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Misc Concepts and Review

Based on the results of our recent assessments, I am creating this page to review old information and learn new concepts.

Mary uses 2/3 of a cup of rice per serving to make dinner. How many cups of rice does she need to make 6 servings?

A. 2 2/3
B. 4
C. 5 1/3
D. 9

Which fraction is equivalent to 5/6 plus 3/4?

A. 15/24
B. 4/5
C. 20/18
D. 19/12

To place an anchor in a concrete floor, you must drill a hole 1/8 inch larger than the anchor?

Anchor diameter (inches)                              Hole diameter (inches)

           3/8                                                             1/2
           1/2                                                             5/8
           5/8
           3/4

How large must the hole be for the anchor below?
A. 1/2 inch
B. 5/16 inch
C. 6/16 inch
D. 3/4 inch
Picture

Some employees work 182 days of the 365 days in the year. About what part of the year do they work?

A. 18%
B. 50%
C. 75%
D. 180%

Many workplaces record work time in decimal form. For example:
1 hour 30 minutes = 1.5 hours

Convert 35 minutes to a decimal number.

A. .28 hours
B. .35 hours
C. .58 hours
D. .65 hours

James Torres works in an electrical equipment factory and does the final assembly on power transfer units. He keeps a log of the number of units he completes each day. He works five days a week. Below is his log for the week of October 2 through October 6.

                                     Production Log
                                 Name: James Torres
                                  Week: 10/2 - 10/6

Date     Number of units assembled
10/2                   12
10/3                   15
10/4                   18
10/5                   17
10/6                   16

A total assembled for 10/3 is what percent higher than the total for 10/2?

Simon wants everyone to know that it is important to vote. SImon figures that he can convince 10 people to vote. He then figures that each one of those can convince 10 others and so on until many people vote?

On day one, Simon convinces 10 people to vote. On day two, each of those ten convinces ten more people to vote. So it goes for five days. How many new people will be convinced to vote on the fifth day?

A. 10
B. 50
C. 10,000
D. 100,000

You bought a motorcycle and paid $187 as a down payment. The money you owe will be paid in 30 monthly payments of $37.88 each.

Find the cost of the motorcycle.

A. $224.88
B. $300.64
C. $1,136.40
D. $1,323.40

A refrigerator contains 2 bottles of apple juice, 6 bottles of orange juice, 3 bottles of tomato juice, and 8 bottles of ice tea. If Jared randomly selects a bottle, what is the probability that he will select a drink other than ice tea?

A. 3/4
B. 11/19
C. 8/19
D. 1/4

Bill's company will hold a raffle at the annual picnic. They plan to sell 100 tickets at $5 each. There are six workers in Bill's department. If they each buy one ticket, what is the chance that a member of their department will win the raffle?

A. 5/100
B. 6/100
C. 30/100
D. 6/500

The circle graph shown below represents the distribution of instruments for 40 members of a community band.

Picture
How many people play either trumpets or clarinet instruments?

A. 6
B. 10
C. 15
D. 20

2/3 x 6
written as 2/3 x 6/1
multiple the numerators
2 x 6 = 12
multiply the denominators
3 x 1 = 3
numerator is 12
denominator is 3
written as 12/3
reduce the fraction by dividing
12 divided by 3 is 4
Therefore the answer is B
5/6 + 3/4 =
find the common denominator
10/12 + 9/12 =19/12

Therefore the answer is D

3/8 + 1/8 = 4/8
Simplify to 1/2


1/2 + 1/8 = get common denominator
4/8 + 1/8 = 5/8


5/8 + 1/8 = 6/8
Simplify to 3/4


3/4 + 1/8 = common denominator
6/8 + 1/8 = 7/8



D






Set up the problem like a fraction
Part/Whole


182 divided by 365

B



Set up the problem like a fraction
Part/Whole



35 divided by 60


C



10/2 is 12 units assembled
10/3 is 15 units assembled

15/12
15 divided by 12 is 1.25
So 15 is 125 % of 12
The question is asking what percent more than 12
25% more than 12










D
Day 1 Simon convinces 10 people.
Day 2 those 10 people convince 10 people each.
10 x 10 = 100

Day 3 those 100 people convince 10 people each.
100 x 10 = 1,000

Day 4 those 1000 people convince 10 people each.
1000 x 10 = 10,000

Day 5 those 10,000 people convinced 10 people each.
10,000 x 10 = 100,000




D



Down payment of 187.00
30 monthly payments of 37.88
multiply the payments by the number of months
30 x 37.88 = 1,136.40
Now add the down payment of 187.00
1,136.40 + 187.00 = 1,323.40


Therefore the answer is D

There are so many bottles of juice in the refrigerator.
They are as follows:
apple juice - 2
orange juice - 6
tomato juice - 3
ice tea - 8
Add the total number of bottles of juice.
2 + 6 + 3 + 8 = 19 total bottles of juice.
This is considered the whole of this problem so you want to put this number in the denominator.
Part/Whole
Part/19
The question asked what was the probability that the drink wasn't an ice tea.
Add the bottles of juice that are not ice tea.
2 + 6 + 3 = 11 bottles of juice that is not ice tea.
This is the number that goes into the numerator of our fraction.
11/19
Therefore the answer is B.

Again, think of Part/Whole
What is the whole of this question?
Part/100
How many workers are in Bill's department?
There are six workers in Bill's department.
This is the number you will put in the numerator.
6/100

Therefore the answer is B.
The information you need from this question is how many people play the different types of instruments.

Flutes - 10% of 40 people
Trumpets - 15% of 40 people
Clarinets - 10% of 40 people
Saxophones - 45% of 40 people
Drums - 20% of 40 people
We want to know how many people played either trumpets or clarinets. 15% played trumpets and 10% played clarinets.
Let's add those two totals 15 + 10 = 25%
25/100 = x/40
Cross multiply: 100 times x = 40 times 25
100x = 1000
Divide both sides by 100
x = 10

Therefore the answer is B.

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