Percent Proportions
State the following as a decimal: 473%
What is 4.73 ?
Number will get smaller by dividing by 100 or moving the decimal two places to the left.
Since the percentage is MORE than 100%, it will have a whole number as part of the answer.
What finding the area of an object measured in centimeters, state what would the units look like in an answer.
What is centimeters squared ?
Define Mean.
What is when all numbers in the data set are added up and then divided by how many there are?
What is average?
<A and <B are complementary. If <A measures 15 degrees, this is the measure of <B
What is 75 degrees ?
Complementary Angles add up to 90 degrees.
90 - 15 = 75
This represents two angles that add up to 90 degrees.
What is Complementary Angles?
The following items were purchased at a store:
Cereal- $4.00; Ice Cream - $5.75; Milk- $3.25
Determine the amount saved with a 15% discount applied to the cost.
What is $1.95 ?
Total cost: $13.00 (Add up Cereal, Ice Cream, Milk)
Find 15% of $13
x = 15 100x = 195
13 100 Discount = 195/100 = $1.95
Calculate the area of a circle with a radius of 3 cm.
What is 28.26 cm2 ?
Area = (Pi) r2
a = (3.14) (3) (3)
Area = 28.26cm2
Find the range. 1, 1, 2, 4, 5, 6, 6
Range: 5
<B and <D are Supplementary Angles.
If <B measures 75 degrees, the measure of <D is this.
What is 105 degrees?
Supplementary angles add up to 180 degrees.
180-75=105
This describes two angles that add up to 180 degrees.
What is Supplementary?
A family at at Partner's pizza and their bill totalled $78.00 after tax. They plan to tip their server 20% determine what the tip amount would be.
What is $15.60 for tip?
Find Tip x = 20
78 100
100x = (20)78
x = 1560/100
Tip = $15.60
Papa's Pizza Parlor makes a Jump pizza with a diameter of 10 ft. Determine how much dough will be covered with sauce.
What is 78.5 ft2 of dough will have sauce?
A = (pi) r2
A = (3.14) (5) (5)
A = 78.5
REMEMBER RADIUS is HALF the DIAMETER
Diameter = 10ft , so Radius = 10/2 = 5ft
Find the mean of the list of numbers:
2, 6, 4, 1, 1, 2, 3, 5
What is 3?
2+6+4+1+1+2+3+5=24/8=3
Add up the numbers and divide by how many there are.
Three angles make up a straight line. <H is 65 degrees, < I is 70 degrees, this is the measure of <J.
What is 45 degrees?
180 -65-70= 45
Supplementary Angles add up to 180 degrees.
These angles have the same measure and are found across from each other when two lines intersect.
What are Vertical Angles?
Max bought tickets to attend his favorite band. The tickets cost $58.00 with tax, and there was a 12% surcharge for using the Ticketmaster website for purchases. Find the total spent to attend the concert with tax.
What is $64.96?
Cost (58.00) + Tax ($6.96)
x = 12 Find Tax, then add it to the cost
58 100
100x = 12(58)
x = 696/100
Surcharge = $6.96
Sofi wants to glue ribbon around her hat. Determine the amount of ribbon used if the diameter is 12cm.
What is 37.68cm of ribbon will be used on the hat?
C = (Pi) Diameter or C= 2 (pi) Radius
(3.14) (12) 2 (3.14) 6
37.68 cm 37.68cm
Find the mode: 12, 12, 13, 14, 14, 14, 15, 16, 16, 17
What is 14?
Mode is the number that repeats the most in a set of data.
<K and <L are vertical angles. If <L measures 55 degrees, then this is the measure of <K.
What is 55 degrees?
Vertical angles are the same
Both angles should be 55 degrees.
This represents the distance around a circle.
What is the circumference?
A family of tigers were being watched by conservationists and counted 1500 in the field. At a later date, they saw 70% of the amount observed 6 months ago. Determine that amount.
What is 1050 ?
x = 70
1500 100
100x = 70(1500)
X = 105,000/100
70% observed = 1050
A man is riding his bicycle along a path. The wheel of the bicycle has a radius of 5 inches. Find the distance travelled if the wheel rotate 6 times.
What is 188.4 inches?
Circumference = 2 (Pi) Radius
C = 2 (3.14) 5
31.4 (One Rotation)
6 Rotations = 6 (31.4) = 188.4 inches
Find the median, Q1, and Q3:
10, 11, 12, 13, 14, 15, 16
What is Median: 13 ?
What is Q1: 11 ?
What is Q3: 15 ?
Two angles are supplementary.
If <K = x and <J= 2x + 2, x would equal this amount.
Solve for x.
What is 44.5?
2x + 2x + 2 = 180
4x + 2 = 180
-2 -2
4x = 178
4 4
x = 44.5
This represents a straight light that moves from the center of the circle out to the edge.
What is the radius?