PCHS CBI KB Math

Heather is buying a T-Shirt for $8. Sales tax is 8 1/4 cents per dollar. How much will Heather pay in sales tax on her purchase?

$0.66 (66 cents)

Mike received a 10% raise each month for 3 consecutive months. What was his salary after the three raises if his starting salary was $1000 per month?

$1,331.00

Mrs. Hernandez was offered an 18% discount when she purchased a $1700 dining room set. What was the amount she had to pay?

$1,394

The sales tax rate in a small town is 8% of which the town keeps all the proceeds. The town is saving for a new traffic meter which costs $124. How much must the town sell to earn enough money to purchase the new traffic meter?

$1,550.00

A college student purchased a car priced at $9999. She paid $1,000 down and agreed to a monthly payment of $200 per month for 48 months. Including the down payment, what is the total amount of money the student will have paid for her car by the end of the 48 months?

$10,600

James bought two (2) t-shirts for $17.99 each, including tax. How much change should he get from a $50.00 bill?

$14.02

Sam makes a 6% commission on sales of $2450. How much is his commission?

$147

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

$16 million

A family spends 20% of its monthly income on food, 23% on rent, and 42% on other expenses and saves the balance. If the family saves $360 per month, what is its monthly income?

$2,400.00

Louis and his family are going to the zoo. The price of a bus ticket is $1.00, but the family has some coupons. If Louis pays full price, his wife pays 2/3 of the regular price, and the two children pay 1/2 of the regular price. How much will it cost for the family to take the bus?

$2.66

Sally makes $7.50 per hour and worked 37 hours that week. How much did she earn before taxes?

$277.50

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, how much would the gas cost for this car to travel 2,727 typical miles?

$408.04

How much is 15 gallons of gas if gas is $2.78 per gallon?

$41.70

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player?

$56.00

How much is the discount of a $300 racing bike marked 25% off?

$75

Jennifer bought a brand new sports car. The price of the car was $14,900 including sport wheels, an AM/FM CD stereo, and automatic transmission. The dealer gave her a $1,250 instant rebate on the price and 0% interest for 60 months. Jennifer made a down payment of $750. What would be the expression for Jennifer`s monthly payments if she takes 60 months to pay the remaining balance?

(14900 - (750 + 1250)) / 60

What is the slope of any line parallel to the line 9x + 4y = 7?

-2.25

IF X=3 and Y= -4, what is the value of XY-2Y?

-4

Maria is making a quilt. She has a large piece of fabric that is 0.02 millimeters thick. The fabric is cut in half and one piece is placed on the top of the other to make a pile. The pile is cut in half, and then the one half is placed on top of the other to make a higher pile. Continuing this process, what would be the thickness of the pile after the 4th cut and piling?

0.32 millimeters

Add: 11/16 + 5/8

1 5/16

Which of the following weights is the greatest? 1 1/4 tons, 1.4 tons, 1 ton 400 pounds, or 1,400 pounds?

1.4 tons

At three different stores, ties are 40% off, 1/2 off, and 1/3 off. Put the discounts in order, from smallest to biggest.

1/3, 40%, 1/2

In a three game series, the Red Cats play the Indigo Lions. What is the probability that the Red Cats will win all three games?

1/8 (each game odds are ½ per game x 3 occurrences)

Consider the following scores: 12, 56, 62, 66, 74, 83 If the outlier, 12, is removed from the set, what is the approximate increase in the mean of the remaining scores?

10

A garden statue casts a shadow that is 4ft. long at the same time a neighboring tree's shadow is 2 ft. long. If the tree is 5ft. tall, how tall is the statue?

10 feet

The pilot of a small aircraft was given permission to land, and she lowered her wheels at an altitude of 1500 feet. Two and a half minutes later, the aircraft landed. What was the planes rate of descent in feet per second, from the time the wheels were lowered to the time it landed?

