Cliffs AP Chemistry, 3rd Edition

Mathematics Self-Test

Try taking this short mathematics self-test. If you understand these math problems and get the

answers correct, you’re ready to go on. If you miss problems in this area, you need to back up

and review those operations with which you are uncomfortable.

Determine the number of significant figures in the following numbers.

1. 100


2. 100.01


3. 0.010


4. 1234.100
   Round the following numbers to the number of significant figures indicated and express in
   scientific notation.


5. 100.075 rounded to 3 significant figures


6. 140 rounded to 2 significant figures


7. 0.000787 rounded to 2 significant figures
   Perform the following math operations, expressing your answers to the proper number of
   significant figures.


8. (4.5 × 10 –3) + (5.89 × 10 –4)


9. (5.768 × 109 ) ×(6.78 × 10 –2)


10. (5.661 × 10 –9) divided by (7.66 × 10 –8)


11. 8.998 + 9.22 + 1.3 × 102 + 0.006

Determine:

12. log of 98.71

13. log of 0.0043

14. ln of 3.99

15. ln of 0.0564

16. log (0.831/0.111)

17. ln (1.5^2 /3.0 × 10 –4)
    Evaluate:

18. e7.82

Solve for x:

19. log (12.0/x) =3.0

20.40.1 =5.13x

Questions Commonly Asked About the AP Chemistry Exam

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