CliffsNotes CBEST - BTPS TESTING Ph.D., Jerry Bobrow Ph.D. & 8 more 2021

Arithmetic diagnostic test
Arithmetic review

Arithmetic is the foundation for all math concepts and shares the basic properties of counting: adding, subtracting, multiplying, and dividing.

Since all math is best understood through orderly stages of progressive learning, basic arithmetic review is a normal step toward building interconnected associations to help make sense of more advanced concepts. By studying arithmetic first, you will be strengthening your ability to tackle more challenging problems.

Start with the arithmetic diagnostic test and use the following chart to work through the topics. As you study the material, check off the topics and focus your attention on one math topic at a time. Then, assess your strengths to evaluate areas in which you feel you may need improvement. Even if your cumulative knowledge of math is strong, you should at least skim through each topic heading to help trigger your memory of forgotten math concepts.

Arithmetic Study Guide Checklist

Now let’s get started and see what arithmetic skills you remember. Take the arithmetic diagnostic test that follows to help you evaluate how familiar you are with the selected arithmetic topics. The diagnostic test will give you valuable insight into the topics you will need to study.

Arithmetic diagnostic test

Directions: Solve each problem in this section by using the information given and your own mathematical calculations.

1. −4 + 8 =

2. −12 −6

3. (−6)(−8) =

4. 

5. Change to an improper fraction.

6. Change to a whole number or mixed number in lowest terms.

7. Add:

8. Add:

9. Add:

10. Subtract:

11. Subtract:

12. Multiply:

13. Multiply:

14. Divide:

15. Divide:

16. What is 0.08 + 1.3 + 0.562?

17. What is 0.45 − 0.003?

18. What is 8.001 × 2.4?

19. What is 0.147 ÷ 0.7?

20. Change to a decimal.

21. Change 7% to a decimal.

22. Circle the larger number: 43.051 or 043.0089

23. Round 96,372 to the nearest thousand.

24. Solve the proportion for x:

25. Change 0.4% to a decimal.

26. Change to a percent.

27. What is 46% of 58?

28. Change 87.5% to a fraction.

29. What is the percent increase of a rise in temperature from 80° to 100°?

30. If an item is marked down from $75 to $50, what is the percent decrease?

Scoring the Diagnostic Test

The following section assists you in scoring and analyzing your diagnostic test results. Use the answer key and the analysis worksheet that follows to help you evaluate specific problem types. Corresponding topic headings can be found in the arithmetic review section following the diagnostic test. In fact, most of the problems are covered in the review, with details on how to solve them.

Answer Key

Sets of Numbers

1. 4

2. −18

3. 48

4. 24

Fractions

5. 

6. 

7.  or 1

8. 

9. 

10.

11.

12.

13.

14.

15.

Decimals

16. 1.942

17. 0.447

18. 19.20241

19. 0.211

20. 0.15

21. 0.07

Rounding Off

24. 43.051

25. 96,000

Ratios and Proportions

24.

Percents

25. 0.004

26.

27. 26.68

28.

29. 25%

30.

Charting and Analyzing Your Diagnostic Test Results

Record your diagnostic test results in the following chart, and use these results as a guide to assist you in planning your arithmetic review goals and objectives. Mark the problems that you missed, paying particular attention to those that were missed in Column (C) because they are unfamiliar math concepts. These are the areas you will want to focus on as you study the arithmetic topics.

Analysis Worksheet