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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. How to recognize a multiple of 6
Parallelogram
Null
Sum of digits is a multiple of 3 and the last digit is even.
4725

2. If y is directly proportional to x - what does it equal?
1/x
1
A = pi(r^2)
y/x is a constant

3. Describe the relationship between 3x^2 and 3(x - 1)^2
P=2(l+w)
P= 2L + 2w
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
27

4. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
6
N! / (k!)(n-k)!
The set of input values for a function.
3

5. What is a chord of a circle?
Positive or Negative
5 - 12 - 13
A chord is a line segment joining two points on a circle.
Even

6. First 10 prime #s
1
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.)
A-b is negative
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. How to determine percent decrease?
Ø=P(E)=1
Sum of digits is a multiple of 3 and the last digit is even.
N! / (n-k)!
(amount of decrease/original price) x 100%

8. Define an 'expression'.
1
2^9 / 2 = 256
55%
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)

9. Circumference of a circle
(rate)(time) d=rt
(base*height) / 2
Pi(diameter)
V=l×w×h

10. the measure of a straight angle
180°
Reciprocal
180
The set of elements found in both A and B.

11. Time
75:11
Diameter(Pi)
EVEN
(distance)/(rate) d/r

12. Evaluate 3& 2/7 / 1/3
12! / 5!7! = 792
3 - 4 - 5
90
9 & 6/7

13. In a rectangle - all angles are
The union of A and B.
360°
Right
A reflection about the origin.

14. What is the graph of f(x) shifted downward c units or spaces?
5
angle that is greater than 90° but less than 180°
F(x) - c
7 / 1000

15. Perfect Squares 1-15
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
16.6666%
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The set of elements found in both A and B.

16. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
Diameter(Pi)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10

17. How to recognize a # as a multiple of 9
Every number
The shortest arc between points A and B on a circle'S diameter.
The sum of the digits is a multiple of 9.
Do not have slopes!

18. An Angle that'S 180°
Undefined
Straight Angle
5 OR -5
Triangles with same measure and same side lengths.

19. What is the slope of a horizontal line?
55%
Positive or Negative
Lies opposite the greater angle
0

20. The reciprocal of any non-zero #x is
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.
52
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1/x

21. What is the name for a grouping of the members within a set based on a shared characteristic?
(rate)(time) d=rt
A subset.
F(x-c)
(2x7)³

22. binomial product of (x-y)²
6 : 1 : 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(x+y)(x-y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

23. 4.809 X 10^7 =
.0004809 X 10^11
The point of intersection of the systems.
Do not have slopes!
Ø=P(E)=1

24. 0^0
Undefined
Even prime number
An is positive
(n-2) x 180

25. Convert 0.7% to a fraction.
2^9 / 2 = 256
A = pi(r^2)
360°
7 / 1000

26. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
360°
71 - 73 - 79
A subset.
2^9 / 2 = 256

27. How to recognize a # as a multiple of 4
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.)
9
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(x+y)(x-y)

28. How to find the circumference of a circle which circumscribes a square?
90
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
P=4s (s=side)
288 (8 9 4)

29. What is a percent?
Sector area = (n/360) X (pi)r^2
A percent is a fraction whose denominator is 100.
Sum of digits is a multiple of 3 and the last digit is even.
The direction of the inequality is reversed.

30. What is the measure of an exterior angle of a regular pentagon?
The set of input values for a function.
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.)
A= (1/2) b*h
72

31. x^4 + x^7 =
5
x²-y²
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...
x^(4+7) = x^11

32. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
441000 = 1 10 10 10 21 * 21
180°
The interesection of A and B.

33. What is the graph of f(x) shifted right c units or spaces?
B?b?b (where b is used as a factor n times)
A grouping of the members within a set based on a shared characteristic.
F(x-c)
Even

34. The consecutive angles in a parallelogram equal
3
Parallelogram
A percent is a fraction whose denominator is 100.
180°

35. Define a 'monomial'
Infinite.
Pi(diameter)
A-b is negative
An expression with just one term (-6x - 2a^2)

36. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A set with no members - denoted by a circle with a diagonal through it.
$11 -448
62.5%
Smallest positive integer

37. Obtuse Angle
angle that is greater than 90° but less than 180°
90pi
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

38. What are the real numbers?
C = 2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x²-2xy+y²
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)

39. 1/Ø=null If a>b then
x^(6-3) = x^3
360°
Diameter(Pi)
A<-b

40. A number is divisible by 6 if...
Every number
Sum of digits is a multiple of 3 and the last digit is even.
Its divisible by 2 and by 3.
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.)

41. formula for the volume of a cube
angle that is greater than 90° but less than 180°
V=side³
1/a^6
(x+y)(x-y)

42. a^2 - b^2
4.25 - 6 - 22
(a - b)(a + b)
5 OR -5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

43. What does scientific notation mean?
10! / 3!(10-3)! = 120
y = 2x^2 - 3
P= 2L + 2w
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

44. What is the order of operations?
The set of elements which can be found in either A or B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

45. Evaluate 4/11 + 11/12
A-b is negative
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 & 37/132
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

46. What is the 'Solution' for a set of inequalities.
(a + b)^2
Factors are few - multiples are many.
The overlapping sections.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. The ratio of the areas of two similar polygons is ...
Every number
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The direction of the inequality is reversed.
... the square of the ratios of the corresponding sides.

48. The negative exponent x?n is equivalent to what?
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.)
1
180 degrees
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

49. 1n
A= (1/2) b*h
1
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

50. If a<b - then
Undefined
Move the decimal point to the right x places
A+c<b+c
1