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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. x + (n/100)x
approx products
the percent of increase
n percent greater than x
the percent of decrease
2. V3
a side< b side
commutative axiom of addition and multiplication
equal angles
1.7
3. 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
diameter
1.4
properties of a square
perpendicular
4. ?
odd
if two sets have no elements in common
xy>0
22/7 or 3.14
5. 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)
combinations
isosceles
coinciding lines
x²+ 2xy+y²
6. 5+3= 3+5 and 5 x 3= 3 x 5
commutative axiom of addition and multiplication
percent
x>y and y>z
area of a triangle
7. A+b=c+ d=d
a+b+d=c+d
closed set
finding the union of sets
v2/2 or .71
8. x(y+z)
slope of a line joining two points
properties of a rhombus
triangle or straight line
xy + xz
9. 1-1-v2 (90-45-45)
right triangle
quadratic equations
combinations
x is less than y
10. 90°
1/2
right angle
parallelogram
positive
11. Area= 1/2?r2 length= 1/2?d= ?r perimeter= d(1/2? +1)
semicircle
equal angles
inscribed angle
right triangle
12. 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.
simultaneous equations in 2 unknowns
perpendicular
hexagon
x+y/xy
13. V2/2- v2/2 - 1 (90-45-45)
even
isosceles triangle
equilateral triangle
null set
14. The percent increase from x to y (y>x)
(y-x/x)100
x - y
diameter
no solutions
15. ? if a side < b side - then
y angle< x angle
the square of x
properties of a square
opposite the greatest side
16. Two tangents to a circle from the same point outside of the circle are always
approx products
x - y
the last digit is 0
equal
17. 1-v3- 2 (90-30-60)
x%
perpendicular bisectors
right triangle
±vx
18. 1/an
-y
x>y>0 and w>z>0
a?n
negative
19. Angles directly across each other are equal
the last three numbers are divisible by 8
vertical angles
commutative axiom of addition and multiplication
equal angles
20. If b²-4ac < 0 - there are
angle bisector
equal
x>y and y>z
no solutions
21. The point where the line crosses the y-axis - x will always = 0 in this case
probability
properties of a square
y intercept
v2/2 or .71
22. Distributive axiom - commutative axiom of addition and multiplication - associative axioms of addition and multiplication
Axioms
chord
equilateral triangle
xy-xz
23. Sum of an odd and an even number is
diameter of circle
the last digit is 0
3.16
odd
24. Product of an even number and any other number is
implies
even
equilateral triangle
triangle or straight line
25. A/A¹ = B/B¹= C/C¹
xy>0
similar triangles
the sum of its digits is divisible by 3
right triangle
26. 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)
3.16
angle a and angle b = angle d
permutations
positive
27. 180°
triangle or straight line
rectangular solid
right triangle
equilateral triangle
28. x +z > y+z
equal angles
x%
greater than c
x>y
29. Any integer is divisible by 3 - if
the sum of its digits is divisible by 3
1 - 3 - 5 - 7 - 9
a relation is a function
altitude of a triangle
30. All angles are right angles and diagonals are equal 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
average
area of a triangle
y-x
properties of a rectangle
31. Volume= e(edge)³ surface area= 6e²
the last three numbers are divisible by 8
a<x<b
x>y>0 and w>z>0
cube
32. Parallel and never intersect - they have no solution at all - they are parallel with the same slope
chord
greater than c
opposite the greatest side
inconsistent lines
33. x²
x²-2xy+y²
the square of x
inconsistent lines
reflex angle
34. ?
perpendicular
and
never divide by zero
x<0
35. Area= l x w perimeter = (2l)(2w)
triangle or straight line
the sum of its digits is divisible by 9
rectangle
diameter
36. 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.
x²+ 2xy+y²
the third side
altitude of a triangle
diagonal of a square
37. A line that is perpendicular to a radius and that passes through only one point of the circle.
percent
tangent
inscribed angle
right triangle
38. 1. determine a rough approximation of the square root of the number. 2. divide the number by all the primes that are less than the approx square root. If the number is not divisible by ANY of the these primes - then it is prime. If it IS divisible -
right triangle
probability
xy>0
determining if a number is prime
39. Sin 45°
1
central angle
v2/2 or .71
±vx
40. N is what % of m
the last digit is 0
parallelogram
n= mx/100
polygon
41. x - (n/100)x
n percent less than x
isosceles triangle
inverse of a relation
isosceles
42. R²
right triangle
diameter of circle
inverse of a relation
b is the y-intercept
43. 1. round each number being added to one more place than it is being asked. 2. add the rounded numbers. 3. round off the sum to the desired number of places
approx sums
medians of a triangle
the perpendicular distance
right triangle
44. x/100
the perpendicular distance
distributive axiom
x percent
chord
45. Which - what
any variable
cube
a<x<b
negative
46. 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.
regular polygon properties
average
diameter
360 degrees
47. 1/x + 1/y x -y ? 0
0 - 2 - 4 - 6 - 8
a+b+d=c+d
the sum of parts
x+y/xy
48. Is the relation with ALL ordered pairs REVERSED.
cube
b+d>c+e
or
inverse of a relation
49. If two lines are perpendicular - the slope of one is the
odd
-y
negative reciprocal of the other
1/2
50. Any number squared or raised to an even power is
n percent less than x
always positive or zero
1.7
probability