Final Exam Review

Final Exam Review

By Joshua Parrish

Percent Equation & Proportion

Using the percent equation and percent proportion to solve word problems

Multiple Select

Which of the following represents the TWO correct percent proportions

• $$\frac{whole}{part\ }=\frac{\%}{100}$$

• $$\frac{part}{whole}=\ \frac{\%}{100}$$

• $$\frac{is}{of}=\frac{\%}{100}$$

• $$\frac{of}{is\ }=\frac{\%}{100}$$

Solving for the part

Multiple Select

Last week I made a batch of cookies. The recipe makes 30 cookies. I ate 25% of them. How many cookies did I eat?

Select the TWO correct ways to set up this equation:

• $$\frac{30}{whole}=\frac{25}{100}$$

• $$30\%\ of\ 25\ =\ part\$$

• $$\frac{part}{30}=\frac{25}{100}$$

• $$25\%\ of\ 30\ =\ part$$

Finding the whole

Multiple Choice

Solve the following percent proportion to find the whole:

$$\frac{72}{w}=\frac{40}{100}$$  

• $$w\ =\ 120$$  

• $$w\ =\ 180$$  

• $$w\ =\ 28.8$$  

• $$w\ =\ 1.8$$  

Finding the percent

Multiple Choice

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assignments have you completed?

• $$50\%$$

• $$20\%$$

• $$45\%$$

• $$62\%$$

Discount, Sales Tax and Tip

Multiple Choice

Sue wants to buy a pair of shoes originally priced at cost 40.00. She had a coupon for 35% off the original price. What is the discount?

• $12

• $14

• $1.40

• $20

Multiple Choice

After a discount of $14.00 how much were the shoes if the original price was $40.00?

• $54

• $26

• $30

• $25

Multiple Choice

The Smyth Family went out to dinner on Saturday night. The total cost of the dinner was $50. They plan to leave a tip for $18%. How much money would the tip be?

• $9.00

• $90.00

• $10.00

• $12.00

Multiple Choice

The Smyth Family went out to dinner on Saturday night. The total cost of the dinner was $50. If the sales tax rate was 6.25% how much did they pay for tax?

• $3.12

• $3.13

• $3.00

• $50.00

Multiple Choice

The Smyth Family went out to dinner on Saturday night. The total cost of the dinner was $50. If they paid $9 for a tip and $3.13 for sales tax what was the total cost for the dinner?

• $59.13

• 62.13

• 37.87

• 40.00

Intro to Probability

Probability

• How likely is an event to occur

If I flip a coin what is the probability it lands on heads?

• P(H) = ?

• Probability (Heads)

How we do this

• # of possibilities that meet the condition

• divided by the # of equally likely possibilities

To find the probability of heads

• # of possibilities that meet the condition. How many sides on a coin are heads?

• What is the TOTAL number of sides on a coin?

Remember

Fraction bars can also represent division

Multiple Choice

What is the probability of landing on heads?

• 1/3

• 1/2

• 2/3

• 3/4

So my probability of landing on heads is

1/2 or 1 out of 2

But there are other ways to write 1/2

Multiple Choice

How do you write 1/2 as a decimal?

• .25

• .12

• .5

• .75

Multiple Choice

How do you write 1/2 as a percent?

• 25%

• .5%

• 100%

• 50%

So the probability of landing on heads is

• 1/2

• .5

• 50%

What is the probability or rolling an even number on a fair-sided dice

• P(even) =

Multiple Choice

How many even numbers are there on a fair sided dice?

• 1

• 2

• 3

• 4

Multiple Choice

How many TOTAL sides are on a fair sided dice?

• 3

• 6

• 2

• 4

Multiple Select

So how will you write your probability as a fraction?

• 3/6

• 6/3

• 4/5

• 1/2

The probability of rolling an even number is...

• 3/6 or simplified 1/2

• .5

• or 50%

Multiple Select

What is the probability of rolling a 1 or 2 on a fair-sided dice?

• 3/6

• 1/6

• 2/6

• 1/3

Multiple Choice

What is 1/3 written as a decimal? Round two decimal places

• 0.3

• 0.33

• 1.3

• 3

Multiple Choice

What is 0.33 written as a percent?

• 33%

• 0.33%

• 30%

• 3%

Multiple Choice

Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.

What is the probability Nerissa will choose a purple bow?

• 1/2

• 2/5

• 1/10

• 3/5

​Compound Events: two or more events. (and)

​

x ____

​

Always Reduce/simplify

​

​

Multiple Choice

What is the probability of rolling a 3 and spinning a red?

• 1/6

• 1/4

• 1/10

• 1/24

Multiple Choice

What is the probability of rolling an even number and spinning green?

• 1/8

• 1/15

• 4/8

• 1/10

Statistics

Biased & Unbiased

• Population - an entire group

• Sample - a part of the population

• Random Sample - members of the population are chosen at random

• Convenience Sample - members of the population that are readily available

• BIASED SAMPLE - does not fairly represent the population.

Lets look at

Biased and Unbiased samples

Multiple Choice

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

• thirty students who are often tardy
• thirty students who are rarely tardy
• thirty of her friends
• thirty randomly selected students from her school

Multiple Choice

At an assembly 7 out of 10 students who entered the gym were carrying a backpack. Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?

• 49

• 490

• 210

• 421

Multiple Choice

To determine the most popular children’s programs, a television station asks parents to call in and complete a phone survey.

