Michigan Math Tutor

Sooner Later Never

SAT/ACT Prep

Please plan ahead and pre-register for Summer SAT/ACT math tutoring sessions before it’s full (Our seats are limited-under 10 students each class).

Can I use a calculator at ACT?

You may use a calculator on the ACT Mathematics Test but not on any of the other tests in the ACT. You are not required to use a calculator. All problems on the Mathematics Test can be solved without using one.
If you wish to use a calculator, you are responsible for bringing it to the test and making sure it works properly. The test center will not provide calculators or batteries. You may not share a calculator with anyone else. You may bring a backup calculator, but you may not have more than one on your desk or in operation at a time.
You may use your calculator only while you are working on the Mathematics Test. At all other times, it must be turned off and put away. If you finish the Mathematics Test before time is called, you must turn your calculator off and wait quietly. If your calculator has games or other functions, you may not use those functions—you may use only the mathematics functions of your calculator.
WARNING: You are responsible for knowing if your calculator is a permitted model. If you use a prohibited calculator, or you use a calculator on any test other than the Mathematics Test, you will be dismissed and your answer document will not be scored. If scores are reported and ACT determines that you used a prohibited calculator or used one inappropriately on that test, those scores may be cancelled.

Permitted Calculators

You may use any four-function, scientific, or graphing calculator, unless it has features described in the Prohibited Calculators list. Models on the Calculators Permitted with Modification list may be used only if you modify them as indicated.

Prohibited Calculators

These types of calculators are prohibited:
  • Texas Instruments: All model numbers that begin with TI-89 or TI-92
  • Hewlett-Packard: hp 48GII and all model numbers that begin with hp 40G, hp 49G, or hp 50G
  • Casio: Algebra fx 2.0, ClassPad 300, and all model numbers that begin with CFX-9970G
  • calculators with built-in computer algebra systems
  • pocket organizers
  • handheld or laptop computers
  • electronic writing pads or pen-input devices—The Sharp EL 9600 is permitted.
  • calculators built into cellular phones or other electronic communication devices
  • calculators with a typewriter keypad (keys in QWERTY format)—Calculators with letter keys not in QWERTY format are permitted.

Calculators Permitted with Modification

These types of calculators are permitted, but only after they are modified as noted:
  • calculators with paper tape—Remove the tape.
  • calculators that make noise—Turn off the sound.
  • calculators that can communicate wirelessly with other calculators—Completely cover the infrared data port with heavy opaque material, such as duct tape or electrician's tape (includes Hewlett-Packard HP-38G series and HP-48G)
  • calculators that have power cords—Remove all power/electrical cords
 

  

yup, SAT means saturday cuz it's always held on saturdays
Custom Smiley 


2008 ACT SAT Summer Camp Quiz II

2008 ACT SAT Summer Camp Quiz II

Name:                 _____

1.

In the figure below, lines l and m are parallel, and AB = 5. What is the perpendicular distance between lines l and m?

 

A

B

45º

l

m

 

 

 

(A)

 

 

 

(B)

 

 

 

(C)

 

 

 

(D)

5

 

 

 

(E)

5

 

2.

In the figure below, line CF is the perpendicular bisector of AB, and the area of triangle ACD is equal to the area of triangle BCE. Which of the following statements must be true?

 

  I. Line CF is the perpendicular bisector of ED.
 II. E and D are the midpoints of BF and AF, respectively.
III. Triangles CEF and CDF have the same area.

 

 

 

(A)

I only

 

 

 

(B)

II only

 

 

 

(C)

III only

 

 

 

(D)

I and II only

 

 

 

(E)

I and III only

 

 

 

3.

A triangle and a square share the same base and have equal areas. If the length of the common base is x and the height of the triangle is h, what is the height of the triangle in terms of x?

 

(A)

 

(B)

 

(C)

2x

 

(D)

 

(E)

4x

 

4.

If ABCD is a rhombus and ABD is an equilateral triangle, what is the area of the rhombus?

 

 

 

(A)

 

 

 

(B)

 

 

 

(C)

 

 

 

(D)

 

 

 

(E)

16

 

5.

Circle D has radius 2. What is the length of arc AB in terms of a, b, and c?

