Cracking the SSAT & ISEE  The Princeton Review 2019
Upper level ISEE practice test
ISEE practice tests
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Chapter 18 Upper level ISEE practice test
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Section 1
Verbal Reasoning
40 Questions 
Time: 20 Minutes 
This section is divided into two parts that contain two different types of questions. As soon as you have completed Part One, answer the questions in Part Two. You may write in your test booklet. For each answer you select, fill in the corresponding circle on your answer document.
Part One — Synonyms
Each question in Part One consists of a word in capital letters followed by four answer choices. Select the one word that is most nearly the same in meaning as the word in capital letters.
SAMPLE QUESTION:
GENERIC:
(A)effortless
(B)general
(C)strong
(D)thoughtful
Sample Answer
Part Two — Sentence Completion
Each question in Part Two is made up of a sentence with one or two blanks. One blank indicates that a word is missing. Two blanks indicate that two words are missing. Each sentence is followed by four answer choices. Select the one word or pair of words that best completes the meaning of the sentence as a whole.
SAMPLE QUESTIONS:
Always , Edgar’s late arrival surprised his friends.
(A)entertaining
(B)lazy
(C)punctual
(D)sincere
Sample Answer
After training for months, the runner felt  that she would win the race, quite different from her  attitude initially.
(A)confident…excited
(B)indifferent…concern
(C)secure…apprehensive
(D)worried…excited
Sample Answer
STOP. Do not go on until told to do so.
Part One — Synonyms
Directions: Select the word that is most nearly the same in meaning as the word in capital letters.
1.GRAVE:
(A)deadly
(B)final
(C)open
(D)solemn
2.FOMENT:
(A)articulate
(B)dissemble
(C)instigate
(D)praise
3.INARTICULATE:
(A)creative
(B)friendly
(C)overly sensitive
(D)tonguetied
4.AMELIORATE:
(A)enjoy
(B)hinder
(C)improve
(D)restrain
5.THESIS:
(A)belief
(B)paper
(C)report
(D)study
6.DEBUNK:
(A)build
(B)discredit
(C)impress
(D)justify
7.DISDAIN:
(A)annoy
(B)contempt
(C)find
(D)hope
8.RETICENT:
(A)anxious
(B)aware
(C)informed
(D)reserved
9.PREVALENT:
(A)fascinating
(B)minority
(C)oldfashioned
(D)predominant
10.SATIATE:
(A)deny
(B)fill
(C)serve
(D)starve
11.CANDID:
(A)defiant
(B)dejected
(C)frank
(D)stingy
12.EMULATE:
(A)brush off
(B)imitate
(C)perplex
(D)permit
13.TAINT:
(A)annoy
(B)handle
(C)infect
(D)master
14.ENIGMA:
(A)effort
(B)mystery
(C)struggle
(D)tantrum
15.DETRIMENTAL:
(A)considerate
(B)desolate
(C)emphatic
(D)injurious
16.METICULOUS:
(A)favorable
(B)finicky
(C)gigantic
(D)maddening
17.JUXTAPOSE:
(A)keep away
(B)place side by side
(C)put behind
(D)question
18.CONGENIAL:
(A)friendly
(B)impressive
(C)inborn
(D)magical
19.MITIGATE:
(A)bend
(B)ease
(C)harden
(D)untangle
20.ELUSIVE:
(A)real
(B)slippery
(C)treacherous
(D)unhappy
Part Two — Sentence Completion
Directions: Select the word or word pair that best completes the sentence.
21.Jane felt  about whether to go to the party or not; on one hand it seemed like fun, but on the other, she was very tired.
(A)ambivalent
(B)apathetic
(C)happy
(D)irritated
22.Like the more famous Susan B. Anthony, M. Carey Thomas  feminism and women’s rights.
(A)championed
(B)defaced
(C)found
(D)gained
23.Morality is not ; cultures around the world have different ideas about how people should be treated.
(A)debatable
(B)helpful
(C)realistic
(D)universal
24.Although Ms. Sanchez  the student that he needed a good grade on the final exam, he did not study at all.
(A)admonished
(B)congratulated
(C)criticized
(D)ridiculed
25.Thomas Jefferson was a man of  talents: he was known for his skills as a writer, a musician, an architect, and an inventor as well as a politician.
(A)abundant
(B)frugal
(C)mundane
(D)overblown
26.Monica could remain  no longer; the injustices she witnessed moved her to speak up.
(A)active
(B)furious
(C)helpful
(D)reticent
27.Louisa May Alcott’s Little Women is really quite ; much of the story is based on her experiences as a young woman growing up in Concord, Massachusetts.
(A)autobiographical
(B)fictional
(C)moving
(D)visual
