Test Prep SAT2-MATHEMATICS Online Practice Questions and Exam Preparation

Test Prep SAT2-MATHEMATICS Online Questions & Answers

• Question 1:

  SIMULATION

  What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses the x-axis to the point where the line crosses the y-axis?

  A. 10
  A. 10

  ---

  Write the equation in slope-intercept form

  

  The line crosses the y-axis at its y-intercept, (0,8). The line crosses the x-axis when

  

  Use the distance formula to find the distance from

  

• Question 2:

  The diagonal of one face of a cube measures 42in. What is the volume of the cube?

  

  A. Option A
  B. Option B
  C. Option C
  D. Option D
  E. Option E
  B. Option B

  ---

  Every face of a cube is a square. The diagonal of a square is equal to S2 where s is the length of a side of the square. If S2 = 42 then one side, or edge, of the cube is equal to 4 in. The volume of a cube is equal to e3,where is the length of an edge of the cube. The volume of the cube is equal to (4 in)3= 64 in 3.

• Question 3:

  SIMULATION

  If the distance from point (–2,m) to point (4,–1) is 10 units, what is the positive value of m?

  A. 7
  A. 7

  ---

  First, use the distance formula to form an equation that can be solved for m:

  

• Question 4:

  If m < n < 0, then all of the following are true EXCEPT

  

  A. Option A
  B. Option B
  C. Option C
  D. Option D
  E. Option E
  A. Option A

  ---

  Explanation:

  If m < n <0, then m and n are both negative numbers, and m is more negative than n. Therefore, -m will be more positive (greater) than-m, so the statement –m< -n cannot be true.

• Question 5:

  SIMULATION

  

  A. 21
  A. 21

  ---

  Both figures contain five angles. Each figure contains three right angles and an angle labeled 105 degrees. Therefore, the corresponding angles in each figure whose measures are not given (angles B and G, respectively) must also be equal, which makes the two figures similar. The lengths of the sides of similar figures are in the same ratio. The length of side FJ is 36 units and the length of its corresponding side, AE, in figure ABCDE is 180 units. Therefore, the ratio of side FJ to side AE is 36:180 or 1:5. The lengths of sides FG and AB are in the same ratio. If the length of side FG is x, then:

  

  The length of side FG is 21 units.

• Question 6:

  The point (6, –3) could be the midpoint of which of the following lines?

  A. a line with endpoints at (0,–1) and (12,–2)
  B. a line with endpoints at (2,–3) and (6,1)
  C. a line with endpoints at (6,0) and (6,–6)
  D. a line with endpoints at (–6,3) and (–6,–3)
  E. a line with endpoints at (3,3) and (12,–6)
  C. a line with endpoints at (6,0) and (6,–6)

  ---

  The midpoint of a line is equal to the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line. The midpoint of the line with endpoints at and (6, -6) is

  

• Question 7:

  

  Line is perpendicular to line

  

  A. Option A
  B. Option B
  C. Option C
  D. Option D
  E. Option E
  E. Option E

  ---

  Explanation:

  Perpendicular lines have slopes that are negative reciprocals of each other. The slope of the line given is 2/1.

  The negative reciprocal of 2/1 is 1/2. Every line with a slope of -3/4 is perpendicular to the given line; y= 3/2x + i5 is perpendicular to y = 2/3x – i.

• Question 8:

  A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

  

  A. Option A
  B. Option B
  C. Option C
  D. Option D
  E. Option E
  A. Option A

  ---

  There are three numbers on the wheel that are less than four (1, 2, 3), but only one of those numbers (3) is greater than two. The probability of Jenna spinning a number that is both less than 4 and greater than 2 is 1/8.

• Question 9:

  

  

  If which of the following could be true?

  

  A. Option A
  B. Option B
  C. Option C
  D. Option D
  E. Option E
  A. Option A

  ---

  If a = 4, x could be less than a. For example, x could be

  

  Although x

• Question 10:

  A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have?

  A. 5 square feet
  B. 6 square feet
  C. 7 square feet
  D. 8 square feet
  E. 9 square feet
  B. 6 square feet

  ---

  Explanation:

  30 men X 42 square feet = 1,260 square feet of space; 1,260 square feet ÷ 35 men = 36 square feet; 42 – 36 = 6, so each man will have 6 less square feet of space.