Angles and Shapes
How many sides does a rectangular prism have?
12 sides
WHY? 3D rectangle
Simplify 5/20
1/4
WHY? Divide numerator and denominator by the GCF:5
What is 0.5 as a percent?
50%
WHY? Multiply a decimal by 100 to get the decimal!
What is a digit?
Any singular number!
How many degrees are in a circle?
360*
If you have 7 1/4's of a dollar or 7/4 of a dollar, how much money do you have?
1.75$
WHY? 4/4 is 1 whole dollar and the leftover 3/4 is 75 cents. Add them up!
True or False: 175% is written as 17.5 in decimal form?
False!
Divide a percent by 100 to get the decimal form which is 1.75!
Is it possible to have 57.3 cars in my car dealership?
No!
How do you have .3 of a car?
True or False: a cylinder has 3 surfaces/faces?
True!
WHY? The two circular bases, and the one rectanglar middle which is curved/wrapped.
True or False: any number divided by 0 is equal to 0?
False.
WHY? How do you divide a number into zero groups? You can't!
What is one half of 40%?
20%
WHY? 40%=40/100, then divided by 2, you get 40/200 which simplifies to 2/10 or 20%
What is the formula for finding the scale factor?
New side/ Old side = SF
WHY? you want to find how many times greater the new side is. You do this by finding the number they multiplied by to make it grow or shrink!
If the clock's hour hand is at 3, and the minute hand is at 12, what is the degree between them?
90*
WHY? A circle is 360*, if it is split into 4 even parts, each section is 90*
What is a unit fraction?
Any fraction with the number 1 as the numerator divided by any whole number: 1/N
Can a jar be filled to 120%?
No!
WHY? 100% means it is already full and the extra 20% would overflow it!
What is pi to the 7th digit?
3.141592
WHY? not 7th decimal place silly, 7th digit!
If the hour hand on a clock travels from the 12 all the way to the 9 in a clockwise motion, how many degrees did it move?
270*
WHY? A circle is 360*, each 1/4 is 90* and the 9 is 3/4 so 90* 3 = 270*
Tommy had a pizza with 6 slices, if he ate one-third, how much of the pizza is left?
4
WHY? 1/3 of 6 is 2, which is what he ate, so he has 6-2=4 leftover slices
If the contruction of a bridge is 3/4 of the way done, what percent of construction is done?
75%
WHY? 3/4 is equal to 0.75 which can be converted into a percent by multiplying by 100!
How fast does the average bacteria double?
HINT: It is no more than 60 minutes
20 minutes is the average doubling time! What does this mean? Every 20 minutes the population size multiplies by 2!