28.Though his lectures could be monotonous, Mr. Cutler was actually quite  when he spoke to students in small, informal groups.
(A)amiable
(B)pious
(C)prosaic
(D)vapid
29.Craig had  that the day would not go well, and just as he’d thought, he had two pop quizzes.
(A)an antidote
(B)an interest
(C)a premonition
(D)a report
30.Far from shedding light on the mystery, Jason’s  response left people unsure.
(A)impartial
(B)opaque
(C)risky
(D)systematic
31.Although Marie was a talented and  performer, her gifts were often  because she didn’t know how to promote herself.
(A)faithful…supported
(B)insulting…overlooked
(C)promising…satisfied
(D)versatile…ignored
32.Although she was the daughter of a wealthy slaveholder, Angelina Grimke  slavery and  her whole life for the cause of abolition.
(A)desired…picketed
(B)detested…dedicated
(C)hated…wasted
(D)represented…fought
33.Rhubarb is actually quite , requiring a large amount of sugar to make it .
(A)bitter…palatable
(B)flavorful…fattening
(C)nutritious…sickening
(D)unpopular…sticky
34.Because Martha was naturally , she would see the bright side of any situation, but Jack had a  personality and always waited for something bad to happen.
(A)cheerful…upbeat
(B)frightened…mawkish
(C)optimistic…dreary
(D)realistic…unreasonable
35.Although Edgar was not telling the truth, his  succeeded: it  the crowd to demand that Edgar’s competitor be rejected.
(A)antipathy…questioned
(B)condone…encouraged
(C)fallacy…incited
(D)lie…permitted
36.Even though the critics praised the author’s  use of words, they found the text  at a mere 100 pages.
(A)hackneyed…threadbare
(B)improper…laconic
(C)precise…short
(D)sure…banal
37.Erica’s mother could not  why Erica would study a subject as  as the culture of 13th century French winemakers.
(A)fathom…esoteric
(B)intend…bizarre
(C)respond…gruesome
(D)understand…interesting
38.The threat of the storm did not  Ernie’s excitement for the race; he had no  running in even the most unpleasant of weather.
(A)diminish…reservations about
(B)improve…concerns about
(C)lessen…inclination to go
(D)understate…abilities for
39.Always , Mr. Sanford refused to spend any money on anything unnecessary; to him, even a meal at a restaurant was a  excess.
(A)parsimonious…gratuitous
(B)penurious…useful
(C)spendthrift…respectable
(D)stingy…selective
40.To her , Margie was given the unfair label of , even though her love of the arts was far from superficial.
(A)chagrin…dilettante
(B)frustration…adversary
(C)irritation…performer
(D)surprise…mentor
STOP. If there is time, you may check your work in this section only.
Section 2
Quantitative Reasoning
37 Questions 
Time: 35 Minutes 
This section is divided into two parts that contain two different types of questions. As soon as you have completed Part One, answer the questions in Part Two. You may write in your test booklet. For each answer you select, remember to fill in the corresponding circle on your answer document.
Any figures that accompany the questions in this section may be assumed to be drawn as accurately as possible EXCEPT when it is stated that a particular figure is not drawn to scale. Letters such as x, y, and n stand for real numbers.
Part One — Word Problems
Each question in Part One consists of a word problem followed by four answer choices. You may write in your test booklet; however, you may be able to solve many of these problems in your head. Next, look at the four answer choices given and select the best answer.
EXAMPLE 1:
What is the value of the expression
5 + 3 × (10 − 2) ÷ 4 ?
(A) 5
(B) 9
(C)11
(D)16
The correct answer is 11, so circle C is darkened.
Sample Answer
Part Two — Quantitative Comparisons
All questions in Part Two are quantitative comparisons between the quantities shown in Column A and Column B. Using the information given in each question, compare the quantity in Column A to the quantity in Column B, and chose one of these four answer choices:
(A)The quantity in Column A is greater.
(B)The quantity in Column B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
EXAMPLE 2: 
Column A 
Column B 
50% of 40 
20% of 100 
Sample Answer
The quantity in Column A (6) is the same as the quantity in Column B (6), so circle C is darkened.
EXAMPLE 3: 
y is any real nonzero number 