• Biased Sample

• Unbiased Sample

Multiple Choice

To evaluate the defect rate of its memory chips, an integrated circuit manufacturer tests every 100th chip off the production line.

• Biased Sample

• Unbiased Sample

Mean, Median, Mode and Range

Fill in the Blanks

3. Sort the set of numbers below, find the median then type in your answer.

54, 23, 26

Fill in the Blanks

4. Sort the set of numbers below, find the median then type in your answer.

79, 92, 5, 73

Multiple Choice

The Mean is the ______________.

• average

• sum

• middle number

Multiple Choice

What is the mean?

13,15,16,17

• 17

• 15.25

Fill in the Blanks

Find the mean of these numbers:
2, 57, 38, 42, 6

Multiple Choice

What is the range for the following set of numbers?

1 , 3, 18, 7, 81, 51, 17

• 22

• 72

• 80

• 91

Multiple Choice

What is the mode for the numbers 7, 6, 5, 8, 7, 5, 9, 3, 5 and 4?

• 5

• 5.5

• 5.9

• 7

Multiple Choice

When a number is added to the set of numbers 7, 8, 9, 12, 6, 10 and 11, the mean becomes 8.

What is the number that was added?

• 1

• 8

• 9

• 63

Multiple Choice

The table below shows the number of times a batsman made 1 run, 2 runs, 4 runs and 6 runs.

What is the modal run or runs made by the batsman?

• 1

• 6

• 12

• 29

Multiple Choice

The table below shows the number of times a batsman made 1 run, 2 runs, 4 runs and 6 runs.

What is the median run or runs made by the batsman?

• 28

• 6

• 2

• 1

Multiple Choice

The table shows the number of times a batsman made 1 run, 2 runs, 4 runs and 6 runs.

What is the range of the runs made by the batsman?

• 33

• 25

• 5

• 7

Box & Whisker Plots

Multiple Choice

What number represents the lower extreme or minimum?

• 13

• 16

• 23

• 25

Fill in the Blanks

What number represents the lower quartile or Q1?

Multiple Choice

What is the median shown on this graph?

• 200

• 250

• 500

• 550

Multiple Choice

What is the upper quartile?

• 20

• 30

• 70

• 95

Fill in the Blanks

What is the maximum value?

Multiple Choice

What is the upper quartile or Q3 shown in this graph?

• 18

• 24

• 21.5

• 23

Angle Relationships

Multiple Select

Match this all correct descriptions.

• acute

• obtuse

• straight

• adjacent

• complementary

Multiple Select

Match this image with all accurate descriptions

• linear pair

• supplementary

• adjacent

• vertical

• complementary

Finding Angle Pairs

• Supplementary Angles

• Complementary Angles

• Vertical Angles

Fill in the Blanks

What is the sum of the complement and the supplement for a 16^o angle?

Triangles

Multiple Choice

Which of these WILL make a triangle?

• 1 in, 2 in, 3 in

• 2 in, 3 in, 5 in

• 3 in, 4 in, 5 in

• 1 in, 2 in, 4 in

Multiple Choice

Which of these side lengths can NOT form a triangle?

• 10 in, 7 in, 6 in

• 2 in, 12 in, 14 in

• 3 in, 7 in, 9 in

• 3 in, 10 in, 8 in

Multiple Choice

Which of these WILL make a triangle?

• 1 in, 2 in, 3 in

• 2 in, 3 in, 5 in

• 3 in, 4 in, 5 in

• 1 in, 2 in, 4 in

Circles

Multiple Choice

If a circle has a radius of 6 cm, what is the circumference? $$C=\ \pi\cdot d$$  

• 9.42 cm

• 18.84 cm

• 37.68 cm

• 113.04 cm

Fill in the Blanks

$V=\ l\cdot w\cdot h$  

A rectangular prism has a length of 5.1 feet, a width of 3.2 feet, and a height of 4.1 feet. What is the volume? Round your answer to the nearest tenth.

Multiple Choice

$$V=\ l\cdot w\cdot h$$  

Find the volume of the composite shape.

• 216 $$units^3$$   

• 288 $$units^3$$  

• 792 $$units^3$$  

• 504 $$units^3$$  

Multiple Choice

$$\left(A=\ l\cdot w\right)\ -\ \left(A=\ \pi\cdot r^2\right)$$  

Find the area of the shaded area of the figure.

• 36 $$ft^2$$  

• 28.26 $$ft^2$$  

• 7.74 $$ft^2$$  

• 64.26 $$ft^2$$  

Fill in the Blanks

What is the degrees of the missing angle in the triangle?

Fill in the Blanks

What is the value of x in the diagram?

Multiple Choice

What is the area of the circle? $$A\ =\ \pi\cdot r^2$$  

• 25.12 $$cm^2$$   

• 200.96 $$cm^2$$  

Multiple Choice

A circle has a circumference of 47.1 feet

What is the circles diameter?

• 10 feet

• 11 feet

• 15 feet

Multiple Choice

Determine if the following angles create a triangle: $$50\degree,\ 60\degree,\ \&\ 70\degree$$  

• Yes

• No

Area of Trapezoids

Multiple Choice

Find the area.

• 61

• 125

• 62.5

• 80

Multiple Choice

Find the area.

• 28

• 30

• 224

• 60