ghsgt math review

GHSGT Math Review

The Test is Tuesday, March 25, 2008

@ 8:30 amAre you ready?

GHSGT Math Review1) Employees at Wal-Mart are given a 40 percent discount on purchases. How much did Frank pay for a $1,200 computer after his discount?A. $400B. $480C. $720D. $800

Correct Answer: C

$1200 – (1200 X 0.4)$1200 – $480 = $720

Or

$1200 x 0.6

GHSGT Math Review

2) Which number means fifty-seven thousand fifty-seven ?

A. 57,057B. 570,057C. 5,700,057D. 57,000,057

Correct Answer: A

GHSGT Math Review

3) Which number is LEAST?

A. 0.031B. 0.13C. 0.31D. 0.013

Correct Answer: D

Hint: add zeros to end0.0310.1300.3100.013

GHSGT Math Review4) 8,859 + 235 + 376 = ?

The closest estimate is:

A. 7,000B. 8,000C. 9,000D. 12,000

Correct Answer is: C

8859 + 235 + 376 =9470

The closest answer is9000

GHSGT Math Review

5) 40,237 - 2,369 = ?

The closest estimate is:

A. 12,000B. 23,000C. 37,000D. 38,000

Correct Answer is: D

40,237 – 2369 =37,868

The closest answer is38,000

GHSGT Math Review6) Doughnuts cost $3.99 a dozen. Which operations can be used to find the cost of 3 doughnuts?

A. addition, then subtractionB. subtraction, then additionC. multiplication, then divisionD. division, then multiplication

Correct Answer is : D

GHSGT Math Review7) In the election for homecoming queen,Jean received 1,206 votes and Mitsi received 978 votes. Which is a reasonable estimate of the margin of victory?

A. 200B. 300C. 400D. 500

Correct Answer is: A

1206 – 978 = 228

The closest answer is200

GHSGT Math Review8) Carolyn bought a quart of milk for 62 cents. Sonya bought a half-gallon of milk for $1.12. Which statement is true?

A. Carolyn got the better buy.B. Sonya got the better buy.C. The unit price was the same in both cases.D. Not enough information is given to compare what they spent.

Correct Answer is: B

½ gallon = 2 quarts

Sonya’s milk cost $1.12 ÷ 2 = $0.56 per quart

Since $0.56 < $0.62,Sonya got the better buy

GHSGT Math Review

9) Sheryl bought a TV from Circuit City for $479, plus 5 percent sales tax. The total cost was:

A. $718.50B. $529C. $526.90D. $502.95


Total Cost = $479 + ($479 x .05)

$479 + $23.95 = $502.95

GHSGT Math Review10) Of the 640 votes cast for senior class president, Lisa received 70 percent. How many votes did she get?

A. 194B. 448C. 520D. 542

Correct Answer is : B

640 x .70 =448

GHSGT Math Review11) The repair bill for Mr. Jones's car was $25 more than the mechanic's estimate. If the bill was $309, what was the estimate?

A. $344B. $334C. $294D. $284


$309 - $25 = $284

GHSGT Math Review12) Damon is ordering computer software on the Internet. To get free shipping, he prepays with a credit card. He orders three software packages at $97.95, $43.90, and $23.95, and he must pay 4 percent sales tax. How much will his card be charged for this order?

A. $165.80B. $172.43C. $179.75D. $189.75


($97.95 + $43.90 + $23.95) x 1.04 =

$172.43

GHSGT Math Review13) Habib is going to the movies. He wants to buy popcorn and a drink. If a ticket costs $5.75, popcorn costs $1.75, and a drink costs $0.99, about how much money should he take with him?

A. $6B. $7C. $8D. $9


$5.75 + $1.75 + $0.99= $8.49

He will need to take about$9

GHSGT Math Review14) A lunch in a cafeteria consists of 1 meat, 1 bread, and 1 drink. The choices are:

Meat: ham, turkey, or chickenBread: white or ryeDrink: juice, milk, or iced tea

How many possible outcomes are there?

A. 24B. 18C. 7D. 6


There are 3 options for meat, 2 options for bread,

and 3 options for drink

3 x 2 x 3 = 18

GHSGT Math Review15) You choose a playing card at random from a normal deck of 52. What is the probability of getting a spade?

