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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. If a lamp increases from $80 to $100 - what is the percent increase?
1/x
D/t (distance)/(time)
x²-y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

2. An Angle that'S 180°
83.333%
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.)
Straight Angle
1 & 37/132

3. How to determine percent decrease?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Negative
P(E) = number of favorable outcomes/total number of possible outcomes
(amount of decrease/original price) x 100%

4. 7 divided by Ø
C=2 x pi x r OR pi x D
87.5%
Null
A multiple of every integer

5. The Denominator can never
23 - 29
The shortest arc between points A and B on a circle'S diameter.
Be Zero!
Move the decimal point to the right x places

6. What is the 'Range' of a series of numbers?
A subset.
The greatest value minus the smallest.
9 : 25
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. What is the surface area of a cylinder with radius 5 and height 8?
3
130pi
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
1/x

8. 5/8 in percent?
Cd
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
62.5%
A set with no members - denoted by a circle with a diagonal through it.

9. What percent of 40 is 22?
The sum of the digits is a multiple of 9.
Positive
y = 2x^2 - 3
55%

10. 7/8 in percent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Move the decimal point to the right x places
87.5%
EVEN

11. Is 0 even or odd?
Ø Ø=Ø
Even
Ø
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

12. 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)?
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.
y = (x + 5)/2
1
Its last two digits are divisible by 4.

13. If an inequality is multiplied or divided by a negative number....
Move the decimal point to the right x places
All numbers multiples of 1.
The direction of the inequality is reversed.
Ab-ac

14. If Event is impossible
3
P(E) = ø
4725
1

15. When dividing exponential #s with the same base - you do this to the exponents...
12! / 5!7! = 792
Subtract them. i.e (5^7)/(5^3)= 5^4
(a + b)^2
90pi

16. 0^0
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Undefined
The steeper the slope.
180°

17. 3/8 in percent?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Infinite.
Undefined - because we can'T divide by 0.
37.5%

18. a^2 - b^2
13pi / 2
(a - b)^2
(a - b)(a + b)
Ø

19. Area of a triangle
An expression with just one term (-6x - 2a^2)
A= (1/2) b*h
28
1:sqrt3:2

20. A quadrilateral where two diagonals bisect each other
Its divisible by 2 and by 3.
Parallelogram
2²
3 - -3

21. What is an arc of a circle?
F(x-c)
2
3
An arc is a portion of a circumference of a circle.

22. 1n
A=½bh
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1

23. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
P=4s (s=side)
Two equal sides and two equal angles.

24. 4.809 X 10^7 =
The sum of the digits is a multiple of 9.
.0004809 X 10^11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An infinite set.

25. 5/6 in percent?
y2-y1/x2-x1
The second graph is less steep.
180
83.333%

26. Write 10 -843 X 10^7 in scientific notation
D/t (distance)/(time)
1.0843 X 10^11
The set of elements which can be found in either A or B.
X

27. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1.0843 X 10^11
28. n = 8 - k = 2. n! / k!(n-k)!
The sum of the digits is a multiple of 9.
8

28. 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))?
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)
52
20.5
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)

29. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
53 - 59
A<-b
360°

30. What is a finite set?
Positive
V=Lwh
A set with a number of elements which can be counted.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

31. Ø divided by 7
Ø
5 - 12 - 13
D/t (distance)/(time)
Factors are few - multiples are many.

32. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
y = 2x^2 - 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of input values for a function.

33. Ø²
A reflection about the axis.
Infinite.
1/x
Ø

34. Probability of Event all cases
Ø=P(E)=1
1:1:sqrt2
10! / (10-3)! = 720
Null

35. How many multiples does a given number have?
x²-y²
Infinite.
Positive
Can be negative - zero - or positive

36. Ø is a multiple of
An arc is a portion of a circumference of a circle.
Positive
(pi)r²
Every number

37. Probability of an Event
y = (x + 5)/2
angle that is greater than 90° but less than 180°
M
P(E) = number of favorable outcomes/total number of possible outcomes

38. 1/2 divided by 3/7 is the same as
1/2 times 7/3
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)
1/x
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

39. How to recognize a multiple of 6
Cd
Sum of digits is a multiple of 3 and the last digit is even.
The sum of digits is divisible by 9.
2sqrt6

40. binomial product of (x-y)²
(x+y)(x-y)
12sqrt2
75:11
A=½bh

41. What are complementary angles?
Two angles whose sum is 90.
y = (x + 5)/2
A central angle is an angle formed by 2 radii.
1

42. Area of a circle
Every number
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(pi)r²
M= (Y1-Y2)/(X1-X2)

43. What is the slope of a vertical line?

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44. -3²
9
55%
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)
1

45. x^6 / x^3
Factors are few - multiples are many.
A+c<b+c
x^(6-3) = x^3
9 & 6/7

46. The sum of all angles around a point
360°
N! / (n-k)!
Pi is the ratio of a circle'S circumference to its diameter.
... the square of the ratios of the corresponding sides.

47. 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)
3/2 - 5/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4.25 - 6 - 22
Sector area = (n/360) X (pi)r^2

48. 25+2³
Ø
Ab=k (k is a constant)
28
1:sqrt3:2

49. X is the opposite of
72
The shortest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
X

50. binomial product of (x+y)(x-y)
x²-2xy+y²
500
x²-y²
6