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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. Ø²
(a - b)^2
Ø
A=½bh
A tangent is a line that only touches one point on the circumference of a circle.

2. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
28
A=½bh
The sum of the digits is a multiple of 9.

3. If a lamp increases from $80 to $100 - what is the percent increase?
1
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
8
3x - 4x - 5x

4. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Triangles with same measure and same side lengths.
83.333%
2 & 3/7
P(E) = ø

5. What is the slope of a vertical line?

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6. An Angle that'S 180°
Straight Angle
Add them. i.e. (5^7) * (5^3) = 5^10
NOT A PRIME
A chord is a line segment joining two points on a circle.

7. Can you add sqrt 3 and sqrt 5?
1:1:sqrt2
1 - P(E)
Ab+ac
No - only like radicals can be added.

8. a(b-c)
Ab-ac
X
(length)(width)(height)
26

9. formula for the volume of a cube
The overlapping sections.
V=side³
$11 -448
(amount of decrease/original price) x 100%

10. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
Smallest positive integer
A grouping of the members within a set based on a shared characteristic.
A-b is positive

11. Area of a circle
A=pi*(r^2)
Undefined - because we can'T divide by 0.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 - P(E)

12. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
55%
Every number
V=l×w×h

13. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
x²+2xy+y²
A 30-60-90 triangle.
Every number
Edge³

14. Factor a^2 + 2ab + b^2
(a + b)^2
Can be negative - zero - or positive
Positive
(a - b)^2

15. (2²)³
0
26
Indeterminable.
An expression with just one term (-6x - 2a^2)

16. If a is positive - an is
Positive
13
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Its last two digits are divisible by 4.

17. Area of a Parallelogram:
1:sqrt3:2
A=(base)(height)
x²+2xy+y²
Ø=P(E)=1

18. Evaluate (4^3)^2
F(x) + c
12.5%
1
4096

19. Area of a rectangle
A = length x width
71 - 73 - 79
5 OR -5
Arc length = (n/360) x pi(2r) where n is the number of degrees.

20. Slope of any line that goes up from left to right
x^(4+7) = x^11
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.)
1
Positive

21. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
N! / (k!)(n-k)!
Cd
Every number

22. 5x^2 - 35x -55 = 0
12.5%
180 degrees
Ø Ø=Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

23. If a is inversely porportional to b - what does it equal?
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
4096
The shortest arc between points A and B on a circle'S diameter.
Ab=k (k is a constant)

24. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
A=(base)(height)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
y2-y1/x2-x1

25. 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?
2.592 kg
6
Distance=rate×time or d=rt
x - x+1 - x+2

26. Formula for the area of a circle?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A = pi(r^2)
Be Zero!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

27. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1
The point of intersection of the systems.
23 - 29

28. If a<b - then
D=rt so r= d/t and t=d/r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
.0004809 X 10^11
A+c<b+c

29. A number is divisible by 6 if...
12! / 5!7! = 792
(a + b)^2
Its divisible by 2 and by 3.
27

30. What is an exterior angle?
An angle which is supplementary to an interior angle.
An is positive
Ø
(x+y)(x+y)

31. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
(pi)r²
Cd
A+c<b+c

32. 1/2 divided by 3/7 is the same as
1/2 times 7/3
C = 2(pi)r
A reflection about the origin.
A reflection about the axis.

33. 5/8 in percent?
62.5%
An expression with just one term (-6x - 2a^2)
3 - 4 - 5
2sqrt6

34. What is the graph of f(x) shifted right c units or spaces?
The point of intersection of the systems.
F(x-c)
Yes - like radicals can be added/subtracted.
55%

35. 20<all primes<30
Straight Angle
(x+y)(x-y)
23 - 29
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

36. What is the graph of f(x) shifted upward c units or spaces?
62.5%
F(x) + c
Two equal sides and two equal angles.
The sum of its digits is divisible by 3.

37. 25^(1/2) or sqrt. 25 =
5 OR -5
C = 2(pi)r
Negative
28. n = 8 - k = 2. n! / k!(n-k)!

38. If a product of two numbers is Ø - one number must be
Ø
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The sum of its digits is divisible by 3.
27^(-4)

39. What is the graph of f(x) shifted downward c units or spaces?
6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
F(x) - c
Positive

40. The sum of the angles in a quadrilateral is
360°
M= (Y1-Y2)/(X1-X2)
Even
11 - 13 - 17 - 19

41. a(b+c)
Ø
5 OR -5
Ab+ac
A set with a number of elements which can be counted.

42. 30 60 90
A tangent is a line that only touches one point on the circumference of a circle.
Pi is the ratio of a circle'S circumference to its diameter.
x - x(SR3) - 2x
Indeterminable.

43. What is the ratio of the sides of an isosceles right triangle?
Be Zero!
1:1:sqrt2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The steeper the slope.

44. (x+y)²
1.7
x²+2xy+y²
x²-2xy+y²
6 : 1 : 2

45. For any number x
Can be negative - zero - or positive
The set of elements found in both A and B.
ODD number
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

46. Factor x^2 - xy + x.
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)
x(x - y + 1)
Do not have slopes!
N! / (n-k)!

47. a^2 - b^2
The union of A and B.
(a - b)(a + b)
(length)(width)(height)
3 - 4 - 5

48. Acute Angle
5 - 12 - 13
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)
an angle that is less than 90°
Even prime number

49. 1n
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.)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
360°
1

50. Product of any number and Ø is
0
Ø
M
75:11