A. 1 / 52B. 1 / 13C. 1 / 4D. 4 / 13


There are 13 spades in a deck, so the probability is

13 / 52

Or

1 / 4

GHSGT Math Review16) If you spin this spinner once, what is the probability of getting 1?

A. 1 / 18B. 1 / 10C. 1 / 6D. 1 / 2


P(1) = 3 / 6

or

1 / 2

GHSGT Math Review

17) Three coins are tossed. How many outcomes are possible?

A. 2B. 4C. 6D. 8


Total outcomes are 2 for first coin, 2 for second coin,

and 2 for third coin

2 x 2 x 2 = 8

GHSGT Math Review18) This bar graph shows results of a survey about people's preferred types of entertainment. Approximately how many people were surveyed?

A. 90B. 300C. 700D. 1,200


210 + 320 + 140 + 90 =760

The closest choice is700

GHSGT Math Review19) This circle graph shows Mr. Green's budget. Which group of items represents 50 percent of this budget?

A. food, clothes, and giftsB. medical, savings, and clothesC. savings, medical, and foodD. gifts, medical, and food


15% (medical) + 10% (savings) + 25% (clothes) =

50%

GHSGT Math Review

20) What is the mean of 140,142, and 156?

A. 142B. 144C. 146D. 148


140 + 142 + 156 = 438

438 ÷ 3 = 146

GHSGT Math Review21) Laura's scores on four quizzes were 76,85,70, and 75. She wants an average of 80. What must she score on the next quiz?

A. 94B. 88C. 80D. She cannot achieve an average of 80 on the five quizzes.


She needs a total of5 x 80 = 400 points

(5 tests, 80%)

400 – 76 – 85 – 70 – 75 =

94

GHSGT Math Review22) Julie is going away for the weekend. She packs a red blouse, a white blouse, black slacks, gray slacks, a blue blazer, and a black blazer. How many different outfits can she can make consisting of a blazer, slacks, and a blouse? (Hint: Make a list.)

A. 8B. 5C. 3D. 2


She has 2 choices of blouses, 2 choices of

slacks, and 2 choices of blazers

Total Outfits2 x 2 x 2 = 8

GHSGT Math Review23) A car averages 5 kilometers on 1 liter of gasoline. You are driving from Atlanta to Tampa, a distance of 680 kilometers, in this car. How much gasoline do you need?

A. 685 litersB. 142 litersC. 136 litersD. 132 liters


680 ÷ 5 = 136

GHSGT Math Review24) A punch recipe calls for 3½ cups of pineapple juice. Maria wants to make only half as much punch. How should she calculate the amount of pineapple juice to use?

A. 3½ + ½B. 3½ - ½C. 3½ x ½ D. 3½ ÷ ½


GHSGT Math Review25) Shown below is a recipe for brownies. A serving is 1 brownie. How much flour is needed for 48 brownies?

A. 1½ cupsB. 2 cupsC. 3 cupsD. Not enough information is given todetermine this.


Let x = cups of flour32 / 48 = 1 / xCross multiply

x = 1.5 or 1½

GHSGT Math Review

26) The temperature of a warm bath could be:

A. 20°CB. 39°CC. 60°CD. 98°C


Body Temperature is about 37° C

GHSGT Math Review

27) Which unit of liquid measure is LARGEST?

A. pintB. gallonC. cupD. quart


2 cups = 1 pint2 pints = 1 quart

4 quarts = 1 gallon

GHSGT Math Review28) Gwen Torrence won a gold medal for the 200-meter sprint in the Atlanta Olympics. Her time for this race can best be stated in:

A. secondsB. minutesC. hoursD. days


GHSGT Math Review29) At an average speed of 70 miles per hour, it takes 3½ hours to travel from Rome to Thomasville, Georgia. What is the distance between the two cities?

A. 200 milesB. 245 milesC. 280 milesD. 310 miles


D = rt

D = 3½ x 70

D = 245

GHSGT Math Review30) Minnie weighed 140 pounds when she started dieting. She lost 2 pounds 4 ounces during the first week. How much did she weigh then?

A. 138 pounds 4 ouncesB. 138 poundsC. 137 pounds 12 ouncesD. 137 pounds 8 ounces


4 ounces = ¼ pound,So she weighed

140 – 2.25 = 137.75

or

137 pounds 12 ounces

GHSGT Math Review31) Ross ran a marathon in 3 hours 48 minutes 10 seconds. Althea had a time of 4 hours 27 minutes 35 seconds. How much slower was Althea?

