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Test your basic knowledge |
GRE Math Strategies
Start Test
Study First
Subjects
:
gre
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Any integer is divisible by 5 if
even
midpoint of a line segment joining 2 parts
the last digit is either 0 or 5
22/7 or 3.14
2. 3-4-5
trapezoid
right triangle
it is also divisible by 2 and 3
opposite the greatest side
3. The sum of the interior angles is
w<0 and x>y
180 degrees
negative
even
4. A<x and x<b
a<x<b
chord
equal angles
w<0 and x>y
5. 1. solve the equation or inequality 2. use ONLY the solutions which satisfy the condition required - the set of all x such that x is greater than or equal to 10 R= {x: x=10}
when finding a solution set
domain of a relation
x-y/xy
consistent lines
6. Area= l x w perimeter = (2l)(2w)
right triangle
rectangle
equal
n percent less than x
7. The length of a segment whose endpoints are (x1 -y1) and (x2 -y2)
x>y and w>z
combinations
a side< b side
v(x2-x1)²+ (y2-y1)²
8. x/100
x%
quadratic equations
hemisphere
n percent less than x
9. Area= 1/2bh perimeter= a + b+ c hypotenuse= c²= b²+a²
approx sums
right triangle
rectangular solid
null set
10. Is drawn from the vertices perpendicular to the opposite sides. The lengths of these lines are useful in calculating the area of the trinagle since the area of the triangle is 1/2bh and the height and the _____are the same.
a side< b side
straight angle
x + y
altitude of a triangle
11. The case where the two equations are equivalent (just two different forms of the same mathematical relation). Any point that satisfies either of the equations - automatically satisfies both
equals
x<0 and z=x+y
coinciding lines
range of a relation
12. y years from now
w>0 and x>y
Axioms
v(x2-x1)²+ (y2-y1)²
+y
13. N= number of objects (order matters!!!) k= rate at a time nPk= n!/(n-k)! (remember to cancel common numbers)
the sum of its digits is divisible by 9
right triangle
properties of a rhombus
permutations
14. The point where the line crosses the x-axis - y will always = 0 in this case
a<x<b
null set
x intercept
n= mx/100
15. The percent increase from x to y (y>x)
(y-x/x)100
finding the union of sets
v3/2 or .87
the last three numbers are divisible by 8
16. Square of hypotenuse = c² = a²+b² length of hypotenuse = c= va²+vb²
pythagorean theorem
closed set
permutations
finding the union of sets
17. ?
the square of x
diameter of circle
22/7 or 3.14
area of a triangle
18. Any integer is divisible by 10 - if
x + y
area of a triangle
odd
the last digit is 0
19. ?
equal
x-y/xy
radius of a circle
implies
20. Distributive axiom - commutative axiom of addition and multiplication - associative axioms of addition and multiplication
pythagorean theorem
relation
Axioms
y angle< x angle
21. Sum of an odd and an even number is
odd
determining if a number is prime
x<0 and z=x+y
x-y/xy
22. The angles opposite to sides that are equal in length have
x>y
angle
standard deviation
equal angles
23. If the each element of the domain occurs only once as a FIRST component
x²-y²
average
isosceles
a relation is a function
24. In a triangle - if ?c(interior angle in triangle) and ?d(exterior angle out of triangle) are supplmentary angles - than ?a and ?b are remote interior angles to <d - thus - a +b+c = 180 (triangle) c+d = 180 (supplementary angles)
a relation is a function
angle a and angle b = angle d
quadratic equations
the third side
25. Wx>wy
semicircle
probability
w>0 and x>y
radius
26. M?A = m?D m?B= m?E m?C=m?F and a/d=b/e=c/f
similar triangles
b is the y-intercept
right triangle
central angle
27. Sum of two even numbers is
equilateral triangle
equal angles
even
x - y
28. ?
perpendicular bisectors
is a subset of
then side b > side a
right angle
29. 8-15-17
implies
obtuse angle
the third side
right triangle
30. (amount of decrease/original amount) x 100
central angle
right triangle
the percent of decrease
x²+ 2xy+y²
31. Angles directly across each other are equal
y-x
v(x2-x1)²+ (y2-y1)²
vertical angles
obtuse angle
32. Of
straight angle
times
equal
x percent
33. x +z > y+z
x<0
parallel
equal
x>y
34. Is always a right angle.
x is greater than y
trapezoid
right angle
angle inscribed in semicircle
35. 1-1-1 (60-60-60)
equilateral triangle
no solutions
x+y/xy
w>0 and x>y
36. If b²-4ac > 0 there are
xy-xz
midpoint of a line segment joining 2 parts
right triangle
two solutions
37. Are the lines that bisect and are perpendicular to each of the three sides. The point where they meet is the center of the circumscribed circle.
is a subset of
properties of a square
perpendicular bisectors
a+b+d=c+d
38. Any integer is divisible by 8 if
x-y
the last three numbers are divisible by 8
all acute angles are equal and all obtuse angles are equal
times
39. In a triangle - the greatest angles lies
properties of a rhombus
opposite the greatest side
approx products
quadratic equations
40. If ?B > ?A - then
x>y
then side b > side a
never divide by zero
right triangle
41. (x1+ x2/2) - (y1+y2/2) Each coordinate of the midpoint is equal to the average of the corresponding cordinates of the endpoints
expression of an even number
midpoint of a line segment joining 2 parts
the last digit is 0
isosceles triangle
42. V2
1.4
the last digit is 0
expression of an odd number
properties of a square
43. 1-v3- 2 (90-30-60)
when finding a solution set
±vx
rectangle
right triangle
44. x>0 and y<0 or x<0 and y >0
xy< 0
simultaneous equations
(x/100)m= n
diameter
45. N= combinations taken (order does not matter) r= rate at a time nCr or C(n -r) = (n)!/(r)! (remember to cancel out common numbers)
right triangle
approx square roots
times
combinations
46. The measure of an interior angle is
average
tangent
equal to the sum of the measures of the remote exterior angles
v3/2 or .87
47. If two lines are parallel - the slope of one is
a set
equal to the slope of the other
x + y
if the last digit of the number is 0 -2 -4 -6 -8
48. 180°
properties of a square
3.16
triangle or straight line
n= mx/100
49. 1/an
x+y/xy
approx products
a?n
it is also divisible by 2 and 3
50. Two tangents to a circle from the same point outside of the circle are always
a+b+d=c+d
equal angles
times
equal