Column A 
Column B 

y 
Sample Answer
Since y can be any real number (including an integer or a fraction), there is not enough information given to determine the relationship, so circle D is darkened.
Part One — Word Problems
Directions: Choose the best answer from the four choices given.
1.Which of the following is greatest?
(A)0.0100
(B)0.0099
(C)0.1900
(D)0.0199
2.Which of the following is NOT the product of two prime numbers?
(A)33
(B)35
(C)45
(D)91
3.If x, y, and z are consecutive even integers, then what is the difference between x and z ?
(A)0
(B)1
(C)2
(D)4
Questions 45 refer to the following chart.
Clothing Closeout
Dresses 
Originally $120 
Now $90 
Coats 
Originally $250 
Now $180 
Shoes 
Originally $60 
Now $40 
Hats 
Originally $40 
Now $20 
4.Which of the items for sale has the greatest percent discount?
(A)Dresses
(B)Coats
(C)Shoes
(D)Hats
5.Purchasing which item will save the buyer the most dollars?
(A)Dresses
(B)Coats
(C)Shoes
(D)Hats
6.Amy is three years older than Beth and five years younger than Jo. If Beth is b years old, how old is Jo, in terms of b?
(A)2b + 3
(B)2b — 3
(C)b + 4
(D)b + 8
7.If x is divided by 5, the remainder is 4. If y is divided by 5, the remainder is 1. What is the remainder when (x + y) is divided by 5 ?
(A)0
(B)1
(C)2
(D)3
8.If x is a factor of p and y is a factor of q, then which of the following is true?
(A)pq is a factor of xy.
(B)pq is a multiple of x.
(C)p is a factor of xy.
(D)p is a multiple of xy.
9.Find the maximum value of y when y = 3x^{2} + 2 and —3 ≤ x ≤ 2.
(A) 2
(B)14
(C)29
(D)50
10.If b is a positive integer and (x + 5)^{2} = x^{2} + bx + 25, then b is equal to what value?
(A) 5
(B)10
(C)20
(D)25
11.J is a whole number divisible by 4. J is also divisible by 3. Which of the following is NOT a possible value for J ?
(A)12
(B)24
(C)30
(D)36
12.The product of 0.48 and 100 is approximately
(A) 0.5
(B) 4.8
(C) 5
(D)50
13.If the length of a rectangle is increased by 20% and the width of the rectangle is decreased by 10%, what is the percent increase of the area of the rectangle?
(A) 8%
(B) 9%
(C)10%
(D)12%
14.Square ACEG shown above is composed of 4 squares with sides of 1 meter each. Traveling only on the lines of the squares, how many different routes from A to D that are exactly 3 meters long are possible?
(A)2
(B)3
(C)4
(D)5
15.If, in triangle ABC, the measure of angle B is greater than 90°, and AB = BC, what is a possible measure for angle C in degrees?
(A)35
(B)45
(C)60
(D)It cannot be determined from the information given.
16.Chumway Motors discounts the cost of a car by 10% and then runs another special oneday deal offering an additional 20% off the discounted price. What discount does this represent from the original price of the car?
(A)28%
(B)30%
(C) 40%
(D)72%
17.David scored 82, 84, and 95 on his first three math tests. What score does he need on his fourth test to bring his average up to a 90 ?
(A)90
(B)92
(C)96
(D)99
18.Howard has a coin jar filled with only quarters and nickels. If he has a total of 23 coins that equal $2.15, which of the following could be the number of nickels Howard has in the jar?
(A) 5
(B)10
(C)18
(D)20
19.If p^{2} + q^{2} = 25 and 2pq = 10, what is the value of (p — q)^{2} ?
(A)250
(B)100
(C) 50
(D) 15
20.The ratio of yellow paint to red paint to white paint needed to make a perfect mixture of orange paint is 3 to 2 to 1. If 36 gallons of orange paint are needed to paint a cottage, how many gallons of red paint will be needed?
(A) 2
(B) 6
(C)12
(D)15
Part Two — Quantitative Comparisons
Directions: Using all information given in each question, compare the quantity in Column A to the quantity in Column B. All questions in Part Two have these answer choices:
(A)The quantity in Column A is greater.
(B)The quantity in Column B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
Column A 
Column B 

21. 
25% of 50 
50% of 25 
A piggy bank is filled with nickels and pennies, totaling $2.10, and the number of pennies is double the number of nickels. (Note: 1 nickel = $0.05 and 1 penny = $0.01.) 

