Flashcards in Practice Test 3 Problems Deck (12):

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MATH LINES AND ANGLES

In the figure above, what is the sum of

a þ b þ c?

(A) 126

(B) 135

(C) 177

(D) 184

(E) 196

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Remember there are 1808 in a line. 123 þ a ¼ 180

Subtract 123: a ¼ 57

116 þ b ¼ 180

Subtract 116: b ¼ 64

124 þ c ¼ 180

Subtract 124: c ¼ 56

a þ b þ c ¼

Substitute: 57 þ 64 þ 56 ¼ 177

(Chapter 11 Lesson 1: Lines and Angles)

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MATH - RATIO AND PROPORTION

B3 If 1

w ¼ 3

16, then what is the value of w?

(A) 4

3

(B) 5

3

(C) 10

3

(D) 16

3

(E) 19

3

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. D 1

w ¼ 3

16

Cross-multiply: 16 ¼ 3w

Divide by 3: 5:33 ¼ w ¼ 16

3

(Chapter 8 Lesson 4: Ratios and Proportions)

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MATH - RATIO AND PROPORTION

The ACME plastic company requires p pounds of plastic to produce c storage containers. How many containers can be produced from x pounds of plastic?

xc/p

px/c

xcp

xp/c

pc/x

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Set up a ratio to solve this problem.

c containers

p pounds ¼ ? containers

x pounds

Cross-multiply: cx ¼ p

Divide by p: cx

p ¼ ?

(Chapter 8 Lesson 4: Ratios and Proportions)

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MATH - PERCENTS ANS SOLVING EQUATIONS

The senior class at Weston High School has

40 fewer boys than girls. If the class has

n boys, then what percent of the senior

class are boys?

(A) n

2n þ 40 %

(B) n

2n 40 %

(C) 100n

2n þ 40 %

(D) 100n

2n 40 %

(E) 100n

n þ 40 %

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16. C Because there are 40 more girls than boys,

the number of girls is n þ 40. If the class has n boys,

then the total number of seniors is

n þ 40 þ n ¼ 2n þ 40. Now find out what percent of

2n þ 40 is n.

n is what percent of 2n þ 40? n ¼ x

100 (2n þ 40)

Divide by (2n þ 40): n

2n þ 40 ¼ x

100

Multiply by 100: 100n

2n þ 40 % ¼ x

(Chapter 8 Lesson 5: Percents)

(Chapter 9 Lesson 1: Solving Equations)

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MATH - WORKING WITH EXPONENTS

If 2k 8w ¼ 220, what is the value of k þ 3w?

(A) 8

(B) 12

(C) 16

(D) 20

(E) 24

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18. D You can only compare exponents if they have

the same base. Change 8w into a base 2 exponential.

Since 8 ¼ 23

, you can substitute 23 in for 8.

2k (23)

w ¼ 220

Simplify: 2k 23w ¼ 220

Combine: 2kþ3w ¼ 220

Eliminate bases: k þ 3w ¼ 20

(Chapter 9 Lesson 3: Working with Exponents)

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READING - Passage

None of my friends understand the care

with which I preserve a scrap of paper that has

no value whatever: it merely keeps alive the

memory of a certain day in my life, and to it

5 I owe a reputation for sentimentality which is

considered unworthy of my social position:

I am the assistant manager of a textile firm. But

I protest the accusation of sentimentality and

am continually trying to invest this scrap of

10 paper with some documentary value. It is a tiny,

rectangular piece of ordinary paper, the size,

but not the shape, of a stamp—it is narrower

and longer than a stamp—and although it

originated in the post office it has not the

15 slightest collector’s value. It has a bright red

border and is divided by another red line into

two rectangles of different sizes; in the smaller

of these rectangles there is a big black R, in the

larger one, in black print, “Du¨ sseldorf” and a

20 number—the number 634. That is all, and the

bit of paper is yellow and thin with age, and

now that I have described it minutely I have

decided to throw it away: an ordinary

registration sticker, such as every post office

25 slaps on every day by the dozen.

And yet this scrap of paper remi

The first paragraph establishes that the narrator regards his "scrap of paper" line 2 with

deep disgust

sad nostalgia

ambivalence

light-hearted amusement

fear

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10. C The ambivalence of the narrator toward the

scrap of paper is clearly demonstrated by the conflict

between his attachment to it and his desire to get rid

of it. He mentions the care with which I preserve (lines

1–2) the paper because of its value in [keeping] alive

the memory of a certain day (lines 3–4) on the one

hand and his decision to throw it away (line 23) on

the other hand.

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MATH : NUMERICAL REASONING

X: {2, 4, 6, 8, 10}

Y: {1, 3, 5, 7, 9}

One number is to be chosen at random from

set X and added to a number chosen at

random from set Y. What is the probability

that the sum will be an odd number?

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4. 1 If you look at set X, all of the members are

even. All of the members of set Y are odd. When an

even number is added to an odd number, the result

is always odd. Therefore the probability that the

sum would be odd is 1.

(Chapter 10 Lesson 3: Numerical Reasoning

Problems)

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MATH - SEQUENCES

24, 2, 4, 24, 2, 4, 24, 2, 4...

The sequence above continues according to

the pattern shown. What is the sum of the

first 20 terms of this sequence?

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7. 10

The first 9 terms are written out for you. Identify the

repeating pattern: 24, 2, 4...

The pattern repeats every 3 digits, and the sum of

each repetition of the pattern is 24 þ 2 þ 4 ¼ 2.

The pattern occurs 20 4 3 ¼ 6.67 times, or 6 with

remainder 2.

The 6 full repetitions have a sum of 6 2 ¼ 12.

The nineteenth term is 24 and the twentieth term is

2, so the overall sum is 12 þ (24) þ 2 ¼ 10.

(Chapter 10 Lesson 7: Sequences)

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WRITING: COORDINATING IDEAS

The news that the house was no longer for sale came as a disappointment to him, in that he had been excited tohave the opportunity to buy the house for his wife as a wedding present.

(A) as a disappointment to him, in that he

had been excited to have the opportunity

(B) as a disappointment to him; he having

had the opportunity

(C) to him as a disappointment; having been

excited as to have had the opportunity

(D) disappointed him; he had been excited

(E) to him as a disappointment, in that he

was excited for the opportunity

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D. The two clauses are not properly coordinated. THe semicolon is used to join two closely related independent clauses in a single sentence. (C) does not work becuase the second clause can not stand alone

Chapter 13 Lesson 15 Coordinating Ideas

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WRITINGL DANGLING PARTICIPLES Upon reviewing the videotape footage of the

convenience store robbery, the verdict was

clear; the members of the jury quickly

agreed that the defendant was guilty.

(A) Upon reviewing

(B) Having been reviewing

(C) When they reviewed

(D) When reviewing

(E) Reviewing

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C This is an error in word order. Choices (A),

(B), (D), and (E) are incorrect because of a dangling

participle. Answer choice (C) is the only one that

eliminates this error.

(Chapter 13 Lesson 7: Dangling and Misplaced

Participles

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According to an outdated survey conducted

in 2002 by a San Francisco-based consulting

firm, Pittsburgh ranked among the cleanest

cities in the world.

(A) Pittsburgh ranked among the cleanest

cities in the world

(B) Pittsburgh ranks among the cleanest

cities in the world

(C) Pittsburgh has been ranked among the

cleanest cities in the world

(D) among the cleanest cities in the world is

ranked Pittsburgh

(E) ranked among the cleanest cities in the

world had been Pittsburgh

### The sentence is correct

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