Mathematics Test – Calculator


For questions 1-30, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. For questions 31-37, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 31 on how to enter your answers in the grid. You may use any available space in your test booklet for scratch work.

Mathematics Test – Calculator

Question 1 of 28.

A runner executes his training program as per the chart below in which his speed is displayed at different times. During which time interval is the fastest speed increase observed?

1. Between 0 and 15 minutes
2. Between 50 and 60 minutes
3. Between 35 and 50 minutes
4. Between 20 and 35 minutes
Question 2 of 28.

If y=3x-a , where a is a constant, and y=14 when x=6, what is the value of x when y=6?

1. 14
2. 4
3. 10/3
4. 2/3
Question 3 of 28.

In the figure below, ABCD is a trapezoid with AB parallel to DC. Lines l and AD are parallel and lines m and BC are parallel. If the measure of angle 1 is 70º and measure of angle 2 is 130º , what is the measure of angle 3?

1. 130º
2. 200º
3. 120º
4. Cannot be calculated from the given data
Question 4 of 28.

If 10+3x is two thirds of 2x, what is the value of x?

1. -6
2. 6
3. - 30/7
4. 20/3
Question 5 of 28.

Which of the following graphs best shows the strongest positive association between t and d?

A hospital stores one type of liquid substance in 3-liter containers. Based on the information given above, how many 100 mm3-doses are in one 3-liter container?

1. 3,000
2. 3,000,000
3. 1,000,000
4. 30,000
Question 6 of 28.

The number of rooftops with solar panel installations in a week is shown in the graph above. If the total number of installations during this week was above 100 and there was no day in which the number of installations was double that of the previous day, what is an appropriate label for the vertical axis?

1. Installations (in tens)
2. Installations (in hundreds)
3. Cumulative Installations (in tens)
4. Cumulative Installations (in hundreds)
Question 7 of 28.

For what values of a and b is | a |+ |b + 1 equal to 0?

1. a=0,b=0
2. a=-1,b=0
3. a=0,b=-1
4. There are no such values of a and b
Question 8 of 28.

Which of the following expresses the age m in terms of the height h?

The height h in centimeters of 18 to 29 months old baby boys is estimated by the following formula: h=0.635m + 64.93 m represents the baby boy’s age in months (18 ≤ m ≤ 29) .

1. m=h-64.93/635 100
2. m= h-64.93/63.5/1000
3. m= h-64.93/635 1000
4. m= 100h-64.93/63.5
Question 9 of 28.

If for a specific integer m between 18 and 29 the height h is equal to 77 centimeters, which of the following ages gives the best approximation of 79 centimeters height?

The height h in centimeters of 18 to 29 months old baby boys is estimated by the following formula: h=0.635m + 64.93 m represents the baby boy’s age in months (18 ≤ m ≤ 29) .

1. m+1
2. m+2
3. m+3
4. 30
Question 10 of 28.

Which of the following numbers is a solution of the inequality 7x + 1 ≥ 11x + 3?

1. - 1/3
2. 0
3. 1/2
4. - 3/5
Question 11 of 28.

In the histogram above the bar representing the number of apples with 4 seeds is missing. If the average (arithmetic mean) number of seeds per apple is 5 and two thirds, what is the number of apples with 4 seeds?

1. 13
2. 4
3. 3
4. There is no positive integer to represent the number of apples with 4 seeds so that the average of the sample becomes 5 and two thirds
Question 12 of 28.

A group of 68 men and women responded to a survey that asked for their preferences among Reading, Sports and TV. The survey data is shown in the table above. Which of the following categories best approximates 33 percent of the respective total?

1. Men watching TV over total Men
2. Women Reading over total Women
3. Men and Women doing Sports over total Men and Women
4. Men and Women watching TV over total Men and Women
Question 13 of 28.

Below is a sample of 13 observations sorted in ascending order from left to right. The first and the last observations are outliers with a1 a13 0 . The statistician decides to remove them and thus generate a new sample with the remaining observations. Which of the following statements must be true for the Mean, Median and Range of this new sample?

1. Absolute Value of Mean increases, Median unchanged, Range decreases
2. Absolute Value of Mean decreases, Median unchanged, Range decreases
3. Mean, Median and Range unchanged
4. Mean unchanged, Median and Range increase
Question 14 of 28.

In the xy-plane, if (1,1) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?

y <-2x + a
y >3x + b

1. |b|<|a|
2. a+b=0
3. |a+b|>5
4. |a-b|>5
Question 15 of 28.