A. 21 minutes 25 secondsB. 39 minutes 25 secondsC. 1 hour 21 minutes 25 secondsD. 1 hour 39 minutes 25 seconds


Ross’s Time – Althea’s Time

GHSGT Math Review32) Hassan started typing a paper at 1:45 P.M. and finished at 2:30 P.M. How many minutes did he take to type the paper?

A. 30B. 45C. 90D. 180

Correct Time is: B

GHSGT Math Review33) Which measurement is equivalent to 76 inches?

A. 2 yards 1 footB. 6 feet 6 inchesC. 6 feet 4 inchesD. 2 yards


6 feet 4 inches =72 inches + 4 inches =

76 inches

GHSGT Math Review34) Shown below is a famous ancient structure in Egypt. Which figure is it all example of?

A. coneB. pyramidC. parallelogramD. triangle


GHSGT Math Review

35) A triangle in which all three sides are congruent is:

A. rightB. scaleneC. isoscelesD. equilateral


GHSGT Math Review

36) The sum of the three angles in any triangle is:

A. 45°B. 90°C. 180°D. 360°

Correct answer is: C

GHSGT Math Review37) If a compact disk rotates 90°, how many more degrees must it rotate to complete one revolution?

A. 90°B. 180°C. 270°D. 360°


360 – 90 = 270

GHSGT Math Review38) What is m PQR?

A. 290B. 220 .C. 140D. 70


360 – 70 =

290

GHSGT Math Review39) The radius of a circle is 8 units. What is its approximate circumference?

(Use C= π x d and π =3.14)

A. 200.96 unitsB. 100.48 unitsC. 50.24 unitsD. 37.68 units


3.14 x 2 x 8 =

50.24

GHSGT Math Review40) What is the area of this circle? (A = π x radius²)

A. 43.96B. 153.86C. 307.72D. 615.44


3.14 x 7 x 7 =

153.86

GHSGT Math Review41) What is the area of this

triangle? (A =½bh)

A. 135B. 108C. 67.5D. 54


½ x 9 x 12 =

54

GHSGT Math Review42) Area is:

A. the space inside a two- dimensional closed figure B. the distance around the outside of a two- dimensional closed figureC. both A and BD. neither A nor B


GHSGT Math Review43) Identify the triangular prism or prisms.

A. I onlyB. I and II onlyC. I and III onlyD. III only


GHSGT Math Review44) In a regular square pyramid, an edge of the base measures 10 feet. The height of the pyramid is 6 feet. What is the volume?

(V = ⅓ x base area x height)

A. 150 cubic feetB. 200 cubic feetC. 250 cubic feetD. 300 cubic feet


⅓ x 10 x 10 x 6 =

200

GHSGT Math Review45) What is the volume of

a square prism in which one side of the base is 8 meters and the altitude (height) is 8 meters?

(V = base area x height)

A. 64 B. 192C. 128D. 512


Volume = 8 x 8 x 8

Volume = 512

GHSGT Math Review46) Mrs. Johnson wants to carpet her living room. The dimensions of the room are 4 yards by 8 yards. How much will it cost if the price of the carpet is $10 per square yard?

A. $2,880B. $960C. $320 D. $225


Area = 4 x 8 = 32

Cost = $10 x 32

Cost = $320

GHSGT Math Review47) There are 16 girls and 14 boys in an algebra class. Which is NOT the ratio of boys to girls?

A. 14:16B. 7:8C. 8:7D. 14 / 16


GHSGT Math Review48) Driving his car, Sean uses approximately 9 gallons of gasoline each week. If he pays $1.29 a gallon, about how much money should he plan to spend on gasoline each week?

A. $18B. $12C. $11D. $10


9 x $1.29 = $11.61

The closest answer is

$12

GHSGT Math Review49) A rectangular field is fenced on two adjacent sides by a stone wall. The length of the field is 63 meters. The area of the field is 1323 square meters. How much fencing is needed to enclose the two sides not fenced by the stone walls?

