PREPARING FOR HEALTH SCIENCE MATH PROFICIENCY TEST All new students and transfer students are required to take additional skills tests before admission into the Nursing Program. These include a math proficiency test and an algebra proficiency test which measure the student’s proficiency levels in diagnostics mathematics and algebra. There is no fee, and the tests take approximately 1½ to 2 hours each to complete. Why require the additional tests? Certain levels of proficiency in mathematics and algebra are necessary for success in a health science program. These specific tests are used because they show specific areas of math and algebra. They are directly related to skills and the type of thinking needed in health science programs. Results of the tests will be used to assist students and their advisors with proper course selection and placement. If a student does not receive a letter of admission into Nursing within two years of taking the math and/or algebra proficiency, the test(s) must be repeated. The math and algebra proficiency tests are given in the Assessment Center (B200) at the Napier Avenue Campus in Benton Harbor, at the Bertrand Crossing Campus in Niles, and the South Haven Campus. First-time college students must take the College placement assessment. Nursing students are required to pass diagnostic math and algebra proficiency tests in addition to the College placement assessment. Please contact any of the following for dates and/or further information:

Lake Michigan College Napier Avenue Campus 2755 E. Napier Avenue Benton Harbor, MI 49022 Phone:

(269) 927-8100 or 1-800-252-1562 (Michigan and Northern Indiana)

Assessment Center: Math Lab: Health Sciences: Student Services: Records Office:

(269) 927-6173 (269) 927-7097 (269) 927-8100 Ext 5090 (269) 927-8128 (269) 927-8107

Lake Michigan College Bertrand Crossing Campus 1905 Foundation Drive Niles, MI Niles MI 49120

Lake Michigan College South Haven Campus 125 Veterans Boulevard South Haven, MI 49090

Phone: (269) 695-1391

Phone: (269) 637-7500

Updated 5-17- 2012

HEALTH SCIENCE BASIC MATH PROFICIENCY TEST REVIEW

Topics Covered:

A. Whole Numbers and Integers B. Fractions C. Decimals D. Ratio and Proportions E. Percents

No calculators are allowed on part one (A.B.C.) of this test. While taking part two (D.E.) of this test, a simple or scientific calculator is allowed. Please bring your own calculator to the test. This is not a timed test, but allow yourself at least two hours to complete it in full. The following represent the types of problems that are included on the 50 question proficiency test. Please note, this test is no longer multiple choice.

Updated 5-17- 2012

A. Whole Numbers and Integers 1. Round the following to the nearest hundreds place: a. 348

b. 46,972

c. 106,483

2. Perform the indicated operations: a. 325  147

e. 725 16

b. 1728  5431

f.

c. 984  325

g. 7584  24

624  (6)

d. 3463  1896 3. Evaluate each of the following: a.  5  103  2  10 2  8  10  6 b. 4 3 4. Which of the following numbers are prime numbers? 2, 3, 11, 14, 15, 23, 30, 31

5. A chemist has 2753 mL of alcohol. How many 20 mL beakers can be filled and how much will be left over?

6. A backyard measures 20ft by 35ft. What is the perimeter and area of the yard?

Updated 5-17- 2012

B. Fractions 7. The number

12 falls between which two whole numbers on the number line? 5

8. Write the following as a mixed numeral:

34 7

9. Write each of the following in simplest form: a.

8 8

b.

0 12

c.

16 36

d.

19 57

10. Find the lowest common denominator for each of the following: a.

3 7 and 8 12

5 3 and 6 4

b.

11. Perform the indicated operation: (Express the answer in simplest form.)  5 2 a.      6 3

e. 17  6

i.

3 7

2 5 5  2 5 8

12. Solve for " y " :

b. 2

f.

3 5 3 8 6

 11  1 c.      15  3

1 3  4     g. 4  2 8 8  12 

2 j.   3

d. 7

h.

5 4  3 8 5

7  7    8  10 

3

1 9 y 2 10

13. Solve for " a" :

5 25  a  3 39

14. A pair of crutches needs adjustment. One crutch is 43 inches and the other is 5 41 inches. Find how much the short crutch should be lengthened to make both 8 crutches the same length. 15. Turkey contains 1

1 servings per pound. How many pounds are needed for 32 3

servings? Updated 5-17- 2012

C. Decimals 16. Write as a fraction and simplify if possible: 0.278 17. What is the place value of 3 in each of the following? a. 7.03 b. 0.0213 c. 4.3 d. 13.45 18. Round each of the following to the hundredth’s place: a. 0.0416 b. 6.187 c. 0.455

19. Perform the indicated operations: a. 7.45  8.371

e.  2.7  3.2

b. 1.4  12.08  0.625

f.

c. 18.31  12.65

g.  7.584  2.4

36.411.05

d. 27  9.42 20. Change

3 to a decimal: 8

21. Change

8 to a decimal and round to the hundredth’s place: 11

22. Write the following in numerical form: a. ten and twenty-three thousandths b. one and seventeen hundredths

23. Identify which number is larger: a. 0.06 or 0.008 24. Solve for " y" : 28.2  y  423

b. 2.04 or 2.039 25. Solve for " b" : b  0. 46  9

26. Find the average of the following test scores: 86, 78, 91, 87

Updated 5-17- 2012

D. Ratio and Proportion 27. Express the following ratios in simplest form: a.

12 48

b.

