Directions: For this section, solve each problem and decide which is the best of the choices given. Check the appropriate answer.
Emily's school offers 3 English classes and 4 History classes for her to choose from. She must choose 3 of these classes to complete her schedule. If exactly one of these must be an English class, how many different combinations of classes are possible for Emily?
2. In the sequence
5, 3, 9/5, ..., the first term is 5 and each term after the first is equal to m times the previous term. Which of the following is true about m?
a and b are positive integers and 9 (3 ) = 3 a , what is b a in terms of b?
4. A class of 20 students borrowed library books for their research projects. Some of the students borrowed 3 books each, and the rest borrowed 2 books each. If a total of 52 books were borrowed, how many of the students borrowed 3 books each?
5. If | x - 3 | = 5, which of the following could be the value of x?
The function y = f (x) is graphed above. If f (x) = 1 and if 5 < x < 6, how many different values of x are possible?
The cube above has a volume of 64 cubic inches. What is the length of segment AB?
The circle graph above gives the distribution of the ages, in years, for a group of 500 people. Which of the following could be the median age, in years, for this group?
Directions: For each question in this section, select the best answer from among the choices given.
The following sentences test correctness and effectiveness of expression. Part of each sentence or the entire sentence is underlined; beneath each sentence are five ways of phrasing the underlined material. Choice A repeats the original phrasing; the other four choices are different. If you think the original phrasing produces a better sentence than any of the alternatives, select choice A; if not, select one of the other choices.
In making your selection, follow the requirements of standard written English; that is, pay attention to grammar, choice of words, sentence construction, and punctuation. Your selection should result in the most effective sentence — clear and precise, without awkwardness or ambiguity.
According to the study, as the body ages, the chance that medications will cause harmful side effects are on the increase.
10. The most versatile skin in nature helps squid ambush prey,
avoiding predators, as well as courting mates, and signaling one another
A. avoiding predators, as well as courting mates, and signaling
B. avoiding predators, courting mates, and they signal
C. to avoid predators, court mates, and for signaling
D. avoid predators, court mates, and they signal
E. avoid predators, court mates, and signal
11. Six stories high, with portholes for eyes and a spiral staircase in each hind leg,
is the elephant-shaped building known as "Lucy," which towered over Margate City, New Jersey, since 1881.
A. is the elephant-shaped building known as "Lucy," which towered over Margate City, New Jersey, since 1881
B. since 1881 it has towered over Margate City, New Jersey, the elephant-shaped building known as "Lucy"
C. the elephant-shaped building known as "Lucy" has towered over Margate City, New Jersey, since 1881
D. towering over Margate City, New Jersey, since 1881 has been the elephant-shaped building known as "Lucy"
E. there is an elephant-shaped building known as "Lucy,"
and it has towered over Margate City, New Jersey, since 1881
12. Male cicadas have a white, drum-like plate called a tymbal on either side of their abdomen,
vibrating rapidly to make a variety of calls.
13. Researchers have found that the eyes of tropical nocturnal sweat bees are about 30 times more sensitive to light than
it is with honeybees.
14. A war is raging between experts who see psychotherapy as an art
as well as them calling for scientifically proven methods.
15. Where the Illinois and Missouri Rivers feed into the Mississippi, the rivers meander,
forming swamps and oxbow lakes and creating a flood plain environment known as the American Bottom.
Directions: For each question in this section, select the best answer to complete the sentence from among the choices given.
1. Having inherited a staff known for ------- resources, the new chairman had no choice but to introduce a number of more efficient practices.
17. Critics of the novelist found his prose style as ------- as his ideas, and insisted that his work was ------- originality and substance.
18. The young reporter was glad to be learning the basics at the local newspaper, but he was becoming bored with ------ news stories and was --------- to cover more exciting action.
19. Mrs. Sorice felt that Ed's ---------- comments during class discussion helped the other students understand the complex ideas presented in the book.
20. Once the audience began to applaud and laugh at her jokes, Vanessa felt more ----------- and her delivery became less ---------.