MSAT Sample Test 2

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.   Twenty million four hundred six is written

      20,406,000     20,400,600     20,000,406     20,000,000,406     204,006    

2.   602 - 28 =

      322     574     588     682     573    

3.   1568 ÷ 28 =

      52     53     54     55     56    

4.   The average of 5, 6, 9, 22, and 3 is

      5     6     7     8     9    

5.   Three hundred fifty-two tickets at three dollars apiece were sold to people attending an affair. The expenses amounted to four hundred fifty dollars. The profit after expenses was

      $284     $506     $606     $500     $600    

6.   
 4 hours20 minutes
-1 hour30 minutes

      3 hours 10 minutes     2 hours 10 minutes     1 hour 30 minutes     1 hour 50 minutes     2 hours 50 minutes    

7.   Which is the smallest fraction? Choose from the following: 1/9, 2/8, 1/3, 1/6, 1/4

      1/9     2/8     1/3     1/6     1/4    

8.   3/4 + 1/2 =

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

9.   3 1/2 - 2 1/4 =

      2 1/4     5/4     1 3/4     2/2     1 1/2    

10.   5 1/2 ÷ 3 =

      2 3/4     11/4     5/9     1 5/6     11/5    

11.   Which of these, .49, .50, .05, .005, .049, is the smallest ?

      .49     .50     .05     .005     .49    

12.   2.5 + .07 + .1 =

      0.42     3.3     2.67     3.57     4.2    

13.   6.02 - .1 =

      5.92     5.02     6.01     5.90     5.91    

14.   The fraction written as 5/11 is written as a decimal rounded off to the nearest hundredth as

      5.50     4.50     .46     .45     .44    

15.   Twenty gallons of gasoline at 60.5 cents per gallon cost

      12.32     12.10     13.00     12.40     12.30    

16.   50% of 45 is

      20.50     21.50     19.50     205     22.50    

17.   Thirty percent of a number is 15. The number is

      4.50     50     500     .45     .045    

18.   A dress was selling for $42.00. During a sale it was selling at a discount of 20%. What was the price during the sale?

      $50.40     $41.16     $48.00     $33.60     $32.40    

19.   The following graph shows the number of students receiving various grades on a test. The number of students receiving a grade of 70 or better was

      8     9     10     11     12    

20.   The dimensions of a room are length 40, width 30, and height 20. The area of the floor is

      90     50     70     1200     24,000    

(Mostly) Algebra Questions (21-40):

21.   The sum of -x - 3y and 4x + y

      3x + 2y     5x + 4y     3x - 2y     4x2 + 3y2     -4x2 - 3y2    

22.   ab2(a2bc) =

      a 3b 3c     a 2b 2c     abc     a 2b 2c 2     ab 2 + a 2bc    

23.   2x 2y - 3xy(x - 1) =

      -x 2y + 1     -x 2y - 1     -x 2y + 3xy     x 2y - 3xy     x 2y + 3xy    

24.   a 2bc + 3a 2bc =

      3a 2b 2c 2     4a 2bc     3a 4b 2c 2     4a 2 + b 2c 2     3a 2 + b 2c 2    

25.   (6ab + 3a 2b)/3 =

      2ab + 3a 2b     6ab + a 2b     2ab + a 2b     3a 3b 2     18a 3b 2    

26.   (4a 5b) 3

      12a 15b 3     64a 15b     64a 15b 3     12a 15b 3     64a 8b 4    

27.   3ax 2 + 2ax =

      ax     ax 2     ax 3 - x     ax(3x - 2)     5ax    

28.   (-2) 2 + 3(-4)

      -8     -16     8     48     16    

29.   Solve for x : 2x + 9 = 17

      x = 4     x = 5     x = 6     x = 7     x = 8    

30.   p men earn $3.00 per hour and q men earn $5.00 per hour. The total in dollars that these men earn in one hour is

      8pq     3p + 5q     5p + 3q     3q + 3p     8(p + q)    

31.   The value of x that satisfies the equation x/2 + x/3 = 10 is

      25     2     24     12     50    

32.   If a = -4 and b = 5, 2a + b 2 =

      23     33     2     10     17    

33.   The ordered pair that lies on the graph of line y = 3x + 6 is

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

34.   The equation of the straight line above is

      y = 1/2 x - 1     y = x - 1     y = 2x - 2     2y - x = 2     x + 2y = 2    

35.   Given C = 500 (3  m) if m = 2, C =

      3000     4500     30,000     45,000     1500    

36.   If3x + 2y = 6, y =

      y = -3x + 6     y = 3x + 2     y = -3x + 2     y = -3x + 3     y = -3/2 x + 3    

37.   Two out of five people are under thirty years of age. Out of 170 people how many are under thirty ?

      60     68     72     80     90    

38.   ABC is a right triangle. Find the length given by x.

      4     6     8     10     12    

39.   Given the following set of equations,

x + y = 12,     x - y = 4

The values of x and y that satisfy both equations are as follows:

      x = 8, y = 4     x = 4, y = 8     x = -4, y = 16     x = 16, y = -4     x = 7, y = 3    

40.   A school board has 20 members of which 40% are women. The school board decides that no men will leave but more women will be placed on the board until 50% of the total number of board members are women. How many women must be placed on the board ?

      4     6     8     10     12