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Front cards |
Back cards |
| 1 |
A radius extending to the tangent line of a circle |
perpendicular |
| 2 |
A triangle formed by connecting the endpoints of t |
isosceles; right |
| 3 |
Approximately what percentage of the normal distri |
34%*2=68% |
| 4 |
a^2+b^2>c^2 if a triangle is... |
acute |
| 5 |
a^2+b^2<c^2 if a triangle is... |
obtuse |
| 6 |
cos(30) |
sqrt(3)/2 |
| 7 |
cos(45) |
sqrt(2)/2 |
| 8 |
cos(60) |
1/2 |
| 9 |
Counting from n to m, what is the total if both en |
m-n+1 |
| 10 |
Counting from n to m, what is the total if neither |
m-n-1 |
| 11 |
Counting from n to m, what is the total if only on |
m-n |
| 12 |
days would the water supply last for 9 people? |
The resulting equation is inversely proportional (not proportional, like a baking recipe). So, set up a proportional equation and then flip one of the sides. It is important to use the same units on each side! 15/9 = 21/x -> 15/9 = x/21 -> x=35. |
| 13 |
Distance |
(rate)(time) d=rt |
| 14 |
For a rectangle of dimensions l*w surrounded by a |
(l+2s)(w+2s) |
| 15 |
For an inequality -y<0<x-y<0<1-y, how |
For this type of problem, since you can |
| 16 |
Formula for distance problems |
distance=rate×time or d=rt |
| 17 |
How can you find the units digit of 2*3^27, or 7^4 |
On these types of problems, the units digit repeats every few powers. Write out them until it repeats, then extrapolate by counting from a multiple of the repeat interval. |
| 18 |
How can you tell if a number is divisible by 12? |
Its digits add to a multiple of 3 and the last two digits are divisible by 4. |
| 19 |
How can you tell if a number is divisible by 3? |
Its digits add to a multiple of 3. |
| 20 |
How can you tell if a number is divisible by 4? |
The last two digits are divisible by 4. |
| 21 |
How can you tell if a number is divisible by 6? |
It is even and its digits add to a multiple of 3. |
| 22 |
How can you tell if a number is divisible by 8? |
The last three digits are divisible by 8. |
| 23 |
How can you tell if a number is divisible by 9? |
Its digits add to a multiple of 9. |
| 24 |
How can you tell where the median of a graph is? |
It divides the area in half. |
| 25 |
How do the 25th percentile and the average of the |
The 15th percentile is greater than the average of the 10th and 40th because the tail points in the negative direction. |
| 26 |
How do the 75th percentile and the average of the |
The 75th percentile is less than the average of the 60th and 90th because the tail points in the positive direction. |
| 27 |
How many integers with all even digits are there b |
2*5*5=50 (disguised permutation question) |
| 28 |
How would you find the number of multiples of x be |
Find M/x rounded down, then subtract the number of multiples between 1 and N. |
| 29 |
If two parallel lines are cut by a transversal, wh |
The acute angles are equal and the obtuse angles are equal. |
| 30 |
In multiples of x, what are the lengths of the leg |
x, x*sqrt(3), 2x |
| 31 |
Or are they equal, or is there not enough informat |
(a+b)^2 is greater. |
| 32 |
Rate |
d/t (distance)/(time) |
| 33 |
sin(30) |
1/2 |
| 34 |
sin(45) |
sqrt(2)/2 |
| 35 |
sin(60) |
sqrt(3)/2 |
| 36 |
tan(30) |
sqrt(3)/3 |
| 37 |
tan(45) |
1 |
| 38 |
tan(60) |
sqrt(3) |
| 39 |
The formula for arc length of a circle is |
(x/360)*2*pi*r |
| 40 |
The formula for sector area of a circle is |
(x/360*pi*r^2 |
| 41 |
The largest angle of a triangle is opposite the __ |
shortest, longest |
| 42 |
The sum of all angles around a point |
360° |
| 43 |
The two triangles formed by a diagonal cutting acr |
congruent |
| 44 |
Time |
(distance)/(rate) d/r |
| 45 |
What are the relationships between the angles form |
The angles on opposite sides of the X intersection are equal (and supplementary on the same side). |
| 46 |
What are the relationships between the sides and a |
1) Opposite sides and opposite angles are equal. |
| 47 |
What does it mean for a graph to be left-skewed or |
The "tail" of low-frequency values points in the negative direction, and toward the hill is positive. The mean is less than the median. |
| 48 |
What does it mean for a graph to be right-skewed o |
The "tail" of low-frequency values points in the positive direction, and toward the hill is negative. The mean is more than the median. |
| 49 |
What is the difference relationship between sides |
The difference of any two sides is less than the third side. |
| 50 |
What is the formula for a mixture of 2 components |
(m+c_A)*f_O=c_O |
| 51 |
What is the formula for compound interest? |
V=P(1+r/n)^(n*t) with r in fraction form |
| 52 |
What is the formula for each exterior angle of a p |
360/n |
| 53 |
What is the formula for each interior angle of a p |
((n-2)*180)/n |
| 54 |
What is the formula for simple interest? |
V=P+r*t |
| 55 |
What is the formula for the area of a parallelogra |
A=b*h, where b is the length of the horizontal sides and h is the length of a vertical line inside the parallelogram extending from a vertex. |
| 56 |
What is the formula for the area of a trapezoid? |
(1/2)*(b1+b2)*h |
| 57 |
What is the formula for the area of an equilateral |
s^2*sqrt(3)/4 |
| 58 |
What is the formula for the length of a diagonal a |
sqrt(l^2+w^2+h^2) |
| 59 |
What is the formula for the number of diagonals of |
n(n-3)/2 |
| 60 |
What is the formula for the number of possible com |
n!/(r!*(n-r)!) |
| 61 |
What is the formula for the radius of the circle t |
(r1+r2)/2 |
| 62 |
What is the length of the first leg of a _-12-13 t |
5 |
| 63 |
What is the length of the second leg of a 3-_-5 tr |
4 |
| 64 |
What is the number of possible permutations for n |
n!/(n-r)! |
| 65 |
What is the sum relationship between sides of a tr |
The sum of any two sides is greater than the third side. |
| 66 |
What is the triangle inequality? |
|a+b|<=|a|+|b| |
| 67 |
Without using a calculator, how do you find the nu |
Factor out 1/10^|m-n|, since x^n*y^n=(x*y)^n. 0.5^n-m or 0.2^m-n may now be calculated on the calculator. Alternatively, for the latter case, now factor out (1/10)^m-n and just calculate 2^m-n. |
| 68 |
You have a set of 10 books consisting of four of t |
Break the problem down into P1, P2, and P3. |
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