A food truck sells salads for $6.50 each and drinks for $2.00 each. On a day when 52 more drinks than salads were sold, the food truck’s revenue from selling salads and drinks was $682. How many salads were sold that day?

1. 120
2. 40
3. 92
4. 68
Question 16 of 28.

Alma bought a laptop computer from an online shop that gave 30% discount off its original price. The total amount she was charged in her credit card was p dollars, including a 9 percent tax on the discounted price and a 2 percent transportation fee on the original price. Which of the following represents the original price of the computer in terms of p?

1. p-0.02/(0.7)(1.09)
2. p/(0.7(1.09)+0.02
3. p/(0.7)(1.09) - 0.02
4. p(1-0.02)/(0.7)(1.09)
Question 17 of 28.

A public opinion survey was conducted in order to explore the relationship between age and support for reforming the state health care system. The table above displays a summary of the survey results. If a person is chosen at random from those who are below 55 years old, what is the probability that the person is not a supporter of the reform?

1. 696/1,939
2. 534/1,243
3. 847/1,243
4. 1,090/1,939
Question 18 of 28.

Which of the following ratios gives the average year over year rate of change of the number of students enrolled in the Math Department from 2011 to 2015?

1. A-260/5
2. 260-A/5
3. 280-210/5
4. A-260/4
Question 19 of 28.

If A = 250 , which pair of departments has almost the same change in student enrollment as the Math department from 2011 to 2015 in absolute terms?

1. Arts & Culture and Chemistry
2. English & Chemistry
3. Computer Science & Math
4. Math & Biology
Question 20 of 28.

In the xy-plane the two end points of a diameter of a circle are (1,1) and (3,7) . Which of the following could be the equation of that circle?

1. (x-2)2 + (y-4)2 =10
2. (x-1)2 + (y-3)2 =10
3. (x-1)2 + (y-3)2 =40
4. (x-2)2 + (y-4)2 =40
Question 21 of 28.

The formula above expresses the approximate velocity v an object will have when it hits the ground after it was previously launched horizontally from height h and with initial velocity v0. An object is launched horizontally with initial velocity 5 meters per second and after a few seconds it hits the ground with a velocity of 13 meters per second. What was the approximate height in meters that the object was launched from?

1. 8.2
2. 9.7
3. 72.0
4. 36.0
Question 22 of 28.

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that type B trees produced 25 percent less pears than type A trees did. Based on Katarina’s observation, if the type B trees produced 153 pears, how many pears did the Type A trees produce?

1. 204
2. 612
3. 122
4. 178
Question 23 of 28.

Which of the following inequalities along with the above two ensures that the generated system of three has no solution in the 2nd quadrant of a xy-plane?

1. y ≥ 5x
2. y ≤ 3x
3. y > - x - 1
4. y < x + 2
Question 24 of 28.

Which of the following is an equivalent form of the equation of the graph shown in the xy-plane above, from which the coordinates of the vertex can be identified as constants in the equation?

1. y=-(x-1)2 + 4
2. y=-x(x+2) + 3
3. y=-(x+1)2 + 4
4. y=(x+1)2 + 4
Question 25 of 28.

A runner’s speed is at least 4 miles per hour and at most 10 miles per hour. Based on this information, what is the difference in minutes between the best and worst performance the runner may have when he runs 6 miles with a constant speed?

GUESS
I give up
Question 26 of 28.

A delivery truck can carry a maximum of 104 identical boxes each weighing 8 pounds and its combined weight with its driver is 3600 pounds when empty. Two identical trucks with drivers of same weight are going to pass over a specific bridge at the same time. What is the minimum posted weight limit, in pounds, for this bridge that makes it safe for the two trucks and their drivers to pass over fully loaded?

GUESS
I give up
Question 27 of 28.

The graph above depicts the number of portable media players sold in a specific state between 2008 and 2014. If it is given that the increase in sales between 2009 and 2011 was 20 percent and the increase in sales between 2009 and 2012 was 30 percent, what is the percentage increase (to the nearest hundredth) in sales between 2011 and 2012?

GUESS
I give up
Question 28 of 28.

A local television station sells time slots for programs in 45-minute intervals. If the station operates for 18 hours per day including 3-minute commercial breaks that are always played in between each 45- minute interval, what is the total number of 45-minute time slots the station can sell per day?

GUESS
I give up

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