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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. The angles opposite to sides that are equal in length have
similar triangles
x²+ 2xy+y²
1
equal angles
2. V2
inconsistent lines
v(x2-x1)²+ (y2-y1)²
right triangle
1.4
3. The distance between two parallel lines or from a point to a line always means
negative
y angle< x angle
the perpendicular distance
pythagorean theorem
4. Intersect at only one point - the point is the only solution to the pair of equations
consistent lines
1
probability
right triangle
5. Is always a right angle.
a set
parallel
x-y
angle inscribed in semicircle
6. All sides are equal and all of whose angles are equal. 1. can be inscribed in a circle and can be circumscribed about another circle. 2. each angle is equal to the sum of the angles divided by the number of sides 180(n-2)°/n.
radius
a
regular polygon properties
area of a triangle
7. 2k + 1
hexagon
if the last digit of the number is 0 -2 -4 -6 -8
expression of an odd number
standard deviation
8. (x1+ x2/2) - (y1+y2/2) Each coordinate of the midpoint is equal to the average of the corresponding cordinates of the endpoints
the last three numbers are divisible by 8
x<0 and z=x+y
midpoint of a line segment joining 2 parts
y-x
9. ?
x²-y²
cube
perpendicular
±vx
10. M=number of favorable ways n= total number of ways (two events occurring is the prob of the first times the prob of the second)
equal angles
equals
probability
radius of a circle
11. The sume of x and y
x + y
inscribed angle
c x (john'S age)
22/7 or 3.14
12. If two lines are perpendicular - the slope of one is the
negative reciprocal of the other
v(x2-x1)²+ (y2-y1)²
right triangle
(x-y/x)100
13. B>c+ d>e
all acute angles are equal and all obtuse angles are equal
permutations
b+d>c+e
find the intersection of two sets
14. Every set is a subset of
pythagorean theorem
itself
cube
sphere
15. x + (n/100)x
right triangle
n percent greater than x
the square of x
1.4
16. x less than y
even
y-x
belongs to
coinciding lines
17. x+w> y+z
c x (john'S age)
1
x>y and w>z
right triangle
18. 90°
it is also divisible by 2 and 3
right angle
no solutions
properties of a rectangle
19. ? if a side < b side - then
semicircle
a
x is greater than y
y angle< x angle
20. ?
diameter
never divide by zero
right triangle
and
21. Diagonals are perpendicular to each other and bisect the vertex angles 1.each pair of opposite sides are equal 2. the diagonals bisect eachother 3. the opposite angles are equal 4. one diagonal divides it into two congruent triangles and two diagonal
properties of a rhombus
n= mx/100
always positive or zero
set
22. 9-40-41
right triangle
even
acute angle
any variable
23. When the elements of a set are ordered pairs
relation
y-x
x²-y²
x-y
24. Any integer is divisible by 5 if
permutations
a?n
the last digit is either 0 or 5
xy + xz
25. Is a rectangular rhombus 1. all four sides are equal 2. opposite pairs of sides are parallel 3. diagonals are equal - are perpendicular to each other - and bisect each other. 4. all the angles are right triangles 5. diagonals intersect the vertices a
one solution
x - y
isosceles triangle
properties of a square
26. Square of hypotenuse = c² = a²+b² length of hypotenuse = c= va²+vb²
pythagorean theorem
a
two solutions
3.16
27. 3(4+1)= 3 x 4 + 3 x 1
distributive axiom
circle
1.7
medians of a triangle
28. 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.
the last digit is either 0 or 5
cylinder
y angle< x angle
altitude of a triangle
29. V10
3.16
semicircle
radius
the sum of parts
30. If under the operation - any two members of the set constitute an element of the set ( * the product of the elements multiplied by themselves must also be an element of the set*)
distributive axiom
closed set
xy-xz
the last digit is either 0 or 5
31. Distributive axiom - commutative axiom of addition and multiplication - associative axioms of addition and multiplication
negative
0 - 2 - 4 - 6 - 8
Axioms
b is the y-intercept
32. If the each element of the domain occurs only once as a FIRST component
a set
right angle
a relation is a function
two solutions
33. Integer is divisible by 2
equal to the slope of the other
null set
if the last digit of the number is 0 -2 -4 -6 -8
y-x
34. B²-4ac = 0 there is
x>y and w>z
x + y
w>0 and x>y
one solution
35. ?
equal to the sum of the measures of the remote exterior angles
the square of x
solution set
22/7 or 3.14
36. A collection of anything - numbers - letters - objects - etc. written within brackets { } two are equal if they contain the same elements.(order does not matter)
set
the percent of decrease
cube
altitude of a triangle
37. Volume= bh or ?r²h surface area= 2?rh (w/o bases) or 2?r(h+r) with bases
x>y and y>z
cylinder
approx products
a relation is a function
38. Two tangents to a circle from the same point outside of the circle are always
equal
v2/2 or .71
is a subset of
circle
39. 360°
and
1.4
circle
acute angle
40. x < y or y> x
x is less than y
±vx
perpendicular bisectors
3.16
41. The sum of any two sides of a triangle is greater than
y-x
1/2
the third side
properties of parallelograms
42. 1/2d
slope of a line joining two points
1
c x (john'S age)
radius of a circle
43. Volume= 4/3?r² surface area= 4?r²
sphere
(y-x/x)100
equilateral triangle
vertical angles
44. Volume= e(edge)³ surface area= 6e²
equal to the sum of the measures of the remote exterior angles
inconsistent lines
greater than c
cube
45. Angles directly across each other are equal
all acute angles are equal and all obtuse angles are equal
vertical angles
equal angles
even
46. | |
parallel
the last two digits of the number make a number that is divisible by 4
cylinder
odd
47. xw> yz
any variable
all acute angles are equal and all obtuse angles are equal
x>y>0 and w>z>0
distributive axiom
48. Area= 1/2bh perimeter= a+b+c
triangle
360 degrees
n percent less than x
semicircle
49. Is the relation with ALL ordered pairs REVERSED.
inverse of a relation
midpoint of a line segment joining 2 parts
diameter of circle
or
50. 5+3= 3+5 and 5 x 3= 3 x 5
perpendicular
commutative axiom of addition and multiplication
finding the union of sets
inverse of a relation