SAT Section 1 - Group 2

20 Questions | By Mmmaxwell | Last updated: Jan 28, 2013 | Total Attempts: 448

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Questions and Answers

1.

When 70,000 is written as 7.0 x 10ⁿ , what is the value of n ?
- A.
  
  1
- B.
  
  2
- C.
  
  3
- D.
  
  4
- E.
  
  5
2.

On a car trip Sam drove m miles, Kara drove twice as many miles as Sam, and Darin drove 20 fewer miles than Kara. In terms of m, how many miles did Darin drive?

Discuss
- A.
  
  2m + 20
- B.
  
  2m - 20
- C.
  
  (m/2) + 20
- D.
  
  (m + 20) / 2
- E.
  
  (m-2) - 20
3.

If x and y are positive integers, what are all the solutions (x, y) of the equation 3x + 2y = 11 ?
- A.
  
  (1, 4) only
- B.
  
  (3, 1) only
- C.
  
  (1, 4) and (2, 2)
- D.
  
  (1, 4) and (3, 1)
- E.
  
  (2, 2) and (3, 1)
4.

A company’s profit, P, in dollars, for producing x machines in one day is given by P = 500x - 20x². If the company produces 10 machines in one day, then, according to this formula, what is the profit for that day?
- A.
  
  $5,000
- B.
  
  $4,000
- C.
  
  $3,000
- D.
  
  $2,000
- E.
  
  $1,000
5.

12 - n, 12, 12 + nWhat is the average (arithmetic mean) of the 3 quantities in the list above?
- A.
  
  4
- B.
  
  12
- C.
  
  18
- D.
  
  4 + (n/3)
- E.
  
  12 + (n/3)
6.

In isosceles triangle ABC above, AM and CM are the angle bisectors of angle BAC and angle BCA. What is the measure of angle AMC ?

Discuss
- A.
  
  110 degrees
- B.
  
  115 degrees
- C.
  
  120 degrees
- D.
  
  125 degrees
- E.
  
  130 degrees
7.

A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple?
- A.
  
  1/5
- B.
  
  3/10
- C.
  
  2/5
- D.
  
  1/2
- E.
  
  2/3
8.

In the figure above, square RSTU is inscribed in the circle. What is the degree measure of arc ST ?
- A.
  
  45 degrees
- B.
  
  60 degrees
- C.
  
  90 degrees
- D.
  
  120 degrees
- E.
  
  180 degrees
9.

If P and Q are two sets of numbers, and if every number in P is also in Q, which of the following CANNOT be true?
- A.
  
  4 is in both P and Q.
- B.
  
  5 is in neither P nor Q.
- C.
  
  6 is in P, but not in Q.
- D.
  
  7 is in Q, but not in P.
- E.
  
  If 8 is not in Q, then 8 is not in P.
10.

What is the maximum number of rectangular blocks measuring 3 inches by 2 inches by 1 inch that can be packed into a cube-shaped box whose interior measures 6 inches on an edge?
- A.
  
  24
- B.
  
  28
- C.
  
  30
- D.
  
  36
- E.
  
  40
11.

If a ≠ 0 and (5/x) = (5 + a)/(x + a), what is the value of x?
- A.
  
  -5
- B.
  
  -1
- C.
  
  1
- D.
  
  2
- E.
  
  5
12.

The figure above is composed of 25 small triangles that are congruent and equilateral. If the area of DFH is 10, what is the area of AFK ?

Discuss
- A.
  
  40
- B.
  
  42.5
- C.
  
  50
- D.
  
  52.5
- E.
  
  62.5
13.

3x +2y+ 2z = 193x +y +z = 1413. If the equations above are true, which of the followingis the value of y+z? �=+ z ?
- A.
  
  -5
- B.
  
  -4
- C.
  
  0
- D.
  
  4
- E.
  
  5
14.

A boat costs x dollars, and this cost is to be shared equally by a group of people. In terms of x, how many dollars less will each person contribute if there are 4 people in the group instead of 3 ?
- A.
  
  X/12
- B.
  
  X/4
- C.
  
  X/3
- D.
  
  (7x)/12
- E.
  
  7x
15.

If y = 2x+3 and x < 2, which of the followingrepresents all the possible values for y ?
- A.
  
  Y < 7
- B.
  
  Y > 7
- C.
  
  Y < 5
- D.
  
  Y > 5
- E.
  
  5 < y < 7
16.

The graphs of the functions f and g in the interval from x = -2 to x = 2 are shown above.Which of the following could express g in terms of f ?
- A.
  
  G (x) = f (x +1)
- B.
  
  G (x) = f(x) + 1
- C.
  
  G (x) = f(x+1) + 1
- D.
  
  G (x) = f(x - 1)
- E.
  
  G (x) = f(x) - 1
17.

In the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If x + y = 80, how many sides doesthe polygon have?
- A.
  
  Ten
- B.
  
  Nine
- C.
  
  Eight
- D.
  
  Seven
- E.
  
  Six
18.

If s, t, u, and v are the coordinates of the indicated points on the number line above, which of the following is greatest?
- A.
  
  |s+t|
- B.
  
  |s+v|
- C.
  
  |s-t|
- D.
  
  |s-v|
- E.
  
  |s+u|
19.

On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated in the line graph above. Each unit on the vertical axis represents 1 foot. If the depth of the water decreased 10 percent from3:00 P.M. to 4:00 P.M., what was the depth of the water at 4:00 P.M.?
- A.
  
  3 feet
- B.
  
  15 feet
- C.
  
  18 feet
- D.
  
  20 feet
- E.
  
  30 feet
20.
- A.
  
  I only
- B.
  
  II only
- C.
  
  III only
- D.
  
  I and II only
- E.
  
  I, II, and III

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