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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. Parallel and never intersect - they have no solution at all - they are parallel with the same slope
and
even
inconsistent lines
rectangle
2. y years ago
-y
the last three numbers are divisible by 8
diagonal of a square
+y
3. Area= 1/4s² v3 perimeter= 3s altitude= 1/2s v3
1.7
1/2
even
equilateral triangle
4. x= -b + vb²-4ac/2a and x = -b - vb²-4ac/2a
opposite the greatest side
quadratic equations
right triangle
area of a triangle
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
straight angle
set
angle a and angle b = angle d
6. x less than y
properties of a rectangle
x²-2xy+y²
angle inscribed in semicircle
y-x
7. 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*)
opposite the greatest side
closed set
any variable
square
8. The sum of the interior angles is
xy + xz
y intercept
a<x<b
180 degrees
9. Angle whose sides are two radii of the circle. The vertex of this angle is the center of the circle. The number of degrees is equal to the amount of arc length that the radd intercept.
central angle
even
negative reciprocal of the other
22/7 or 3.14
10. Intersect at only one point - the point is the only solution to the pair of equations
consistent lines
null set
right triangle
y-x
11. 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)
angle a and angle b = angle d
a
positive
v2/2 or .71
12. (x+y)(x+y)= (x+y)²
w<0 and x>y
x²+ 2xy+y²
x²-y²
sphere
13. 2k + 1
expression of an odd number
is a subset of
perpendicular bisectors
inverse of a relation
14. V2/2- v2/2 - 1 (90-45-45)
properties of a rhombus
find the intersection of two sets
isosceles triangle
a relation is a function
15. Square of hypotenuse = c² = a²+b² length of hypotenuse = c= va²+vb²
the last two digits of the number make a number that is divisible by 4
y angle< x angle
pythagorean theorem
inconsistent lines
16. 1-v3- 2 (90-30-60)
average
right triangle
diameter
x and y
17. Any integer is divisible by 9 - if
cube
it is also divisible by 2 and 3
the sum of its digits is divisible by 9
odd
18. Area= 1/2?r2 length= 1/2?d= ?r perimeter= d(1/2? +1)
inverse of a relation
inconsistent lines
right triangle
semicircle
19. y years from now
+y
belongs to
it is also divisible by 2 and 3
equilateral triangle
20. Is the relation with ALL ordered pairs REVERSED.
set
any variable
inverse of a relation
x<0
21. The sume of x and y
the third side
x + y
x>y and w>z
greater than c
22. Product of two odd numbers is
equilateral triangle
odd
similar triangles
xy
23. x+w> y+z
x>y and w>z
properties of a rectangle
3.16
greater than c
24. Sum of an odd and an even number is
rectangle
odd
1 - 3 - 5 - 7 - 9
approx square roots
25. 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.
(x/100)m= n
perpendicular bisectors
then side b > side a
(y-x/x)100
26. The lines that divide each angle of the triangle into two equal parts. these lines meet in a point that is the center of a circle inscribed in the triangle.
y-x
equal
the last digit is either 0 or 5
angle bisector
27. 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.
x+y/xy
any variable
regular polygon properties
isosceles triangle
28. 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 diagonals divides it into two pairs of congruent triangles
isosceles triangle
properties of parallelograms
0 - 2 - 4 - 6 - 8
rectangle
29. Diagonals divide into 6 equilateral triangles - the sides are equal to the sides of the ________. if inscribed in a circle - the length of each side is equal to the length of the radius of the circle.
rectangular solid
slope of a line joining two points
diagonal of a square
hexagon
30. xn<0 if n is odd and xn>0 if n is even
x + y
positive
x<0
w>0 and x>y
31. Angles that equal 180 degrees
x>y and y>z
set
always positive or zero
supplementary angles
32. All odd numbers end in the digits of
range of a relation
diameter of circle
1 - 3 - 5 - 7 - 9
pythagorean theorem
33. 7-24-25
right triangle
isosceles
1/2
diameter of circle
34. Product of an even number and any other number is
negative reciprocal of the other
x>y>0 and w>z>0
even
1 - 3 - 5 - 7 - 9
35. Between 90° and 180°
the perpendicular distance
obtuse angle
±vx
xy-xz
36. In transversals
quadratic equations
w<0 and x>y
isosceles triangle
all acute angles are equal and all obtuse angles are equal
37. (x-y)(x-y) = (x-y)²
x is less than y
equal
chord
x²-2xy+y²
38. x > y or y< x
x is greater than y
the percent of decrease
w<0 and x>y
null set
39. If y²= x - then y =
±vx
consistent lines
3.16
even
40. R²
angle
two solutions
diameter of circle
v2/2 or .71
41. Pairs of opposite angles formed by the intersection of two straight lines. always equal to each other
sphere
vertical angles
inscribed angle
central angle
42. The decrease from x to y
x-y
is a subset of
positive
radius
43. Any arc length is less than
percent
360 degrees
xy-xz
negative
44. The distance from the center of the circle
equals
right triangle
radius
the percent of decrease
45. Volume= bh or ?r²h surface area= 2?rh (w/o bases) or 2?r(h+r) with bases
sphere
cylinder
perpendicular bisectors
x and y
46. 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
coinciding lines
all acute angles are equal and all obtuse angles are equal
and
hemisphere
47. 3-4-5
is a subset of
x+y/xy
x>y>0 and w>z>0
right triangle
48. x(y+z)
properties of parallelograms
if two sets have no elements in common
find the intersection of two sets
xy + xz
49. x(y-z)
right triangle
xy-xz
xy
a side< b side
50. A chord through the center of the circle
when finding a solution set
is a subset of
diameter
times