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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. binomial product of (x-y)²
(x+y)(x-y)
Smallest positive integer
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
360/n

2. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
3 - -3
Relationship cannot be determined (what if x is negative?)
1

3. The Perimeter of a rectangle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180 degrees
P=2(l+w)
Members or elements

4. If the two sides of a triangle are unequal then the longer side.................
A central angle is an angle formed by 2 radii.
N! / (k!)(n-k)!
The overlapping sections.
Lies opposite the greater angle

5. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
9 : 25
All numbers multiples of 1.
Distance=rate×time or d=rt

6. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
The direction of the inequality is reversed.
Even prime number
x²-2xy+y²

7. What is an exterior angle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The point of intersection of the systems.
Two equal sides and two equal angles.
An angle which is supplementary to an interior angle.

8. 30 60 90
(distance)/(rate) d/r
(a - b)(a + b)
x - x(SR3) - 2x
A+c<b+c

9. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
(a + b)^2
C = (pi)d
130pi

10. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
Right
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
55%

11. X is the opposite of
X
An expression with just one term (-6x - 2a^2)
P(E) = number of favorable outcomes/total number of possible outcomes
A set with no members - denoted by a circle with a diagonal through it.

12. the slope of a line in y=mx+b
.0004809 X 10^11
$11 -448
The set of elements which can be found in either A or B.
M

13. What is a percent?
360°
12sqrt2
A percent is a fraction whose denominator is 100.
3 - 4 - 5

14. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
23 - 29
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

15. What does scientific notation mean?
500
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A=pi*(r^2)
Subtract them. i.e (5^7)/(5^3)= 5^4

16. The sum of the angles in a quadrilateral is
28. n = 8 - k = 2. n! / k!(n-k)!
360°
1:1:sqrt2
An isosceles right triangle.

17. 1 is an
$3 -500 in the 9% and $2 -500 in the 7%.
13
ODD number
3/2 - 5/3

18. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
83.333%
41 - 43 - 47
X

19. What is a set with no members called?
23 - 29
6 : 1 : 2
2.592 kg
The empty set - denoted by a circle with a diagonal through it.

20. Whats the difference between factors and multiples?
(a - b)(a + b)
Factors are few - multiples are many.
75:11
180

21. The reciprocal of any non-zero number is
Undefined
A reflection about the origin.
1/x
55%

22. 7/8 in percent?
87.5%
Relationship cannot be determined (what if x is negative?)
1 - P(E)
The sum of its digits is divisible by 3.

23. 50 < all primes< 60
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = ø
53 - 59
The greatest value minus the smallest.

24. x^6 / x^3
.0004809 X 10^11
x^(6-3) = x^3
87.5%
1 - P(E)

25. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Subtract them. i.e (5^7)/(5^3)= 5^4
F(x-c)
0

26. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
360/n
2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a - b)(a + b)

27. 30< all primes<40
Reciprocal
A = length x width
31 - 37
2(pi)r

28. (x-y)(x+y)
M
x²-y²
Cd
12.5%

29. Factor x^2 - xy + x.
x(x - y + 1)
M= (Y1-Y2)/(X1-X2)
16.6666%
P(E) = number of favorable outcomes/total number of possible outcomes

30. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Relationship cannot be determined (what if x is negative?)
4.25 - 6 - 22
x²-y²
(amount of decrease/original price) x 100%

31. 25+2³
Ø=P(E)=1
1
28
Add them. i.e. (5^7) * (5^3) = 5^10

32. Simplify the expression (p^2 - q^2)/ -5(q - p)
9 & 6/7
Members or elements
(p + q)/5
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

33. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
A reflection about the origin.
A percent is a fraction whose denominator is 100.
6

34. 4.809 X 10^7 =
2²
B?b?b (where b is used as a factor n times)
.0004809 X 10^11
180 degrees

35. bn
x - x(SR3) - 2x
Null
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
B?b?b (where b is used as a factor n times)

36. The larger the absolute value of the slope...
x - x+1 - x+2
The steeper the slope.
Even
70

37. The product of odd number of negative numbers
360°
Triangles with same measure and same side lengths.
Negative
75:11

38. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
M= (Y1-Y2)/(X1-X2)
441000 = 1 10 10 10 21 * 21
Parallelogram
A=(base)(height)

39. (a^-1)/a^5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/a^6
2 & 3/7
The empty set - denoted by a circle with a diagonal through it.

40. How to determine percent decrease?
Ø=P(E)=1
3 - -3
(amount of decrease/original price) x 100%
12! / 5!7! = 792

41. 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
x^(6-3) = x^3
A²+b²=c²
A = pi(r^2)

42. A number is divisible by 6 if...
18
Its divisible by 2 and by 3.
(a - b)(a + b)
Its last two digits are divisible by 4.

43. Describe the relationship between 3x^2 and 3(x - 1)^2
x - x(SR3) - 2x
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
6
A = length x width

44. What is the empty set?
3/2 - 5/3
4.25 - 6 - 22
1.0843 X 10^11
A set with no members - denoted by a circle with a diagonal through it.

45. What is the name of set with a number of elements which cannot be counted?
6
P(E) = 1/1 = 1
An infinite set.
6 : 1 : 2

46. What is the intersection of A and B?
2sqrt6
The set of elements found in both A and B.
71 - 73 - 79
6 : 1 : 2

47. How many sides does a hexagon have?
6
(a + b)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1

48. How to recognize a # as a multiple of 3
A natural number greater than 1 that has no positive divisors other than 1 and itself
A²+b²=c²
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)

49. The Perimeter of a Square
P=4s (s=side)
C = 2(pi)r
x²-2xy+y²
A multiple of every integer

50. Volume of a rectangular solid
48
Undefined
(length)(width)(height)
The overlapping sections.