to mow the lawn together?
CorrectIncorrect - 10 of 20Question10
What is the value of the following expression: \(\frac{9\left(1+2^2\right)}{4^2-4^0}\)?
CorrectIncorrect - 11 of 20Question11
What is the value of the following expression: \(-\frac{\left(5+2\right)\left(4-3\right)\left(6\times4\right)\left(3^0+0^3\right)}{\left(5-2\right)\left(4+3\right)\left(3^2-5\right)\left(2^2-5\right)}\)?
CorrectIncorrect - 12 of 20Question12
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\frac{4^{0}+\left(5+6\right)\left(7-8\right)}{\left(5-6\right)\left(7+8\right)}\)
Column B \(1\)
CorrectIncorrect - 13 of 20Question13
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\frac{3^4-4^3}{3^2-2^3}\)
Column B \(1\)
CorrectIncorrect - 14 of 20Question14
What is the value of the expression: \(\frac{4^3-4\left(2^4+6\right)+3^3\div9}{-1}\)?
CorrectIncorrect - 15 of 20Question15
What is the value of the expression: \(\frac{4\times3+2-6\div3}{3^0}\)?
CorrectIncorrect - 16 of 20Question16
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\left(4+3\right)\times8\div2-5\times6\)
Column B \(\left(4\times3\right)+16\div8-5\times3\)
CorrectIncorrect - 17 of 20Question17
What is the value of the expression: \(\frac{4^3-3^2\times2^1}{1^0+2^1+3^2-4^3}\times\frac{2^4-3}{3\times7+2}\times-4\)?
CorrectIncorrect - 18 of 20Question18
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\frac{8-7-6-5-4}{5-4-3-2-1}\)
Column B \(1\)
CorrectIncorrect - 19 of 20Question19
What is the value of the expression: \(\frac{1+2+3+4+5\times6}{6+5+4+3\times2}-\frac{2^0}{3\times7}+\frac{1}{7}\)?
CorrectIncorrect - 20 of 20Question20
What is the value of the expression: \(2-12\times2+2\times13-15\div(-3)\)?
CorrectIncorrect
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