"Continuing the Tradition
of Leadership in
Community Health"

North Campus
1211 Wilmington Avenue
New Castle, PA 16105
(724) 658-9001

South Campus
1000 S. Mercer St.
New Castle, PA 16101
(724) 658-3511

                                                                                                 School of Nursing (724) 656-4052

 

Dear Applicant:

During the two (2) year curriculum, you will be studying a lot of hours and learning many new things.

Nurses are required to have a working knowledge of medications:  how they work on the body,
how the nurse knows the medicine is working; and of course, how medications should be given to the patient--what route, how often, how much, etc. 

In order for a nurse to be able to administer medications safely to patients, he/she must have good basic math skills.  Math skills are needed to calculate medication doses and IV flow rates.

A 50 point Basic Math Proficiency Test will be administered during the Informational Conference.
(CALCULATORS ARE NOT PERMITTED).  A sample math test is available to help you know what types of questions to expect on the test.  If math is a difficult subject for you, locate a math book and begin reviewing. 

Sincerely,
Mrs. Jayne Sheehan, RN, MSN, CRNP
Director of Professional and Allied Health Education

Jameson Memorial Hospital School of Nursing
New Castle, Pennsylvania  16105-2595

 

           Sample Problems

            for

                   Basic Math Proficiency Test

 

Part I:             Roman and Arabic Numerals

Roman numerals are made-up of letters of the alphabet.  M=1000; D=500;

C=100; L=50; x (X)=10; v (V)=5; i (I) =1 

When a smaller numeral precedes a larger numeral, the smaller numeral is subtracted from the larger.  For example, iv=4; i (1) is less than v (5) and precedes the v (5) so it is subtracted.

When the smaller numeral follows a larger numeral, the smaller numeral is added to the larger.  For example, vi=6; i (1) is less than v (5) and follows the v (5) so it is added. 

Roman numerals never use more than three (3) of the same digit in a row.  For example, to write the number four (4) you would use iv not  iiii. 

Arabic numerals are made-up of numbers.

 A.         Roman numerals to Arabic                                B.         Arabic numerals to Roman
1.           V = __________                                             6.         2 = __________ 
2.           X = __________                                             7.         4 = __________
3.           VIII = ________                                             8.         12 = _________
4.           IX = _________                                              9.         17 = _________
5.           XIV = _______                                               10.       20 = _________



 Part II:            Fractions

Think of it like this.  If you were going to be given a piece of chocolate cake and did not have to worry about calories, would you rather have 1/8 of the cake or 1/4?  You may need to find the common denominator first.
 

A.        Identify which fraction has the largest value. 

11.       1/4 or 3/4________________

12.       1/3 or 1/2________________ 

13.       7/8 or 3/4________________ 

14.       1/100 or 1/150____________ 

B.         Change these fractions to decimals.

To change a fraction into a decimal, divide the bottom number (denominator) into the top number (numerator).  For example, 

                 .25    
1/4  =  4 1.00  
             -8
               20
                20

           15.       1/2 = ____________ 

16.       2/3 = ____________ 

17.       1/10 = ___________ 

18.       5/10 = ___________

 

Part II:  Fractions (continued)

Adding and subtracting fractions

If fractions have the same bottom number (denominator), you can add or subtract the top number (numerators) and write the answer over the bottom number (denominator).  However, if the fractions have different bottom numbers (denominators), you must find a number that both bottom numbers (denominators) can be divided into evenly before you do anything.

 

C.        Add the following fractions and reduce your answer to its lowest term. 

19.       2/3 + 4/5 =______________

20.       1/4 + 6/8=______________ 

21.       1/2 + 1/3________________ 

22.       4/9 + 4/6________________

 

D.            Subtract the following fractions and reduce your answer to its lowest term. 

23.       2 3/4 - 1 2/3=____________ 

24.       7/8 - 1/2=_______________ 

25.       6 1/2 - 3 1/3=____________ 

26.       8/9 - 2/3=_______________

 

Part III:          Decimals

When adding and subtracting decimals, make sure to line up the numbers and decimals. 

A.        Add the following problems. 

27.       2.25 + 4.30=________________ 

28.       2.64 + 6.0=_________________ 

29.       22.68 + 8.03=_______________ 

30.       17.33 + 0.003 + 1.0=________

 


 

Part III: Decimals (continued)

B.            Subtract the following problems. 

31.       11.399 - 7.32=_______________ 

32.       2.25 - 1.75=_________________ 

33.       18.53 - 18.01=_______________ 

34.       0.136 - 0.01=________________

 

Multiplying decimals by decimals.

