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GHSGT Math Review - PowerPoint PPT Presentation

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

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GHSGT Math Review

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GHSGT Math Review

The Test is

Tuesday, March 25, 2008

@ 8:30 am

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

\$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. 57,057

B. 570,057

C. 5,700,057

D. 57,000,057

GHSGT Math Review

3) Which number is

LEAST?

A. 0.031

B. 0.13

C. 0.31

D. 0.013

0.031

0.130

0.310

0.013

GHSGT Math Review

4) 8,859 + 235 + 376 = ?

The closest estimate is:

A. 7,000

B. 8,000

C. 9,000

D. 12,000

8859 + 235 + 376 =

9470

9000

GHSGT Math Review

5) 40,237 - 2,369 = ?

The closest estimate is:

A. 12,000

B. 23,000

C. 37,000

D. 38,000

40,237 – 2369 =

37,868

38,000

GHSGT Math Review

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

C. multiplication, then

division

D. division, then

multiplication

GHSGT Math Review

7) In the election for homecoming queen,

A. 200

B. 300

C. 400

D. 500

1206 – 978 = 228

200

GHSGT Math Review

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.

½ gallon = 2 quarts

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

Since \$0.56 < \$0.62,

GHSGT Math Review

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

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

\$479 + \$23.95 = \$502.95

GHSGT Math Review

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

640 x .70 =

448

GHSGT Math Review

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

\$309 - \$25 =

\$284

GHSGT Math Review

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

(\$97.95 + \$43.90 + \$23.95)

x 1.04 =

\$172.43

GHSGT Math Review

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

\$5.75 + \$1.75 + \$0.99

= \$8.49

He will need to take about

\$9

GHSGT Math Review

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

Meat: ham, turkey, or chicken

Drink: juice, milk, or iced tea

How many possible outcomes are there?

A. 24

B. 18

C. 7

D. 6

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

3 x 2 x 3 = 18

GHSGT Math Review

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

There are 13 spades in a

deck, so the probability is

13 / 52

Or

1 / 4

GHSGT Math Review

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

P(1) = 3 / 6

or

1 / 2

GHSGT Math Review

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

A. 2

B. 4

C. 6

D. 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 Review

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

210 + 320 + 140 + 90 =

760

The closest choice is

700

GHSGT Math Review

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

B. medical, savings, and clothes

C. savings, medical, and food

15% (medical) +

10% (savings) +

25% (clothes) =

50%

GHSGT Math Review

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

A. 142

B. 144

C. 146

D. 148

140 + 142 + 156 = 438

438 ÷ 3 = 146

GHSGT Math Review

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.

She needs a total of

5 x 80 = 400 points

(5 tests, 80%)

400 – 76 – 85 – 70 – 75 =

94

GHSGT Math Review

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

She has 2 choices of

blouses, 2 choices of

slacks, and 2 choices of

blazers

Total Outfits

2 x 2 x 2 = 8

GHSGT Math Review

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

680 ÷ 5 = 136

GHSGT Math Review

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

GHSGT Math Review

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.

Let x = cups of flour

32 / 48 = 1 / x

Cross multiply

x = 1.5 or 1½

GHSGT Math Review

26) The temperature of a warm bath could be:

A. 20°C

B. 39°C

C. 60°C

D. 98°C

Body Temperature is about 37° C

GHSGT Math Review

27) Which unit of liquid measure is LARGEST?

A. pint

B. gallon

C. cup

D. quart

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

GHSGT Math Review

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

GHSGT Math Review

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

D = rt

D = 3½ x 70

D = 245

GHSGT Math Review

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

4 ounces = ¼ pound,

So she weighed

140 – 2.25 = 137.75

or

137 pounds 12 ounces

GHSGT Math Review

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

Ross’s Time

– Althea’s Time

GHSGT Math Review

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

GHSGT Math Review

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

6 feet 4 inches =

72 inches + 4 inches =

76 inches

GHSGT Math Review

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

GHSGT Math Review

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

A. right

B. scalene

C. isosceles

D. equilateral

GHSGT Math Review

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

A. 45°

B. 90°

C. 180°

D. 360°

GHSGT Math Review

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°

360 – 90 = 270

GHSGT Math Review

38) What is m PQR?

A. 290

B. 220 .

C. 140

D. 70

360 – 70 =

290

GHSGT Math Review

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

3.14 x 2 x 8 =

50.24

GHSGT Math Review

40) What is the area of this circle?

A. 43.96

B. 153.86

C. 307.72

D. 615.44

3.14 x 7 x 7 =

153.86

GHSGT Math Review

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

A. 135

B. 108

C. 67.5

D. 54

½ x 9 x 12 =

54

GHSGT Math Review

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

GHSGT Math Review

43) Identify the triangular prism or prisms.

