Educational Talent Search and Upward Bound Forward Service

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Educational Talent Search and Upward Bound Forward Service Corporation

The questions assume knowledge of basic formulas and computational skills but do not require memorization of complex formulas or extensive computation

Go Through The Test Twice

Take advantage of the multiple-choice format and try each answer until you find the one that works. The greatest common divisor of 84, 90, and 66 (that is, the largest exact divisor of all three numbers) is: 84 = 2٠ 2٠ 3٠ 7 90 = 2٠ 3٠ 3٠ 5 eliminate answer E 90 does not go into 84 – 66 = 2٠ 3٠ 11 36 does not go into 84 – eliminate answer D 2٠ 3 186 does not go into 84 – eliminate answer C = 12 does not go into 90 – eliminate answer B 6 must be the correct answer and it checks

BACKSOLVE (cont) F. 0 G. 2

If you can estimate the correct answer, then you should be able to eliminate at least one or two answer choices. What is 2% of 60? 120 is greater than 60 – eliminate answer A 12 is too large – eliminate answer B 0. 012 is too small – eliminate answer E

GUESSTIMATE (cont. ) A ? 4 meters B 3 meters 12, 7, and 5 are longer than the hypotenuse – eliminate answers F, G, and H C

GUESSTIMATE (cont. ) A ? 4 meters B 3 meters C

By looking at the figure: X looks too big to be 5°- eliminate answer A X looks too small to be either 60° or 55° - eliminate answers E and D In the figure below, what is the value of x? x 125° 85°

EYEBALL (cont. ) In the figure below, what is the value of x? x 125° 55° 95° 85° 180 – 125 = 55 180 – 55 – 95 = 30 180 - 85 = 95

EYEBALL (cont. ) F. 99° G. 120° H. 133° J. 167° K. 240° A

EYEBALL (cont. ) Total number of students = 720 Total number of freshmen = 240 Total number of degrees in a circle = 360°

Some problems are hard because they’re general or abstract, so replace variables with specific numbers If kx + k = 0, and k>1, then x = ? Let k = 2 Let k = 5 kx + k = 0 kx + x = 0 2 x + 2 = 0 5 x + 5 = 0 2 x = -2 5 x = -5 x = -1

PICK NUMBERS (cont. ) If kx + k = 0, and k>1, then x = ? kx + k = 0 k(x+1) = 0 k= 0 OR x+1 = 0 k= 0 OR x = -1

PICK NUMBERS (cont. )

Question 1 D C 4 A 12 3 B

13 C 5 4 A D 12 3 B

Question 2 a b c d e

Question 3 A shirt that originally cost $35 is on sale at 20% off. If the sales tax on shirts is 5% of the purchase price, how much would it cost to buy the shirt at its sale price? 35 (. 20) = 7 35 – 7 = 28 28 (. 05) = 1. 40 28 + 1. 40 = 29. 40 35 (. 80) = 28 28 (1. 05) = 29. 40

Question 4

Question 5 B A C D

B 90 A 30 60 120 C D

Question 6

Question 7

2 x + 5 y = 20 6 x – ½ y = 29 2 x + 5 y = 20 multiply by 10 add equations together solve for x 60 x - 5 y = 290 62 x = 310 x=5

2 x + 5 y = 20 6 x – ½ y = 29 solve for y 12 x – y = 58 -y = 58 – 12 x y = -58 + 12 x solve for x 2 x + 5(-58+12 x) = 20 2 x + -290 + 60 x = 20 62 x + -290 = 20 62 x = 310 x=5

Question 8

Question 9

Question 10 C D A B

C D 80° A B 180 – 30 – 50 = 100

Question 11 T 4 x R 3 S

T 5 4 x R 3 S

Question 12 In the figure below, the lengths of DE, EF, and FG are given, in units. What is the area, in square units, of triangle DEG? G 10 D 12 E 7 F

In the figure below, the lengths of DE, EF, and FG are given, in units. What is the area, in square units, of triangle DEG? G 10 D 12 E 7 F

Question 13 A 6 O B

A 6 O B

Question 14 A 13 C 12 B

A 13 5 C 12 B

Question 15

Question 16 What is the cost in dollars to carpet a room x yards long and y yards wide if the carpet costs two dollars per square foot? x yards = 3 x feet y yards = 3 y feet Total Cost = area x price = 9 xy (2) = 18 xy

Question 17 In the figure below, the largest possible circle is cut of a square piece of tin. The area of the remaining piece of tin is approximately (in square inches) 2 inches

Question 17 In the figure below, the largest possible circle is cut of a square piece of tin. The area of the remaining piece of tin is approximately (in square inches) 2 inches 1 4 – 3. 14 = 0. 86

Question 18

Question 19 9 x 3=27

Question 20 Lyndsey receives grades of 91, 88, 86, and 78 on four tests. What grade must she receive on her fifth test to have an average test score of 85?

Question 21 x + 3 x = 180° 4 x = 180° x = 45°

Question 22 A bag contains 4 red jelly beans, 5 green jelly beans, and 3 white jelly beans. If a jelly bean is selected at random from the bag, what is the probability that the jelly bean selected is green? Probability of drawing a green jelly bean

Question 23 For all positive values of a, b, and c with a<b and a>c, which of the following MUST be true? I. a+b>c II. 2 a>c III. a+c>b II. a>c, so 2 a>c – TRUE III. If c=2, a=4, and b=10, then a+c<b - FALSE

Question 24 B A 1 C

Question 25 B D A E C

B 4 10 D 6 A 20 20 -x E x C

Don’t read the directions Bring a calculator that you know how to use Read the question carefully Pay attention to what the question asks you to find Watch for unnecessary information Draw a picture Pace yourself (60 questions/60 minutes)

Do the easy questions first, then try the hard ones Show some work and circle your answers in your test booklet Don’t waste too much time on one problem Eliminate wrong answers before guessing Answer every question Check your work Work for the whole 60 minutes

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