# Conquering ACT Math and Science 4th

## Educators

### Problem 1

On the basis of the data in Table $1,$ if a person were infected with $B$. henselae after traumatic cat contact, one would predict that symptoms would begin appearing:
A. in $3-4$ weeks.
B. after 30 days.
C. after 3 days.
D. immediately.

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### Problem 2

According to the passage, the symptom that develops most quickly is:
F. fatigue.
G. lymph node swelling.
H. prolonged fever.
J. infection.

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### Problem 3

Suppose that a patient presents with a history of traumatic cat contact and lymph node lesions. The patient has been previously diagnosed with abnormally large lymph nodes. Should this patient be diagnosed with $\mathrm{CSD} ?$
A. Yes, because the patient meets 3 of the 4 criteria listed in Table 2 .
B. Yes, because the patient exhibits at least 1 of the 4 symptoms listed in Table 1
C. No, because the patient only meets 2 of the 4 criteria listed in Table $2 .$
D. No, because the patient must exhibit all of the symptoms listed in Table 1.

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### Problem 4

According to the passage, which symptom requires the longest recovery time?
F. Infection
G. Prolonged fever
H. Swollen lymph nodes
J. Fatigue

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### Problem 5

Which of the following statements about CSD is supported by the information presented in the passage?
A. CSD, though rarely fatal, can cause pain and discomfort in humans that can last up to one year.
B. CSD symptoms generally disappear completely within 2 months of the onset of the disease.
C. CSD, a bacterial disease, is typically spread to humans by cats showing signs of illness.
D. CSD proves fatal in approximately $40 \%$ of cats.

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### Problem 6

In Method $1, D$ equals:
$\mathbf{F} \cdot R+B$
$\mathbf{G} \cdot R-B$
$\mathbf{H} . R \times B$
J. $R \div B$

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### Problem 7

According to Table $1,$ the value of $D$ is most similar for Method 1 and Method 2 when the initial speed is closest to:
A. $9 \mathrm{ft} / \mathrm{sec}$
B. $13 \mathrm{ft} / \mathrm{sec}$
C. $18 \mathrm{ft} / \mathrm{sec}$
D. $22 \mathrm{ft} / \mathrm{sec}$

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### Problem 8

A bicyclist was traveling $9 \mathrm{ft} / \mathrm{sec}$ when she spotted a squirrel in the road and immediately applied her brakes. It took her 1.5 sec from the time she spotted the squirrel until she brought her bicycle to a complete stop. According to Method $2,$ how far did her bicycle travel during the 1.5 sec interval? F. $11 \mathrm{ft}$
G. $13.5 \mathrm{ft}$
H. $22 \mathrm{ft}$
J. $27 \mathrm{ft}$

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### Problem 9

Based on Table $1,$ if the initial speed of a bicycle is $25 \mathrm{ft} / \mathrm{sec}, D,$ according to Method $2,$ will be:
A. less than $20 \mathrm{ft}$.
B. between $20 \mathrm{ft}$ and $33 \mathrm{ft}$.
C. between $33 \mathrm{ft}$ and $40 \mathrm{ft}$.
D. greater than $40 \mathrm{ft}$.

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### Problem 10

Compared to $R$ at an initial speed of $9 \mathrm{ft} / \mathrm{sec}, R$ at an initial speed of $18 \mathrm{ft} / \mathrm{sec}$ is:
F. $1 / 4$ as great.
G. $1 / 2$ as great.
H. 2 times as great.
J. 4 times as great.

Lily A.

### Problem 11

According to the passage, in the 30 seconds following the first x-ray burst at low accretion rates, temperature:
A. decreases only.
B. increases only.
C. increases, then decreases.
D. decreases, then increases.

