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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.
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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. 20<all primes<30
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
23 - 29
x²-2xy+y²
4096

2. Volume of a cube
The interesection of A and B.
A reflection about the origin.
Edge³
3

3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Undefined - because we can'T divide by 0.
All numbers multiples of 1.
4725
A<-b

4. 1/2 divided by 3/7 is the same as
1/2 times 7/3
2^9 / 2 = 256
13
A tangent is a line that only touches one point on the circumference of a circle.

5. Slope of any line that goes down as you move from left to right is
Negative
angle that is greater than 90° but less than 180°
P(E) = 1/1 = 1
All numbers multiples of 1.

6. What is the 'domain' of a function?
P= 2L + 2w
The set of input values for a function.
4096
An arc is a portion of a circumference of a circle.

7. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
P= 2L + 2w
A set with a number of elements which can be counted.
8

8. What is the 'Solution' for a set of inequalities.
9
6
1
The overlapping sections.

9. 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.
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.
The sum of the digits is a multiple of 9.
1

10. Whats the difference between factors and multiples?
16.6666%
Factors are few - multiples are many.
Parallelogram
26

11. 1n
1
70
y2-y1/x2-x1
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

12. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
A=(base)(height)
67 - 71 - 73
4096

13. Any Horizontal line slope
zero
Factors are few - multiples are many.
EVEN
Members or elements

14. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(base*height) / 2
$11 -448
A=pi*(r^2)
180

15. Probability of an Event
The set of output values for a function.
3 - -3
Undefined
P(E) = number of favorable outcomes/total number of possible outcomes

16. factored binomial product of (x-y)²
360°
P(E) = 1/1 = 1
x²-2xy+y²
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

17. Perimeter of a rectangle
P= 2L + 2w
A percent is a fraction whose denominator is 100.
A subset.
360°

18. Volume of a rectangular solid
The greatest value minus the smallest.
x - x+1 - x+2
1.0843 X 10^11
(length)(width)(height)

19. A number is divisible by 3 if ...
1
1/x
The sum of its digits is divisible by 3.
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)

20. 2³×7³
2^9 / 2 = 256
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
(2x7)³
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. 7 divided by Ø
37.5%
2^9 / 2 = 256
Null
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)

22. Formula for the area of a circle?
500
A = pi(r^2)
Ø=P(E)=1
1.0843 X 10^11

23. 10^6 has how many zeroes?
6
C = 2(pi)r
Triangles with same measure and same side lengths.
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.)

24. the slope of a line in y=mx+b
A = length x width
M
Null
52

25. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A = length x width
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(x+y)(x-y)
2sqrt6

26. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
P= 2L + 2w
The objects within a set.
61 - 67

27. The important properties of a 45-45-90 triangle?
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.
10
27^(-4)
M= (Y1-Y2)/(X1-X2)

28. First 10 prime #s
(pi)r²
27^(-4)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

29. Ø Is neither
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x) - c
y/x is a constant
Positive or Negative

30. X is the opposite of
X
The direction of the inequality is reversed.
41 - 43 - 47
3

31. A quadrilateral where two diagonals bisect each other
N! / (k!)(n-k)!
Undefined - because we can'T divide by 0.
A<-b
Parallelogram

32. 2 is the only
27
Even prime number
All numbers multiples of 1.
3 - -3

33. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
x²+2xy+y²
P(E) = number of favorable outcomes/total number of possible outcomes
7 / 1000

34. 10<all primes<20
True
A natural number greater than 1 that has no positive divisors other than 1 and itself
A=½bh
11 - 13 - 17 - 19

35. How do you solve proportions? a/b=c/d
Negative
3/2 - 5/3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
6

36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!
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.
A tangent is a line that only touches one point on the circumference of a circle.

37. Ø is
N! / (k!)(n-k)!
... the square of the ratios of the corresponding sides.
Even
Two angles whose sum is 90.

38. 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?
B?b?b (where b is used as a factor n times)
Move the decimal point to the right x places
y = 2x^2 - 3
The set of input values for a function.

39. Ø is
A multiple of every integer
130pi
x(x - y + 1)
180°

40. (x^2)^4
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(2(4)) =x^8 = (x^4)^2
V=l×w×h
48

41. 25/2³
2²
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
A= (1/2) b*h

42. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
An infinite set.
1
Positive

43. a^2 - b^2
The greatest value minus the smallest.
72
an angle that is less than 90°
(a - b)(a + b)

44. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Relationship cannot be determined (what if x is negative?)
3 - 4 - 5
Cd
(a + b)^2

45. What is the intersection of A and B?
180°
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements found in both A and B.
9

46. Find distance when given time and rate
53 - 59
D=rt so r= d/t and t=d/r
A-b is positive
Reciprocal

47. If a<b - then
6
A+c<b+c
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

48. Evaluate 4/11 + 11/12
Even
1 & 37/132
(a - b)(a + b)
10

49. Area of a triangle?
y = 2x^2 - 3
(base*height) / 2
72
C = 2(pi)r

50. factored binomial product of (x+y)²
An isosceles right triangle.
P=4s (s=side)
x²+2xy+y²
3/2 - 5/3

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GRE Math: All In One

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