CALCULUS SCREENING TEST: SAMPLE QUESTIONS

These 10 questions were extracted from past versions of the Binghamton University Calculus Screening Test. They were selected to indicate, roughly, the range of topics on the test. You should remember that the actual test has 33 questions, so there are many types of questions that are not represented here.

You should answer these questions under the same conditions as on the actual test: You should have paper and pencil at hand, but no calculators of any kind are permitted.

Just click on your answer for each question, then hit the “Submit” button at the end. You will receive a report indicating whether each of your answers is correct.



1.   V~   ---

    2 +  V~   ---

    3 =
    a:   V~   ---

    5
    b:   V~   ---

    6
    c:  2 V~   ---

    3
    d:  1
    e:  none of the above

2.         20
-----6----------
                 =
318    .221
    a:    1
------
  19
6
    b:  20
----
39
    c:  9-
2
    d:  -1--
19
    e:  none of the above

3.  (          )

     2/3
   x2 =
    a:   V~    ---------

       2/3
     x
    b:  x4/3
    c:  x2+2/3
    d:  x4/6
    e:  none of the above

4.  9x    +    6y
---------------
                 =
     3x
    a:  3 + 2y
    b:  3x    +   2y
---------------

      x
    c:  3x + 2y
    d:  3 + 6y
    e:  none of the above

5.  Solve for x: x2  - 1 = 15
    a:  x = ± V~   -----

    14
    b:  x = ±4
    c:  x =  V~   -----

    15 + 1
    d:  x = 4
    e:  none of the above

6.  Solve for x: |x| < 3
    a:  x < 3
    b:  x < ±3
    c:  x > 3 or x < -3
    d:  -3 < x < 3
    e:  none of the above

7.  The domain of the function

                V~   -----------

                   x   -    5
f  (x)    =    ---------------

                     x

is the set of x satisfying
    a:  x > 5
    b:  x < 5 and x/=0
    c:  x > 0
    d:  x/=0 and x/=5
    e:  none of the above



8.  sin(3x)
-------------- =

sin(2x)
    a:  3
--
2
    b:  3p---
 2
    c:  sin(x)
    d:        (    )

         3-
sin      2
    e:  none of the above

9.  For the right triangle below, find cos(A)

Triangle


    a:     1
 V~ -------

    10
    b:     3
 V~ -------

    10
    c:  1-

3
    d:  3
    e:  none of the above

10.  Find the slope of the line 3x  -  4y = 8.
    a:  -8
--
3
    b:  -3-
4
    c:  3
--
4
    d:  3
    e:  none of the above