Column A 
Column B 

22. 
The total value of the nickels 
$1.75 
360 is the product of 4 consecutive integers. 

Column A 
Column B 

23. 
The greatest of the 4 consecutive integers 
6 
Column A 
Column B 

24. 
x^{2} 
x^{3} 
Column A 
Column B 

25. 
8 − 20 ÷ 2 × 5 + 3 
20 
(x + 2)(x — 2) = 0
Column A 
Column B 

26. 
x 
2 
Column A 
Column B 

27. 
+ 
Column A 
Column B 

28. 
3^{12} 
9^{6} 
The volume of a solid cube is 27.
Column A 
Column B 

29. 
The height of the cube 
3 
Column A 
Column B 

30. 
x 
y + 2 
Column A 
Column B 

31. 
The sum of the integers from 1 to 100, inclusive 
The sum of the even integers from 1 to 200, inclusive 
= 1.5
Column A 
Column B 

32. 
x 
5 
Column A 
Column B 

33. 
A card is drawn from a standard deck and a 6sided number cube, numbered 1 to 6, is rolled. 

Column A 
Column B 

34. 
If a king is drawn from the deck, the probability of rolling an even number. 
If a spade is drawn from the deck, the probability of rolling a number less than 4 
When they are in season, a farmer sells turnips for $1.80 per bunch. At the beginning of the offseason, this farmer increases the price per bunch by 10%; however, at the end of the offseason, the farmer decreases by 10% the price of turnips per bunch. 

Column A 
Column B 

35. 
The price of turnips per bunch at the end of the offseason 
$1.80 
A box contains 4 cookies, 5 brownies, and 6 doughnuts. Two items are removed from the bag. 

Column A 
Column B 

36. 
The probability that both items are brownies 
The probability that one item is a cookie and the other is a doughnut 
A triangle has two sides measuring 4 and 6, respectively. 