10 ft/s (feet per second)

Alanis is moving and needs to pack two mirrors. The larger mirror fits in a box that is 18 inches wide by 20 inches long. The smaller mirror is similar in proportion to the larger mirror. She determines that the width of the smaller box needs to be a minimum of 9 inches. What should be the minimum length of the smaller box?

10 inches

Subtract: 18 - 6 6/11

11 5/11 or eleven and five elevenths

Solve: 4 lbs. 14 oz. + 6 lbs. 13 oz.

11 lbs. 11 oz.

John was building a new fence and he wants it to stand 8 1/2 feet above ground level. To make sure it is secure he must place it 2 3/4 feet into the ground. How long of a post should John buy?

11 ¼ feet

Convert: 9 3/4 feet to inches

117 inches

Solve: 4.3 X 2.86 (four and three tenths times two and eighty-six hundredths)

12.298 (twelve and two hundred ninety-eight thousandths)

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

12.6 lbs.

A builder has a wooden board measuring 189" long. She needs to cut this board into 15 separate boards of equal length. What should the length of each board be?

12.6"

The sun rose at 5:53 AM one morning and set at 7:09 PM that evening. How many hours and minutes were there between sunrise and sunset on that day?

13 hours and 16 minutes

Solve: 6 3/5 + 7 11/15

14 1/3

How many feet are in 168 inches?

14 feet

A telephone manufacturing company has determined that the cost of production for a certain model can be found by using the equation y = 42x + 2,000, where y is the production cost and x is the number of phones produced. It is calculated that an average daily production cost is $8,426. Approximately how many phones does the company produce daily?

153

What is 0.64(sixty-four hundredths) expressed as a fraction?

16/25

Solve: (16+5)/3 + 10

17

Ms. Kelly began her math class by saying: I`m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?

18

Wendy borrowed $1,200 for one year and paid $216 in interest. What was her yearly rate of interest?

18%

Solve: 12 feet 4 inches - 9 feet 8 inches

2 feet 8 inches

What is the scientific notation for the following number: 282,000 (two hundred eighty-two thousand)?

2.82 X 10 to the fifth power

Alfredo has forgotten the 3-digit code to the lock on his suitcase. He remembered that the first digit is 5 and the last digit is either a 2 or 4. The middle digit could be any number from 0 to 9 inclusive. What is the greatest number of 3-digit codes he might have to try in order to be sure to open his suitcase?

20

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 1/2 inches long and has a lead of 1/8 inch, how many complete turns would get it all the way into a piece of wood?

20 times

Three-fifths of the city`s population is registered to vote. In the last election, 75% of the registered voters cast a ballot. What fractional part of the city`s population voted in the last election?

20-Sep

A basketball team has won 50 games of 75 played. The team still has 45 games to play. How many of the remaining games must the team win in order to win 60% of all games played during the season?

22

The prom decorating committee decided to add a string of lights to its welcome sign. The sign is a rectangle that measures 7.5 feet wide by 4.5 feet high. What is the minimum length of the string, to the nearest foot, of lights needed?

24 feet

A right triangle has a hypotenuse of 30 inches and a first leg of 18 inches. What is the length of the second leg?

24"

In 1776, Betsy Ross created a flag for George Washington that showed 13 stars arranged evenly around a circle. What is the approximate central angle needed for correct placement of the stars?

27.7 degrees

How many feet are in 5.5 miles?

29,040 (twenty-nine thousand forty)

139 1/2 inches is equal to how many yards?

3 7/8 yards

The diameter of one bicycle wheel is 28 inches and its spokes run from the hub (or center) to the edge of the rim. The diameter of another bicycle wheel 21 inches. What is the difference in inches between the length of the spokes of the two wheels

3.5 inches

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

30 degrees

Solve: 20 ½ divided by 2/3

30 ¾

What is the probability of pulling an ace out of a standard deck of playing cards?

4 aces over 52 cards = 1/13

Write the number that represents four and nine tenths.

4.9

What is the value of 64/80?

4/5 OR .8 (eight tenths)

What is the greatest common factor of 42, 126, and 210?

