6th Spiral Review A
What is the greatest common factor of 12 and 16?
4
Which number is less? -27 or -36
-36
Shayla mows 1/6 acre in 1/4 hours. How many acres does Shayla mow per hour?
4/6 or 2/3 acres per hour
Tiffany used her debit card to buy lunch for $9.72 on Wednesday. On Thursday, she deposited $9.72 back into her account. What is the overall increase of decrease in her bank account?
$0
Estimate the square root to the nearest tenth.
1.1
Helen spends 12% of her budget on transportation expenses. Write this percent as a fraction and as a decimal.
Decimal 0.12
Fraction 12/100
An industrial machine is able to make 8 cups in 4 seconds. What is the rate made per second?
The measure of angle A is 4 degrees greater than the measure of angle B. The two angels are complementary. Find the measure of each angle.
Angle A = 47 degrees
Angle B = 43 degrees
A three character code uses the letters, C and P. Either of the letters may be repeated. Find the probability of the code PCP.
1/8
Hugo and Sandy leave a campsite and walk in different directions. After several hours, Hugo walked 5.6 miles east while Sandy walked 3.3 miles north. How far apart are Hugo and Sandy?
6.5 miles
Perry divides up some candy to give equally to his six friends. If c represents the total amount, write an expression to represent how much candy each friends receives.
c/6
A triangular sail has a base length of 2.5 meters. The area of the sail is 3.75 square meters. How tall is the sail?
3 meters
A football team loses 4 yards on one play and 7 yards on another play. Write a sum of negative integers to represent this situation. Find the sum and explain how it is related to the problem.
-4 - 7 = -11
The team lost a total of 11 yards
Find the value of x.
12 degrees
The cost "d" (in dollars) of making "w" watches is represented by
d = 25w + 35
How many watches are made when the cost is $260?
9 watches
Beth wants to paint her rectangular night stand that is 42 inches long and 28 inches wide. A quart of paint covers about 350 square inches. How many quarts of paint will Beth need to cover the entire night stand?
3.36 quarts
Apply the distributive property to produce an equivalent expression for
6(7e + 3).
42e + 18
Members of a polling organization survey 600 of the 6342 registered voters in a town by randomly choosing names from a list of all registered voters. Is their sample likely to be a representative?
Yes, the sample is random
Nina rented a bicycle while she was on vacation. She paid a flat rental fee of $75 plus $9.50 each day. The total cost was $456. Write an equation you can use to find the number of days she rented the bicycle.
9.50d + 75 = 456
The distance "y" in miles traveled by a car is 20 times the number of gallons "x" of gasoline used by the car. Write and graph a function that describes the relationship between x and y.
y = 20x
The grades of a Social Studies quiz are shown below. Make a box plot for the data.
78, 81, 80, 87, 91, 95, 89, 75, 76, 91, 100, 63
MIN - 65
MAX - 100
Median - 85
Q1 - 77
Q3 - 92
Find the mean, median, interquartile range, and mean absolute deviation of the set of numbers. Round to the nearest tenth.
1,1,4,8,9,3,8
Mean = 4.9
Median = 4
IQR = 7
MAD = 3
Every month, $25 is withdrawn from Calvin's savings account to pay for his gym membership. He has enough savings to withdraw no more than $225. For how many months can Calvin pay for his gym membership?
No more than 9 months
Geo usually drinks 36 ounces of water per day. He read that he should drink 64 ounces of water per day. If he starts drinking 64 ounces, what is the percent increase?
78%
The average temperatures for 15 days in June are shown in the table. Find the minimum, first quartile, median, third quartile, and maximum of the data.
MIN = 68
Q1 = 71
Median = 74
Q3 = 75
MAX = 76