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BONUS WORKSHOP FOR THENOVEMBER SAT® TEST

MATH H

GENERAL QUIZ 18 QUESTIONS, 25 MINUTES

r

A = �r 2

C = 2�r

V = ℓwh

h

wℓ

A = ℓw

w

ℓ

A = bh12

b

h

rr

h

V = �r 2 h V = �r 343

b

a

c

c 2 = a 2 + b 2

rh

V = �r 2 h13

h

wℓ

V = ℓwh13

2x

x 3

x30°

60°

45°

45°s

s

s 2

Special Right Triangles

The number of degrees of arc in a circle is 360.The number of radians of arc in a circle is 2p.The sum of the measures in degrees of the angles of a triangle is 180.

SAT® is a trademark registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, this product.

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express, written permission of Karen Dillard’s College Prep, LLC. No rights claimed for original works of outside authors.2

MATH NOV-HGENERAL QUIZ

1

If‒4≤‒2x – 1 < 3, how many integer solutions exist for x ?

A. 2B. 3C. 4D. 5

2

If the area of a square is A, what is the length of the diagonal of the square in terms of A ?

A. 2A2

B. 2A

C. A2

D. A 2

3

A line with a positive slope and a negative y-intercept is graphed in the xy-plane. Which of the following points CANNOT lie on this line?

A. (‒5,‒5)B. (‒5,5)C. (5,‒5)D. (5,5)

4

Danownsarestaurantwhereheisrunningafiveweek special. His goal with the special is to generate anaverageof$20,000perweekinrevenueoverthefiveweekperiod.Inthefirstweekofthespecial,therestaurantgenerates$18,000,andtheamountgeneratedeachweekincreasesby$500overthefollowingthreeweeks.IfDanistomeethisgoalforthefiveweekperiod, which one of the following inequalities models the amount of revenue, r, in dollars, that must be generatedinweekfive?

A. 18,0005

+ 18,5005

+ 19,0005

+ 19,5005

+ r ≥ 20,000

B. 18,000+18,500+19,000+19,500≥20,000r

C. 18,000+18,500+19,000+19,500+r≥5(20,000)

D. 18,000+18,500+19,000+19,5004

+ r ≥ 20,000

A B C D

A B C D

A B C D A B C D

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MATH NOV-HGENERAL QUIZ

5

Foraschoolfieldtrip,thestudentsareseparatedintogroupsofeither2of4.Ifthereareatotalof144studentsonthefieldtripand52groups,howmanygroupsof4arethere?

6

Triangle ABC and triangle DEF are similar right triangles with B and E as the right angles. The length of ACis39andthelengthofAB is 15. If BC = 3EF, what is the value of tan D ?

7

If10s+8t=40and2s–4t=24,whatisthevalue of 3s+t ?

A. 16B. 20C. 28D. 32

9 9 9 98 8 8 87 7 7 7

5 5 5 5

6 6 6 6

4 4 4 4

2 2 2 2

3 3 3 3

1 1 1 1

0 0 0

. . . ./ /

A B C D

9 9 9 98 8 8 87 7 7 7

5 5 5 5

6 6 6 6

4 4 4 4

2 2 2 2

3 3 3 3

1 1 1 1

0 0 0

. . . ./ /

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MATH NOV-HGENERAL QUIZ

8

Weights, in pounds, of Bass Caught

3.6 4.2 4.3 4.3 4.34.5 4.8 5.0 5.2 5.6

Charliewentbassfishingandcaughttenbass.Theweights, in pounds, of the bass he caught are shown in the table above. If Charlie caught an eleventh bass that weighed w pounds, and the inclusion of that bass’ weight in the table would not change the median, mode, or range of the data, what must be the value of w ?

A. 4.0B. 4.3C. 4.4D. 4.5

9

If‒6isoneoftherootsoftheequationx2 – cx–18=0where c is a constant, what is the value of c ?

A. ‒9B. ‒3C. 3D. 9

10

The equation of a circle in the xy-plane is given as (x+8)2+(y–6)2=49.Whichofthefollowing

statements must be true about the graph of this circle?

A. It does not intersect either the x-axis or the y-axis.B. It intersects both the x-axis and the y-axis.C. It intersects the x-axis but it does not intersect the

y-axis.D. It intersects the y-axis but it does not intersect the

x-axis.

A B C D A B C D

A B C D

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MATH NOV-HGENERAL QUIZ

Questions 11-13 refer to the following information.

For every car accident that occurred in Polk County from 2011to2014,itwasrecordedifanyofthedriversinvolvedeither did, or did not, have car insurance. The data are shown in the table below.

Insurance Status of All Drivers Involved in Car Accidents in Polk County from 2011-2014

2011 2012 2013 2014Insured 1,540 2,112 1,625 1,311Uninsured 312 565 440 289

11

Which of the following is closest to the percent of all drivers shown in the table who were insured at the time oftheiraccidentandwhoseaccidentoccurredin2012?

A. 14%B. 19%C. 23%D. 26%

12

In one of the four years shown, the weather in Polk County was especially bad during the winter months, leading to more dangerous than normal road conditions. Which year is most likely the year in question?

A. 2011B. 2012C. 2013D. 2014

13

Of the insured drivers who were involved in a car accident in Polk County during the four years shown, approximately12.6%drovesedans.Whichofthefollowing is closest to the total number of sedan drivers who were involved in a car accident in Polk County from2011to2014?

A. 688B. 739C. 805D. 830

14

x f (x) g(x)‒6 ‒15 9‒4 ‒11 61 ‒1 ‒54 5 ‒1110 17 ‒23

Thetableaboveshowssomeofthedefinedvaluesof

the functions f and g. If f (a)=g(b),whatisthevalue of f (g(a)–f (b))?

A. ‒15B. ‒11C. ‒1D. 5

A B C D A B C D

A B C D

A B C D

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express, written permission of Karen Dillard’s College Prep, LLC. No rights claimed for original works of outside authors.6

MATH NOV-HGENERAL QUIZ

15

The maximum speed limit on the Queen Elizabeth WayinCanadais100kilometersperhour.Whichofthe following is closest to this maximum speed limit in feetpersecond?(1kilometer=0.62milesand1mile=5,280feet)

A. 66B. 74C. 82D. 91

16

The height of a rectangular prism is four times the width of the base of the prism and one-half the length of the base of the prism. If the volume of the prism is 256cubicinches,whatistheheight,ininches,oftheprism?

17

If 27a

81b = 1, what is the value of the ratio

ba

?

18

Apetridishoriginallyhasacolonyof40bacteriaonit.If the colony doubles in size every 8 hours, how many bacteriawillbeinthecolonyafter2days?

9 9 9 98 8 8 87 7 7 7

5 5 5 5

6 6 6 6

4 4 4 4

2 2 2 2

3 3 3 3

1 1 1 1

0 0 0

. . . ./ /

9 9 9 98 8 8 87 7 7 7

5 5 5 5

6 6 6 6

4 4 4 4

2 2 2 2

3 3 3 3

1 1 1 1

0 0 0

. . . ./ /

9 9 9 98 8 8 87 7 7 7

5 5 5 5

6 6 6 6

4 4 4 4

2 2 2 2

3 3 3 3

1 1 1 1

0 0 0

. . . ./ /

A B C D