Divsion
Petra fills a small carboard box with sand. The dimensions of the box are 3 inches by 4 inches by 2 inches.
What is the volume of the box?
24 cubic feet
What does a plant grow in a math class?
It grows square roots.
Positive numbers, Negative numbers, or Zero
Integers
The grizzly bear population in Yellowstone National in 1970 was about 270. Over the next 35 years, it increased by about 115%. What was the population in 2005?
1.15 x 270 = 310.5
Need whole numbers, since you cannot have part of a bear.
311 + 270 = 581
Petra fills a small carboard box with sand. The dimensions of the box are 3 inches by 4 inches by 2 inches.
Petra decides to cover the box by gluing on wrapping paper. How much wrapping paper does she need to cover all six sides of the box?
3 x 4 x 2 = 24
3 x 2 x 2 = 12
4 x 2 x 2 = 16
24 + 12 + 16 = 52 sq in
An old woman dies on her 24th birthday. How can that be?
She was born on February 29, in a leap year. It occurs once every four years. Consequently, 24 x 4 = 96.
Andrew plays a card game. In the first round, he gets 4 points. In the second round, he loses 4 points. The 4 + (-4) represents his score after the two rounds. How many points does Andrew have after the second round?
0
David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace?
(89-51)/89 = 38//89 = 0.427 = 42.7% or 43%
An oatmeal box is shaped like a cylinder. Use a net to find the surface area (SA) of the oatmeal box to the nearest tenth. The oatmeal box has a 2 inch radius and a height of 9 inches.
AC = 4 x 3.14 x 4 = 50.24
AR = 2 x 3.14 x 9 = 56.52
SA = AC + AR = 50.52 + 56.52 = 106.76
SA = 106.8 sq in
You have a 10-pound bag of duck feathers. Sam has a 10-pound bag filled with gold ingots. Which bag is heavier?
The bag of feathers is as heavy as a bag of gold because both weigh 10 pounds.
A football field is 50 yards in one direction and 50 yards in the other direction. What type(s) of integer is a football field?
Number line or opposite numbers
A discount store marks down all of its holiday merchandise by 20% off the regular selling price. Find the discounted price of decorations that regularly sell $16 and $23.
s = p - d
s = p - 0.2p
s = 0.8p
s = $12.80 and $18.40
What is the volume of a cube with faces equal to 3 cm?
SA = s x s x s = 3 x 3 x 3 = 27 cubic cm
When David was 8, his little brother was half his age. David is 30 now. How old is Alex?
A = 8/4 = 4
D = 30 - 8 = 22
A = 4 + 22 = 26
An orca is swimming at an elevation of -6 m relative to sea level. Several seconds later the orca's elevation increases by 7 m. Write an equation for the orca's new elevation relative to sea level.
x = -6 + 7
The Maxwell family goes out for dinner, and the price of the meal is $60. The sales tax on the meal is 7%, and they also want to leave a 15% tip. What is the total cost of the meal.
0.07 x 60 = 4.20
.15 x 60 = 9.00
60.00 + 4.20 + 9.00 = $73.20
Double Jeopardy
I have a triangle on top of a square. The height of the triangle is 6 mm. The square has one side that is 13 mm. What is the area of my two-dimensional figure?
Area of triangle = (13 x 6)/2 = 39
Area of square = 13 x 13 = 169
A = 169 +78 = 208
How many times can you subtract 5 from 25?
You can subtract it only once. 25 - 5 = 20, and it's no longer 25. If you keep on, you will subtract 5 from 20, then 15, and so on. None of these numbers is 25 anymore.
Cheryl says that when you add two negative numbers, the sum is always negative. Is Cheryl's statement true or false?
True
DOUBLE JEOPARDY
Terry deposits $200 into a bank account that earns 3% simple interest per annum. What is the total amount in the account after 2 years?
0.03 x 200 x 2 = 12
200 + 12 = 212
$212