Column A 
Column B 

37. 
The greatest possible area of the triangle 
12 
STOP. If there is time, you may check your work in this section only.
Section 3
Reading Comprehension
36 Questions 
Time: 35 Minutes 
This section contains six short reading passages. Each passage is followed by six questions based on its content. Answer the questions following each passage on the basis of what is stated or implied in that passage. You may write in the test booklet.
Questions 1—6
1.The primary purpose of the passage is to
(A)blame the British for fighting an unnecessary war
(B)celebrate the tactical military maneuvers of Andrew Jackson
(C)convince readers that peace treaties are often worthless
(D)provide greater details about the end of a historical conflict
2.The passage suggests that all of the following occurred near the end of the War of 1812 EXCEPT
(A)Andrew Jackson ignored the orders of President Madison
(B)Communication with the battle line commanders was slow
(C)The Treaty of Ghent was signed
(D)Weather conditions hurt the efforts of the British soldiers
3.Which of the following is implied by the passage?
(A)Andrew Jackson did not know the difference between a signed treaty and a ratified treaty.
(B)President Madison did not realize the Battle of New Orleans was possible.
(C)The British may have had a chance for victory with better conditions and preparation.
(D)The British troops knew of the treaty but attacked anyway.
4.According to the passage, New Orleans was a strategic battle site because
(A)it was the only location where American forces were better supplied than the British forces
(B)the American forces would be trapped in the swamplands if they lost
(C)the British were attempting to defeat a more numerous force
(D)the Mississippi River was nearby and control of it was important
5.After which of the following was the War of 1812 officially at an end?
(A)Both armies signing the Treaty of Ghent
(B)British retreat from the Mississippi
(C)The Battle of New Orleans
(D)The Senate’s ratification of the Treaty of Ghent
6.According to the passage, a treaty
(A)cannot be signed by the president without the consent of the Senate
(B)has sometimes been ignored by those in battle
(C)is always used to end a war
(D)is not effective until it is ratified by the Senate
Questions 7—12
7.The best title for this passage would be
(A)“A Comparison of Several Early Real Estate Board Games”
(B)“How Hasbro Introduced Monopoly to the World”
(C)“The Early History of Charles Darrow’s Monopoly”
(D)“Two Views of Charles Darrow’s Life”
8.It is suggested by the passage that
(A)Darrow decided to make his game less complex after initially meeting with Parker Brothers
(B)Darrow had no other skills to use after the stock market crash of 1929
(C)Parker Brothers probably doubted that a complex game could sell well
(D)Philadelphia was the only major city where he could sell his game
9.As used in line 49, “regular” refers to people who
(A)rent rather than own property
(B)are in the top 1% of wealthiest people
(C)love to play board games
(D)are in a lower economic class than millionaires
10.With which of the following would the author be LEAST likely to agree?
(A)Charles Darrow chose to continue to sell his game despite criticisms.
(B)Charles Darrow is not the first person to conceive of a boardbased real estate game.
(C)Charles Darrow preferred to achieve his goals without the help of others.
(D)Some of the things Darrow chose to do helped make his game sell better than other games.
11.Which of the following was NOT mentioned by the author as contributing to the ultimate success of Monopoly?
(A)Darrow’s efforts to initially sell the game on his own
(B)The addition of specific pieces and a playing board in each set
(C)The adjustments Parker Brothers made to the game
(D)The enjoyment people get in pretending to be millionaires
12.The author suggests in the third paragraph that
(A)certain errors in Monopoly served to limit its appeal
(B)Charles Darrow sold his game in Philadelphia because he knew it would be popular there
(C)Monopoly was initially too complex to be popular
(D)some people doubted that Monopoly would be popular
Questions 13—18
13.The author mentions “other languages” in line 41 in order to point out that
(A)Englishlanguage spelling bees are unnecessarily complex
(B)one challenge in Englishlanguage spelling bees is the number of words that can be tested
(C)spelling bees are at least 90 years old
(D)words are harder to spell in English than in any other language
14.According to the passage, what is a major difference between the first National Spelling Bee and today’s competition?
(A)Spellers in the past did not expect the competition to grow so large.
(B)The competition no longer focuses on only English words.
(C)There are more competitors.
(D)The words used today are significantly harder.
15.In line 51, the word “myriad” most nearly means
(A)confusing
(B)dangerous
(C)linguistic
(D)numerous
