MSAT Sample Test 3

There are 40 questions. The first 20 concern arithmetic, the second 20 concern (mostly) first level algebra. You may answer questions in any order. When you are done with the test, click the Submit Quiz button at the end of this on-line document.
Try to finish all 40 questions in 50 minutes.
Arithmetic Questions (1-20):

1.   Eight hundred thousand seventy is written

      800,070     800,070,000     800,700     870,000,000     80,070    

2.   5904 ÷ 48 =

      132     123     13     1130     1320    

3.   The average of 14, 13, 8, 6, and 4 is

      14     4     8     9     45    

4.   
 7 hours20 minutes
-3 hours45 minutes

      4 hours 25 minutes     4 hours 15 minutes     3 hours 35 minutes     3 hours 25 minutes     3 hours 15 minutes    

5.   1/3 + 2/7 =

      3/10     3/21     13/21     1/21     2/21    

6.    6 1/5 - 3 3/5

      3 2/5     2 2/5     3 3/5     2 3/5     3    

7.   4 ÷ 2 2/3 =

      1 1/2     8/12     1 1/8     1/8     2    

8.   Which of the following fractions is the largest ?

      1/8     2/9     1/7     2/3     1/2    

9.   Which of the follwing is the smallest ?

      .083     2.0004     .30     .602     .6    

10.   12.732 + 3.88 + 6 =

      22.612     14.396     13.126     13.720     19.120    

11.   44.2 - 4.33 =

      40.90     39.87     40.13     48.53     4.13    

12.   An apartment dweller pays $42.50 per room, plus a monthly service charge of $30. He rents an apartment of five rooms. What is his monthly rent ?

      $242.50     $212.50     $72.50     $192.50     $362.50    

13.   A theater sold tickets at $2.50 each and took in $500. How many tickets were sold by the theater ?

      200     2000     45     450     20    

14.   2 + 7 (6 + 4) =

      48     90     72     19     46    

15.   Change .70 to a fraction and reduce to lowest terms.

      70/100     35/100     7/10     7/50     7/100    

16.   80% of 25 is

      20     200     16     40     31.25    

17.   A tie sold for $8.50. The price was reduced by 10%. The new price was

      $7.65     $.85     $9.35     $7.50     $8.40    

18.   A store sells 5 pounds of pears for $2.00. How much will 8 pounds sell at this rate ?

      $16.00     $10.00     $3.20     $20.00     $8.00    

19.   The graph right shows the number of employees in a certain factory during each year from 1973 to 1977. The change from 1974 to 1976 was closest to

      a decrease of 100     a decrease of 50     an increase of 100     a decrease of 50     no change    

20.   A company charges $3 a square foot for cleaning floors. To clean a floor of 10 feet by 12 feet costs

      $120     $12     $30     $40     $360    

(Mostly) Algebra Questions (21-40):

21.   (-3) (7) + (-5) 2 =

      45     4     -37     -26     -9    

22.   The sum of 9x + 4y and 3x + 6y

      12x + 10y     22xy     27x 2 + 22y 2     3x - 2y     36xy + 12xy    

23.   The product of 2x 2y 3 and 3xy 5 is

      6x 3y 8     6x 3y 2     5x 3y 8     5xy 2y     2x 2y 3 + 3xy 5    

24.   Simplifying 3ab - b(3a - 3b)

      3b 2     -3b 2     6ab + 3b 2     6ab - 3b 2     -6ab + 3b 2    

25.   Subtract 3x + 4 from 2x 2 - 5x

      2x 2 - 2x - 4     2x 2 - 2x + 4     2x 2 - 8x - 4     -2x 2 - 2x + 4     -x 2 + 2x + 4    

26.   Simplify (8x - 4) / 4

      2x - 1     2x - 4     2x     -1     2x + 1    

27.   (2a 4b) 3 =

      2a 12b 3     8a 12b 3     2a 13b     6a 4b     6a 12b 3    

28.   Factor 6a 2b + 3ab

      3ab(2a + 1)     3ab(2a - 1)     3a(2ab - b)     3a(2ab + b)     6b(a 2 - 3ab)    

29.   If 3x + 5 = 23, then x equals

      23/3     23/5     6     28/3     18    

30.   A train travels 4 hours at x miles per hour and 5 hours at y miles per hour. The total distance the train travels is

      4x + 5y     9xy     9x + 9y     5x + 4y     9 (x + y)    

31.   If (2x - 1) / 5 = (2x + 4) / 10 , then x equals

      3     4     5     6     7    

32.   What is the value of 4ab + b 2 if a = -3 and b = 2 ?

      28     -20     16     -22     20    

33.   Which one of the following points lies on the graph of the line y = 2x + 3 ?

      (2, 5)     (5, 2)     (0, 3)     (3, 0)     (2, 3)    

34.   An equation for line L is given by

      y = 3     y = -x + 3     y = x + 3     y = x - 3     y = 3x    

35.   Sqrt(3 2 + 4 2) =

      7     25     5     13     3.5    

36.   If 6x - 5 = y , then x equals

      (5 + y) / 6     (5 - y) / 6     5/6 + y     5/6 - y     5x + y    

37.   A store has 30 clerks of whom 40% are black. Without letting anyone go, how many more blacks must be hired so that 50% of all clerks are black ?

      60     6     18     15     12    

38.   The perimeter of a rectangle is 40 feet. Its width is 8 feet. What is its length ?

      12 ft     5 ft     32 ft     24 ft     10 ft    

39.   If x + y = 8 and x - y = 2, then

      x = 3, y = 2     x = 5, y = 3     x = 2, y = 5     x = 3, y = -2     x = -2, y = 3    

40.   A club buys an automobile for $3000 and raffles it off at $5 per ticket. If it wants to make a profit of $500 it must sell

      700 tickets     500 tickets     100 tickets     600 tickets     200 tickets