0 .8 24

c.

1 .4 0.49

28. What is the ratio of 18 peaches to 48 plums?

29. Express the following as rates in lowest terms: a. 330 miles driven for 15 gallons of fuel. What is the rate in miles per gallon? b. A jet flew 2660 miles in 4.75 hours? What is its speed in miles per hour? c. The heart of a human, at rest, will beat an average of 4200 beats in 60 minutes. What is the rate in beats per minute? d. A 25 oz package of pasta costs $1.55 . Find the unit cost in cents per ounce.

30. Solve the following proportions: a.

d.

21 28  18 n

b.

n 3.5  0.4 2

n 0.8  3 1.5

2 n e. 3  5 18 8

c.

20 n  6 9

1 3 5 n 15

2

f.

31. Create the proportions, then solve: a. A survey reveals that 2 out of 3 people prefer Coke to Pepsi. In a college class of 36 students, find how many students are likely to prefer Pepsi. b. A Cubs baseball player gets 3 hits every 8 times at bat. If he got 12 hits, find how many times he batted. c. In the Seattle Space Needle, the elevators whisk you to the revolving restaurant at a speed of 800 feet in 60 seconds. If the revolving restaurant is 500 feet up, how long will it take you to reach the restaurant by elevator?

Updated 5-17- 2012

E. Percents 32. Write each percent (a) as a decimal and (b) as a fraction in simplest form: a. 25 %

a. _____________

b. ____________

b. 130 %

a. _____________

b. ____________

c. 0.5 %

a. _____________

b. ____________

33. Change each of the following to a percent: a. 0.47

b. 0.02

c. 1.7

d.

2 5

e.

5 8

f.

11 16

34. Solve: a. 12% of what number is 4.92?

b. 7.5% of 20 is what?

c. 14 is what percent of 50?

d. What percent of 64 is 56?

1 35. Find the simple interest on $600 invested at 8 % for 3 years. 2

36. How much sales tax is charged on an item costing $750 if the sales tax is 6.5% ? What is the total cost of the item? 37. A salesman’s commission rate for selling a new car is 14%. How much commission will he make if he sells a car for $24,500 ?

38. A new coat is on sale for 60% off the retail price. The retail price is $320. What is the amount of discount, and what is the sale price?

Updated 5-17- 2012

ANSWERS 1. a. 300

b. 47,000

c. 106,500

2. a. 472 e. 11,600

b.  3703 f. 104

c. 659 g. 316

d. 1,567

3. a.  4726

b. 64

4. 2, 3,11, 23, 31

5. 137 beakers can be filled; 13 mL left over

6. Perimeter: 110 ft Area: 700 ft 2 c.

4 9

d.

1 3

10. a. 24

1 6 1 f.  8

11. a. 

12.

y

b. 6 g. 8

2 5

5 24

1 4

13. a 

7. 2, 3

8.

4

6 7

16 1 or  1 15 15 1 2 h.  1 i. 2 4 35

c. 

5 13

14. 1

d.

3

3 inches 8

b. 6.19

c. 0.46

19. a.  0.921 e.  8.64

b. 14.105 f. 38.2305

c. 5.66 g.  3.16

20. 0.375

22. a. 10.023

b  8.54

26. 85.5

e. 10

c. Tenths

b. 1.17 27. a.

1 4

4 7

8 27

15. 24 lbs

18. a. 0.04

y  15 25.

33 40

j.

b. Ten-thousandths

24.

b. 0

b. 12

17. a. Hundredths

21. 0.73

9. a. 1

16.

139 500

d. Ones

d. 17.58

23. a. 0.06 b. 2.04 b.

20 1 c. 7 30

28. a. 3 to 8 or

3 8

29. a. 22 miles per gallon b. 560 mph c. 70 beats per minute d. 6.2 cents per ounce 30. a. 24

b. 0.7

c. 30

d. 1.6

e. 19

1 5

f. 7

Updated 5-17- 2012

31. a. 12 students 32. a. 0.25 , 33. a. 47% 34. a. 41

1 4

b. 32 times at bats

b. 1.30 , 1 b. 2%

b. 1.5

36. $48.75; $798.75

3 10

c. 37.5 seconds

c. 0.005 ,

1 200

c. 170%

c. 28% d. 87.5% 37. $3430

d. 40%

e. 62.5%

f. 68.75%

35. $153

38. $192 discount; $128 sale price

Updated 5-17- 2012