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GHSGT Math Review

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GHSGT Math Review

The Test is

Tuesday, March 25, 2008

@ 8:30 am

Are you ready?

1) 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. $400

B. $480

C. $720

D. $800

Correct Answer: C

$1200 – (1200 X 0.4)

$1200 – $480 = $720

Or

$1200 x 0.6

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

A. 57,057

B. 570,057

C. 5,700,057

D. 57,000,057

Correct Answer: A

3) Which number is

LEAST?

A. 0.031

B. 0.13

C. 0.31

D. 0.013

Correct Answer: D

Hint: add zeros to end

0.031

0.130

0.310

0.013

4) 8,859 + 235 + 376 = ?

The closest estimate is:

A. 7,000

B. 8,000

C. 9,000

D. 12,000

Correct Answer is: C

8859 + 235 + 376 =

9470

The closest answer is

9000

5) 40,237 - 2,369 = ?

The closest estimate is:

A. 12,000

B. 23,000

C. 37,000

D. 38,000

Correct Answer is: D

40,237 – 2369 =

37,868

The closest answer is

38,000

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

A. addition, then subtraction

B. subtraction, then addition

C. multiplication, then

division

D. division, then

multiplication

Correct Answer is : D

7) 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. 200

B. 300

C. 400

D. 500

Correct Answer is: A

1206 – 978 = 228

The closest answer is

200

8) 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

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

A. $718.50

B. $529

C. $526.90

D. $502.95

Correct Answer is: D

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

$479 + $23.95 = $502.95

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

A. 194

B. 448

C. 520

D. 542

Correct Answer is : B

640 x .70 =

448

11) 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. $344

B. $334

C. $294

D. $284

Correct Answer is: D

$309 - $25 =

$284

12) 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. $165.80

B. $172.43

C. $179.75

D. $189.75

Correct Answer is: B

($97.95 + $43.90 + $23.95)

x 1.04 =

$172.43

13) 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. $6

B. $7

C. $8

D. $9

Correct Answer is: D

$5.75 + $1.75 + $0.99

= $8.49

He will need to take about

$9

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

Meat: ham, turkey, or chicken

Bread: white or rye

Drink: juice, milk, or iced tea

How many possible outcomes are there?

A. 24

B. 18

C. 7

D. 6

Correct Answer is: B

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

3 x 2 x 3 = 18

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

A. 1 / 52

B. 1 / 13

C. 1 / 4

D. 4 / 13

Correct Answer is: C

There are 13 spades in a

deck, so the probability is

13 / 52

Or

1 / 4

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

A. 1 / 18

B. 1 / 10

C. 1 / 6

D. 1 / 2

Correct Answer is: D

P(1) = 3 / 6

or

1 / 2

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

A. 2

B. 4

C. 6

D. 8

Correct Answer is: D

Total outcomes are 2 for

first coin, 2 for second coin,

and 2 for third coin

2 x 2 x 2 = 8

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

A. 90

B. 300

C. 700

D. 1,200

Correct Answer is: C

210 + 320 + 140 + 90 =

760

The closest choice is

700

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

A. food, clothes, and gifts

B. medical, savings, and clothes

C. savings, medical, and food

D. gifts, medical, and food

Correct Answer is: B

15% (medical) +

10% (savings) +

25% (clothes) =

50%

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

A. 142

B. 144

C. 146

D. 148

Correct Answer is: C

140 + 142 + 156 = 438

438 ÷ 3 = 146

21) 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. 94

B. 88

C. 80

D. She cannot achieve an average of 80 on the five quizzes.

Correct Answer is: A

She needs a total of

5 x 80 = 400 points

(5 tests, 80%)

400 – 76 – 85 – 70 – 75 =

94

22) 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. 8

B. 5

C. 3

D. 2

Correct Answer is: A

She has 2 choices of

blouses, 2 choices of

slacks, and 2 choices of

blazers

Total Outfits

2 x 2 x 2 = 8

23) 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 liters

B. 142 liters

C. 136 liters

D. 132 liters

Correct Answer is: C

680 ÷ 5 = 136

24) 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 + ½

B. 3½ - ½

C. 3½ x ½

D. 3½ ÷ ½

Correct Answer is: C

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

A. 1½ cups

B. 2 cups

C. 3 cups

D. Not enough information is given to

determine this.

