1. If f(x) = 8x + 2, what is 3f(2) + 1? (A) (B) (C) (D) (E)
8 17 36 49 55
3. If x2 + y2 = 14 and xy = 3, then (x + y)2 = (A) (B) (C) (D) (E)
11 17 20 24 28
1, 7, 49, 343, … Month
Account balance
January
$2,500.00
February
$3,200.00
March
$4,000.00
April
$4,700.00
May
$5,700.00
June
$6,600.00
4. Each term in the sequence above after the first is determined by multiplying the previous term by 7. What will be the units (ones) digit of the 96th term? (A) (B) (C) (D) (E)
9 7 5 3 1
2. The table above represents the balance in Judy's savings account at the end of every month for a 6 month period. During which period did Judy see the greatest percent change in her total savings? (A) (B) (C) (D) (E)
From January to February From February to March From March to April From April to May From May to June
PWN the SAT - Math Diagnostic Drill #1 (page #1)
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5. A certain sequence is defined such that the nth term in the sequence is equal to n2 + 1. How much greater is the 10th term than the 7th term in the sequence? (A) (B) (C) (D) (E)
3 49 51 72 90
8. What is the sum of the marked angles in the figure above?
6. The average test score in a class of 12 students was a 74. If 4 of the students averaged a 96 on the test, what was the average score of the rest of the class? (A) (B) (C) (D) (E)
70 63 58 44 39
(A) (B) (C) (D) (E)
180 270 360 450 It cannot be determined from the information given.
9. The length of a certain rectangle is increased by 10%, and its width is decreased by 10%. Its new area is what percent of its original area?
x
2
3
4
f(x) 11 16 23
(A) (B) (C) (D) (E)
99% 100% 101% 110% It cannot be determined from the information given.
7. Based on the table above, which of the following could be an expression of f(x)? (A) (B) (C) (D) (E)
f(x) = 8x – 7 f(x) = 5x + 1 f(x) = –3x – 9 f(x) = x2 + 7 f(x) = 6x – 1
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12. A certain salad contains croutons, nuts, and raisins. The ratio of croutons to nuts is 3 to 4, and the ratio of raisins to nuts is 3 to 5. What is the ratio of croutons to raisins? (A) (B) (C) (D) (E)
5 to 4 4 to 5 2 to 3 9 to 20 3 to 10
10. Which of the following could be the equation of the parabola above? (A) (B) (C) (D) (E)
f(x) = x2 – 7x + 9 f(x) = x2 – 7x – 9 f(x) = –x2 + 7x + 9 f(x) = x2 + 7x – 9 f(x) = –x2 – 7x – 9
13. A circle has an area of 49π3. What is its diameter? (A) (B) (C) (D) (E)
7 14 7π 14π 49π
11. In the figure above, AB is the diameter of the circle, and AC = BC. What is the area of the shaded region? (A) (B) (C) (D) (E)
4π – 2 2π – 1 π π–1 π–2
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16. If x + y = r and x – y = s, then in terms of x and y, r2 – s2 = (A) (B) (C) (D) (E)
x2 + y2 x2 – y2 4xy 2 0
14. The rectangle above has a length of 8 and a width of 10. Points A, B, C, and D are all midpoints of the sides upon which they fall. What is the area of the shaded region? (A) (B) (C) (D) (E)
20 30 35 40 50
17. Line n has a slope of -½ and a positive y-intercept. Line l passes through the origin, is perpendicular to line n, and intersects line n at the point (a, a+2). What is the value of a? (A) (B) (C) (D) (E)
0.5 1 1.75 2 2.5
Note: Figure not drawn to scale.
15. In the figure above, AB = 14, BC = 10, and CD = 4. What is the length of AD (not shown)? (A) (B) (C) (D) (E)
10 10√2 10√3 12 12√2
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20. Let ☼x = 15(x – 5)2 – 8. Which of the following is equal to ☼3?
Note: Figure not drawn to scale.
(A) (B) (C) (D) (E)
☼(–3) ☼2 ☼5 ☼7 ☼52
18. The two horizontal lines in the figure above are parallel. What is x? (A) (B) (C) (D) (E)
135 150 165 170 175
19. One third of a concert's attendees left the show before the encore. Twenty more people left during the encore. After the encore, half as many people as had left before the encore left. If 76 people waited around after the show was over to try to get autographs, how many people were originally at the concert? (A) (B) (C) (D) (E)
All done? Click here for the answer key! If you've printed this out, go to this URL (type it exactly): http://bit.ly/jNul5h If you have a smart phone with a barcode reader, you can scan this instead:
150 165 192 240 270 (OMG so cool.)
PWN the SAT - Math Diagnostic Drill #1 (page #5)
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