 

 

 

(A)

 

 

 

(B)

 

 

 

(C)

 

 

 

(D)

 

 

 

(E)

 

 

6.   If a polygon has n sides, how many diagonals can be drawn from a given vertex?

 

(A) n-4

(B) n-3

(C) n-2

(D) n-1

(E) n

 

7.   If a polygon has n+2 sides, what’s the total interior angle?

 

(A) (n-3)• 2p

(B) (n-2) • 180º

(C) (n-1) • 180º

(D) n• 2p

(E) n• p

 

 

8. Radius = 5, AB=12, What is the distance BC?

 

(A) 5 

(B) 17

(C) 11

(D) 12

(E) 13

 

 

 

 

 

Q 9-12   M (4, -2) is the midpoint of A (3, 1) and B (x,y). 

9.           What is x+y?


(A) 0

(B) -1

(C) -3

(D) 5

(E) -5

10.   (Continued)  What is the slope of line AB?


(A) 0

(B) -1

(C) -3

(D) 5

(E) -5

11.  (Continued)  What is the distance of line AM (Caution! NOT AB)

 

(A) 5

(B) 10

(C)

(D) 5

(E) 8

 

12. (Continued)  Which one is true?

 

(A) AM slope = AB slope,               AM = 2 AB

(B) AM slope = ½ AB slope,          AM =  BM

(C) AM slope = BM slope,              AM = AB

(D) AM slope = AB slope,               BM = ½  AB

(E) AB slope = 2 BM slope,            AM = ½  AB

 

 

13.

 

(A) a=3,            b=3                                                                

(B) a=3 ,  b=3

(C) a=3 ,    b=3

(D) a=3 ,    b=3

(E) a=3,             b=3

 

b

c= 6

 

aA

45º

 

14.

 

(A) a=3,          c=6                                                                 

(B) a=3,          c=3

(C) a=3,          c=3

(D) a=3 , c=3

(E) a=3,          c=6

 

b=3

c

 

aA

45º

 

15.

 

(A) a=1/2,      b=3                                                                

(B) a=1/2,      b=3

(C) a=3,         b=3

(D) a=3,         b=3

(E) a=3,         b=3

 

b

c= 6

 

aA

30º

 

16.

 

(A) a=5 /3,      c=10 /3                                                               

(B) a=5 /3,      c=10

(C) a=5 /3        c=10

(D) a=5/2               c=10 /3                                                               

(E) a=5/2                c=5

 

b=5

c

 

aA

30º

 

17. What is the range of “a” ?

(A) 4 < a < 6

(B) 2 < a < 4

(C) 2 < a < 6

(D) 2 £ a £10

(E) 2 < a < 10

6

4

 

aA

 

18.  Which statement is true

 

(A)  A and B are Complimentary

(B)  Line l is parallel to line m

(C)  A= 105º ,  B=95º

(D)  A and C are Vertical Angles 

(E)  B and D are Alternate Angles

 

105º

l

m

105º

A

B

C

D

 

19. The cone and cylinder have the same height but the diameter of the cylinder is double of the cone, what’s the ratio of the volume of the cylinder to the cone?

(A) 12

(B)  6

(C) 4

(D) 3

(E) 2

Ice Cream Cylinder Container

Ice Cream Cone

 

 

20.  Find  x.

(A) x is even

(B) x ³ 10

(C) x £  10

(D) Here it is !

(E) All of above

 

21.  What is the circumferences of the Regular Hexagon ?

(A) 4p

(B) 6

(C)  6p

(D) 8

(E) 12

r = 2

 

 

22  What is the circumferences of the Regular Hexagon ?

(A) 4p

(B) 6

(C)  6p

(D) 8

(E) 12

r = 2

 

23  What is the volume of the solid ?

(A) 36p

(B) 18

(C)  36

(D) 72

(E) 120

Uniform Solid shape

Bottom Area = 12

Top Area = 12

l = 6

120º

 

24  What is the surface area of the cylinder that has top and bottom?

(A) 50p

(B) 50p + 50

(C) 100p

(D) 100

(E) 125p

r = 5,

h (height) =5

 

 

25  An ancient Pyramid has all six sides equal to 10.  What’s the surface area “A” (excluding the bottom)?

(A) 75

(B) 75p

(C)  100

(D) 100

(E) 150

 

 

2008 SAT/ACT Summer Camp

 

 

2008 ACT SAT Summer Camp Quiz I

Congrtulations to first round Leaders Lillian and Tony both scored at 96%!

 

1. (3 - 1)×(2 + 12/2) = ?

(A) 7

(B) 14

(C) 16

(D) 8

2.  

