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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. Simplify the expression [(b^2 - c^2) / (b - c)]
1
$3 -500 in the 9% and $2 -500 in the 7%.
C = (pi)d
(b + c)

2. What is the graph of f(x) shifted upward c units or spaces?
Pi(diameter)
13pi / 2
The steeper the slope.
F(x) + c

3. Which is greater? 200x^295 or 10x^294?
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
F(x) + c
A subset.
Relationship cannot be determined (what if x is negative?)

4. 1 is an
Straight Angle
ODD number
The set of elements found in both A and B.
2sqrt6

5. When dividing exponential #s with the same base - you do this to the exponents...
x²-y²
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%
Subtract them. i.e (5^7)/(5^3)= 5^4

6. 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)
X
4.25 - 6 - 22
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...
75:11

7. Define an 'expression'.
Every number
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)
C = 2(pi)r
y2-y1/x2-x1

8. x^2 = 9. What is the value of x?
The sum of its digits is divisible by 3.
3 - -3
Pi is the ratio of a circle'S circumference to its diameter.
Its divisible by 2 and by 3.

9. How many 3-digit positive integers are even and do not contain the digit 4?
1/x
55%
288 (8 9 4)
(length)(width)(height)

10. In a Rectangle - each angles measures
The sum of its digits is divisible by 3.
180
90°
27

11. (6sqrt3) x (2sqrt5) =
Distance=rate×time or d=rt
20.5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

12. factored binomial product of (x-y)²
x²-2xy+y²
The two xes after factoring.
5
F(x) + c

13. Ø is a multiple of
An angle which is supplementary to an interior angle.
y = (x + 5)/2
Two (Ø×2=Ø)
$3 -500 in the 9% and $2 -500 in the 7%.

14. 3 is the opposite of
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=pi*(r^2)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3

15. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
A+c<b+c
A = length x width
52

16. What are the roots of the quadrinomial x^2 + 2x + 1?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Relationship cannot be determined (what if x is negative?)
P=2(l+w)
The two xes after factoring.

17. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The sum of the digits is a multiple of 9.
The set of input values for a function.
ODD number

18. Slope of any line that goes up from left to right
Smallest positive integer
The interesection of A and B.
Positive
Ø

19. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
83.333%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A 30-60-90 triangle.

20. (x^2)^4
x^(6-3) = x^3
A 30-60-90 triangle.
180°
x^(2(4)) =x^8 = (x^4)^2

21. binomial product of (x-y)²
(x+y)(x-y)
Sector area = (n/360) X (pi)r^2
Positive
N! / (n-k)!

22. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Its divisible by 2 and by 3.
A multiple of every integer
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)

23. 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?
1.0843 X 10^11
90
10! / 3!(10-3)! = 120
2sqrt6

24. Volume of a cube
12.5%
Edge³
A= (1/2) b*h
The set of elements found in both A and B.

25. What are the real numbers?
18
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)
(b + c)
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...

26. Area of a circle
1
3
Null
A=pi*(r^2)

27. Ø divided by 7
y/x is a constant
B?b?b (where b is used as a factor n times)
Ø
90°

28. Pi is a ratio of what to what?

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29. What are complementary angles?
A reflection about the origin.
1
N! / (k!)(n-k)!
Two angles whose sum is 90.

30. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
61 - 67
A multiple of every integer
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

31. What is the 'Solution' for a system of linear equations?
1
The point of intersection of the systems.
Sector area = (n/360) X (pi)r^2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

32. Describe the relationship between 3x^2 and 3(x - 1)^2
x^(2(4)) =x^8 = (x^4)^2
Two equal sides and two equal angles.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3

33. The negative exponent x?n is equivalent to what?
V=Lwh
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A tangent is a line that only touches one point on the circumference of a circle.
ODD number

34. (12sqrt15) / (2sqrt5) =
(n-2) x 180
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The second graph is less steep.
An isosceles right triangle.

35. What does scientific notation mean?
3
Pi is the ratio of a circle'S circumference to its diameter.
3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

36. What are the integers?
Ab-ac
P(E) = ø
1:sqrt3:2
All numbers multiples of 1.

37. The important properties of a 45-45-90 triangle?
0
A reflection about the axis.
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.
360°

38. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
Edge³
3/2 - 5/3
Ø

39. Which is greater? 27^(-4) or 9^(-8)
8
27^(-4)
9 & 6/7
The second graph is less steep.

40. Find distance when given time and rate
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12sqrt2
D=rt so r= d/t and t=d/r
$11 -448

41. Acute Angle
10! / (10-3)! = 720
1/x
an angle that is less than 90°
NOT A PRIME

42. Pythagorean theorem
20.5
A²+b²=c²
Even
Null

43. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
3 - 4 - 5
61 - 67
y = (x + 5)/2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

44. 20<all primes<30
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
23 - 29
Positive
(amount of decrease/original price) x 100%

45. Convert 0.7% to a fraction.
7 / 1000
A²+b²=c²
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
V=l×w×h

46. Legs: 3 - 4. Hypotenuse?
1/x
12! / 5!7! = 792
Its last two digits are divisible by 4.
5

47. b¹
130pi
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
Distance=rate×time or d=rt

48. What is a percent?
All numbers multiples of 1.
A percent is a fraction whose denominator is 100.
27
6

49. Ø Is neither
A grouping of the members within a set based on a shared characteristic.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Positive or Negative
1/2 times 7/3

50. Write 10 -843 X 10^7 in scientific notation
Two angles whose sum is 180.
1.0843 X 10^11
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.)
360°