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12.Practice.Tests.for.the.SAT_2015-2016_1128p

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Section 61<br />

Practice Test Six 535<br />

9. If !1.. = .2_, what is <strong>the</strong> value of q?<br />

2 10<br />

SILLY YO-YO COMPANY'S APRIL SALES<br />

Small Large Total<br />

Red 500<br />

Blue 1,000<br />

Total 3,200 5,000<br />

10. Silly Yo-Yo Company sells only red and blue<br />

yo-yos, both of which are available in small and<br />

large sizes. On <strong>the</strong> basis of <strong>the</strong> in<strong>for</strong>mation in <strong>the</strong><br />

above table, how many red yo-yos were sold in<br />

April?<br />

11. If m and n are two distinct prime numbers greater<br />

than 2, and p = mn, how many positive factors,<br />

including 1 and p, does p have?<br />

12. The length and width of a rectangle are integers. If<br />

<strong>the</strong> area of <strong>the</strong> rectangle is 85, what is one possible<br />

value <strong>for</strong> <strong>the</strong> perimeter of <strong>the</strong> rectangle?<br />

13. The population of Clarktown was 120 when <strong>the</strong><br />

town was founded in 1900. Since <strong>the</strong>n it has doubled<br />

every 6 years. The population of <strong>the</strong> town can be<br />

t<br />

described by <strong>the</strong> equation n = (120)26, where n is<br />

<strong>the</strong> population and tis <strong>the</strong> number of years that have<br />

passed since 1900. In what year will <strong>the</strong> population of<br />

Clarktown be 7 ,680?<br />

15. If- 1 (30.x3 + 20.x2 + lOx + 1) = a.x3 + bx2 + ex+ d<br />

10<br />

<strong>for</strong> all values of x, where a, b, c, and d are all<br />

constants, what is <strong>the</strong> value of a + b + c + d?<br />

y<br />

L M(9, r)<br />

---<br />

N(r + 2, 0)<br />

16. In <strong>the</strong> figure above, <strong>the</strong> area of parallelogram<br />

LMNO is 24. What is <strong>the</strong> value of r?<br />

17. For all positive integers c and d, let c 9\ d be defined<br />

as <strong>the</strong> remainder when c is divided by d.<br />

If 23 9\ w = 4, what is <strong>the</strong> value of w?<br />

18. The total cost of a car rental is <strong>the</strong> sum of<br />

( 1) a basic fixed rental charge <strong>for</strong> <strong>the</strong> car; and<br />

(2) an additional charge <strong>for</strong> every 25 miles traveled.<br />

If <strong>the</strong> total cost to rent a car and drive it 50 miles<br />

is $200, and <strong>the</strong> total cost to rent a car and drive it<br />

200 miles is $245, what is <strong>the</strong> total cost to rent a car<br />

and travel 450 miles?<br />

(Disregard <strong>the</strong> $ sign when gridding your answer.<br />

If, <strong>for</strong> example, your answer is $1.37, grid 1.37.)<br />

40°<br />

130°<br />

14. In <strong>the</strong> figure shown above, composed of four<br />

straight line segments, what is <strong>the</strong> value of x?<br />

,;4 " ,.. · ''"'"'"l'M'if,.v,l "c·1 "' Y" , " '"' • •<br />

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,'_:IF·YOU-FINISH:BEFOREJIME IS,CALLED, YOU MAY CHECK YOUR WORK ON:<br />

'\ ,TH1's SECTION' ONLv:,bo NOT TURN To ANY OTHER SECTION IN THE TEST. ,<br />

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';{ •"\ ' •, ,,., ""',s",, ' '"ct# ' !>'" t ·' 1<br />

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STOP<br />

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