New SAT Math (Calculator) Practice Test 19

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Câu 1: 1 điểm

Which of the following graphs best shows a strong negative association between d and t ?

A.  
A
B.  
B
C.  
C
D.  
D
Câu 2: 1 điểm

If 16 + 4x is 10 more than 14, what is the value of 8x ?

A.  

2

B.  

6

C.  

16

D.  

80

Câu 3: 1 điểm

Hình ảnh

In the figure above, lines A and m are parallel and lines s and t are parallel. If the measure of ∠1 is 35°, what is the measure of ∠2 ?

A.  

35°

B.  

55°

C.  

70°

D.  

145°

Câu 4: 1 điểm

If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5 ?

A.  

6

B.  

15

C.  

20

D.  

23

Câu 5: 1 điểm

John runs at different speeds as part of his training program. The graph shows his target heart rate at different times during his workout. On which interval is the target heart rate strictly increasing then strictly decreasing?

Hình ảnh

A.  

Between 0 and 30 minutes

B.  

etween 40 and 60 minutes

C.  

Between 50 and 65 minutes

D.  

Between 70 and 90 minutes

Câu 6: 1 điểm

refer to the following information.

A botanist is cultivating a rare species of plant in a controlled environment and currently has 3000 of these plants. The population of this species that the botanist expects to grow next year, Nnext year, can be estimated from the number of plants this year, Nthis year, by the equation below.

Nnextyear=Nthisyear+0.2(Nthisyear)(1NthisyearK)N_{next\, year}=N_{this\, year}+0.2(N_{this\, year})\left ( 1-\frac{N_{this\, year}}{K} \right )

The constant K in this formula is the number of plants the environment is able to support.

The botanist would like to increase the number of plants that the environment can support so that the population of the species will increase more rapidly. If the botanist’s goal is that the number of plants will increase from 3000 this year to 3360 next year, how many plants must the modified environment support?

Câu 7: 1 điểm

refer to the following information.

A botanist is cultivating a rare species of plant in a controlled environment and currently has 3000 of these plants. The population of this species that the botanist expects to grow next year, Nnext year, can be estimated from the number of plants this year, Nthis year, by the equation below.

Nnextyear=Nthisyear+0.2(Nthisyear)(1NthisyearK)N_{next\, year}=N_{this\, year}+0.2(N_{this\, year})\left ( 1-\frac{N_{this\, year}}{K} \right )

The constant K in this formula is the number of plants the environment is able to support.

According to the formula, what will be the number of plants two years from now if K = 4000 ? (Round your answer to the nearest whole number.)

Câu 8: 1 điểm

Hình ảnh

In the figure above, point O is the center of the circle, line segments LM and MN are tangent to the circle at points L and N, respectively, and the segments intersect at point M as shown. If the circumference of the circle is 96, what is the length of minor arc LN\overset{\frown}{LN} ?

Câu 9: 1 điểm

a = 18t + 15

Jane made an initial deposit to a savings account.Each week thereafter she deposited a fixed amount to the account. The equation above models the amount a, in dollars, that Jane has deposited after t weekly deposits. According to the model, how many dollars was Jane’s initial deposit? (Disregard the $ sign when gridding your answer.)

Câu 10: 1 điểm

In one semester, Doug and Laura spent a combined 250 hours in the tutoring lab. If Doug spent 40 morehours in the lab than Laura did, how many hours did Laura spend in the lab?

Câu 11: 1 điểm

refer to the following information.

Hình ảnh

The graph above displays the total cost C, in dollars, of renting a boat for h hours.

What does the C-intercept represent in the graph?

A.  

The initial cost of renting the boat

B.  

The total number of boats rented

C.  

The total number of hours the boat is rented

D.  

The increase in cost to rent the boat for each additional hour

Câu 12: 1 điểm

Hình ảnh

The table above lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. The outlier measurement of 24 inches is an error. Of the mean, median, and range of the values listed, which will change the most if the 24-inch measurement is removed from the data?

A.  

Mean

B.  

Median

C.  

Range

D.  

They will all change by the same amount.

Câu 13: 1 điểm

Hình ảnh

A group of tenth-grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?

A.  

Females taking Geometry

B.  

Females taking Algebra II

C.  

Males taking Geometry

D.  

Males taking Algebra I

Câu 14: 1 điểm

Hình ảnh

Based on the histogram above, of the following, which is closest to the average (arithmetic mean) number of seeds per apple?

A.  

4

B.  

5

C.  

6

D.  

7

Câu 15: 1 điểm

Which of the following numbers is NOT a solution of the inequality 3x − 5 ≥ 4x − 3?

A.  

−1

B.  

−2

C.  

−3

D.  

−5

Câu 16: 1 điểm

refer to the following information.

a = 1,052 + 1.08t

The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second,and t, the air temperature, in degrees Fahrenheit (°F).

At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?

A.  

−46°F

B.  

−48°F

C.  

−49°F

D.  

−50°F

Câu 17: 1 điểm

refer to the following information.

a = 1,052 + 1.08t

The speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second,and t, the air temperature, in degrees Fahrenheit (°F).

Which of the following expresses the air temperature in terms of the speed of a sound wave?

A.  

t=a1,0521.08t=\frac{a − 1,052}{1.08}

B.  

t=a+1,0521.08t=\frac{a + 1,052}{1.08}

C.  

t=1,052a1.08t=\frac{1,052 - a}{1.08}

D.  

t=1.08a+1,052t=\frac{1.08}{a+1,052}

Câu 18: 1 điểm

For what value of n is |n − 1| + 1 equal to 0 ?

A.  

zero

B.  

1

C.  

2

D.  

There is no such value of n

Câu 19: 1 điểm

Hình ảnh

The number of rooftops with solar panel installations in 5 cities is shown in the graph above. If the total number of installations is 27,500, what is an appropriate label for the vertical axis of the graph?

A.  

Number of installations (in tens)

B.  

Number of installations (in hundreds)

C.  

Number of installations (in thousands)

D.  

Number of installations (in tens of thousands)

Câu 20: 1 điểm

1 decagram = 10 grams

1,000 milligrams = 1 gram

A hospital stores one type of medicine in 2-decagram containers. Based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?

A.  

0.002

B.  

200

C.  

2,000

D.  

20,000


 

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