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James > Review and Conquer > Flashcards

Review and Conquer Flashcards

review missed questions on Chapter Test

1
Q

Picture the diamond.

A baseball diamond is square shaped and has 90 feet between each base located at the corners of the square. How far will the catcher at one corner (standing at home plate) throw the ball across the diagonal to the second baseman at the opposite corner?

The line from home to 2nd splits the diamond into 2 triangles.

A

127.28 feet

C^2 = a^2 + b^2

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2
Q

Find the surface area of a cylinder with a radius of 3 inches and a height of 10 inches.

Round to the nearest whole number.

A

245 inches squared

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3
Q

What fraction of a dollar is $0.45

A

9/20

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4
Q

At a certain school, students can improve their GPA by participating either in band or in varsity sports. If they play a varsity sport, their base GPA is multiplied by 1.2. If they are in band, their base GPA is multiplied by 1.1. If they are in both sports and band, their GPA is multiplied by 1.3.

Based on the table, who has the lowest adjusted GPA?

A

Susanna

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5
Q

Ian makes a delicious pan of brownies for his friends. Susan eats 1/10 of the brownies, Margot eats 1/8 of the brownies, Stanley eats 1/5 of the brownies, and Richard eats 1/6 of the brownies. What fraction of the brownies has been eaten?

A

71/120

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6
Q

Andrew goes to Joe’s Groceries and buys 3 bananas, 2 apples, and 1 grapefruit. Andrew pays with a $10 bill. How much does he get back in change?

A

$5.73

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7
Q

What is the formula for finding the diameter of a circle?

A

Diameter = 2 x Radius

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8
Q

Carlos is baking a pie with a circumference of 56 inches. What is the area of the pie he will bake?

Note: Use 3.14 for π rather than the π key on a calculator. Round the final answer to the nearest inch.

Use three formulas: Circumference, Radius, Area of a circle

A

250 inches squared

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9
Q

What is the approximate volume of a cone with a radius of 18 inches and a height of 42 inches?

A

14250 cubic inches

V = (π x r squared x h)/3

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10
Q

Mary goes to Joe’s groceries and buys one of each type of fruit: one banana, one orange, one apple, and one grapefruit. How much does Mary spend?

A

$3.56

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11
Q

What is the surface area of a cube with sides that are 3 inches?

A

54 square inches

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12
Q

Based on the chart below, how many kilometers are in 1/3 of a mile? Round to two decimal places.

A

.54

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13
Q

Name and describe the three types of triangles based on sides.

A

Equilateral Triangle: A triangle is considered to be an equilateral triangle when all three sides have the same length.
Isosceles triangle: When two sides of a triangle are equal or congruent, then it is called an isosceles triangle.
Scalene triangle: When none of the sides of a triangle are equal, it is called a scalene triangle.

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14
Q

What formula for area is commonly used for determining the area of a polygon with equal sides?

A

Triangle
Note:
The area of a triangle is often used to help calculate the area of a polygon with equal sides. This area is then multiplied by the number of sides of the polygon.

The height of the triangle is called the apothem.

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15
Q

Pete, Bob, and Joe order a pizza for $12.80. They all agree that each boy will pay for the fraction of the pizza that he eats. Pete is really hungry, so Pete eats half the pizza all by himself. Bob and Joe eat 1/4 of the pizza apiece. How much does Bob end up paying?

A

$3.20

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16
Q

Volume:

A

130 cubic units

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17
Q

Find the area of the red area if the length of the rectangle is 13 cm, the width of the rectangle is 10 cm, and the radius of the circle is 5 cm.

A

51.5 cm squared

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18
Q

Sam goes to Joe’s Groceries with $2 in his pocket. Which of the following could he afford to buy?

A

2 bananas

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19
Q

What is the surface area of a cylinder that is 7 centimeters high and 4 centimeters in radius?

A

276.46 square centimeters

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20
Q

William is riding on a bike trail that circles a city park. If the circular park has a radius of 110 yards, how long is the trail?

Note: Use 3.14 for π rather than the π key on a calculator.

The measurement around a circle is called ____. Use that formula.

A

690.8 yards

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21
Q

**A rectangular-based pyramid has a base length of 7m and a base width of 4m. The slant height is 9m. What is the surface area of this pyramid?

Remember the 4 steps to get Surface Area of a Pyramid.

A

127 square meters

SA = BA + 1/2 (BP x sl)

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22
Q

Pete, Bob, and Joe order a pizza for $12.80. They agree to split the cost of the pizza evenly. Rounded to the nearest one cent, how much does each boy pay?

A

$4.27

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23
Q

What is the only measurement you need to find surface area and volume of spheres?

A

radius

Surface area of a sphere is 4 x pi x radius squared

Volume of a sphere is 4/3 x pi x radius cubed

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24
Q

What is the area of an ellipse with a major axis = 9 mm and a minor axis = 4 mm?

A

28.27 mm squared

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25
Q

Emily is having 25 guests at her wedding. If each guest will eat 1/8 of a pie, how many pies does Emily need to make sure she has enough pie for all her guests?

A

4

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26
Q

The volume of this square pyramid is 6250 cubic feet. If each side of the base is 25 feet long, what is its height?

A

30 feet

Volume = 1/3 of Base area X height

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27
Q

Marcus eats 1/4 of a cake. Marcus’ four sisters divide up the rest of the cake evenly among the four of them. What fraction of the TOTAL cake does each girl get?

