Questions and Answers of McGraw-Hill Education SAT 2017

How much more did the United States spend in 2010 on Interest on National Debt than on Education? A) $2 billion B) $7.0 billion C) $20 billion D) $70 billion UNITED STATES FEDERAL BUDGET FISCAL
A set of four integers has a mode of 7 and a median of 4. What is the greatest possible average (arithmetic mean) of this set? A) 3.50 B) 3.75 C) 4.00 D) 4.25
A farmer has an annual budget of $1,200 for barley seed, with which he can plant 30 acres of barley. If next year the cost per pound of the seed is projected to decrease by 20%, how many acres will
Yael travels to work at an average speed of 40 miles per hour and returns home by the same route at 24 miles per hour. If the total time for the round trip is 2 hours, how many miles is her trip to
What is the latest date of the month on which the meeting could take place? A) The 13th B) The 14th C) The 21st D) The 26th
A set of n numbers has an average (arithmetic mean) of 3k and a sum of 12m, where k and m are both positive. Which of the following is equivalent to n? A) D) 4m k m 4k B) 4k m C) k 4m
Let f(x, y) = Ax2 y3 where A is a constant. If f(a, b) = 10, what is the value of f(2a, 2b)?A) 100 B) 260 C) 320 D) 500
Which is closest to the average (arithmetic mean) price of the 250 tickets sold? A) $5.54 B) $5.59 C) $5.68 D) $5.72 TALENT SHOW TICKETS Tickets Sold Total Revenue Adult Child Senior
If Interest on National Debt expenses were to decrease by $20 billion from their 2010 levels, this would represent a percent decrease of approximately A) 6% B) 10% C) 12% D) 15% UNITED STATES
If the price of a stock declined by 30% in one year and increased by 80% the next year, by what percent did the price increase over the two-year period? A) 24% B) 26% C) 50% D) 500
If a meeting must take place on the third Tuesday of the month, what is the earliest date of the month on which it could take place? A) The 14th B) The 15th C) The 22nd D) The 27th
The median of a set of 22 consecutive even integers is 25. What is the largest number in the set?
If y varies inversely as the square of x, then when x is multiplied by 4, y will be A) Divided by 16 B) Divided by 2 C) Multiplied by 2 D) Multiplied by 16
According to the table above, how much is the price of one senior ticket? A) $4.00 B) $6.00 C) $12.00 D) $16.00 TALENT SHOW TICKETS Tickets Sold Total Revenue Adult Child
How much more is the cost of one adult ticket than the cost of one student ticket? A) $0.50 B) $1.50 C) $2.50 D) $3.00 TALENT SHOW TICKETS Tickets Sold Total Revenue Adult Child Senior
What is the measure of the central angle for the sector representing Medicare expenses? A) 13.0° B) 45.5° C) 46.8° D) 48.2° UNITED STATES FEDERAL BUDGET-FISCAL YEAR 2010 Defense 20% Social
The chart above shows the allocation of $3.5 trillion in U.S. federal expenses for 2010. What were the total 2010 expenditures on Defense? A) $700 billion B) $70 billion C) $7 billion D) $700
If the average (arithmetic mean) of 4 and x is equal to the average (arithmetic mean) of 2, 8, and x, what is the value of x?
What is the median price of the 250 tickets sold? A) $5.00 B) $5.50 C) $5.75 D) $6.00
David’s motorcycle uses 2/5 of a gallon of gasoline to travel 8 miles. At this rate, how many miles can it travel on 5 gallons of gasoline?