A. 42 metersB. 84 metersC. 105 metersD. 126 meters


Width = Area ÷ LengthWidth = 1323 ÷ 63

Width = 21

Fencing needed = 63 + 21

84

GHSGT Math Review50) Which formula could be used to find the length of the hypotenuse of a triangle?

A. C = 2 x π x rB. c = √ a²+b²C. A=lwD. V=lwh


Pythagorean Theorem

GHSGT Math Review51) If the measure of angle AOC= 90, which angle is its supplement?

A. angle DOEB. angle COEC. angle DOAD. angle AOD


GHSGT Math Review

52) If m L XYZ = 91, then L XYZ is:

A. acuteB. rightC. obtuseD. straight


GHSGT Math Review53) One of two supplementary angles has a measure 4 times the measure of the other angle. The measure of the larger angle is:

A. 18°B. 36°C. 72°D. 144°


x = smaller angle4x = larger angle

x + 4x = 1805x = 180

x = 36

Larger angle = 5x144

GHSGT Math Review54) In the figure below, m L 1 = 23 and m L 5 = 34. What is mL3 ?

A. 33B. 57C. 113D. 123


mL3 + mL4 + mL5 = 180

mL3 + 23 + 34 = 180mL3 = 123

GHSGT Math Review55) Select the appropriate equation to solve this problem: 16 percent of what number is 90?

A. 0.16x=90B. x = (0.16) (90)C. 90x = 0.16D. x = (1.16) (90)


GHSGT Math Review

56) Simplify:

3(x- 5) + 7x

A. 10x- 15B. 10x- 5C. 4x + 5D. 4x -15


3(x – 5) + 7x3x – 15 + 7x

10x – 15

GHSGT Math Review

57) Which expression means one fourth of x is five less than twice x ?

A. 4x = 2x – 5 B. 4x = 5 – 2x C. ¼x = 2x – 5D. ¼x = 5 – 2X


GHSGT Math Review58) Find volume when length = 2.5, width = 4.5, and height = 4.

(V = lwh)

A. 0.045B. 0.45C. 4.5D. 45


Volume = 2.5 x 4.5 x 4

Volume = 45

GHSGT Math Review59) Solve this proportion: (x – 2) / 7 = (x + 3) / 14

A. x= -3B. x = 5C. x = 7D. x = 10


Cross Multiply

GHSGT Math Review

60) What is the slope of the line that contains the points (2, 5) and (7, 8) ?

A. -5/3B. -3/5C. 3/5D. 5/3


Slope Formula

GHSGT Math Review61) The solution to the linear system 2x + y = 2 and x – y = 1 is (1,0). Which graph represents this system?


GHSGT Math Review62) In Bernita's cell phone plan, the first 100 minutes cost 20 cents per minute, and the next 100 minutes cost 10 cents per minute. Last month she talked for 166 minutes. Which expression would give her bill, to the nearest cent?

A. (100 x 0.20) + (100 x 0.10)B. (100 x 0.20) + (66 x 0.10)C. (100 x 0.20) - (100 x 0.10)D. (66 x 0.20) - (66 x 0.10)


GHSGT Math Review63) What are the x-intercept and the y-intercept of the line of the equation

3x - 4y = 24?

A. (0, -6) and (-8, 0)B. (8, 0) and (0, -6)C. (-8, 0) and (0, -6)D. (0, 6) and (8, 0)


To find x-interceptlet y = 0

To find the y-interceptlet x = 0

GHSGT Math Review64) Solve this system of equations for x and y:

2x + 2y = -12x + y = 2

A. (5/2, -3)B. ( 2, ½ )C. ( -5/2, 3)D. (1, -2)


Hint: Substitute answers in equations to see which

works

GHSGT Math Review

65) A line rises from left to right across the coordinate plane. Its slope is:

A. positiveB. negativeC. zeroD. undefined


GHSGT Math ReviewTips for the Test

Bring a Scientific Calculator with youDon’t leave any blank

If you guess, always use the same letterWrite on the test

You don’t get extra points for finishing firstWork backwards

Get another Practice test to look at more problems

GHSGT Math Review

More Practice Problems

GHSGT Math Review

66) The number 30308 is most likely a:

A. Zip codeB. Sale priceC. Telephone numberD. Social security

number


GHSGT Math Review

67) Which decimal is closest to 6¼?