(A) 0

(B) > 0

(C) < 0

(D) Neither of above

3.

(A) 3

(B) 1/3

(C) 6

(D) 1/6

4. x = The GCF of the following numbers:  126, 210, 294

(A) x < 25

(B) x=21

(C) x > 40

(D) x > 45

5. y= The LCM of the following numbers:  126, 210, 294
(A) y is an even number

(B) y > 3000

(C) y > 4000

(D) All of above


 

 

6. 76 + ? - (7×4×0) - 12 = 76

(A) 12

(B) 40

(C) 28

(D) 0

7. 159,024 is divisible by which of the following?

(A) 1, 2, 3, and 4, but not 6, 8, and 9.

(B) 1, 2, 3, 4, and 6, but not 8 and 9.

(C) 1, 2, 3, 4, 6, and 8, but not 9.

(D) 1, 2, 3, 4, 6, 8, and 9.

8. 82,709 is divisible by which of the following?

(A) 3

(B) 3 and 9

(C) 8

(D) None of the above

9. Which of the following numbers is prime?

(A) 56

(B) 91

(C) 71

(D) 1

10. What is the prime factorization of 1,100?

(A) 10×10×11

(B) 2×5×11

(C) 2×2×5×5×11

(D) 2×5×10×11

11. What are the greatest common factor and least common multiple of 82 and 123?

(A) GCF = 41, LCM = 246

(B) GCF = 246, LCM = 41

(C) GCF = 6, LCM = 41

(D) GCF = 41, LCM = 6

12. Which is greatest?

(A) 8.70

(B) 8.07

(C) 8.709

(D) 8.079

13. Which statement is true

(A) 8/4 is a fraction not a whole number

(B) 2 is the smallest prime number

(C) 5 is not a prime number

(D) all of above

14. A pair of Nike shoes is priced at $95 with 30% off as a discount.  Tax is at 6%.  What’s the final price?

(A) $66.50

(B) $30.21

(C) $70.49

(D) $28.50

15. Mike spent 20% of his money on X Box that costs $200.  How much Money does Mike have left?

(A) $200

(B) $400

(C) $600

(D) $800

16. Convert 11 3/8 into an improper fraction.

(A) 35/8

(B) 41/8

(C) 91/8

(D) 41/3

17. Reduce 64/12 to lowest terms.

(A) 32/6

(B) 16/12

(C) 16/6

(D) 16/3

18. What is the least common denominator of 45 and 30?

(A) 15

(B) 90

(C) 135

(D) 270

19. 4/15 + 7/12 = ?

(A) 17/20

(B) 11/27

(C) 11/60

(D) 28/180

20. What is 5/6 of 8/15?

(A) 8/2

(B) 4/15

(C) 4/9

(D) 41/30

21. (21/4)/(3/22) = ?

(A) 237/44

(B) 63/88

(C) 7/22

(D) 77/2

22. Express 0.175 as a fraction in lowest terms.

(A) 175/1,000

(B) 175/100

(C) 35/200

(D) 7/40

23. Express 56.4% as a decimal.

(A) 564.0

(B) 56.4

(C) 5.64

(D) 0.564

24. Express 7/8 as a percent.

(A) 0.875%

(B) 8.75%

(C) 87.5%

(D) 78%

25. Express 649/1,000 as a percent.

(A) 0.649%

(B) 6.49%

(C) 64.9%

(D) 649%

26. What is 5% of 125?

(A) 6.25

(B) 25

(C) 62.5

(D) 625

 

Check the class Calendar HERE 

 

ACT

SAT

Length

3 hours, 25 minutes (including the 30-minute optional Writing Test)

3 hours, 45 minutes

Sections

4 test sections (5 with the optional Writing Test):
English, Math, Reading, Science, Writing (Optional)

10 Sections: 3 Critical Reading, 3 Math, 3 Writing (incl. the Essay), 1 Experimental (unscored)

Areas Tested

English, Math, Reading, Science, Writing (optional)

Critical Reading, Math, Writing (includes the Essay), Experimental (unscored)

Reading (ACT) / Critical Reading (SAT)

4 Reading Comprehension passages, 10 questions per passage

Reading comprehension passages and questions, and sentence completion questions

Science

Science (analysis, interpretation, evaluation, basic content, and problem solving)