A motorcycle has a fuel efficiency of 60 miles per gallon when it is cruising at a speed of 50 miles per hour. How many hours can it travel at 50 miles per hour on a full tank of gas, if its tank can
A truck’s gas tank can hold 18 gallons. If the tank is 2/3 full and the truck travels for 4 hours at 60 miles per hour until it runs out of gas, what is the efficiency of the truck, in miles per
At a student meeting, the ratio of athletes to non athletes is 3:2, and among the athletes the ratio of males to females is 3:5. What percent of the students at this meeting are female
If the ratio of a to b is 3 to 4, and the ratio of a to c is 5 to 2, what is the ratio of b to c?A) 3 to 10 B) 3 to 5 C) 5 to 3 D) 10 to 3
A paint mixture consists of a 3:2:11 ratio of red, violet, and white, respectively. How many ounces of violet are needed to make 256 ounces of this mixture? A) 32 B) 36 C) 46 D) 48
If p varies inversely as q and p = 4 when q = 6, the which of the following is another solution for p and q? A) P = 8 and q = 12 B) P = 8 and q = 10 C) P = 12 and q = 1 D) P = 12
If the price of a house increased from $40,000 to $120,000, what is the percent increase in price? A) 67% B) 80% C) 200% D) 300%
Between 2006 and 2012, what was the percent increase in the total number of retail stores for this company? A) 45% B) 50% C) 100% D) 200% Revenue Per Store (Thousands of
A set of numbers has a sum of 48 and an average of 6. How many numbers are in the set?
The retail price of a shirt is $60, but it is on sale at a 20% discount and you have an additional 20% off coupon. If there is also a 5% sales tax, is the final cost of the shirt? A)
By what percent did the population of culture B increase over the first 3 minutes? A) 36.4% B) 42.1% C) 72.8% D) 172.8%
What number is the same percent of 36 as 5 is of 24?
From 2009 to 2010, the total combined revenue for all stores increased by approximately A) $50,000 B) $200,000 C) $400,000 D) $600,000 Revenue Per Store (Thousands of
If a car traveling at 60 mph is chasing a car travelling at 50 mph and is ¼ mile behind, how many minutes will it take the first car to catch the second?
The average (arithmetic mean) of 2, 5, 8 and k is 0. What is the median of these numbers?
If the median of 2, 4, 6, and b is 4.2, what is the average (arithmetic mean) of these four numbers?
What number is 30% less than 70?
In 2006, the total combined revenue for all stores was closest to A) $350,000 B) $480,000 C) $700,000 D) $950,000 Revenue Per Store (Thousands of $) 1,000 800 600 400 200 0 ANNUAL REVENUE PER
If the areas of two circles are in the ratio of 4:9, the circumference of the larger circle is how many times the circumference of the smaller circle?
If a $6,000 contribution is divided among charities A, B, and C in a ratio of 8:5:2, respectively, how much more, in dollars, does charity A receive than charity C?
Two cars leave the same point simultaneously, going in the same direction along a straight, flat road, one at 35 miles per hour and the other at 50 miles per hour. After how many minutes will the
The scatterplot above shows the annual revenue for all of the individual retail stores operated by a clothing company for each year from 2004 through 2012. Based on the line of best fit to the data
If culture A continues to grow at a constant rate, at what time should its population reach 2,000? A) 7 minutes 4 seconds B) 7 minutes 24 seconds C) 7 minutes 40 seconds D) 8
After 2 minutes, the population of culture A is what percent greater than the population of culture B? A) 16.7% B) 20.0% C) 27.8% D) 127.8%
Which of the following equations best expresses the population, P, of bacteria culture B, as a function of t, in minutes? A) P = 100t + 500 B) P = 500(1.2)t C) P = 2,000(t −
Approximately how many years did it take for average preschool blood lead levels to return to their 1950 levels? A) 25 B) 30 C) 35 D) 40 PRESCHOOL BLOOD LEAD LEVELS VS. VIOLENT CRIME RATES IN THE
What was the percent increase in fossil fuel energy consumption between 1950 and 2010? A) 28% B) 61% C) 124% D) 156% 1950 1970 1990 2010 U.S. ENERGY CONSUMPTION (Quadrillion BTU (QBTU)) Fossil
For approximately how many years between 1963 and 2013 was the violent crime rate in the United States greater than 375 crimes per 100,000 capita? A) 25 B) 30 C) 37 D) 42 PRESCHOOL BLOOD LEAD
If the width of a rectangle decreases by 20%, by what percent must the length increase in order for the total area of the rectangle to double? (Ignore the % symbol when gridding.)