Multiply the numbers as if the decimals were not there.  Count the total number of decimal places to the right that are in the numbers being multiplied together.  In the answer, move the decimal point to the left the number of decimal places you count. 

C.            Multiply the following problems. 

35.       8.4 X 10.6 = _______________ 

36.       2.3 X 16=__________________ 

37.       4 X 3.6=___________________ 

38.       1.75 X 0.0002=_____________

 

 

Dividing decimals by decimals                            Quotient

   Divisor      Dividend

 

First make the number that you are dividing (divisor) a whole number by moving the decimal point the necessary number of places to the right.  Next, move the decimal in the dividend the same number of places to the right as you did for the divisor.  Add zeros as needed.  Place the decimal point in the quotient directly above the decimal point in the dividend.  Now divide. 

D.        Divide the following problems.

 

39.       50 ) 2.5 =______________ 

40.       3.4 ) 6.1=______________ 

41.       2.1 ) 0.07=_____________ 

42.       18 ) 0.9=_______________

 

Part IV:           Solving for X

When solving for X you would either multiply across, 

                                                                                      

for example   1        3        1X = 6
                     2        X

 or you multiply the inside numbers together and the outside numbers together. 

1  : 2  : :  3 :  X;  1X=6.

 

 

A.        Solve for the X in proportion problem. 

43.       7 = X
8    12                                    X = __________
 

44.       X = 5
16   32                                    X = __________
 

45.     1: 300 : :  X : 60                      X = __________
 

46.    10 : 100 : :  X : 1000                X = __________

  

Part V:            Percentages

--Converting percents to decimals.

First drop the percent sign and add a decimal point.  Then move the decimal point two (2) place to the left.  Add zeros as needed.

--Converting decimals to percents.

First move the decimal two (2) places to the right, add zeros as needed.  Add a percent sign.

A.     Write percentages as decimals              B.         Write decimals as percentages
 

47.       6%=__________                                             50.       0.68=__________ 
 

48.      25%=_________                                             51.       1.25=__________ 
 

49.      0.1%=________                                              52.       50.0=__________

 

Part VI:           Word Problems

Converting pounds to kilograms and kilograms to pounds.

--A kilogram is bigger than a pounds.  It takes 2.2 pounds to make one kilogram.  If you have pounds and you want to determine how many kilograms that is, you must divided by 2.2.

--If you have kilograms and you want to determine how many pounds that is, you must multiply by 2.2. 

Use the following chart to solve the remaining word problems. 

1 kilogram = 2.2 pounds
1 gram = 1000 milligrams
1 pint = 500 milliliters
2 pints = 1 quart
1 cc = 1 milliliter 

__________53.            If an individual weighs 60 kilograms, how many pounds does the individual weigh? 

__________54.            If an individual weighs 180 pounds, how many kilograms does the individual weigh? 

__________55.            One quart would equal how many milliliters? 

__________56.            Two thousand (2000) milliliters would equal how many quarts?


__________57.            One half gram (1/2) would equal how many milligrams? 

__________58.            You are to administer 2 grams of Kefzol to a patient.  How many milligrams is this?

 

 

CORRECT ANSWERS

1.     5                                                                          30.     18.333
2.     10                                                                        31       4.079
3.     8                                                                          32.     0.5
4.     9                                                                          33.     0.52
5.     14                                                                        34.     0.126
6.     II                                                                          35.     89.04
7.     IV                                                                        36.     36.8
8.     XII                                                                       37.     14.4
9.     XVII                                                                    38.     0.00035
10.   XX                                                                       39.    20
11.   3/4                                                                        40.     0.557
12.   1/2                                                                        41.     30
13.   7/8                                                                        42.     20
14.   1/100                                                                    43.     10.5
15.   0.50                                                                      44.     2.5
16.   0.666                                                                    45.     0.2
17.   0.10                                                                      46.     100
18.   0.50                                                                      47.     0.06
19.   1 7/15                                                                   48.     0.25
20.   1                                                                           49.     0.001
21.   5/6                                                                        50.     68%
22.   1 1/9                                                                     51.     125%
23.   1 1/12                                                                   52.     5000%
24.   3/8                                                                        53.     132
25.   3 1/6                                                                     54.     81.81
26.   2/9                                                                        55.     1000
27.   6.55                                                                      56.     2
28.   8.64                                                                      57.     500
29.   30.71                                                                    58.     2000