Science not included

Math

Math accounts for 1/4 of overall score

Topics Covered: Arithmetic, algebra, geometry, and trigonometry

Math accounts for 1/3 of overall score

Topics Covered: Arithmetic, geometry, algebra, and algebra II

Essay

Last thing you do (optional); 30 minutes

·                                 Not included in composite score

·                                 Topic of importance to high school students

·                                 Address counterarguments

First thing you do; 25 minutes

·                                 Factored into overall score

·                                 More abstract topic (vs. the ACT)

·                                 Pick a side and stick to it

Scoring

Total composite score of 1-36 (based on average of 4 tests)

·                                 4 scores of 1-36 for each test

·                                 Score of 0-12 for the optional Essay

Total score out of 2400

·                                 3 scores of 200-800 for each section

·                                 Score of 0-12 for the Essay

Wrong Answer Penalty

No wrong answer penalty

1/4 point subtracted per wrong answer (except for Math Grid-in questions)

Test Contact Information

ACT, Inc.
(319) 337-1000
www.actstudent.org

The College Board
1-866-756-7346
www.collegeboard.com

Sending Score History

You decide which score is sent

Your entire score history will be sent automatically

Info from Kaplan Test Prep

http://www.kaptest.com/College/ACT/Learn-About-the-ACT/CO_act_satact.html

 

 

ACT/SAT and Trigonometry Math Summer Camps

http://www.satmath.org/

 

--------------------------------------------------ACT/SAT-------------------------------------------

Dear ACT/SAT Parents:

 

Update and reminder:

 

  1. The ACT/SAT class is full and if you have not registered, you can only be put on waiting list.  There is not much connectivity between sessions (Algebra vs Geometry, for instance) anyway so the impact is very minimum.  However, the Trig class is still wide open.
  2. ACT/SAT class rate will be set at $20/hr since the size of the class varies and is between 5 to 7.  Please submit the tuition in cash or check to Wendy at each session.
  3. I have attached the textbook picture.
  4. I will be at the class 30 minutes earlier on 7/16.  Look forward to meeting you all.   You are welcome to stay since I will spend the first 15 minutes to go over the introduction, the schedule, ACT/SAT overview and class rules.
  5. Thank you, Wendy and Christine for coordinating.  Our ACT/SAT class location is now changed to Christine’s gorgeous house (compared to mine)

 

 

(Coolidge @ Wattles)

 

 

Wendy:  Please forward to those parents not on the distribution list and cc to me so I can add them.

---------------------------------------------Trigonometry-----------------------------------------------

Dear Trig Parents:

 

Only change is the 7/20 schedule is changed to 6pm-8pm.

---------------------------------------------------------------------------------------------------------

 

Hope you all enjoy the summer so far.  Now, since we have relaxed for the first few weeks of summer and finally, it’s time to go back to this summer camp to boost you’re your math skills.

 

When- ACT/SAT- Every Monday 7pm to 8pm for Juniors (Middle School students) only and Wednesday 7pm to 9pm for joint Juniors and Seniors. (High School students).   Commencement on July 16, 2008. 

Trig- Every Sunday evening at 4pm.  Commencement on July 20, 2008. 

See calendar below and also subject to change.

Where- ACT/SAT Location:   (Coolidge @ Wattles)

 

Trig Location:   Troy (Maple & Rochester)

 

Both are also subject to change

 

How many students and how much it costs- Two to five students and the rate varies.  Please refer to  http://www.satmath.org/rates.htm in Category “I” and “E”.  Payment due in cash or check at each session.  ACT/SAT Class is fixed at $20/hr

 

Who should join- From 8th grade to 12th grade. 

 

What material – Bring your Pen, Pad, Calculator and  see picture for ACT/SAT Textbook 

 

For Trig, I will provide material

 

Why summer – During the semesters, students are busy with school homework not only in math but other classes as well plus the extra curriculum activities like soccer team, piano/violin lessons, ski team etc.  The only chance to concentrate ACT/SAT math is NOW.

 

What are the rules –

  1. There will be homework.  Since so many topics are to be covered in limited hours, following the instruction and do the assignments are necessary.  Students are responsible for completing the homework otherwise they may become far behind.
  2. If you miss part of the class, there is no make up session
  3. There may be some quizzes
  4. Basic class room rules apply.  Be On time+ Pay attention + Respect Others + Follow Instructions =  Good Student
  5. Frequent missing assignments or absence may cause my service to be terminated.

How to register-

Call me at 248-703-5508 or through Wendy (SAT/ACT) and/or Sara (Trig)