A. I only

B. I and II only

C. I and III only

D. III only

GHSGT Math Review

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

⅓ x 10 x 10 x 6 =

200

GHSGT Math Review

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

Volume = 8 x 8 x 8

Volume = 512

GHSGT Math Review

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

Area = 4 x 8 = 32

Cost = \$10 x 32

Cost = \$320

GHSGT Math Review

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

GHSGT Math Review

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

9 x \$1.29 = \$11.61

\$12

GHSGT Math Review

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

Width = Area ÷ Length

Width = 1323 ÷ 63

Width = 21

Fencing needed = 63 + 21

84

GHSGT Math Review

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

Pythagorean Theorem

GHSGT Math Review

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

GHSGT Math Review

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

A. acute

B. right

C. obtuse

D. straight

GHSGT Math Review

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°

x = smaller angle

4x = larger angle

x + 4x = 180

5x = 180

x = 36

Larger angle = 5x

144

GHSGT Math Review

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

mL3 + mL4 + mL5 = 180

mL3 + 23 + 34 = 180

mL3 = 123

GHSGT Math Review

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)

56) Simplify:

3(x- 5) + 7x

A. 10x- 15

B. 10x- 5

C. 4x + 5

D. 4x -15

3(x – 5) + 7x

3x – 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 – 5

D. ¼x = 5 – 2X

GHSGT Math Review

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

Volume = 2.5 x 4.5 x 4

Volume = 45

GHSGT Math Review

59) Solve this proportion:

(x – 2) / 7 = (x + 3) / 14

A. x= -3

B. x = 5

C. x = 7

D. 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. -5/3

B. -3/5

C. 3/5

D. 5/3

Slope Formula

GHSGT Math Review

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

GHSGT Math Review

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)

GHSGT Math Review

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)

To find x-intercept

let y = 0

To find the y-intercept

let x = 0

GHSGT Math Review

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)

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. positive

B. negative

C. zero

D. undefined

GHSGT Math Review

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

GHSGT Math Review

66) The number 30308 is most likely a:

Zip code

Sale price

Telephone number

Social security number

GHSGT Math Review

67) Which decimal is closest to 6¼?

6.41

6.30

6.21

6.20

Change 6¼ to decimal

6.25

Closest to 6.21

GHSGT Math Review

68) What is the identity element for addition?

0

1

1/0

1/x

Identity means doesn’t change.

GHSGT Math Review

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

Calculator

Computer

Mental math

Paper and pencil

The government will not allow mistakes on your income tax!

GHSGT Math Review

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

Interest = Principle x Rate x Time

Interest = 500 x .07 x 3/12

Interest = \$8.75

GHSGT Math Review

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

You don’t have to be exact

GHSGT Math Review

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

Bar graph

Circle graph

Line graph

Pictograph

Bar Graph is used for comparisons

Line graphs look at something over a period of time

Pictographs is another form of a bar graph

GHSGT Math Review

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

50 ÷ 16 = 3.125

This is between 3 and 4

GHSGT Math Review

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

55 millimeters

55 centimeters

55 meters

55 kilometers

GHSGT Math Review

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

D=rt

100 ÷ 70 = 1.43

The closest answer is 1.5 hours

GHSGT Math Review

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

Volume tells how much room is inside

GHSGT Math Review

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

(Use C = 2πr)

6

9

12

18

C = 2πr

GHSGT Math Review

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

GHSGT Math Review

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

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

48

GHSGT Math Review

Simplify 3(2x – 5) + 7x

13x + 5

13x – 15

12x – 5

12x + 15

3(2x – 5) + 7x

6x – 15 + 7x

13x – 15

GHSGT Math Review

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)

GHSGT Math Review

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

GHSGT Math Review

Which is the solution of this system of equations?

x = 2y + 3

4x – 5y = 9

(5, 1)

(1, -1)

(2, 7)

(-1, 1)

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

GHSGT Math Review

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

\$15.99 + \$325.99 = \$51.98

\$51.98 x 1.05 = \$54.58

Change is

\$100 - \$54.58 = \$45.42

GHSGT Math Review

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

\$14.80 x 1.15 =

\$17.25

GHSGT Math Review

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

P(white) = 2 / 8

or

1 / 4

GHSGT Math Review

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

Centimeter

Meter

Gram

Kilogram

Inches

Feet

Square feet

Miles

GHSGT Math Review

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

250 milligrams

250 grams

250 kilograms

250 kilometers

GHSGT Math Review

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

75° F

45° F

25° F

15° F

GHSGT Math Review

The capacity of a medicine dropper is approximately:

3 kilometers

3 kiloliters

3 liters

3 milliliters

GHSGT Math Review

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 °

360° ÷ 4 = 90°

GHSGT Math Review

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

Use the Pythagorean Theorem

c² = a² + b²

2² = 2² + 1²

4 = 4 + 1

4 ≠ 5

GHSGT Math Review

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

15² - 9² = Leg²

225 – 81 = Leg²

144 = Leg²

Leg = 12

GHSGT Math Review

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

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

GHSGT Math Review

Evaluate 2b – a when a = 0 and b = -1

-2

-1

0

1

2(-1) – (0)

-2 – 0

-2

GHSGT Math Review

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

GHSGT Math Review

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

x < -2

x > -2

x < 2

x > 2

2 – 3x < x + 10

-3x – x < 10 + -2

-4x < 8

x > 8 ÷ -4

x > -2

GHSGT Math Review

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

GHSGT Math Review

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