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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. What is the 'domain' of a function?
Subtract them. i.e (5^7)/(5^3)= 5^4
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
The set of input values for a function.
ODD number

2. What is the graph of f(x) shifted right c units or spaces?
1.7
The set of elements which can be found in either A or B.
X
F(x-c)

3. (x-y)²
x²-2xy+y²
72
True
288 (8 9 4)

4. 60 < all primes <70
10! / (10-3)! = 720
13pi / 2
61 - 67
62.5%

5. What are the rational numbers?
P= 2L + 2w
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A=½bh

6. x^6 / x^3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Relationship cannot be determined (what if x is negative?)
N! / (n-k)!
x^(6-3) = x^3

7. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Reciprocal
28. n = 8 - k = 2. n! / k!(n-k)!
27
28

8. Formula to calculate arc length?
4.25 - 6 - 22
N! / (k!)(n-k)!
26
Arc length = (n/360) x pi(2r) where n is the number of degrees.

9. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(rate)(time) d=rt
A = length x width
6
An isosceles right triangle.

10. the measure of a straight angle
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
441000 = 1 10 10 10 21 * 21
An isosceles right triangle.
180°

11. Slope of any line that goes down as you move from left to right is
The empty set - denoted by a circle with a diagonal through it.
A percent is a fraction whose denominator is 100.
Infinite.
Negative

12. Time
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
52
x - x+1 - x+2
(distance)/(rate) d/r

13. Simplify the expression (p^2 - q^2)/ -5(q - p)
0
9
(p + q)/5
A²+b²=c²

14. To increase a number by x%
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.
An isosceles right triangle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

15. How many sides does a hexagon have?
Factors are few - multiples are many.
6
180 degrees
V=side³

16. What is the 'Range' of a function?
A-b is positive
12sqrt2
The set of output values for a function.
(rate)(time) d=rt

17. Define an 'expression'.
1.0843 X 10^11
Do not have slopes!
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)
Its divisible by 2 and by 3.

18. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
NOT A PRIME
A reflection about the axis.
zero

19. What is the area of a regular hexagon with side 6?
A chord is a line segment joining two points on a circle.
The sum of the digits is a multiple of 9.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x²-y²

20. formula for volume of a rectangular solid
C=2 x pi x r OR pi x D
V=l×w×h
(a + b)^2
(length)(width)(height)

21. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
(length)(width)(height)
N! / (n-k)!
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A=½bh

22. The sum of all angles around a point
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
28
Be Zero!
360°

23. 1/6 in percent?
Subtract them. i.e (5^7)/(5^3)= 5^4
16.6666%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Do not have slopes!

24. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
F(x) + c
2^9 / 2 = 256
27^(-4)
288 (8 9 4)

25. What is the set of elements which can be found in either A or B?
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø
The union of A and B.

26. What is the 'Solution' for a set of inequalities.
4096
3/2 - 5/3
Do not have slopes!
The overlapping sections.

27. 10^6 has how many zeroes?
37.5%
x(x - y + 1)
6
N! / (n-k)!

28. Area of a Parallelogram:
x^(6-3) = x^3
.0004809 X 10^11
A=(base)(height)
87.5%

29. If a is positive - an is
x²-y²
Positive
C = 2(pi)r
(b + c)

30. Probability of Event all cases
(n-2) x 180
The set of elements found in both A and B.
180°
Ø=P(E)=1

31. 30 60 90
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x²-y²
3 - 4 - 5
(a - b)(a + b)

32. What are the irrational numbers?

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33. (x+y)²
x^(4+7) = x^11
The sum of digits is divisible by 9.
x²+2xy+y²
A central angle is an angle formed by 2 radii.

34. What is the sum of the angles of a triangle?
180 degrees
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
3
500

35. Number of degrees in a triangle
Diameter(Pi)
180
A subset.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

36. What is a set with no members called?
Positive
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
90

37. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
y2-y1/x2-x1
(length)(width)(height)
N! / (n-k)!

38. -3²
8
6
180 degrees
9

39. 30< all primes<40
31 - 37
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)
83.333%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

40. What is a major arc?

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41. Pi is a ratio of what to what?

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42. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
An arc is a portion of a circumference of a circle.
True
1
Reciprocal

43. Which is greater? 200x^295 or 10x^294?
13pi / 2
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.
20.5

44. 50 < all primes< 60
53 - 59
26
1/2 times 7/3
5

45. For any number x
Can be negative - zero - or positive
P=2(l+w)
True
70

46. 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)?
N! / (k!)(n-k)!
83.333%
y = (x + 5)/2
9 & 6/7

47. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
55%
1
1

48. -3³
5
Smallest positive integer
27
(b + c)

49. Consecutive integers
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The shortest arc between points A and B on a circle'S diameter.
x - x+1 - x+2
1

50. The product of any number x and its reciprocal
360/n
12! / 5!7! = 792
1
41 - 43 - 47