Arithmetic Practice Part 1

The Arithmetic section of the Accuplacer exam consists of 17 questions and tests you in the following areas:


• Find an average of 4 numbers
• Multiply two 3-digit numbers
• Estimate by rounding. What number does the answer end with? Eliminate options.
• Solve problems involving
• Ratio and proportion (scale drawing, recipe)
• Distance/speed/time
• Cost per square foot of a rectangular floor (know the formula for the area of a rectangle)
• Graphs (bar and circle)
• Cost per unit


• Change a fraction to an equivalent fraction (multiply by 1).
• Give a simplified fraction to represent parts of a whole.
• What fraction represents: 56 out of 96 passed the test?
• Find the greatest or least fraction among four given fractions.
• Know that 4/5 of a number means 4 times 1/5 of the number or 1/5 of 4 times the number.
• Add two fractions whose common denominator is already the denominator of one of the fractions
• Subtract fractions
• Know that “What fraction added to __ gives ___ ?” means to subtract.
• Perform 2-step problems involving addition and subtraction of fractions with unlike denominators
• Subtract mixed numbers (with or without having to borrow).
• Rewrite a mixed number as a whole number and a fraction (2 2/3 = 1 + N/6).
• Multiply a whole number by a fraction or a mixed number.
• Multiply two mixed numbers.
• Divide a whole number by a fraction.
• Solve word problems involving
• Adding two fractions and then subtracting from 1
• Finding the result of increasing a mixed number measurement by a mixed number factor


• Write the expanded form as a decimal (3 + 4/100 + 7/1000 = 3.047).
• Rewrite a decimal as a mixed number.
• Add three decimals where one is a whole number, one goes to the tenths’ place and one goes to
• the hundredths’ place (23 + 0.8 + 0.05)
• Add a fraction whose denominator is a power of ten to a decimal.
• Subtract decimals.
• Multiply a decimal by a power of ten.
• Multiply two decimals. Locate the answer “between” two given whole numbers.
• Find the square of a decimal.
• Estimate the product of two decimals without doing the multiplication
• Divide a decimal by a whole number.
• Divide a whole number by a decimal.
• Divide a decimal by a decimal.
• Estimate the quotient of two decimals without doing the division.


• The word “percent” is used more than the symbol “%”.
• Write a percent as a decimal.
• Write a percent as a fraction.
• Know that “__ percent of __” means to multiply.
• Know that “twice as big” means 200%, “three times as big” means 300%, etc.
• “Reverse percents” (If 60 is 25% of a number, then the number is what percent of 60?)
• Solve all three types of percent problems:
• Find a percentage of a number (Find 20% of 65)
• Find the number when a percentage is given (34 is 5% of what number?)
• Find the percent (8 is what percent of 12?)
• Know that “N% more” is equivalent to (100 + N)%
• Word problems involving:
• Tip on a restaurant bill (estimate)
• Percent raise in salary
• Minutes as part of an hour
• Successive discounts
• Paying N% more than previously.

Try some of my practice questions:

If you feel ready to try a full length test click here: .

For more questions like this with answer explanations and walkthroughs go here.