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GRE Math: All In One

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. What is an arc of a circle?
P(E) = 1/1 = 1
1
Smallest positive integer
An arc is a portion of a circumference of a circle.

2. Slope of any line that goes down as you move from left to right is
Negative
C = 2(pi)r
180
Even

3. Probability of E not occurring:
67 - 71 - 73
B?b?b (where b is used as a factor n times)
1 - P(E)
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x

4. Is 0 even or odd?
F(x-c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(amount of decrease/original price) x 100%
Even

5. factored binomial product of (x+y)²
61 - 67
Indeterminable.
x²+2xy+y²
90

6. What is the side length of an equilateral triangle with altitude 6?
Sum of digits is a multiple of 3 and the last digit is even.
(x+y)(x-y)
4:5
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...

7. What is the graph of f(x) shifted left c units or spaces?
90
The union of A and B.
Two angles whose sum is 180.
F(x + c)

8. The reciprocal of any non-zero #x is
x^(6-3) = x^3
1/x
x(x - y + 1)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...

9. 1/Ø=null If a>b then
No - only like radicals can be added.
x²+2xy+y²
A<-b
Null

10. The product of any number x and its reciprocal
A-b is negative
A 30-60-90 triangle.
NOT A PRIME
1

11. The product of odd number of negative numbers
M
Be Zero!
53 - 59
Negative

12. How to recognize a # as a multiple of 9
1.7
The set of elements which can be found in either A or B.
The sum of its digits is divisible by 3.
The sum of the digits is a multiple of 9.

13. How do you solve proportions? a/b=c/d
7 / 1000
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D=rt so r= d/t and t=d/r

14. Define a 'monomial'
A=(base)(height)
D=rt so r= d/t and t=d/r
an angle that is less than 90°
An expression with just one term (-6x - 2a^2)

15. Time
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
(distance)/(rate) d/r
360°
Distance=rate×time or d=rt

16. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
x²-y²
Do not have slopes!
288 (8 9 4)

17. 5x^2 - 35x -55 = 0
The steeper the slope.
x^(6-3) = x^3
A-b is positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

18. Ø divided by 7
ODD number
Its divisible by 2 and by 3.
27
Ø

19. Dividing by a number is the same as multiplying it by its
500
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
Reciprocal
A = length x width

20. Rate
Even
X
180°
D/t (distance)/(time)

21. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
1:sqrt3:2
18
Positive
41 - 43 - 47

22. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The empty set - denoted by a circle with a diagonal through it.
The interesection of A and B.
Ø

23. 2³×7³
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(2x7)³
12! / 5!7! = 792

24. If a lamp increases from $80 to $100 - what is the percent increase?
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(2x7)³
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

25. Ø Is
The greatest value minus the smallest.
288 (8 9 4)
P=4s (s=side)
EVEN

26. If Event is impossible
5 - 12 - 13
130pi
P(E) = ø
0

27. Any Horizontal line slope
(distance)/(rate) d/r
The direction of the inequality is reversed.
zero
1 & 37/132

28. Number of degrees in a triangle
130pi
180
1
360/n

29. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10! / (10-3)! = 720
(2x7)³

30. What is the 'Range' of a series of numbers?
x²-2xy+y²
A central angle is an angle formed by 2 radii.
The greatest value minus the smallest.
F(x) - c

31. Ø is a multiple of
Two (Ø×2=Ø)
1
D/t (distance)/(time)
87.5%

32. Whats the difference between factors and multiples?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
(n-2) x 180
62.5%
Factors are few - multiples are many.

33. 0^0
Undefined
A+c<b+c
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
18

34. Area of a circle
A set with no members - denoted by a circle with a diagonal through it.
180
(pi)r²
Two angles whose sum is 180.

35. (12sqrt15) / (2sqrt5) =
A tangent is a line that only touches one point on the circumference of a circle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
Indeterminable.

36. Simplify 9^(1/2) X 4^3 X 2^(-6)?
angle that is greater than 90° but less than 180°
3
12sqrt2
1.7

37. Formula to find a circle'S circumference from its diameter?
Indeterminable.
441000 = 1 10 10 10 21 * 21
C = (pi)d
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

38. A quadrilateral where two diagonals bisect each other
The point of intersection of the systems.
The sum of digits is divisible by 9.
4.25 - 6 - 22
Parallelogram

39. What is a finite set?
Its last two digits are divisible by 4.
130pi
A set with a number of elements which can be counted.
Triangles with same measure and same side lengths.

40. 3 is the opposite of
71 - 73 - 79
x²-2xy+y²
P=4s (s=side)
3

41. Area of a triangle?
180 degrees
1:sqrt3:2
(base*height) / 2
Relationship cannot be determined (what if x is negative?)

42. Area of a circle
A percent is a fraction whose denominator is 100.
An infinite set.
A=(base)(height)
A=pi*(r^2)

43. 4.809 X 10^7 =
87.5%
Straight Angle
$11 -448
.0004809 X 10^11

44. a^2 + 2ab + b^2
(distance)/(rate) d/r
(a + b)^2
4a^2(b)
Smallest positive integer

45. Area of a rectangle
26
A = length x width
C=2 x pi x r OR pi x D
90°

46. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A=(base)(height)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
37.5%
y = 2x^2 - 3

47. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
Ab=k (k is a constant)
y = 2x^2 - 3
2.592 kg

48. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(a + b)^2
90
Negative
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)

49. A number is divisible by 9 if...
The sum of digits is divisible by 9.
= (actual decrease/Original amount) x 100%
Null
A+c<b+c

50. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
x²+2xy+y²
Positive
A=(base)(height)
10! / (10-3)! = 720