HSPA Mini Sample Test #5 Name:__________________________________ 1. For 45 cents, a snack‐foot vending machine dispenses a small bag of chips which weights one and one‐eighth ounces. At this rate, the cost of one pound of these chips would be between: A. $2.30 and $2.75 B. $4.30 and $4.75 C. $6.30 and $6.75 D. $8.30 and $8.75 2. The graph of function f(x) is given below: Which graph would represent f(x) ‐ 2? 3. A right triangle has two sides of length 2 cm and 5 cm. Which of the following could be the length of the third side? I. 3 cm
II. √21 cm
III. √29
A. I only
B. III Only
C. I and III
D. II and III
1
3
4. The tenth term of the geometric sequence ,1,3,9,27,... is: A. 2,187 B. 6,561 C. 19,683 D. 59,049 5. Which one of the following points is included in the region defined by 2
8 and 4
12? A. (‐2,7) B. (‐2,4) C. (‐2,‐2) D. (8,12) 6. Suppose that means 3 means means 1 What would be the value of: A. 13 B. 15 C. 23 D. 26 7. Which of the following figures does NOT have both line symmetry and rotational symmetry? 8. The Burger Baron Restaurant is open from 6 am until midnight and serves all meals. Every half hour during an 8‐hour period last Tuesday, Ronald counted the number of customers in that restaurant. He graphed his data but forgot to label the time of day axis. Which of the following time of day axes is most likely labeled the way it should have been in Ronald’s graph? A. B. C. D. 3 4 5 6 7 8 9 10 11 p.m. 10 11 12 1 2 3 4 5 6 a.m. p.m. 12 1 2 3 4 5 6 7 8 p.m. 6 7 8 9 10 11 12 1 2 a.m. p.m. 9. A card is drawn at random form a standard deck of 52 playing cards. The card is put back in the deck, and a card is again drawn at random. Find the probability that the first card is a diamond and the second card is also a diamond. A.
1
2
B. 1
4
C. 3
13
D. 1
16
10. The first three stages in the construction of a Sierpinski Triangle are shown. The initial triangle is an equilateral triangle with sides of 1 unit long. The cut‐out triangles are formed by connecting the midpoints of the sides of the shaded triangles. Which of the following formulas represents the number of shaded triangles in the stage of the fractal? A. 3n n
B. 3 C. 3
n +1
D. 3
n −1
OPEN‐ENDED QUESTION Princeton University is choosing a team of upperclassmen to represent the school at a prestigious event. Of all the students in the school, 8 seniors and 4 juniors volunteered. A. The Dean of Student Affairs finds out that the team can only consist of 6 students. How many possible combinations of 6 students could she choose from the 12 student volunteers? Show your work. B. If Dean Smith decided to send 4 seniors and 2 juniors, how many combinations of students are possible? Show your work. C. After consulting with the University President, Dean Smith decided that at least 1 junior should be on the team. With a total of 6 team members, fill in the table below. # of Juniors on the Team Number of Combinations 1 2 3 4