Averages / Problem Solving
The average of three numbers was 97, the average of four numbers was 99, and the average of the final five numbers was 102. What was the overall average?
Average = 99.75
What is the surface area of a rectangular box that measures 20 mm by 16 mm by 12 mm?
Surface area = 1504 mm3
Change the following to a decimal and to a fraction:
152%
F = 38/25
D = 1.52
Simplify:
13 - cube root of 216 + 4 x 24 - (4 + sqrt36 - 2) / 2
67
5 1/8 - D = 3 1/2 Solve for D.
D = 13/8 or 1 5/8
Tom was missing a quiz grade. He knew his average was 91 for the last four quizzes, and he knew he had made a 90 on one, an 86 on one and a 92 on one, but he could not remember the first quiz grade. What was his first quiz grade?
96
What is the volume of a right circular cylinder that has a diameter of 2.5 inches and a height of 6.5 inches?
Round your answer to two decimals.
V = 31.91 in3
What decimal part of 420 is 54.6?
D = 0.13
3 1/2 divided by 1 3/4 times 1 3/4 divided by 2 1/4
14/9 or 1 5/9
Evaluate: ab - b2 + bc
If a = 5, b = 3, and c = 6
24
A machine can label 339 jars in 3 hours. If the rate of the machine was doubled, how many jars could be labeled in 11 hours at the new rate?
1243 jars
Find the area of the free-throw zone in our gym. The free-throw line is 16 feet from the basket, and the radius on the curve behind the player is 6 feet.
Round your answer to two decimals.
A = 248.55 feet2
Fifty-two is 2/15 of what number?
390
Evaluate: st + 4t
s = 5/8 t = 5/6
185/48 or 3 41/48
We have a pup tent that has a base on either end of 7 feet with a height of 6 feet. The length of the whole tent is 15 feet.
a) What is the volume of this tent?
b) What is the surface area, including the floor?
V = 315 ft3
Surface Area = 327 ft2
There was an average of 286 runners that signed up each day for a three day marathon. Then 314 runners signed up for the last day of the race. What was the average number of runners that signed up for each day of the race?
293 runners
A triangle of a base of 4 feet and a height of 6 feet is adjacent on the height side to a rectangle that is 24 feet long. The rectangle is joined by a half circle on the other end. Find the area of this shape.
A = 170.14 ft2
Convert:
a. 956 cm to meters
b. 1.25 km to cm
a. 9.56 meters
b. 125,000 cm
a) Write out 3014.95 in scientific notation.
b) Write 4.023 x 10-8 in standard form.
a) 3.01495 x 103
b) 0.00000004023
Change 13000 miles to inches. Write your answer in scientific notation.
8.2368 x 108
For the following data set:
65, 55, 40, 59, 65, 55, 70, 55
Find range, mode, median, and mean.
Range = 30
Mode = 55
Median = 57
Mean = 58
Find both the surface area and the volume of a rectangular box that measures 10 cm by 12 cm x 11 cm.
SA = 724 cm2
V = 1320 cm3
Using prime factorizations, find
a. LCM of 45, 60, and 405.
b. GCF of 45, 60, 405
a. LCM = 1620
b. GCF = 15
Graph the following points on the grid board. Connect the points and find the area of the figure.
(4, 3), (-2, 3), (4, -5)
A = 24 units2
King Henry was running from the French army and was pushing his horse to cover 21.5 miles in 2.5 hours. If he had to slow to half his pace for the next 3 hours, how many miles did he cover in all?
34.4 miles