42

Julie does not want to spend more than $300 on ice skating. Her skates will cost $42, her lessons will cost a total of $56, and the practice time will cost $7.50 per hour. What inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $300?"

42+56+7.50h = 300

Find 78% of 58

45.24

A circular pool has a diameter of 12 feet. About how much water is needed to fill the pool to a depth of 4 feet?

450 cubic feet

Change the following mixed number to an improper fraction: 4.67

467/100 (four hundred sixty-seven hundredths)

A sub sandwich restaurant offers four types of sub sandwiches, three different types of potato chips, five types of bread, and six different beverages. How many different combinations can you order?

4x3x5x6=360 different combinations

What is the slope of the following line that passes through the ordered pairs (-4,-3) and (1,3)?

5-Jun

Sara has some oranges. She sold 40% more than she ate. If she sold 70 oranges, how many did she eat?

50

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

54 lbs.

How many 3-person committees can be formed in a club with 8 members?

56

The angle of the roof on Kayla`s dollhouse is 56 degrees. She built a scale model of the dollhouse with a scale ratio of 1:4. What is the measure of the angle of the roof on the model?

56 degrees

Change: 11 2/5 to an improper fraction

57/5

Change: 46/7 to a mixed number

6 4/7

What is the probability of rolling a 5 on a number cube?

6-Jan

A random sample of 750 light bulbs shows 25 to be cracked. Out of 18,000 light bulbs in stock, predict how many are cracked.

600

What is the median of: 62, 65, 70, 64, and 58?

64

Solve: four sevenths to the third power

64/343

How many 4-inch by 8-inch bricks are needed to build a walk 6 feet wide and 24 feet long?

648 bricks

228 people have registered for a sightseeing tour of the Grand Canyon. If a tour director can take 35 people on each tour, how many tour directors will be needed to accommodate everyone?

7 (6.51 rounded)

Solve: 5 days 5 hours + 1 day 20 hours

7 days and 1 hour

Solve: 12 hours 14 minutes 6 seconds minus 3 hours 28 minutes 19 seconds

8 hours, 45 minutes,47 seconds

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72,108} will be divisible by both 2 and 3?

8-Mar

The metric system is based on what 3 units of measurement?

meter, gram, liter

If a number, n, is decreased by 44 the result is -15. What is the number?

n = 29

What quadrant would the ordered pair (5,-7) be in?

quadrant 4

Solve the following proportion: 2/9 = 6/X

x = 27

A system of equations follows: 3x + 2y = 19 and 2x - y = 1. What is the solution to the system of equations?

x= 3, y= 5

How many irrational numbers are there between 1 and 6?

Infinite number

Katie opened a savings account with $60. Each week during the summer, she earned $95 as a part-time lifeguard. She deposited 10% of these earnings into her account. Write an equation that represents the amount of money, M, Katie will have deposited in her account after, W, weeks.

M = 9.5W + 60

Simplify the following: (1/3) to the 3rd power times (1/3) to the 4th power

One-third to the seventh power

What is the formula you would use to find the area of a circle?

Area = Pi times radius squared

When the sum of two angles totals 90 degrees, what type of angles are they?

Complementary angles

A student shines a light through a cutout of a triangle held parallel to a wall several feet straight in front of him, producing a similar image on the wall, what must the two triangles have in common?"

Congruent corresponding angles

In what geometric shape will you find the sum of the squares of the sides equals the sum of the squares of the diagonals?

A parallelogram

An archer raises his bow and shoots a decoy. The path of the falling decoy is perpendicular to the ground. What geometric figure could be best used to solve a problem related to distance from the bow to decoy?

A right triangle

What is the Pythagorean Theorem?

A squared + B squared = C squared

In mathematics, what is any real number called that cannot be expressed as a ratio a/b, where a and b are integers and b is non-zero?

An irrational number

Solve for X IF: 6X + 14 = -34

X = -8

Solve the following proportion: X/42 = 11/14

X = 33

Solve: X + 4/5 = 7 7/10

X = 6 9/10

What is the value of x when 2x + 3 = 3x - 4?

X=7