16.Which of the following can be inferred from the passage?
(A)A competitor at the National Spelling Bee has already won at least one smaller spelling bee.
(B)E.W. Scripps Company desires to eliminate poor spelling in America.
(C)Frank Neuhauser would not do well in today’s competition.
(D)The competition has grown too large.
17.The author of the passage intends to
(A)compare the presentation of the current National Spelling Bee with the structure in the past
(B)contrast the English language with other languages
(C)investigate the role that vocabulary plays in our lives
(D)review the history and current form of the National Spelling Bee
18.The author’s attitude toward winners of the National Spelling Bee is
(A)admiring
(B)critical
(C)indifferent
(D)questioning
Questions 19—24
19.The purpose of the question in the first paragraph is to
(A)illustrate how little we know about black holes
(B)indicate the source of the facts quoted in the passage
(C)interest the reader in the topic of the passage
(D)set a goal for independent research
20.According to the passage, which of the following causes a collapsing star to become a neutron star?
(A)Mass greater than 1.7 times that of our sun
(B)Mass less than 1.7 times that of our sun
(C)Remaining fuel that can be used in fusion
(D)Slow, brief shrinkage process
21.The passage suggests that if we were to send a satellite to the horizon of a black hole, it would probably
(A)begin spinning uncontrollably and fly apart
(B)be immediately repelled from the black hole
(C)be pulled into the black hole and not come back out
(D)enter, and then immediately exit, the black hole
22.According to the passage, which of the following is an effect of the process of fusion?
(A)The star does not immediately collapse.
(B)The star generates hydrogen.
(C)The star survives millions of years longer than average.
(D)The white dwarf fails to produce light.
23.Black holes appear black because
(A)only a little energy escapes them
(B)only one galaxy contains them
(C)they are extraordinarily large
(D)they do not eject light they have absorbed
24.Which of the following best describes the organization of the passage?
(A)It discusses the biggest, heaviest celestial bodies before moving on to the smaller, lighter ones.
(B)It introduces the topic and then narrates chronologically the process by which stars become black holes.
(C)It uses a personal story to introduce the topic, and then compares and contrasts black holes.
(D)It uses the example of one specific black hole in order to generalize.
Questions 25—30
25.The main purpose of the passage is to
(A)portray Alice Paul as an integral figure of the Women’s Suffrage movement
(B)attribute the adoption of the 19th Amendment solely to the Night of Terror
(C)describe the actions taken by part of the American public to secure equal voting rights
(D)demonstrate the terrible actions of guards against women’s rights protestors
26.The word “exposed” as used in line 53 most closely means
(A)unprotected
(B)bare
(C)revealed
(D)buried
27.Which of the following best expresses the author’s attitude toward the percentage of voter turnout mentioned in the first paragraph?
(A)Shock
(B)Reassurance
(C)Pessimism
(D)Terror
28.According to the author, the most probable legacy of the Night of Terror is
(A)President Wilson’s pardon of the protestors
(B)the imprisonment of the 44 guards who attacked the protesters
(C)the desired delay of the 19th amendment for several years
(D)the right to vote for women
29.Which of the following does the passage imply was a reason for the protestor’s hunger strike?
(A)They were attempting to improve the environment of their captivity.
(B)They were resisting being forcefed at the prison.
(C)They wanted to be able to use the sidewalk for peaceful protest.
(D)They were unable to eat after being choked during the Night of Terror.
30.The author believes that the National Women’s Party’s tactics are best described as
(A)calm but pointless
(B)disorderly but successful
(C)violent and immediate
(D)nonviolent and effective
Questions 31—36
31.The author’s tone is best described as
(A)nostalgic
(B)admiring
(C)pitying
(D)scornful
32.The purpose of the last line of the first paragraph (“He is Stephen Hawking”) is to
(A)reveal an answer to a riddle
(B)specify a subject who has already been introduced
(C)answer a question the author asked earlier
(D)name the greatest living scientist
33.Which of the following describes Stephen Hawking’s attitude toward his disease?
(A)Actively nonchalant
(B)Bitterly irate
(C)Ironically appreciative
(D)Unreservedly giddy
34.According to the second paragraph, Stephen Hawking was seen by some as
(A)often disrespectful
(B)particularly brilliant
(C)somewhat lazy
(D)uniquely energetic
35.The passage does all of the following EXCEPT
(A)demonstrate a connection between Stephen Hawking’s disease and his success as a physicist
(B)describe a goal Hawking hopes to achieve
(C)note particular theories developed by Hawking