Correct Answer is: A

Let x = cups of flour

32 / 48 = 1 / x

Cross multiply

x = 1.5 or 1½

26) The temperature of a warm bath could be:

A. 20°C

B. 39°C

C. 60°C

D. 98°C

Correct Answer is: B

Body Temperature is about 37° C

27) Which unit of liquid measure is LARGEST?

A. pint

B. gallon

C. cup

D. quart

Correct Answer is: B

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

28) 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. seconds

B. minutes

C. hours

D. days

Correct Answer is: A

29) 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 miles

B. 245 miles

C. 280 miles

D. 310 miles

Correct Answer is: B

D = rt

D = 3½ x 70

D = 245

30) 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 ounces

B. 138 pounds

C. 137 pounds 12 ounces

D. 137 pounds 8 ounces

Correct Answer is: C

4 ounces = ¼ pound,

So she weighed

140 – 2.25 = 137.75

or

137 pounds 12 ounces

31) 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 seconds

B. 39 minutes 25 seconds

C. 1 hour 21 minutes 25 seconds

D. 1 hour 39 minutes 25 seconds

Correct Answer is: B

Ross’s Time

– Althea’s Time

32) 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. 30

B. 45

C. 90

D. 180

Correct Time is: B

33) Which measurement is equivalent to 76 inches?

A. 2 yards 1 foot

B. 6 feet 6 inches

C. 6 feet 4 inches

D. 2 yards

Correct Answer is: C

6 feet 4 inches =

72 inches + 4 inches =

76 inches

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

A. cone

B. pyramid

C. parallelogram

D. triangle

Correct Answer is: B

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

A. right

B. scalene

C. isosceles

D. equilateral

Correct Answer is: D

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

A. 45°

B. 90°

C. 180°

D. 360°

Correct answer is: C

37) 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°

Correct Answer is: C

360 – 90 = 270

38) What is m PQR?

A. 290

B. 220 .

C. 140

D. 70

Correct Answer is: A

360 – 70 =

290

39) 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 units

B. 100.48 units

C. 50.24 units

D. 37.68 units

Correct Answer is: C

3.14 x 2 x 8 =

50.24

40) What is the area of this circle?

(A = π x radius²)

A. 43.96

B. 153.86

C. 307.72

D. 615.44

Correct Answer is: B

3.14 x 7 x 7 =

153.86

41) What is the area of this triangle? (A =½bh)

A. 135

B. 108

C. 67.5

D. 54

Correct Answer is: D

½ x 9 x 12 =

54

42) Area is:

A. the space inside a two-

dimensional closed figure

B. the distance around the

outside of a two-

dimensional closed figure

C. both A and B

D. neither A nor B

Correct Answer is: A

43) Identify the triangular prism or prisms.

A. I only

B. I and II only

C. I and III only

D. III only

Correct Answer is: A

44) 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 feet

B. 200 cubic feet

C. 250 cubic feet

D. 300 cubic feet

Correct Answer is: B

⅓ x 10 x 10 x 6 =

200

45) 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. 192

C. 128

D. 512

Correct Answer is: D

Volume = 8 x 8 x 8

Volume = 512

46) 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. $2,880

B. $960

C. $320

D. $225

Correct Answer is: C

Area = 4 x 8 = 32

Cost = $10 x 32

Cost = $320

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

A. 14:16

B. 7:8

C. 8:7

D. 14 / 16

Correct Answer is: C

48) 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. $18

B. $12

C. $11

D. $10

Correct Answer is: B

9 x $1.29 = $11.61

The closest answer is

$12

49) 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 meters

B. 84 meters

C. 105 meters

D. 126 meters

Correct Answer is: B

Width = Area ÷ Length

Width = 1323 ÷ 63

Width = 21

Fencing needed = 63 + 21

84

50) Which formula could be used to find the length of the hypotenuse of a triangle?

A. C = 2 x π x r

B. c = √ a²+b²

C. A=lw

D. V=lwh

Correct Answer is: B

Pythagorean Theorem

51) If the measure of angle AOC= 90, which angle is its supplement?