A. 6.41B. 6.30C. 6.21D. 6.20


Change 6¼ to decimal6.25

Closest to 6.21

GHSGT Math Review

68) What is the identity element for addition?

A. 0B. 1C. 1/0D. 1/x

Correct answer is: A

Identity means doesn’t change.

GHSGT Math Review69) Which method would

not be appropriate for calculating your income tax?

A. CalculatorB. ComputerC. Mental mathD. Paper and pencil


The government will not allow mistakes on your

income tax!

GHSGT Math Review70) Michiko borrowed $500

at a simple annual interest rate of 7%. She took out the loan on April 1 and repaid it July 1. How much interest did she pay?

A. $8.75B. $35C. $43.75D. $535


Interest = Principle x Rate x TimeInterest = 500 x .07 x 3/12

Interest = $8.75

GHSGT Math Review71) In which situation would an

approximate number be expected?

A. Number of students in Mr. Hensley’s math class

B. Amount of time it would take to walk to a store and return home.

C. Number of hours for which Jack will be paid, for an hourly job

D. Number of donuts in a box of two dozen

Correct answer is: B

You don’t have to be exact

GHSGT Math Review

72) What kind of graph is best used to show a percent or a part of the total?

A. Bar graphB. Circle graphC. Line graphD. Pictograph


Bar Graph is used for comparisons

Line graphs look at something over a period of

timePictographs is another form

of a bar graph

GHSGT Math Review73) A box of candy weighs

50 ounces. About how many pounds does it weigh?

A. Between 0.5 and 1B. Between 1.5 and 2C. Between 2 and 3D. Between 3 and 4

Correct answer is: D

50 ÷ 16 = 3.125

This is between 3 and 4

GHSGT Math Review74) Which is a reasonable

estimate of the width of a building?

A. 55 millimetersB. 55 centimetersC. 55 metersD. 55 kilometers


Centimeter is about an inchMeter is about a yard

Kilometer is about a mile

GHSGT Math Review75) A bus travels 70 miles

per hour. How long will it take to travel the 100 miles between Atlanta and Macon?

A. About 1 hourB. About 1.5 hoursC. About 2 hoursD. About 2.5 hours


D=rt100 ÷ 70 = 1.43

The closest answer is 1.5 hours

GHSGT Math Review76) The engineers at Phillips

Company need to know how many computer parts can be shipped in a box of a certain size. What do they need to find?

A. Surface areaB. Lateral areaC. PerimeterD. volume


Volume tells how much room is inside

GHSGT Math Review77) The circumference of a

circle is 36. What is its approximate radius?(Use C = 2πr)

A. 6B. 9C. 12D. 18

Correct answer is: AC = 2πr

Radius = C ÷ 2πRadius = 36 ÷ 2π

Radius = 5.7

The closest answer is 6

GHSGT Math Review

78) If two polygons are congruent, they:

A. Are perpendicularB. Are circumscribed by a

circleC. Have the same size and

shapeD. Have been transformed

by a rotation


GHSGT Math Review

79) A right triangle has a 42° angle. Find the measure of the other two angles.

A. 90 and 100B. 60 and 90C. 48 and 90D. 42 and 90


Right angle is 90, so the third angle measures

180 – 90 – 42 = 48

GHSGT Math Review80) Simplify 3(2x – 5) + 7x

A. 13x + 5B. 13x – 15 C. 12x – 5 D. 12x + 15


3(2x – 5) + 7x6x – 15 + 7x

13x – 15

GHSGT Math Review81) Yasmin bought a notebook

from the school bookstore for $5. She also bought 6 pads for $1 each and 4 ballpoint pens at $2 each. Which expression represents the amount of money she spent?

A. (5 + 6)1 + 4(2)B. 6(1) + 4(5) + 2C. 5 + 6(1) + 4(2)D. 2 + 6(1) + 5(4)


GHSGT Math Review82) If the cost of 3 pencils is

$0.49, which proportion could be used to find the value of 10 pencils?

A. 3 / 10 = .49 / xB. 3 / 10 = x / 49C. 3 / x = 49 / 10D. x / 3 = 10 / 49


GHSGT Math Review83) Which is the solution of

this system of equations?x = 2y + 34x – 5y = 9

A. (5, 1)B. (1, -1)C. (2, 7)D. (-1, 1)


Hint: Substitute in to see which one is the

solution to both.

