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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A reflection about the origin.
A=bh
= (actual decrease/Original amount) x 100%

2. A number is divisible by 9 if...
The sum of digits is divisible by 9.
x-2xy+y
y/x is a constant
A+b=c

3. (x-y)
3 - 4 - 5
x-2xy+y
C = 2(pi)r
31 - 37

4. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
A set with no members - denoted by a circle with a diagonal through it.
Even
3 - 4 - 5

5. 30 60 90
3 - 4 - 5
The sum of digits is divisible by 9.
y = (x + 5)/2
(a - b)(a + b)

6. 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))?
C=2 x pi x r OR pi x D
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C = 2(pi)r
20.5

7. is
Add them. i.e. (5^7) * (5^3) = 5^10
1

Even

8. In a rectangle - all angles are
A=bh
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.)
Positive
Right

9. How many multiples does a given number have?
23 - 29
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)
N! / (k!)(n-k)!
Infinite.

10. Circumference of a circle
A = pi(r^2)
90pi
Pi(diameter)
A percent is a fraction whose denominator is 100.

11. How do you solve proportions? a/b=c/d
Every number
A subset.
6 : 1 : 2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

12. 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.
360
26
55%

13. Legs 5 - 12. Hypotenuse?
13
4.25 - 6 - 22
52
P= 2L + 2w

14. the measure of a straight angle
10
Two equal sides and two equal angles.
The point of intersection of the systems.
180

15. Dividing by a number is the same as multiplying it by its
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Reciprocal
Infinite.
67 - 71 - 73

16. 30< all primes<40
31 - 37
Sector area = (n/360) X (pi)r^2
N! / (n-k)!
Triangles with same measure and same side lengths.

17. What are 'Supplementary angles?'
Smallest positive integer
Cd
Two angles whose sum is 180.
No - only like radicals can be added.

18. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
28
0
Every number
11 - 13 - 17 - 19

19. What is the graph of f(x) shifted right c units or spaces?
V=side
(rate)(time) d=rt
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
F(x-c)

20. 1n
1
28. n = 8 - k = 2. n! / k!(n-k)!
Relationship cannot be determined (what if x is negative?)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

21. What does scientific notation mean?
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.)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
0
1/x

22. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
500
2sqrt6
180 degrees
180

23. Which is greater? 64^5 or 16^8
5 - 12 - 13
Even
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
= (actual decrease/Original amount) x 100%

24. (x+y)
20.5
4725
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
x+2xy+y

25. What is the order of operations?
16.6666%
Even
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
360

26. 3 is the opposite of
Diameter(Pi)
3
An angle which is supplementary to an interior angle.
A natural number greater than 1 that has no positive divisors other than 1 and itself

27. Pi is a ratio of what to what?
The set of input values for a function.
3
0
Pi is the ratio of a circle'S circumference to its diameter.

28. Time
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Its divisible by 2 and by 3.
2 & 3/7
(distance)/(rate) d/r

29. Write 10 -843 X 10^7 in scientific notation
Be Zero!
6
1.0843 X 10^11
(n-2) x 180

30. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
1
Even prime number
90

31. A number is divisible by 6 if...
The greatest value minus the smallest.
2
360
Its divisible by 2 and by 3.

32. 7 divided by
.0004809 X 10^11
Indeterminable.
Null
9 & 6/7

33. Any Horizontal line slope
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)
28. n = 8 - k = 2. n! / k!(n-k)!
The set of input values for a function.
zero

34. formula for area of a triangle
The greatest value minus the smallest.
A multiple of every integer
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=bh

35. What are the real numbers?
3x - 4x - 5x
9 : 25
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)
Ab+ac

36. Probability of an Event
360
72
Even
P(E) = number of favorable outcomes/total number of possible outcomes

37. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
23 - 29
Every number
Lies opposite the greater angle
Cd

38. Circumference of a Circle
5 - 12 - 13
An arc is a portion of a circumference of a circle.
27^(-4)
C=2 x pi x r OR pi x D

39. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
52
31 - 37
V=Lwh
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

40. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
90
A = pi(r^2)
Null

41. Define an 'expression'.
(a + b)^2
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)
53 - 59
Yes - like radicals can be added/subtracted.

42. 10^6 has how many zeroes?
P(E) =
A=(base)(height)
6
(distance)/(rate) d/r

43. Evaluate 4/11 + 11/12
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
C=2 x pi x r OR pi x D
2(pi)r
1 & 37/132

44. Acute Angle
Positive or Negative
4096
X
an angle that is less than 90

45. 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?
1
441000 = 1 10 10 10 21 * 21
16.6666%
x^(6-3) = x^3

46. Legs: 3 - 4. Hypotenuse?
5
Ab-ac
180
360/n

47. What is an exterior angle?
= (actual decrease/Original amount) x 100%
x+2xy+y
72
An angle which is supplementary to an interior angle.

48. 30 60 90
A-b is negative
The set of elements found in both A and B.
37.5%
5 - 12 - 13

49. 1/2 divided by 3/7 is the same as
Lies opposite the greater angle
2
The set of elements found in both A and B.
1/2 times 7/3

50. How to recognize if a # is a multiple of 12
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.)
90
P(E) = 1/1 = 1
13

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