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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. 1n
5 - 12 - 13
The set of output values for a function.
Straight Angle
1

2. 3 is the opposite of
(x+y)(x+y)
180
Ø
3

3. What is a central angle?
(a - b)(a + b)
A central angle is an angle formed by 2 radii.
5 OR -5
12sqrt2

4. Simplify (a^2 + b)^2 - (a^2 - b)^2
P=2(l+w)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
N! / (k!)(n-k)!
4a^2(b)

5. What is a subset?
(rate)(time) d=rt
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A grouping of the members within a set based on a shared characteristic.
Relationship cannot be determined (what if x is negative?)

6. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Sector area = (n/360) X (pi)r^2
130pi
4:5
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)

7. Acute Angle
x(x - y + 1)
12! / 5!7! = 792
90pi
an angle that is less than 90°

8. Formula for the area of a circle?
A subset.
A = pi(r^2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2

9. 3/8 in percent?
Ø
x²+2xy+y²
37.5%
67 - 71 - 73

10. For any number x
Can be negative - zero - or positive
A reflection about the axis.
0
N! / (n-k)!

11. A number is divisible by 4 is...
Its last two digits are divisible by 4.
3x - 4x - 5x
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!

12. formula for area of a triangle
x(x - y + 1)
A-b is positive
A=½bh
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

13. When does a function automatically have a restricted domain (2)?
P=4s (s=side)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1/a^6
(pi)r²

14. If a is positive - an is
ODD number
(2x7)³
Positive
Ø

15. The important properties of a 45-45-90 triangle?
The set of output values for a function.
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.
Add them. i.e. (5^7) * (5^3) = 5^10
180

16. Ø²
Ø
Subtract them. i.e (5^7)/(5^3)= 5^4
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
10! / (10-3)! = 720

17. What percent of 40 is 22?
Ab+ac
55%
The greatest value minus the smallest.
The sum of the digits is a multiple of 9.

18. (a^-1)/a^5
1/a^6
A=½bh
83.333%
P(E) = ø

19. Solve the quadratic equation ax^2 + bx + c= 0
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.
12! / 5!7! = 792
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

20. Ø is
A set with a number of elements which can be counted.
(n-2) x 180
Ø=P(E)=1
A multiple of every integer

21. 2³×7³
y/x is a constant
The second graph is less steep.
M
(2x7)³

22. What are complementary angles?
A tangent is a line that only touches one point on the circumference of a circle.
1
Every number
Two angles whose sum is 90.

23. Define a 'Term' -
The longest arc between points A and B on a circle'S diameter.
x²-y²
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)
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.

24. 20<all primes<30
23 - 29
Ø
(length)(width)(height)
Null

25. What are the integers?
All numbers multiples of 1.
A²+b²=c²
angle that is greater than 90° but less than 180°
83.333%

26. One is (a prime or not?)
180
NOT A PRIME
F(x-c)
The two xes after factoring.

27. 5/8 in percent?
The direction of the inequality is reversed.
2^9 / 2 = 256
62.5%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

28. Which is greater? 27^(-4) or 9^(-8)
1:sqrt3:2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
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
27^(-4)

29. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
288 (8 9 4)
A set with a number of elements which can be counted.
67 - 71 - 73

30. If a is negative and n is even then an is (positive or negative?)
1/a^6
180
An is positive
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
1/x
x - x(SR3) - 2x
$11 -448

32. Positive integers that have exactly 2 positive divisors are
(base*height) / 2
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Yes - like radicals can be added/subtracted.

33. Important properties of a 30-60-90 triangle?
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
500
Ab=k (k is a constant)
9

34. 1 is a divisor of
x²-y²
(2x7)³
Every number
1/x

35. What is the 'Range' of a function?
A reflection about the origin.
1/x
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of output values for a function.

36. Consecutive integers
Members or elements
11 - 13 - 17 - 19
x - x+1 - x+2
C = (pi)d

37. What is the name of set with a number of elements which cannot be counted?
Positive
P=4s (s=side)
An infinite set.
(rate)(time) d=rt

38. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
83.333%
75:11
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)
9 : 25

39. What is the ratio of the sides of a 30-60-90 triangle?
3/2 - 5/3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
16.6666%
1:sqrt3:2

40. Formula for the area of a sector of a circle?
360/n
.0004809 X 10^11
Sector area = (n/360) X (pi)r^2
360°

41. 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)]?
3 - -3
(amount of decrease/original price) x 100%
True
The empty set - denoted by a circle with a diagonal through it.

42. What is the set of elements which can be found in either A or B?
The union of A and B.
90°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Indeterminable.

43. 2 is the only
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Even prime number
The union of A and B.
Every number

44. How many multiples does a given number have?
Infinite.
The set of elements found in both A and B.
Null
Undefined

45. 1 is an
Ø Ø=Ø
0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
ODD number

46. If Event is impossible
P(E) = ø
... the square of the ratios of the corresponding sides.
5 OR -5
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.)

47. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
41 - 43 - 47
A reflection about the origin.
X

48. (x-y)²
A²+b²=c²
x²-2xy+y²
A reflection about the origin.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

49. Evaluate (4^3)^2
Indeterminable.
12.5%
4096
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

50. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Parallelogram
F(x) + c
1

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GRE Math: All In One

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