GHSGT Math Review84) Uri buys a belt for

$15.99 and a shirt for $35.99. The sales tax is 5 percent. If Uri pays with a $100, how much change will he get?

A. $45.42B. $48.59C. $51.41D. $54.58


$15.99 + $325.99 = $51.98$51.98 x 1.05 = $54.58

Change is$100 - $54.58 = $45.42

GHSGT Math Review85) At a restaurant, it is

customary to tip the waiter or waitress. Many people leave 15 percent of the bill as a tip. If the bill for the meal is $14.80, estimate the total cost, including the tip

A. $ 2.22B. $ 16.25C. $ 17.25D. $ 19


$14.80 x 1.15 =$17.25

GHSGT Math Review86) Jeanette has 2 pairs of black

shoes; 2 pairs of white shoes; and 1 pair each of blue, red, tan, and brown. If she reaches into a dark closet and picks a pair at random, what is the probability that she will get white shoes?

A. 1 / 8B. 20 percentC. 1 / 4D. 50 percent


P(white) = 2 / 8or

1 / 4

GHSGT Math Review

87)Which is the most reasonable unit for measuring the mass of a cell phone?

A. CentimeterB. MeterC. GramD. Kilogram


GHSGT Math Review

88) In basketball, the height of the basket is approximately 10:

A. InchesB. FeetC. Square feetD. Miles


GHSGT Math Review

89) Which is the closest to the weight of a cough drop?

A. 250 milligramsB. 250 gramsC. 250 kilogramsD. 250 kilometers


GHSGT Math Review90) Which is closest to the

average temperature of the inside of a refrigerator?

A. 75° FB. 45° FC. 25° FD. 15° F


GHSGT Math Review

91) The capacity of a medicine dropper is approximately:

A. 3 kilometersB. 3 kilolitersC. 3 litersD. 3 milliliters


GHSGT Math Review92) On a sports car, the hubcap

has a 4-pronged rim equally spaced that create an interesting pattern while turning. What is the degree measure of each arc formed by adjacent spokes?

A. 25 °B. 30 °C. 72 °D. 90 °


360° ÷ 4 = 90°

GHSGT Math Review93) The numbers below are

the lengths of sides of triangles. Which is not a right triangle?

A. 3, 4, 5B. 5, 12, 13C. 1.2, 0.5, 1.3D. 1, 2, 2


Use the Pythagorean Theorem

c² = a² + b²2² = 2² + 1²4 = 4 + 1

4 ≠ 5

GHSGT Math Review94) In a right triangle, one

leg is 9 feet long and the hypotenuse is 15 feet long. What is the length of the other leg?

A. 17 feetB. 12 feetC. 9 feetD. 7 feet


15² - 9² = Leg²225 – 81 = Leg²

144 = Leg²Leg = 12

GHSGT Math Review95) Which statement is always

true of two similar triangles?

A. Alternate Interior angles are equal

B. Corresponding angles are proportional

C. Corresponding angles are supplementary

D. Both triangles are right triangles


In similar triangles, corresponding sides are

proportional and corresponding angles

are equal

GHSGT Math Review

96) Evaluate 2b – a when a = 0 and b = -1

A. -2B. -1C. 0D. 1


2(-1) – (0)-2 – 0

-2

GHSGT Math Review97) Writing a formula or an

equation is a process of:

A. Translating numbers into words

B. Translating word sentences into number sentences

C. Translating number sentences into word sentences

D. Translating words into simpler words


GHSGT Math Review

98) Solve for x: 2 - 3x < x + 10

A. x < -2B. x > -2C. x < 2D. x > 2


2 – 3x < x + 10-3x – x < 10 + -2

-4x < 8x > 8 ÷ -4

x > -2

GHSGT Math Review99) Which is an example of

the distributive property?

A. 2 + 11 = 11 + 2B. 7(4 + 3) = (7 x 4) + (7 x 3)C. (5 x 3) x 4 = 5 x (3 x 4)D. 9 + (1 + 5) = (9 + 1) + 5


GHSGT Math Review100) Which of the following

shows the Associative Property of Multiplication?

A. 4 x 1 = 4B. 4 x (2 x 1) = (4 x 2) x 1C. 4 x 2 = 2 x 4D. 4 x ¼ = 1


ghsgt math review

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