sat-dog

556 items match

Hard Math · Geometry and Trigonometry · Lines, angles, and triangles · SPR figure

  • Triangle upper A upper C upper D partially overlaps triangle upper E upper B upper D.
  • Point upper C is on line segment upper B upper D.
  • Point upper E is on line segment upper A upper D.
  • The measure of angle upper A upper E upper B is x°.
  • A note indicates the figure is not drawn to scale.

 

In the figure, A C = C D . The measure of angle EBC is 45°, and the measure of angle ACD is 104°. What is the value of x ?

Open
Medium Math · Algebra · Linear inequalities in one or two variables · MCQ figure

A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?

Open
Hard Math · Problem-Solving and Data Analysis · Probability and conditional probability · SPR figure
Number of Contestants by Score and Day
 5 out
  of 5		4 out
  of 5		3 out
  of 5		2 out
  of 5		1 out
  of 5		0 out
  of 5		Total
Day 123462320
Day 223554120
Day 333453220
Total7913169660

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.

No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

Open
Hard Math · Problem-Solving and Data Analysis · Percentages · MCQ figure

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is three fourths cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult’s daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x ?

Open
Hard Math · Algebra · Systems of two linear equations in two variables · SPR figure

If the ordered pair x comma y satisfies the system of equations above, what is the value of y ?

Open
Hard Reading and Writing · Information and Ideas · Command of Evidence · MCQ figure

Which choice best describes data from the graph that weaken the team’s hypothesis?

Open
Medium Math · Algebra · Systems of two linear equations in two variables · MCQ figure

The system of equations above has solution (x, y). What is the value of x ?

Open
Hard Math · Geometry and Trigonometry · Lines, angles, and triangles · SPR figure

  • From left to right, horizontal line segment upper P upper V includes the following points:
    • Upper P
    • Upper Q
    • Upper R
    • Upper S
    • Upper T
    • Upper V
  • Points upper X and upper U are each below line segment upper P upper V.
  • From left to right, the following 2 overlapping triangles are formed between points on line segment upper P upper V and points upper X and upper U:
    • Triangle upper Q upper X upper S
    • Triangle upper R upper U upper T
  • Line segments upper R upper U and upper S upper X intersect at point upper W.
  • A note indicates the figure is not drawn to scale.

In the figure shown, points Q , R , S , and T lie on line segment P V , and line segment R U intersects line segment S X at point W . The measure of ∠SQX is 48°, the measure of ∠SXQ is 86°, the measure of ∠SWU is 85°, and the measure of ∠VTU is 162°. What is the measure, in degrees, of ∠TUR? 

Open
Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

A system of equations consists of a quadratic equation and a linear equation. The equations in this system are graphed in the xy-plane above. How many solutions does this system have?

Open
Hard Math · Geometry and Trigonometry · Lines, angles, and triangles · SPR figure

What is the value of x ?

Open
Easy Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

Which of the following inequalities is equivalent to the inequality above?

Open
Medium Math · Problem-Solving and Data Analysis · Probability and conditional probability · MCQ figure
The table above shows information about 14 cars listed for sale on an auto dealership’s website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25,000 ?
Open
Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The International Space Station orbits Earth at an average speed of 4.76 miles per second. What is the space station’s average speed in miles per hour?

Open
Medium Math · Problem-Solving and Data Analysis · Two-variable data: Models and scatterplots · MCQ figure

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown. Which of the following is closest to the difference between the y-coordinate of the data point with x equals 1 and the y-value predicted by the line of best fit at x equals 1 ?

The figure presents a scatterplot in the x y plane. The numbers 0 through 6, in increments of 1, are indicated on the x-axis. The numbers 6 through 12, in increments of 1, are indicated on the y-axis. There are 10 data points in the scatterplot. The data points begin at the point with coordinates 0 comma 12, and trend downward and to the right. The coordinates of the data points are as follows. Note that all values are approximate. Point 1. 0, comma 12. Point 2. 0 point 8, comma 11. Point 3. 1, comma 12. Point 4. 1 point 5, comma 10 point 3. Point 5. 2, comma 10. Point 6. 2 point 2, comma 9 point 2. Point 7. 3, comma 9. Point 8. 3 point 5, comma 8. Point 9. 3 point 8, comma 8 point 3. Point 10. 4, comma 7. A line of best fit is also drawn. The line slants downward and to the right, passing through the point with approximate coordinates 1 comma 11, and the point with approximate coordinates 4 comma 7 point 5.

Open
Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

If the ordered pair x comma y is a solution to the system of equations above, which of the following could be the value of x ?

Open
Medium Math · Advanced Math · Equivalent expressions · MCQ figure

Which of the following is a factor of the polynomial above?

Open
Medium Math · Advanced Math · Equivalent expressions · MCQ figure

If p equals, 3 x, plus 4 and v equals, x plus 5, which of the following is equivalent to p v, minus 2 p, plus v ?

Open
Easy Math · Geometry and Trigonometry · Lines, angles, and triangles · MCQ figure

  • Clockwise from top left, the 3 lines are labeled t, m, and n.
  • Line t intersects both line m and line n.
  • At the intersection of line t and line m, 1 angle is labeled clockwise from top left as follows:
    • Bottom left: 170°
  • At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
    • Bottom left: w°
  • A note indicates the figure is not drawn to scale.

In the figure, line m is parallel to line n . What is the value of w ?

Open
Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ figure

What values satisfy the equation above?

Open
Hard Math · Algebra · Linear equations in two variables · MCQ figure

The graph of the equation a, x plus k y, equals 6 is a line in the xy-plane, where a and k are constants. If the line contains the points with coordinates negative 2 comma negative 6 and 0 comma negative 3, what is the value of k ?

Open
Medium Math · Geometry and Trigonometry · Area and volume · MCQ figure

A right circular cylinder has a volume of 45 pi. If the height of the cylinder is 5, what is the radius of the cylinder?

Open
Easy Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k seconds. The ratio of m to k can be estimated to be 1 to 5. According to this estimate, the person is how many miles from a flash of lightning if the time interval is 25 seconds?

Open
Medium Math · Problem-Solving and Data Analysis · Ratios, rates, proportional relationships, and units · MCQ figure

The population density of Iceland, in people per square kilometer of land area, increased from 2.5 in 1990 to 3.3 in 2014. During this time period, the land area of Iceland was 100,250 square kilometers. By how many people did Iceland’s population increase from 1990 to 2014?

Open
Hard Math · Problem-Solving and Data Analysis · Inference from sample statistics and margin of error · SPR figure

A researcher interviewed 411 randomly selected US residents and asked about their views on the use of nuclear energy. The table above summarizes the responses of the interviewees. If the population of the United States was 300 million when the survey was given, based on the sample data for the 411 US residents, what is the best estimate, in millions, of the difference between the number of US residents who somewhat favor or strongly favor the use of nuclear energy and the number of those who somewhat oppose or strongly oppose it? (Round your answer to the nearest whole number.)

Open
Easy Math · Problem-Solving and Data Analysis · One-variable data: Distributions and measures of center and spread · MCQ figure

What is the median of the seven data values shown?

Open
Next page →