A. angle DOE

B. angle COE

C. angle DOA

D. angle AOD

Correct Answer is: B

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

A. acute

B. right

C. obtuse

D. straight

Correct Answer is: C

53) 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°

Correct Answer is: D

x = smaller angle

4x = larger angle

x + 4x = 180

5x = 180

x = 36

Larger angle = 5x

144

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

A. 33

B. 57

C. 113

D. 123

Correct Answer is: D

mL3 + mL4 + mL5 = 180

mL3 + 23 + 34 = 180

mL3 = 123

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

A. 0.16x=90

B. x = (0.16) (90)

C. 90x = 0.16

D. x = (1.16) (90)

Correct Answer is: A

56) Simplify:

3(x- 5) + 7x

A. 10x- 15

B. 10x- 5

C. 4x + 5

D. 4x -15

Correct Answer is: A

3(x – 5) + 7x

3x – 15 + 7x

10x – 15

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 – 5

D. ¼x = 5 – 2X

Correct Answer is: C

58) Find volume when length = 2.5, width = 4.5, and height = 4.

(V = lwh)

A. 0.045

B. 0.45

C. 4.5

D. 45

Correct Answer is: D

Volume = 2.5 x 4.5 x 4

Volume = 45

59) Solve this proportion:

(x – 2) / 7 = (x + 3) / 14

A. x= -3

B. x = 5

C. x = 7

D. x = 10

Correct Answer is: C

Cross Multiply

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

A. -5/3

B. -3/5

C. 3/5

D. 5/3

Correct Answer is: C

Slope Formula

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

Correct Answer is: A

62) 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)

Correct Answer is: B

63) 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)

Correct Answer is: B

To find x-intercept

let y = 0

To find the y-intercept

let x = 0

64) Solve this system of equations for x and y:

2x + 2y = -1

2x + y = 2

A. (5/2, -3)

B. ( 2, ½ )

C. ( -5/2, 3)

D. (1, -2)

Correct Answer is: A

Hint: Substitute answers in equations to see which works

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

A. positive

B. negative

C. zero

D. undefined

Correct Answer is: A

Tips for the Test

Bring a Scientific Calculator with you

Don’t leave any blank

If you guess, always use the same letter

Write on the test

You don’t get extra points for finishing first

Work backwards

Get another Practice test to look at more problems

More

Practice

Problems

66) The number 30308 is most likely a:

Zip code

Sale price

Telephone number

Social security number

Correct Answer is: A

67) Which decimal is closest to 6¼?

6.41

6.30

6.21

6.20

Correct answer is: C

Change 6¼ to decimal

6.25

Closest to 6.21

68) What is the identity element for addition?

0

1

1/0

1/x

Correct answer is: A

Identity means doesn’t change.

69) Which method would not be appropriate for calculating your income tax?

Calculator

Computer

Mental math

Paper and pencil

Correct answer is: C

The government will not allow mistakes on your income tax!

70) 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?

$8.75

$35

$43.75

$535

Correct answer is: A

Interest = Principle x Rate x Time

Interest = 500 x .07 x 3/12

Interest = $8.75

In which situation would an approximate number be expected?

Number of students in Mr. Hensley’s math class

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

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

Number of donuts in a box of two dozen

Correct answer is: B

You don’t have to be exact

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

Bar graph

Circle graph

Line graph

Pictograph

Correct answer is: B

Bar Graph is used for comparisons

Line graphs look at something over a period of time

Pictographs is another form of a bar graph

A box of candy weighs 50 ounces. About how many pounds does it weigh?

Between 0.5 and 1

Between 1.5 and 2

Between 2 and 3

Between 3 and 4

Correct answer is: D

50 ÷ 16 = 3.125

This is between 3 and 4

Which is a reasonable estimate of the width of a building?

55 millimeters

55 centimeters

55 meters

55 kilometers

Correct answer is: C

Centimeter is about an inch

Meter is about a yard

Kilometer is about a mile

A bus travels 70 miles per hour. How long will it take to travel the 100 miles between Atlanta and Macon?

About 1 hour

About 1.5 hours

About 2 hours

About 2.5 hours

Correct answer is: B

D=rt

100 ÷ 70 = 1.43

The closest answer is 1.5 hours

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?

Surface area

Lateral area

Perimeter

volume

Correct answer is: D

Volume tells how much room is inside

The circumference of a circle is 36. What is its approximate radius?

