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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. For any number x
x²-2xy+y²
Can be negative - zero - or positive
28. n = 8 - k = 2. n! / k!(n-k)!
y2-y1/x2-x1

2. Area of a circle
(pi)r²
(p + q)/5
A percent is a fraction whose denominator is 100.
An isosceles right triangle.

3. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3
P(E) = number of favorable outcomes/total number of possible outcomes

4. What is a set with no members called?
Two equal sides and two equal angles.
48
The empty set - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2

5. binomial product of (x+y)²
500
(x+y)(x+y)
Distance=rate×time or d=rt
An angle which is supplementary to an interior angle.

6. What is the name of set with a number of elements which cannot be counted?
The union of A and B.
An infinite set.
(a + b)^2
Right

7. How to find the circumference of a circle which circumscribes a square?
Straight Angle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An arc is a portion of a circumference of a circle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

8. The product of odd number of negative numbers
The steeper the slope.
Negative
x²-2xy+y²
P= 2L + 2w

9. 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?
x - x+1 - x+2
x²-2xy+y²
x^(6-3) = x^3
y = 2x^2 - 3

10. What is the measure of an exterior angle of a regular pentagon?
$11 -448
An infinite set.
130pi
72

11. How many multiples does a given number have?
Infinite.
1.0843 X 10^11
A grouping of the members within a set based on a shared characteristic.
27^(-4)

12. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
48
3
1/2 times 7/3
The empty set - denoted by a circle with a diagonal through it.

13. What is the graph of f(x) shifted downward c units or spaces?
5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12.5%
F(x) - c

14. Ø divided by 7
13pi / 2
Ø
x^(6-3) = x^3
A multiple of every integer

15. 30< all primes<40
The direction of the inequality is reversed.
31 - 37
1:sqrt3:2
1

16. the slope of a line in y=mx+b
(a - b)(a + b)
67 - 71 - 73
0
M

17. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
5 OR -5
Subtract them. i.e (5^7)/(5^3)= 5^4
12sqrt2
13pi / 2

18. (a^-1)/a^5
1/a^6
N! / (n-k)!
N! / (k!)(n-k)!
288 (8 9 4)

19. What is a chord of a circle?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2.592 kg
A chord is a line segment joining two points on a circle.
Sector area = (n/360) X (pi)r^2

20. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x(x - y + 1)
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)

21. The reciprocal of any non-zero number is
7 / 1000
360/n
An arc is a portion of a circumference of a circle.
1/x

22. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
Yes - like radicals can be added/subtracted.
The objects within a set.
The overlapping sections.

23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

24. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative
An infinite set.

25. 7 divided by Ø
Null
Be Zero!
Two equal sides and two equal angles.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

26. Positive integers that have exactly 2 positive divisors are
C = (pi)d
500
Right
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

27. What is an exterior angle?
Parallelogram
(x+y)(x-y)
Relationship cannot be determined (what if x is negative?)
An angle which is supplementary to an interior angle.

28. What is the empty set?
1 - P(E)
(amount of decrease/original price) x 100%
180°
A set with no members - denoted by a circle with a diagonal through it.

29. Area of a triangle?
The set of output values for a function.
5 - 12 - 13
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(base*height) / 2

30. Ø is a multiple of
Arc length = (n/360) x pi(2r) where n is the number of degrees.
500
Every number
Diameter(Pi)

31. x^4 + x^7 =
(amount of decrease/original price) x 100%
P=2(l+w)
x^(4+7) = x^11
D/t (distance)/(time)

32. If a product of two numbers is Ø - one number must be
F(x + c)
1:sqrt3:2
Ø
The second graph is less steep.

33. What is the graph of f(x) shifted left c units or spaces?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
48
F(x + c)
Ab+ac

34. Circumference of a circle
(distance)/(rate) d/r
2(pi)r
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The empty set - denoted by a circle with a diagonal through it.

35. Simplify the expression [(b^2 - c^2) / (b - c)]
31 - 37
A = pi(r^2)
(b + c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

36. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
360/n
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A reflection about the axis.
180 degrees

37. 70 < all primes< 80
71 - 73 - 79
The direction of the inequality is reversed.
(pi)r²
180

38. Formula to find a circle'S circumference from its diameter?
C = (pi)d
180°
Cd
Ø

39. Rate
28
D/t (distance)/(time)
A grouping of the members within a set based on a shared characteristic.
(amount of decrease/original price) x 100%

40. Probability of Event all cases
13
Ø=P(E)=1
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
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

41. How to recognize a # as a multiple of 3
62.5%
An angle which is supplementary to an interior angle.
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
y = 2x^2 - 3

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
28. n = 8 - k = 2. n! / k!(n-k)!
An angle which is supplementary to an interior angle.
Pi(diameter)

43. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The overlapping sections.
A = pi(r^2)
71 - 73 - 79

44. Perimeter of a rectangle
10! / 3!(10-3)! = 120
M= (Y1-Y2)/(X1-X2)
2
P= 2L + 2w

45. Ø is a multiple of
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x²-2xy+y²
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.)
Two (Ø×2=Ø)

46. What are the roots of the quadrinomial x^2 + 2x + 1?
9 & 6/7
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The two xes after factoring.
An infinite set.

47. In a Rectangle - each angles measures
90°
The objects within a set.
72
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. 1/8 in percent?
x^(4+7) = x^11
The point of intersection of the systems.
12.5%
5 OR -5

49. Solve the quadratic equation ax^2 + bx + c= 0
V=side³
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ab-ac
EVEN

50. 20<all primes<30
Ø
= (actual decrease/Original amount) x 100%
180°
23 - 29

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GRE Math: All In One

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