The “renewability index” is defined as the fraction of total U.S. energy consumption that comes from non-nuclear renewable energy. What was the percent increase in the renewability index from
Two middle school classes take a vote on the destination for a class trip. Class A has 25 students, 56% of whom voted to go to St. Louis. Class B has n students, 60% of whom voted to go to St. Louis.
A set of four positive integers has a median of 2 and a mode of 2. If the average (arithmetic mean) of this set is 3, what is the largest possible number in the set?
In three separate 1-mile races, Ellen finished with times of x minutes, y minutes, and z minutes, respectively. What was her average speed, in miles per hour, for all three races?
What is the average speed, in miles per hour, of a sprinter who runs ¼ mile in 45 seconds? (1 hour = 60 seconds) A) 11.25 B) 13.5 C) 20 D) 22
Anne can paint a room in 2 hours, and Barbara can paint the same room in 3 hours. If they each work the same rate when they work together as they do alone, how many hours should it take them to paint
According to the table above, k(k(6)) = X 1 2 3 4 5 6 f(x) 3 4 5 6 1 2 k(x) 5 6 1 2 3 4
When the two equations in the system above are graphed in the xy-plane, they intersect in the point (a, b). If a > 0, what is the value of a? y = 4x² + 2 x+y=16
Which of the following is true for all values of x indicated in the earlier table? A) F(k(x)) - k(f(x)) = 0 B) F(k(x)) + k(f(x)) = x C) F(k(x)) - k(f(x)) = x D) F(k(x)) + k(f(x)) = 0
If x = -5 is one of the solutions of the equation 0 = x2 - ax - 12, what is the other solution?
According to the table above, if k(f(x)) = 5, then what is the value of x? X 1 2 3 4 5 6 3 4 5 6 1 2 k(x) 5 6 1 2 3 4
If 2x2 + 8x = 42 and x < 0, what is the value of x2?A) 4 B) 9 C) 49 D) 64
According to the table above, f(3) = X 1 2 3 4 5 6 f(x) 3 4 5 9 1 2 k(x) 5 9 1 2 3 4
If the function y = 3(x2 + 1)(x3 - 1)(x + 2) is graphed in the xy-plane, in how many distinct points will it intersect the x-axis?A) Two B) Three C) Four D) Five
If the graph of y = a(x - b)(x - 4) has a vertex at (5, -3), what is the value of ab?
If the function y = 3x2 - kx - 12 has a zero at x = 3, what is the value of k?
According to the table above, f(k(6)) = 1 2 32 4 5 6 f(x) 3 4 5 6 1 2 k(x) 5 6 1 2 3 4
Which of the following equations, if graphed in the xy-plane, would intersect the graph of the equation above in exactly one point? A) Y = -4 B) Y = -3 C) Y = -1 E) Y = 0 2 x² + y² = 9
If g(x - 1) = x2 + 1, which of the following is equal to g(x)?A) x2 + 2 B) x2 + 2x C) x2 + 2x + 1 D) x2 + 2x + 2
Which of the following functions, when graphed in the xy-plane, has exactly one negative x-intercept and one negative y-intercept? A) Y = -x2 - 6x - 9 B) Y = -x2 + 6x - 9 C) Y = x2 +
Which of the following is equivalent to 2a(a - 5) + 3a2(a + 1) for all values of a? A) 6a4 - 24a3 - 6 B) 5a5 + 3a2 - 10a C) 3a3 + 5a2 - 10a D) 3a3 + 2a2 - 10a - 6
If (x - 2)(x + 2) = 0, then x2 + 10 =
Let the function h be defined by the equation h(x) = f(g(x)) where f(x) = x2 - 1 and g(x) = x + 5. What is the value of h(2)?
