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Sample Test Questions
To
Prepare for the
Illinois Enhanced Basic Skills Test
In
Mathematics
Prepared by Math faculty at
Harper College – Karen Duellman and Judith Sallee
Illinois Valley Community College – Linda Mudge and Cindy Schultz
Kishwaukee College – Bob Hickey and Pat Szewczyk
Moraine Valley Community College – Sue Garstka and Cindy Shaw
Prairie State College – Steven Kifowit and Amanda Mahmoud
Truman College – Jane Dellsy and Sheila McNicholas
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View Full Document Standard 14:
Solve problems involving integers, fractions, decimals, and units of
measurement.
Example Problem
Use the diagram and the information provided to answer the question.
A home has a bedroom measuring 10 feet wide by 13 feet long that needs to be carpeted.
Carpeting can be ordered in widths of 12 feet or 15 feet and then cut to the desired length.
The carpeting costs $20 a square yard.
Which of the statements below would give the
lowest cost for the carpet?
A. Order the carpeting in the 15foot width and cut this to the desired length of 10 feet.
B. Order the carpeting in the 12foot width and cut this to the desired length of 13 feet.
C. Order the carpeting in the 12foot width and cut this to the desired length of 15 feet.
D. Order the carpeting in the 12foot width and cut this to the desired length of 10 feet.
The Problem Solving Process
1.
Understand the problem.
•
Restate the problem in your own words.
•
What information is given?
•
What are you trying to find out?
2.
Devise a plan.
•
Draw a picture for each choice and compare with the bedroom diagram.
•
Find the area of each choice.
3.
Carry out the plan.
•
Decide on the area that is big enough to cover the bedroom floor, but has the least
amount of excess carpet.
4.
Look back.
•
Does your answer seem reasonable?
Hint: The cost of $20 per square yard is not needed in order to solve the problem.
Answer: A
Standard 14:
Solve problems involving integers, fractions, decimals, and units of
measurement.
2
13 ft.
10 ft.
Bedroom
Example Problem
A certain breakfast cereal contains 125 calories for every
1
2
cup of cereal.
How many
cups of the cereal would account for 15% of a 2000 calorie daily diet?
A. 12 cups
B. 2
1
3
cups
C. 2 cups
D. 1
1
5
cups
The Problem Solving Process
1.
Understand the problem.
•
Restate the problem in your own words.
•
What information is given?
•
What are you trying to find?
2.
Devise a plan.
•
Identify a variable.
•
Create ratios and a proportion.
•
Work backwards from the choices given.
3.
Carry out the plan.
4.
Look back.
•
Does your answer seem reasonable?
Hint: You need to find 15% of 2000 to set up a correct proportion.
At least one of the answers is not reasonable: 12 cups is a lot of cereal for only 15% of a
2000 calorie daily diet!
Answer: D
Standard 15:
Apply mathematical reasoning skills to analyze patterns and solve
problems.
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This note was uploaded on 03/31/2012 for the course MTH 121 taught by Professor Staff during the Fall '11 term at Moraine Valley Community College.
 Fall '11
 Staff
 Math

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