SAT Math Multiple Choice Practice Test 53

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Question 15 questions

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1. John buys c pounds of cheese to feed m people at a party. If m + n people come to the party, how many more pounds of cheese must John buy in order tofeed everyone at the original rate?

  • A.
  • B.
  • C.
  • D.

2.

The bar graph above shows the percent of the daily recommended intake of calcium suppliedby five different multivitamins, A, B, C, D, and E, per pill. Products A and D aresold in bottles of 75 pills and cost $12 and $18, respectively. Products B, C, andE are sold in bottles of 50 pills and cost $9.50, $10.25, and $15.50, respectively.Which of the five products supplies the greatest percentage of the daily-recommendedintake of calcium per dollar?

  • A. A
  • B. B
  • C. C
  • D. E

3. A typical 3-D printer creates objects by laying down layers of ink one on top of another.The average thickness of a layer depends on the caliber of the printer. For one particular3-D printer, the average thickness of a layer is 102 μm (micrometers). When creatinga 1-inch cube, the printer takes 6 seconds to lay down each layer of ink. Approximatelyhow long should it take this printer to create a 1-inch cube? (There are 1,000,000micrometers in a meter, and 1 inch is approximately equal to 0.0254 meters.)

  • A. 12 minutes
  • B. 25 minutes
  • C. 40 minutes
  • D. 1 hour, 6 minutes

4.

Wesley went to an amusement park with his family. He paid for his own admission ticketand all of the rides he rode. The scatterplot shows possible amounts that he couldhave paid. If a line of best fit (not shown) is used to model the data, the equationof the line would be y = 3x + 8. In this scenario, what does 3 represent?

  • A. The cost of one ride
  • B. The number of rides Wesley rode
  • C. The cost of the admission ticket
  • D. The number of hours Wesley stayed at the park

5. The data in which of the following scatterplots would be best modeled by a quadraticfunction in which the x2 term has a negative coefficient?

  • A.
  • B.
  • C.
  • D.
RoundTotal Number of Participants
Eliminated
1256
2384
3448
4480
5496

6. The table above shows the cumulative number of participants eliminated in a nationalminiature golf tournament by the end of each round. Which of the following best describesthe relationship between the round and the number of participants remaining in thetournament?

  • A. Exponential growth
  • B. Exponential decay
  • C. Linear growth
  • D. Linear decay

7.

Nine data points were used to generate the scatterplot shown. Assuming all whole numbervalues for the data points, which list correctly gives the domain of the data?

  • A. {10, 35, 55, 70, 80, 85}
  • B. {100, 200, 300, 400, 500}
  • C. {0, 50, 100, 150, 200, 250, 300, 350, 400}
  • D. {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

8. When water is heated in a closed system, the vapor pressure increases slowly at firstand then more rapidly. As the water reaches the boiling point of 100°C, the vaporpressure reaches 1 atm, known as 1 standard atmosphere. Which of the following modelsbest describes the increase in vapor pressure as water is heated to its boiling point?

  • A. Linear
  • B. Quadratic
  • C. Polynomial
  • D. Exponential

9.

Which of the following equations best models the data shown in the scatterplot above?

  • A.
  • B.
  • C.
  • D.

10.

The figure above shows the number of emails sent per day plotted against the numberof hours an adult works on a computer per day. Which of the following best estimatesthe average rate of change in the number of emails sent compared to the number ofhours working on a computer?

  • A. 0.12
  • B. 1.5
  • C. 8.5
  • D. 12

11. Which of the following scatterplots could be modeled by the equation, where a and b are constants such that a > 1 and x < –1?

  • A.
  • B.
  • C.
  • D.

12. Sea ice extent is a measurement of the area of ocean with at least 15% sea ice. Thegraph below shows data for the extent of Arctic sea ice between 2000 and 2012 as reportedby the National Snow and Ice Data Center. The line of best fit is also shown. Theequation of the line is A(t) = -0.187t + 380.5, where A(t) represents the area of measurable sea ice in the Arctic Ocean in the year t.

Based on the equation of the line of best fit, which of the following statements accuratelydescribes the change in the amount of measurable Arctic sea ice during the given timeperiod?

  • A. The amount of sea ice increased approximately 187,000 square kilometers per year.
  • B. The amount of sea ice increased approximately 187 million square kilometers per year.
  • C. The amount of sea ice decreased approximately 187,000 square kilometers per year.
  • D. The amount of sea ice decreased approximately 187 million square kilometers per year.

13. Sea ice extent is a measurement of the area of ocean with at least 15% sea ice. Thegraph below shows data for the extent of Arctic sea ice between 2000 and 2012 as reportedby the National Snow and Ice Data Center. The line of best fit is also shown. Theequation of the line is A(t) = -0.187t + 380.5, where A(t) represents the area of measurable sea ice in the Arctic Ocean in the year t.

Assuming the trend of the data continues, in what year will the measurable sea icein the Arctic Ocean cease to exist?

  • A. 2026
  • B. 2034
  • C. 2066
  • D. 2380

14. A dietician working in the children's ward at a hospital is monitoring the water intakeof all the patients in the ward. The total water intake for each patient is recordedthroughout the day and then averaged over the 24-hour period. The results are recordedin the scatterplot, where each dot represents the average hourly water intake forone child.

Which of the following ages has the greatest range of values for the average hourlywater intake?

  • A. Age 5
  • B. Age 6
  • C. Age 8
  • D. Age 11

15. A dietician working in the children's ward at a hospital is monitoring the water intakeof all the patients in the ward. The total water intake for each patient is recordedthroughout the day and then averaged over the 24-hour period. The results are recordedin the scatterplot, where each dot represents the average hourly water intake forone child.

A child between the ages of 5 and 8 should consume at least 1 liter of water per day.Based on the data presented in the scatterplot, what percent of the children, ages5-8, in the ward consumed less than the daily-recommended amount? (Note: There are24 hours in one day and approximately 33.814 ounces in 1 liter.)

  • A. 35%
  • B. 60%
  • C. 70%
  • D. 85%