When the quadratic function y = 10(x + 4)(x + 6) is graphed in the xy-plane, the result is a parabola with vertex at (a, b). What is the value of ab?
If (a - 3)(a + k) = a2 + 3a - 18 for all values of a, what is the value of k?
If the graph of a quadratic function in the xy-plane is a parabola that intersects the x-axis at x = -1.2 and x = 4.8, what is the x-coordinate of its vertex?
The freshman class at Hillside High School has 45 more girls than boys. If the class has n boys, what percent of the freshman class are girls? A) B) C) D) n+45 % 2n +45 100n 2n +45 -% 100(n+45)% 2n
The minimum value of the function y = h(x) corresponds to the point (-3, 2) on the xy-plane. What is the maximum value of g(x) = 6 - h(x + 2)?
If x3 - 7x2 + 16x - 12 = (x - a)(x - b)(x - c) for all values of x, what is the value of abc?
If f(x) = x2 + x + k, where k is a constant, and f(2) = 10, what is the value of f(-2)?
At a fixed temperature, the volume of a sample of gas varies inversely as the pressure of the gas. If the pressure of a sample of gas at a fixed temperature is increased by 50%, by what percent is
Between 1970 and 2010, the annual consumption of fossil fuels in the U.S. increased nearly linearly. If this linear trend were to continue, which of the following is closest to the level of U.S.
If y varies inversely as the square of x, and y = 4 when x = 2, then what is the value of y when x = 3? A) B) م | دن دن C) 3 D) 9
Between 1950 and 2010, the average annual rate of increase in the consumption of non-nuclear renewable energy was closest to A) 0.085 QBTU/yr B) 0.128 QBTU/yr C) 1.70 QBTU/yr D) 2.27 QBTU/yr
For how many of the years shown above did fossil fuels account for less than 90% of the annual U.S. energy consumption? A) One B) Two C) Three D) Four U.S. ENERGY CONSUMPTION (Quadrillion BTU
If the population of town B is 50% greater than the population of town A, and the population of town C is 20% greater than the population of town A, then what percent greater is the population of
A car travels d miles in t hours and arrives at its destination 3 hours late. At what average speed, in miles per hour, should the car have gone in order to arrive on time? A) B) C) D) t-3 |-
A six-sided die was rolled 30 times and the results tabulated above. What is the difference between the average (arithmetic mean) of the rolls and the median of the rolls? A) 0.1 B) 0.2 C) 0.3 D)
Sylvia drove 315 miles and arrived at her destination in 9 hours. If she had driven 10 miles per hour faster, how many hours would she have saved on the trip?A) 1.75 hours B) 2.00 hours C)
If y varies inversely as x and the graph of their relation in the xy-plane passes through the point (2, 15), what is the value of y when x = 4?
If the length of a rectangle is doubled but its width is decreased by 10%, by what percent does its area increase? A) 80% B) 90% C) 180% D) 190%
If 12 ounces of a 30% salt solution are mixed with 24 ounces of a 60% salt solution, what is the percent concentration of salt in the mixture? A) 45% B) 48% C) 50% D) 54%
When y = 5(x - 3.2)(x - 4.6) is graphed in the xy-plane, what is the value of the y-intercept?
What is the value of g(-1)? y = f(x) y = g(x) y 1 X
If x2 + y = 10x and y = 25, what is the value of x?
What is the value of g(f(3))? y = f(x) y = g(x) y
If x > 0 and 2x2 - 4x = 30, what is the value of x?
If 2x3 - 5x - a has a zero at x = 4, what is the value of a?
When the function y = h(x) = ax2 + bx + c is graphed in the xy-plane, the result is a parabola with vertex at (4, 7). If h(2) = 0, which of the following must also equal 0? A) H(5) B)
What is the value of f(g(3))? y = f(x) y = g(x) y 1 X
If x2 + bx + 9 = 0 has only one solution, and b > 0, what is the value of b?

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