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| The COMPASS math section includes numerical skills/pre-algebra, algebra, intermediate algebra, and college algebra. Since the test is adaptive, testers are routed back and forth to harder or easier questions until the program can determine their skill level. | |
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Sample NUMERICAL SKILLS / PRE-ALGEBRA questions |
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Question 1: The
following question involves averages - means, medians, modes.
What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2? Please click on an answer: |
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Question 2: The
following question involves basic operations with decimals. Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00? Please click on an answer: |
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Question 3: The
following question involves basic operations with fractions. How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long, and 5 pieces, each 2 1/4 yards long, are removed? Please click on an answer: |
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Question 4: The
following question involves percentages. Phillip charged $400 worth of goods on his credit card. On his first bill, he was not charged any interest, and he made a payment of $20. He then charged another $18 worth of goods. On his second bill a month later, he was charged 2% interest on his entire unpaid balance. How much interest was Phillip charged on his second bill? Please click on an answer: |
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Sample ELEMENTARY ALGEBRA questions |
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Question 5: The
following question involves elementary algebra - linear
equations in one variable.
A student has earned scores of 87, 81, and 81 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test? Please click on an answer: |
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Question 6: The
following question involves elementary algebra - basic
operations with polynomials. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x? Please click on an answer: |
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Question 7: The
following question involves elementary algebra - substituting values
into algebraic expressions. If x = -1 and y = 2, what is the value of the expression 2x 3 - 3xy ? Please click on an answer:back to top |
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Sample INTERMEDIATE ALGEBRA questions |
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Question 8: The
following question involves intermediate algebra - rational
expressions. For all r ᾤ ± 2, r2 - 5r + 6 / r2 - 4 = ? Please click on an answer: |
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Question 9: The
following question involves coordinate geometry - linear
equations in two variables. What is the equation of the line that contains the points with (x, y ) coordinates (-3, 7) and (5, -1)? Please click on an answer:back to top |
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Sample COLLEGE ALGEBRA questions |
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Question 10: The
following question involves college algebra - complex numbers:
For i = √ -1, if 3i (2 + 5i) = x + 6i, then x = ? Please click on an answer: |
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Question 11: The
following question involves college algebra - functions. If f(4) = 0 and f(6) = 6, which of the following could represent f(x) ? Please click on an answer: |
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Sample COLLEGE LEVEL ALGEBRA PLACEMENT questions |
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Question 12: The
following question involves college level algebra placement - complex
numbers.
For i = √-1, if 3i (2 + 5i) = x + 6i, then x = ? Please click on an answer: |
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Question 13: The
following question involves college level algebra placement
- functions.
If f(4) = 0 and f(6) = 6, which of the following could represent f(x) ? Please click on an answer: |
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