Geometry
Statistics and Probability
Numbers
Algebra
Ratio and Proportion
100
An equilateral triangle has a side length of 7. What are the other 2 side lengths?
7 and 7.
An equilateral triangle has three sides of the same length.
100
Josandra the poet has chosen 12 large words and written each on a piece of paper that she then placed in a bag. 6 of the words begin with a P, 3 begin with an S, 2 begin with a W, and 1 begins with a T. What is the probability she will draw a word that begins with a W?
1/6 or about 17%.


There are 12 words, and 2 begin with W. 2/12 is 1/6.
100
Geographers use negative to represent points below sea level and positives for above sea level. For example, the lowest point in New Orleans is -2 meters and the highest point is 6 meters. What does 0 meters represent?
Sea Level!
100
3x+1=10 Solve for x
x=3


3*3+1=10
100
There are twice as many goats as chickens on a farm. What is the ratio of chickens to goats?
1:2


There is 1 chicken for every 2 goats.
200
What is the area of a triangle whose base is 4 inches and height is 16 inches?
32 inches squared.
The formula for area of a triangle is (base*height)/2. (4*16)/2=32
200
Princess Kate is trying on wedding dresses. Each dress is too big, or too small. Princess Kate estimates that 40% of the dresses will be too small, and 25% of the dresses will be too big. If she were to try on 500 dresses, how many should fit well?
175


40+25= 65 65% of the dresses do not fit, so 35% will. .35*500=175
200
Put the following values in order from least to greatest: -3/4, -1, 19/6, 3, 1/2
-1, -3/4, 1/2, 3, 19/6
200
500=10x+10 Solve for x.
x=49


after subtracting 10, the equation is 490=10x Divide by 10 to get 49=x
200
If a snail moves 1/2 inch every 15 seconds, how many inches does it move in two minutes?
4 inches.


Since there are 60 seconds in a minute, it moves 2 inches per minute.
300
What are the interior angle measures of a right isosceles triangle?
45, 45, and 90 degrees.


Isosceles triangles have two angle measures the same, and all right triangles have one 90 degree angle. Since all triangles must have 180 degrees total, the other two sides have to be 45 degrees.
300
Find the median of this data set. 36, 30, 30, 32, 39, 35
33.5


Put the data in order first: 30, 30, 32, 35, 36, 39 The middle is between 32 and 35. 33.5 is halfway between 32 and 35
300
What is 13 squared?
169

13*13=169
300
A little boy is 4 ft. tall and grows 2 inches every year. His grandfather is 6 ft. tall and shrinks 1 inch every year. How tall will they be when they are the same height?
5'4"


After 8 years, they will both be 5'4". You could have made a table, or solved the equation 2x+48=-x+72 to find the number of years until they are the same height. Remember to convert the feet into inches!
300
Each person who comes to a restaurant pays a flat rate of $8 for their food. How many people do you need to serve to make $500?
63 people.


500/8 is 62.5, and you can't have half a person! We round up because we need to make it to $500.
400
You have a cube with a side length of 6 cm. What is the volume?
216 cm cubed.


Why? Cubes have all side lengths the same, and you calculate volume of a rectangular prism my multiplying the side lengths. So, you need to calculate 6*6*6, which equals 216.
400
Phil randomly selects times to walk into a local restaurant and observe the music being played. He found that they were playing country 11 times, rock and roll 17 times, and blues 8 times. Half the time they weren't playing music at all. What's the probability that the restaurant will play rock and roll next time he goes in?
17/72, or about 24%


11+17+8=36 Half the time there was no music, so 36*2=72.
400
Evaluate x-(-y) when x=-200 and y=173
-27


-200-(-173) can be rewritten as -200+173, which is -27
400
if x*x*x+1=65, what is x?
4


4*4*4=64
400
The bill is $57 and you want to pay 15% extra for the tip. How much do you pay total?
$65.55


57*.15=8.55 8.55+57=65.55
500
A circle with a radius of 5 feet is "inscribed" in a square (the circle fits perfectly with no extra room). How much of the square is not covered by the circle?
21.5 feet squared.


Why? You need to subtract the area of the circle from the area of the square to find the area of the corners. The area of the circle is 3.14*5^2, or, 25*3.14, or about 78.5. The side length of the square is 10 feet, so the area of the square is 100. 100-78.5=21.5
500
A set of 5 values has a mean of 7. Four of the values are: 6, 10, 9, and 9. What is the fifth value?
1


6+10+9+9+1=35 35/5=7
500
Find the square root of (2 cubed + 34/2)
5


2 cubed is 8, and 34/2 is 17. 8+17 is 25, and the square root of 25 is 5.
500
Ms. Russell is given a free pair of Nike shoes on Monday. On Tuesday, she gets 2 more pairs. On Wednesday, she gets 4 more pairs. Every day the number of shoes she is given doubles. On which day of the week will she have enough shoes total for the whole track team (120 kids)?
Sunday.


She is given twice and many each day, but she still keeps all the shoes from the previous days. As a sequence, her total shoes would be: 1, 3, 7, 15, 31, 63, 127. She has 127 shoes on the 7th day, which is enough for the whole track team, and is 7 days from when she started.
500
A diabetic person can only drink 32 mg of sugar a day. Their 12 oz drink has 42 mg of sugar. About how many oz of it can they drink?
about 9 oz.


There are 3.5 mg of sugar per oz (42/12=3.5). 32/3.5 is a little more than 9 (9.142857...).
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