(Use C = 2πr)

6

9

12

18

Correct answer is: A

C = 2πr

Radius = C ÷ 2π

Radius = 36 ÷ 2π

Radius = 5.7

The closest answer is 6

If two polygons are congruent, they:

Are perpendicular

Are circumscribed by a circle

Have the same size and shape

Have been transformed by a rotation

Correct answer is: C

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

90 and 100

60 and 90

48 and 90

42 and 90

Correct answer is: C

Right angle is 90, so the third angle measures 180 – 90 – 42 =

48

Simplify 3(2x – 5) + 7x

13x + 5

13x – 15

12x – 5

12x + 15

Correct answer is: B

3(2x – 5) + 7x

6x – 15 + 7x

13x – 15

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?

(5 + 6)1 + 4(2)

6(1) + 4(5) + 2

5 + 6(1) + 4(2)

2 + 6(1) + 5(4)

Correct answer is: C

If the cost of 3 pencils is $0.49, which proportion could be used to find the value of 10 pencils?

3 / 10 = .49 / x

3 / 10 = x / 49

3 / x = 49 / 10

x / 3 = 10 / 49

Correct answer is: A

Which is the solution of this system of equations?

x = 2y + 3

4x – 5y = 9

(5, 1)

(1, -1)

(2, 7)

(-1, 1)

Correct answer is: B

Hint: Substitute in to see which one is the solution to both.

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?

$45.42

$48.59

$51.41

$54.58

Correct answer is: A

$15.99 + $325.99 = $51.98

$51.98 x 1.05 = $54.58

Change is

$100 - $54.58 = $45.42

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

$ 2.22

$ 16.25

$ 17.25

$ 19

Correct answer is: C

$14.80 x 1.15 =

$17.25

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?

1 / 8

20 percent

1 / 4

50 percent

Correct answer is: C

P(white) = 2 / 8

or

1 / 4

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

Centimeter

Meter

Gram

Kilogram

Correct answer is: C

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

Inches

Feet

Square feet

Miles

Correct answer is: B

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

250 milligrams

250 grams

250 kilograms

250 kilometers

Correct answer is: A

Which is closest to the average temperature of the inside of a refrigerator?

75° F

45° F

25° F

15° F

Correct answer is: B

The capacity of a medicine dropper is approximately:

3 kilometers

3 kiloliters

3 liters

3 milliliters

Correct answer is: D

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?

25 °

30 °

72 °

90 °

Correct answer is: D

360° ÷ 4 = 90°

The numbers below are the lengths of sides of triangles. Which is not a right triangle?

3, 4, 5

5, 12, 13

1.2, 0.5, 1.3

1, 2, 2

Correct answer is: D

Use the Pythagorean Theorem

c² = a² + b²

2² = 2² + 1²

4 = 4 + 1

4 ≠ 5

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?

17 feet

12 feet

9 feet

7 feet

Correct answer is: B

15² - 9² = Leg²

225 – 81 = Leg²

144 = Leg²

Leg = 12

Which statement is always true of two similar triangles?

Alternate Interior angles are equal

Corresponding angles are proportional

Corresponding angles are supplementary

Both triangles are right triangles

Correct answer is: B

In similar triangles, corresponding sides are proportional and corresponding angles are equal

Evaluate 2b – a when a = 0 and b = -1

-2

-1

0

1

Correct answer is: A

2(-1) – (0)

-2 – 0

-2

Writing a formula or an equation is a process of:

Translating numbers into words

Translating word sentences into number sentences

Translating number sentences into word sentences

Translating words into simpler words

Correct answer is: B

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

x < -2

x > -2

x < 2

x > 2

Correct answer is: B

2 – 3x < x + 10

-3x – x < 10 + -2

-4x < 8

x > 8 ÷ -4

x > -2

Which is an example of the distributive property?

2 + 11 = 11 + 2

7(4 + 3) = (7 x 4) + (7 x 3)

(5 x 3) x 4 = 5 x (3 x 4)

9 + (1 + 5) = (9 + 1) + 5

Correct answer is: B

Which of the following shows the Associative Property of Multiplication?

4 x 1 = 4

4 x (2 x 1) = (4 x 2) x 1

4 x 2 = 2 x 4

4 x ¼ = 1

Correct answer is: B