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### Problem 12

According to Figures 1 and $2,$ at approximately what intensity did the x-ray burst reach a temperature of $10^{9} \mathrm{K} ?$
F. 500 cts $/$ s
G. 1,500 cts $/ \mathrm{s}$
$\mathbf{H} \cdot 2,000 \mathrm{cts} / \mathrm{s}$
J. 3,500 cts $/ \mathrm{s}$

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### Problem 13

Which of the following statements is best supported by the information in the passage?
A. When the accretion rate exceeds $2 \times 10^{-10} \mathrm{M} / \mathrm{yr}$, no x-ray bursts will be observed.
B. As H converts to He over time, the accretion rate decreases.
C. When the accretion layer temperature increases, $\mathrm{C}$ and $\mathrm{O}$ isotope levels in the accretion layer decrease.
D. As H floats upward in the accretion layer, C and O isotope levels on the surface of the neutron star increase.

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### Problem 14

According to Figure $2,$ approximately 60 seconds after the x-ray burst its intensity was closest to:
F. 4,500 cts $/ \mathrm{s}$
G. 3,000 cts $/$ s.
H. 1,000 cts $/$ s.
J. 250 cts $/ \mathrm{s}$.

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### Problem 15

Based on information in the passage, an x-ray burst will occur during which of the following combinations of temperature and intensity?

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### Problem 16

Using relative dating, a scientist has determined that a fossil is approximately 150 million years old. According to the passage, the fossil could be the remains of a:
F. primate.
G. mammoth.
H. frog.
J. whale.

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### Problem 17

According to the passage, the process by which fossils are created begins when:
A. the sediment is compressed.
B. the organism dies.
C. the principle of lateral continuity is applied.
D. the skeleton decays.

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### Problem 18

Periods can be further divided into epochs. The Pleistocene Epoch is known as "The Great Ice Age," and lasted from about 1.6 mya to about 10,000 years ago. Based on the information presented, during which era was the Pleistocene Epoch?
F. Precambrian
G. Paleozoic
H. Mesozoic
J. Cenozoic

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### Problem 19

According to the passage, which of the following places the organisms in order from earliest evolution to most recent evolution?
A. Humans, sea urchins, sharks, algae
B. Sea urchins, sharks, algae, humans
C. Algae, sharks, sea urchins, humans
D. Algae, sea urchins, sharks, humans

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### Problem 20

A student claimed that, during the Devonian Period, the ozone layer formed and the first air-breathing arthropods evolved on land. Is this claim supported by the data presented in Table $1 ?$
F. Yes, because the representative life of the Devonian Period includes spiders and mites, which are air-breathing arthropods.
G. Yes, because, prior to the Devonian Period, spiders and mites did not breathe air.
H. No, because the representative life of the Devonian Period does not include any air-breathing organisms.
J. No, because air-breathing arthropods did not evolve until $417-354$
mya.

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### Problem 21

Suppose that a fossil is found in a layer of rock below another layer of rock that is 200 million years old. According to the passage, the fossil:
A. will be less than 200 million years old.
B. will be exactly 200 million years old.
C. will be more than 200 million years old.
D. will be too old to accurately date using the principle of superposition.

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### Problem 22

Based on the information presented, the cows in Experiment 2 behaved most like which cow in Experiment $1 ?$
F. Cow 1
G. Cow 2
H. Cow 3
J. Cow 4

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### Problem 23

The main purpose of Experiment 2 was to determine how varying the:
A. type of food given to each cow affected the number and duration of rumination bouts.
B. quantity of FS given to each cow affected water intake, food intake, and number of rumination bouts.
C. duration of rumination bouts affected food and water intake.
D. number of meals affected food intake, duration of rumination bouts, and number of rumination bouts.

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### Problem 24

According to the results of the experiments, as the $\%$ FS given to each cow was increased, the number of rumination bouts:
F. increased only for all cows.
G. decreased only for all cows.
H. increased and then decreased for all cows.
J. remained relatively stable for all cows.

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### Problem 25

A student claimed that, overall, meal size decreased over time for the cows in Experiment $2 .$ Do the data support this claim?
A. Yes, because for Cows $5-8,$ the meal size on Day 1 was larger than the meal size on Day 7
B. Yes, because for Cows $1-4,$ the meal size on Day 1 was larger than the meal size on Day 7
C. No, because for Cows $5-8,$ the meal size on Day 7 was larger than the meal size on Day 1
D. No, because for Cows $1-4,$ the meal size on Day 7 was larger than the meal size on Day $1 .$

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