(D)set forth educational institutions attended by Hawking
36.The passage can best be described as focusing primarily on
(A)biographical details
(B)medical diagnoses
(C)scientific discoveries
(D)technological advancements
STOP. If there is time, you may check your work in this section only.
Section 4
Mathematics Achievement
47 Questions 
Time: 40 Minutes 
Each question is followed by four suggested answers. Read each question and then decide which one of the four suggested answers is best.
Find the row of spaces on your answer document that has the same number as the question. In this row, mark the space having the same letter as the answer you have chosen. You may write in your test booklet.
SAMPLE QUESTION:
What is the perimeter of an isosceles triangle with two sides of 4 cm and one side of 6 cm?
(A)10 cm
(B)14 cm
(C)16 cm
(D)24 cm
The correct answer is 14 cm, so circle B is darkened.
Sample Answer
STOP. Do not go on until told to do so.
1.Which of the following pairs of numbers are the two different prime factors of 36 ?
(A)2 and 3
(B)3 and 4
(C)3 and 12
(D)4 and 9
2.For what nonzero value of x will the expression be equal to 0 ?
(A)—3
(B)—2
(C) 1
(D) 3
3.Two positive whole numbers are in a ratio of 3 to 4. If the smaller of the two numbers is 9, what is the average of the two numbers?
(A) 4
(B)10
(C)10.5
(D)12
4.The four angles in the figure above share a common vertex on a straight line. What is the value of b when a equals 42° ?
(A)38°
(B)40°
(C)42°
(D)46°
5.What is 85% of 50 ?
(A)150.75
(B)135
(C) 42.5
(D) 39
6.A set of three positive integers has a sum of 11 and a product of 36. If the smallest of the three numbers is 2, what is the largest?
(A)2
(B)4
(C)6
(D)9
7.What is twothirds of onehalf?
(A)
(B)
(C)
(D)
8.If the distance around an ovalshaped track is 400 meters, how many laps does a runner have to run to cover a distance of 4 kilometers?
(1 kilometer = 1,000 meters)
(A) 4
(B) 10
(C) 15
(D)1,000
9.In triangle ABC shown above, the length of side AB is
(A) 5
(B) 7
(C)11
(D)14
10.Find the value of .
(A)9.0 × 10^{10}
(B)9.0 × 10^{9}
(C)9.0 × 10^{4}
(D)9.0 × 10^{3}
11.MegaMusic decides to decrease the price of a digital song from $1.60 to $1.20. The percent decrease for this digital song is
(A)20%
(B)25%
(C)33%
(D)40%
12.There are x students in Mrs. Sproul’s class, 4 fewer than twice as many as are in Mrs. Puccio’s class. If there are y students in Mrs. Puccio’s class, then what is the value of y in terms of x ?
(A) + 2
(B)2x + 4
(C)2x — 4
(D) — 4
Questions 13—14 refer to the following definition.
For all real numbers x,
#x = x^{2} if x is negative;
#x = 2x if x is positive.
13.#(—6) — #(6) =
(A)—24
(B) 16
(C) 24
(D) 30
14.What is the value of #[#x — #y] when x = 3 and y = —4 ?
(A)—10
(B) 12
(C) 32
(D)100
15.In the figure above, what is the value of x in terms of y ?
(A)y
(B)90 — y
(C)90 + y
(D)180 — y
16. =
(A)
(B)
(C)
(D)2abc
17.In Mr. Johanessen’s class, of the students failed the final exam. Of the remaining students in the class, scored an A. What fraction of the whole class passed the test but scored below an A?
(A)
(B)
(C)
(D)
18.When buying new clothes for school, Rena spends $20 more than Karen and $50 more than Lynn does. If Rena spends r dollars, then what is the cost of all three of their purchases in terms of r ?
(A)r + 70
(B)
(C)3r — 70
(D)r + 210
19.In a group of 100 children, there are 34 more girls than there are boys. How many boys are in the group?
(A)33
(B)37
(C)67
(D)68
20.Samantha made a chart of her students’ favorite types of books.
FAVORITE TYPE OF BOOK
Type of Book 
Number of Students 
Mystery 
8 
Fantasy 
20 
SciFi 
10 
Other 
2 
A circle graph is made using the data. What is the central angle of the portion of the graph representing SciFi?
(A)10°
(B)25°
(C)45°
(D)90°
21.At Nicholas’s Computer World, computers usually sold for $1,500 are now being sold for $1,200. What fraction of the original price is the new price?
(A)
(B)
(C)
(D)
22.If = , then
(A)xy = 12
(B)3y = 4x
(C) =
(D)3x = 4y
23.The ratio of boys to girls at Delaware Township School is 3 to 2. If there is a total of 600 students at the school, how many are girls?
(A)120
(B)240
(C)360
(D)400
24.150% of 40 is
(A)30
(B)40
(C)50
(D)60
25.Jane studied for her math exam for 4 hours last night. If she studied as long for her English exam, how many hours did she study all together?
(A)3
(B)4
(C)6
(D)7
26. =
(A) 0.23
(B) 2.3
(C) 23
(D)230
27.Nicole was able to type 35 words per minute. If she increased her speed to 42 words per minute, what was the percent increase in her typing speed?
(A)16%
(B)20%
(C)70%
(D)71%
28.The first term in a series of numbers is 50. Each subsequent term is onehalf the term before it if the term is even, or onehalf rounded up to the next whole number if the term is odd. What is the third term in this sequence?
(A)13
(B)24
(C)30
(D)40
29.Sophia recorded the number of siblings each student in her class has in the table below.
SIBLINGS OF EACH STUDENT
Number of Siblings 
