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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. 3 is the opposite of
3
x²+2xy+y²
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

2. Any Horizontal line slope
zero
A tangent is a line that only touches one point on the circumference of a circle.
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)
The set of elements found in both A and B.

3. Describe the relationship between the graphs of x^2 and (1/2)x^2
A set with a number of elements which can be counted.
1
The second graph is less steep.
130pi

4. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A grouping of the members within a set based on a shared characteristic.
12sqrt2
2 & 3/7
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. What does scientific notation mean?
The set of elements found in both A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Do not have slopes!

6. What are complementary angles?
20.5
Two angles whose sum is 90.
An is positive
Two equal sides and two equal angles.

7. formula for volume of a rectangular solid
... the square of the ratios of the corresponding sides.
P(E) = ø
Every number
V=l×w×h

8. Consecutive integers
x - x+1 - x+2
Right
Ab=k (k is a constant)
Distance=rate×time or d=rt

9. (a^-1)/a^5
The empty set - denoted by a circle with a diagonal through it.
P(E) = ø
1/a^6
An expression with just one term (-6x - 2a^2)

10. bn
A subset.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
B?b?b (where b is used as a factor n times)

11. What is a major arc?

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12. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
A= (1/2) b*h
y2-y1/x2-x1
The sum of the digits is a multiple of 9.

13. What is a chord of a circle?
31 - 37
A chord is a line segment joining two points on a circle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

14. What is the measure of an exterior angle of a regular pentagon?
31 - 37
72
5 OR -5
... the square of the ratios of the corresponding sides.

15. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
An isosceles right triangle.
1
Sum of digits is a multiple of 3 and the last digit is even.

16. How do you solve proportions? a/b=c/d
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Parallelogram
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=l×w×h

17. Pi is a ratio of what to what?

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18. If a is positive - an is
EVEN
x - x+1 - x+2
4096
Positive

19. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
3/2 - 5/3
$3 -500 in the 9% and $2 -500 in the 7%.
P=4s (s=side)

20. What is a subset?
x^(6-3) = x^3
Two equal sides and two equal angles.
A grouping of the members within a set based on a shared characteristic.
3/2 - 5/3

21. Probability of Event all cases
Ø=P(E)=1
.0004809 X 10^11
F(x) - c
Members or elements

22. 1/8 in percent?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Can be negative - zero - or positive
12.5%
Every number

23. What is the sum of the angles of a triangle?
2 & 3/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180 degrees
An infinite set.

24. 1/2 divided by 3/7 is the same as
1/2 times 7/3
2^9 / 2 = 256
Pi is the ratio of a circle'S circumference to its diameter.
Move the decimal point to the right x places

25. (x-y)(x+y)
1:sqrt3:2
x²-y²
48
130pi

26. Simplify 9^(1/2) X 4^3 X 2^(-6)?
EVEN
P=2(l+w)
angle that is greater than 90° but less than 180°
3

27. factored binomial product of (x-y)²
The two xes after factoring.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x²-2xy+y²
The direction of the inequality is reversed.

28. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
4.25 - 6 - 22
10! / 3!(10-3)! = 120
An arc is a portion of a circumference of a circle.

29. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
288 (8 9 4)
1:1:sqrt2
An angle which is supplementary to an interior angle.

30. What is an isoceles triangle?
The objects within a set.
20.5
31 - 37
Two equal sides and two equal angles.

31. A prime number (or a prime)
28. n = 8 - k = 2. n! / k!(n-k)!
A multiple of every integer
A natural number greater than 1 that has no positive divisors other than 1 and itself
The sum of digits is divisible by 9.

32. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A-b is negative
3 - 4 - 5

33. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.
C=2 x pi x r OR pi x D
(a - b)(a + b)

34. -3³
An infinite set.
180°
27
2sqrt6

35. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y = 2x^2 - 3
.0004809 X 10^11
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

36. 60 < all primes <70
(base*height) / 2
61 - 67
9 : 25
A = length x width

37. How to recognize if a # is a multiple of 12
(a - b)(a + b)
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
$3 -500 in the 9% and $2 -500 in the 7%.

38. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
4a^2(b)
16.6666%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

39. Factor a^2 + 2ab + b^2
Be Zero!
(a + b)^2
1
31 - 37

40. Ø is
The longest arc between points A and B on a circle'S diameter.
y = (x + 5)/2
A multiple of every integer
y/x is a constant

41. One is (a prime or not?)
3x - 4x - 5x
NOT A PRIME
A+c<b+c
(b + c)

42. 5/8 in percent?
The greatest value minus the smallest.
0
62.5%
Subtract them. i.e (5^7)/(5^3)= 5^4

43. binomial product of (x+y)(x-y)
... the square of the ratios of the corresponding sides.
72
x²-y²
3/2 - 5/3

44. What are the real numbers?
EVEN
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5 - 12 - 13
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)

45. 1 is an
A tangent is a line that only touches one point on the circumference of a circle.
ODD number
16.6666%
4:5

46. Circumference of a circle
Pi(diameter)
Ø=P(E)=1
(a - b)(a + b)
11 - 13 - 17 - 19

47. What is the slope of a horizontal line?
P= 2L + 2w
0
C=2 x pi x r OR pi x D
18

48. Ø is a multiple of
(pi)r²
Two (Ø×2=Ø)
62.5%
31 - 37

49. formula for the volume of a cube
x(x - y + 1)
x²-2xy+y²
V=side³
3x - 4x - 5x

50. Area of a Parallelogram:
A reflection about the origin.
9 : 25
A=(base)(height)
The two xes after factoring.