MSAT Sample Test 1

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.   Six million, two thousands three is written

      60,2003     6,000,203     602,003     6,002,003     6,200,003    

2.   2726 ÷ 58 =

      47     407     327     48     418    

3.   John had quiz grades of 10, 8, 3, 7, and 7. What was his average ?

      7     18     35     5     10    

4.   5 hours 20 minutes - 2 hours 35 minutes =

      8 hours 55 minutes     3 hours 45 minutes     2 hours 55 minutes     2 hours 45 minutes     3 hours 15 minutes    

5.   3/5 + 1/3 =

      5/9     4/8     14/15     9/15     1/2    

6.   5 1/4 - 1 3/4 =

      4 2/4     3 1/2     4 1/2     7     6 3/16    

7.   8 ÷ 5 1/3 =

      1 1/2     3/5     2 2/3     1 1/3     2/3    

8.   Which of the following fractions is largest ?

      3/4     5/6     1/2     3/5     3/8    

9.   Which is the smallest ?

      .032     3.0004     .39     .3     .304    

10.   12.381 + 3.97 + 5 =

      66.351     16.356     16.401     21.351     12.783    

11.   60.5 - 5.05 =

      65.55     55.45     45.05     11.15     45.65    

12.   .59 x 6.2 =

      3658     365.8     .3658     3.658     36.58    

13.   Apples sell for $.30 each. How many can you buy for $21.00 ?

      700     630     700     63     70    

14.   What is 85% expressed as a fraction ?

      8500     1 15/100     17/20     5/17     85    

15.   The first family member admitted to see a certain play cost $4 admission. Each additional family member costs $2 admission. How much does it cost a family of 12 to see the play ?

      $24     $50     $26     $46     $48    

16.   40% of 95 is

      8     380     36     38     40    

17.   A typist earns $26 in 8 hours. How much will she earn in 20 hours, at the same rate of pay ?

      $50     $160     $208     $39     $65    

18.   A pair of jeans sell for $35.00 plus 8% sales tax. What is the total price of the jeans ?

      $37.80     $43.00     $32.20     $35.80     $2.80    

19.   The graph at right shows the numbers of Europeans that entered the U.S. each year in the period 1964 to 1969. The total number of Europeans that entered the U.S. in the three years, 1967, 1968, 1969 is closest (in thousands) to ?

      300     400     500     600     700    

20.   If it costs $3 per square foot to clean a carpet. How much would it cost to clean a carpet 7 feet by 8 feet ?

      $59     $200     $168     $186     $195    

(Mostly) Algebra Questions (21-40):

21.   (-3)6 + (-5) 2 =

      -43     43     -7     7     -28    

22.   The sum of 7x - 2y and 5x + 6y is

      12x 2 + 4y 2     2x + 4y     12x + 4y     16xy     35x 2 - 12y 2    

23.   The product of 5b 3c and 2b 4c 5 is

      7b 7c 5     10b 12c 5     10b 7c 6     5b 3c     7b 12c 5    

24.   4xy + 2x(-2y + 4) =

      -4xy + 4     8xy + 4x     8x     -6xy + 4x     -8x    

25.   Subtract   2y + 6   from   x 3   - 4y + 3

      x 3 + 2y + 9     -x 3 + 6y + 3     x 3 - 6y - 3     x 3 - 2y + 9     -x 3 - 2y + 3    

26.   Factor   21y 3 - 14y

      7y 2     7y(3y 2 - 2)     7y(3y 2 - 2y)     7y 3(3y 2 - 2)     3y(7y 2 - 14)    

27.   Simplify:  (8x - 6)/2

      8x - 3     8x     4x     4x - 3     4x - 6    

28.   (7ab 10) 2 =

      14 a 2 b 12     14 a 12 b 12     49 a 2 b 12     49 a 2 b 20     7 a 2 b 12    

29.   If   5a - 3 = 22, then   a =

      25     20     30     5     19/5    

30.   Mary has n nickels plus q quarters. What is the total of Mary's coins (in cents)?

      30(n + q)     5n + 25q     n + 25q     n + q     30nq    

31.   If x/2 - 3 = x/5 , then x =

      0     7     10     5     1    

32.   Which of the following points lies on the graph of   y = 4x - 2 ?

      (0, 0)     (3, 10)     (4, -2)     (6, 2)     (-2, 0)    

33.   (6 2 + 8 21/2 =

      10     52 1/2;     14     100     49    

34.   The graph of   y = 7x - 2 has slope

      -2     5     7     0     2/7    

35.   If 3 + 7x = 2y, then x =

      (2y - 3)/7     (2y + 3)/7     (2y - 7)/3     2y/7 + 3     3/2 + 7y    

36.   What is the value of   2a2 + 3b,  when a = -2 and b = -4

      -4     20     26     -20     4    

37.   Bill would like to have 50% of his stamp collection filled with American stamps. His stamp collection presently has 500 stamps and only 30% are American stamps. How many American stamps must he add to his collection ?

      75     100     250     200     50    

38.   A circular billboard has a radius of 4 feet. The area of the circle is closest to ?

      144 sqaure feet     25 square feet     36 square feet     16 square feet     50 square feet    

39.   If  a + b = 10  and  a - b = 8,   then

      a = 1, b = 9     a = 9, b = 1     a = 3, b = 7     a = -1, b = -9     a = 2, b = -10    

40.   A club's expense for a dance is $1,600, and tickets sell for $15.00 each. How many tickets must be sold to make a profit of $650.00 ?

      250     165     150     205     105