Number of Students with that Number of Siblings 
0 
6 
1 
10 
2 
8 
3 
6 
4 
1 
5 
1 
What is the mode of the data?
(A) 1
(B) 2
(C) 6
(D)10
30.On the number line shown above, if segment BD has a length of 18, segment AB has a length of 5, and segment CD has a length of 12, then segment AC has a length of
(A) 6
(B)11
(C)17
(D)23
31.The decimal representation of 2 + 40 + is
(A)24.1
(B)24.01
(C)42.1
(D)42.01
32.What is the least possible integer divisible by 2, 3, 4, and 5 ?
(A)30
(B)40
(C)60
(D)90
33.If a car travels at x miles per hour, in terms of x and y, how long does it take it to travel y miles?
(A)
(B)xy
(C)
(D)
34.Triangles ABC and PQR are similar. The length of BC is 4 and the length of QR is 12. If the area of ABC is 6, what is the area of PQR ?
(A)54
(B)24
(C)18
(D)15
35.James buys one halibut steak and two salmon steaks for $30.00. Dave buys two halibut steaks and four salmon steaks for $60.00. If halibut steaks cost x dollars each and salmon steaks cost y dollars each, what is the value of x ?
(A)$5.00
(B)$8.00
(C)$10.00
(D)It cannot be determined from the information given.
Question 36 refers to the following definition.
For all positive integer values of x,
(x) = x if x is even;
(x) = 2x if x is odd.
36.(1 + 5) =
(A)2
(B)3
(C)4
(D)6
37.Which of the following equals 2(4z + 1) ?
(A)2z +
(B)2z + 1
(C)4z + 2
(D)8z + 2
38.The stemandleaf plot shown represents the length, in minutes, of movies that Janet watched over the summer.
Stem 
Leaf 
10 
8 9 
11 
1 2 2 5 5 6 7 
12 
0 3 4 8 
13 
2 4 6 6 7 7 9 
14 
2 3 3 8 9 9 
15 
7 
What is the median length, in minutes, of the movies Janet watched?
(A)130
(B)132
(C)133
(D)136
39.Zoo A has 3 monkeys. Zoo B has 8 monkeys. Zoo C has 16 monkeys. What is the average number of monkeys at the three zoos?
(A) 3
(B) 7
(C) 9
(D)27
40.A steak costs $4 more than a hamburger, and a hamburger costs $4 more than a grilled cheese sandwich. If six grilled cheese sandwiches cost 2x dollars, how much will 4 steaks and 2 hamburgers cost?
(A)2x + 40
(B)2x + 48
(C)6x + 34
(D)12x + 40
41.What is the solution set to the inequality 3 − 2x > 9 ?
(A)—3 < x < 6
(B)—6 < x < 3
(C)x < —3 or x > 6
(D)x < —6 or x > 3
42.100xy is what percent of xy ?
(A) 10
(B) 100
(C) 1,000
(D)10,000
43.If Matt’s home is four miles from school and Laura’s home is eight miles from school, then the distance from Matt’s home to Laura’s home is
(A)4 miles
(B)8 miles
(C)12 miles
(D)It cannot be determined from the information given.
44.Two partners divide a profit of $2,000 so that the difference between the two amounts is half of their average. What is the ratio of the larger to the smaller amount?
(A)6:1
(B)5:3
(C)4:1
(D)2:1
45.What is the total value, in cents, of j coins worth 10 cents each and j + 5 coins worth 25 cents each?
(A)35j + 125
(B)35j + 5
(C)10j + 130
(D)2j + 5
46.A box of coins has 6 pennies, 3 nickels, 4 dimes, and 5 quarters. If two coins are selected at random, what is the probability that the first coin is a penny and the second coin is a quarter?
(A)
(B)
(C) ×
(D) ×
47.The formula for the volume of a cone is πr^{2}h, where r is the radius of the circular base and h is the height of the cone. What is the radius of a cone with a volume of 12π and a height of 4 ?
(A)3
(B)4
(C)8
(D)9
STOP. If there is time, you may check your work in this section only.
Essay
You will have 30 minutes to plan and write an essay on the topic printed on the other side of this page. Do not write on another topic. An essay on another topic is not acceptable.
The essay is designed to give you an opportunity to show how well you can write. You should try to express your thoughts clearly. How well you write is much more important than how much you write, but you need to say enough for a reader to understand what you mean.
You will probably want to write more than a short paragraph. You should also be aware that a copy of your essay will be sent to each school that will be receiving your test results. You are to write only in the appropriate section of the answer sheet. Please write or print so that your writing may be read by someone who is not familiar with your handwriting.
You may make notes and plan your essay on the reverse side of the page. Allow enough time to copy the final form on to your answer sheet. You must copy the essay topic onto your answer sheet, on this page, in the box provided.
Please remember to write only the final draft of the essay on this page and this page of your answer sheet and to write it in blue or black pen. Again, you may use cursive writing or you may print. Only this page and this page will be sent to the schools.
Directions continue on next page.
REMINDER: Please write this essay topic on the first few lines of page 3 of your answer sheet.
Essay Topic
If you could change one thing about your country, what would you change and why?
· Only write on this essay question
· Only page 3 and page 4 will be sent to the schools
· Only write in blue or black pen