A

3/16

28
Q

Suppose you buy a small container of ice cream that is in the shape of a truncated cone with big radius 3 inches, little radius 1 inch, height 4 inches, and slant height 5 inches. How much ice cream is in the container? In other words, what is the volume of the container?

A

about 54.45 cubic inches

29
Q

What is the surface area of a box with a height of 8 inches, a length of 12 inches, and a width of 6 inches?

A

432 square inches

30
Q

What is the area of a regular polygon with 10 sides that each measure 3 inches?

A

We are not given enough information.

31
Q

If the circumference of a circle is 12 centimeters, what is the radius of the circle?

Find your answer by using two formulas.

A

1.91centimeters

Formula for the circumference of a circle and the formula for radius.

32
Q

We do NOT include the overlapping parts of the figures when finding the surface area of composite figures because:

A

They are not part of the outside area when you make them a composit (i.e. put them together).

33
Q

A rectangular prism needs to have 92 square inches of surface area. The height is 8 inches, and the width is 3 inches. What is the length needed to achieve this?

A rectangular prism has 6 panels (3 pairs are equal)

A

2 inches

Area = side x side (use length, width, height)

34
Q

A sphere has a diameter of 17 inches. What is its approximate volume?

A

2572 cubic inches

Volume of a sphere is 4/3 x pi x radius cubed

Radius is 1/2 of diameter

35
Q

What formula talks about the measurement around something?

Albert is building a rectangular fence around his horse pasture. He has 160 feet of fencing materials and wants the lot to have a length of 50 ft. Using only the fencing materials that he has, how wide will his pasture be?

Draw the rectangle and plug in what you know.

A

30 ft

36
Q

Simplify: 7 * 5 - 2 + 11

A

44

37
Q

What are the undefined points in this numerical expression?

A

18

38
Q

What are the undefined points in this numerical expression?

A

3 and -3

39
Q

Find the GCF of 12 and 25

A

1

40
Q

Write 7,500,000 in scientific notation.

A

7.5 x 10^6

41
Q

Write this expression and simplify it: 3 to the power of -2

A

1/9
Remember that exponents cannot be negative - we must make them positive. By changing the multiplication expression into a division expression, we can eliminate the negative exponent. Therefore, 3 to the power of -2 = 1/(3*3) = 1/9

42
Q

What fraction of a dollar is $0.45

A

9/20

43
Q

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

A

375

44
Q

A pair of new shoes is $56.99, but they are on sale for 60% off. What is the sale price of the shoes?

A

$22.80

45
Q

What is a 20% tip on a bill of $228.19?

A

$45.64

46
Q

If you have a restaurant bill of $47, what would your total payment (for bill and tip) be if service was average, and you wanted to give a 15% tip?

A

$54.05

47
Q

You get the bill for a restaurant tab, and want to split it evenly with your dining companion. The bill was for $58. The State has a 9% tax, and you want to tip 20%, because service was excellent. If you split the final total evenly, what will you pay yourself?

A

$37.41

48
Q

At a local store, Ben sees a pair of shoes he wants that cost $85. He checks online and finds the same pair on sale for $78.20. By what percentage are the online shoes less expensive?

A

8%

49
Q

Choose the best answer to calculate a fixed commission structure.

A

A specific dollar amount applied to each sale.

50
Q

When should the percent of sales method should be used

A

Percent of sales should be used when the product is a want.

51
Q

Jenny ran 6,715 meters in 8.3 minutes. Johnny ran 1,455 meters in 2.1 minutes. Who was faster and by how much?

A

Jenny by 117 meters per minute

52
Q

Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this?

A

35.3 miles per gallon

53
Q

A laptop’s original price is $795. If it’s on sale for 20% off, what is the sale price?

A

$636

54
Q

The listed price of a dress is $59.99. If the tax is 8%, what is the total cost?

A

$64.79

55
Q

A model car is made to a 1:25 scale. A window on the model is .5 cm in width. How many cm wide is the window on the actual car?

A

12.5 cm

56
Q

Your study group contains 4 girls and 8 boys. What percent of the total number of students are boys? Round to the nearest whole number.

A

67%

57
Q

A rectangular prism needs to have 92 square inches of surface area. The height is 8 inches, and the width is 3 inches. What is the length needed to achieve this?

A

2 inches

58
Q

The volume of this square pyramid is 6250 cubic feet. If each side of the base is 25 feet long, what is its height?

A

30 ft

59
Q

Find the GCF of 30 and 45

A

15

60
Q

At a certain company, each employee gets an hourly wage, as shown in the table. For working overtime or on holidays, each employee makes his or her usual hourly wage multiplied by 1.5. On Tuesday, Gary works 8 hours of regular time plus 1 hour of overtime. How much does Gary make on Tuesday?

A

$148.87

61
Q

How do you find probability of a simple event?

A

Take the number of favorable outcomes and divide it by the number of total outcomes.

62
Q

How do you find the probability of a compound event where more than one outcome can happen?

A

Find the probability of each event and then multiply the answers together.

63
Q

What is a Complementary Event?

A

Tow events are complementary if one of them must happen but they cannot both happen at the same time.

64
Q

How do you get the probability of a complementary event.

A

First find the simplest probability of one of the items then subtract that answer from 1. (Remember any number over itself = 1. Eg 6/6 =1 432/432 = 1)

65
Q
A

James (11 decks)

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