SAT Math Multiple Choice Practice Test 8

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Question 22 questions

Time 26 minutes

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1.

Between which two years did Product X have the largest percent increase in profit?

A. 2000 and 2001
B. 2001 and 2002
C. 2002 and 2003
D. 2003 and 2004
E. 2004 and 2005

2.

In the figure above, if APC is a straight line and line l bisects angle DPC, what is the measure of the angle marked w?

A. 40°
B. 50°
C. 60°
D. 70°
E. 80°

3. A store sells T-shirts for $15.00 each. If you buy 2, 3, or 4 shirts, every shirt after the first is 20% off. After this, every shirt after the fourth is 50% off the original price. An expression that represents the total cost, C, of buying n shirts, where n > 4, would be

A. C = 15n
B. C = 15 + 12(n - 1) + 7.50(n - 4)
C. C = 15 + 12(n - 4) + 7.5n
D. C = 51 + 7.5(n - 4)
E. C = 51 + 7.5n

4. If j is positive and k is negative, which of the following is the greatest?

A. j + k
B. j - k
C. jk
D. k - j
E. k ÷ j

5.

7.If the line segment marked h in the figure above is 5 cm long, then the perimeter of triangle ABC equals

A. 10
B.
C. 20
D.
E. 30

6. 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 . . .

The number above begins with a "1", then continues "12," "123," "1234," and so on until the number "9" is reached. How many digits are in the final number?

A. 36
B. 40
C. 45
D. 54
E. 81

7. The area of the right triangle pictured above is

A. 21 cm2
B. 36 cm2
C. 42 cm2
D. 54 cm2
E. 108 cm2

8. The solution set to the equation x2 = x is

A. {0}
B. {1}
C. {0, 1}
D. {-1, 0}
E. {-1, 1}

9. The ratio of seniors to juniors in a certain club is 5:3. If there are 40 students in the club, then the number of juniors is

A. 3
B. 15
C. 23
D. 24
E. 25

10. Which of the following patterns could be folded up into a six-sided rectangular box, without making any cuts?

A.
B.
C.
D.
E.

11. In a certain board game, the number of points you earn in each round is a linear function of the number of spaces you control at the end of the round. If you control 3 spaces, you win 10 points. If you control 5 spaces, you win 16 points. If you control 8 spaces, the number of points you win would be

A. 6
B. 22
C. 25
D. 26
E. 160

12. Regular pentagon ABCDE has sides of length x. Regular pentagon FGHIJ has sides of length 2x. If the area of pentagon ABCDE is 20, then the area of pentagon FGHIJ is

A. 40
B. 80
C. 100
D. 200
E. 400

13. Find n if

A. 2
B. 14
C. 20
D. 44
E. 620

14.

Asked to estimate an equation for the data pictured above, a student drew a line connecting points A and B. The equation that would most closely fit this line would be

A. y = -3x + 100
B. y = 3x + 100
C.
D. y = -3x + 95
E.

15. Sergei decided to give everyone else in his study group 3 candies each, planning to have 2 left over for himself. However, one member of the group was sick; as a result, he gave 4 candies to everyone who showed up, and there was only one left over for him. How many candies were originally in the bag?

A. 5
B. 13
C. 17
D. 29
E. 34

16.

In this figure, each side of the large center square is twice as long as each side of the four medium-sized squares. Each side of the medium-sized squares is twice as long as each side of the four small squares. If the small squares have sides of length 1 cm, find the perimeter of the entire figure.

A. 40 cm
B. 52 cm
C. 60 cm
D. 64 cm
E. 80 cm

17. At a family reunion, 4 men have a grandson present, 12 have a son present, and 21 have a father present. What is the minimum number of men that could be at the reunion?

A. 21
B. 25
C. 29
D. 33
E. 37

18. In a certain triangle, angle X is twice the size of angle Y, and angle Z is 45 degrees smaller than angle X. Triangle XYZ must be

I.A right triangle

II.An isosceles triangle

III.An equilateral triangle

A. I only
B. II only
C. III only
D. I and II
E. I and III

19. Points E, F, G, and H lie on a number line, but not in that order (in either direction). If the distance EG = 23, GH = 11, and F is the midpoint of EH, then the distance FH must equal

A. 6
B. 11
C. 12
D. 17
E. 34

20. a and b are both positive integers greater than one. If a is a factor of both b + 2 and b - 3, then b could equal

A. 21
B. 25
C. 29
D. 33
E. 37

21. Ms. Belton's class and Ms. Jimenez's class have no students in common. If 45 percent of Ms. Belton's students play a sport, 30 percent of Ms. Jimenez's students play a sport, and 40 percent of the students in the two classes combined play a sport, which statement must be true?

A. The two classes have the same number of students.
B. The two classes have 30 students total.
C. Ms. Belton's class has exactly 20 students.
D. Ms. Jimenez's class has twice as many students as Ms. Belton's.
E. Ms. Belton's class has twice as many students as Ms. Jimenez's.

22.

The drawing above shows four identical triangles surrounding a smaller square. Given that AB = 10, find the area of the square.

A.
B.
C. 25
D.
E. 50