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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. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
A multiple of every integer
52
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

2. A number is divisible by 6 if...
A = pi(r^2)
Its divisible by 2 and by 3.
(rate)(time) d=rt
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. Which is greater? 64^5 or 16^8
1:1:sqrt2
Every number
5 OR -5
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

4. -3³
27
A chord is a line segment joining two points on a circle.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
360°

5. 5/6 in percent?
83.333%
Reciprocal
V=side³
N! / (n-k)!

6. Area of a circle
13pi / 2
The set of input values for a function.
1
(pi)r²

7. Define an 'expression'.
The sum of digits is divisible by 9.
N! / (n-k)!
F(x) + c
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)

8. How many multiples does a given number have?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Right
x^(2(4)) =x^8 = (x^4)^2
Infinite.

9. If y is directly proportional to x - what does it equal?
an angle that is less than 90°
1
Two angles whose sum is 180.
y/x is a constant

10. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
angle that is greater than 90° but less than 180°
1:1:sqrt2
1/a^6
20.5

11. What are the integers?
All numbers multiples of 1.
(a + b)^2
62.5%
3 - 4 - 5

12. 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?
The two xes after factoring.
P(E) = number of favorable outcomes/total number of possible outcomes
y = 2x^2 - 3
F(x-c)

13. What are the real numbers?
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)
F(x + c)
53 - 59
B?b?b (where b is used as a factor n times)

14. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Two angles whose sum is 90.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2sqrt6
3x - 4x - 5x

15. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A percent is a fraction whose denominator is 100.
Relationship cannot be determined (what if x is negative?)

16. If Event is impossible
N! / (n-k)!
90°
3
P(E) = ø

17. binomial product of (x+y)(x-y)
13pi / 2
A-b is negative
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x²-y²

18. (2²)³
61 - 67
26
The set of elements which can be found in either A or B.
(n-2) x 180

19. Formula to calculate arc length?
Its last two digits are divisible by 4.
Distance=rate×time or d=rt
Arc length = (n/360) x pi(2r) where n is the number of degrees.
23 - 29

20. The reciprocal of any non-zero #x is
Yes - like radicals can be added/subtracted.
M= (Y1-Y2)/(X1-X2)
1/x
500

21. (x-y)²
Two (Ø×2=Ø)
(distance)/(rate) d/r
12.5%
x²-2xy+y²

22. Ø is a multiple of
3/2 - 5/3
Every number
13pi / 2
F(x + c)

23. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
5 OR -5
(a - b)(a + b)
18

24. What are the irrational numbers?

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25. Can you add sqrt 3 and sqrt 5?
53 - 59
A set with no members - denoted by a circle with a diagonal through it.
No - only like radicals can be added.
1:1:sqrt2

26. 30< all primes<40
31 - 37
D=rt so r= d/t and t=d/r
Can be negative - zero - or positive
67 - 71 - 73

27. Circumference of a circle?
C=2 x pi x r OR pi x D
Diameter(Pi)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10

28. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
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=½bh
72
13pi / 2

29. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
3
angle that is greater than 90° but less than 180°
X

30. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
y = 2x^2 - 3
4.25 - 6 - 22
x²-2xy+y²
Two (Ø×2=Ø)

31. bn
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
B?b?b (where b is used as a factor n times)
x²-y²
3/2 - 5/3

32. The percent decrease of a quantity
13pi / 2
Move the decimal point to the right x places
An infinite set.
= (actual decrease/Original amount) x 100%

33. Area of a triangle
x²-2xy+y²
12sqrt2
A= (1/2) b*h
The set of elements found in both A and B.

34. 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.
Indeterminable.
52
9 : 25

35. Circumference of a Circle
C=2 x pi x r OR pi x D
1/2 times 7/3
10
3x - 4x - 5x

36. The objects in a set are called two names:
Members or elements
An arc is a portion of a circumference of a circle.
1:sqrt3:2
Ø

37. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The set of input values for a function.
x²+2xy+y²
9
4:5

38. formula for the volume of a cube
1/x
V=side³
x²-2xy+y²
$3 -500 in the 9% and $2 -500 in the 7%.

39. What is the measure of an exterior angle of a regular pentagon?
72
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1:sqrt3:2
(x+y)(x-y)

40. factored binomial product of (x-y)²
A 30-60-90 triangle.
x - x+1 - x+2
(pi)r²
x²-2xy+y²

41. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
An infinite set.
Null
Sector area = (n/360) X (pi)r^2
52

42. 30 60 90
A percent is a fraction whose denominator is 100.
x - x(SR3) - 2x
12sqrt2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

43. Write 10 -843 X 10^7 in scientific notation
28. n = 8 - k = 2. n! / k!(n-k)!
1.0843 X 10^11
A-b is negative
x²-y²

44. Simplify (a^2 + b)^2 - (a^2 - b)^2
500
Reciprocal
52
4a^2(b)

45. 25+2³
48
A tangent is a line that only touches one point on the circumference of a circle.
The direction of the inequality is reversed.
28

46. Factor x^2 - xy + x.
x(x - y + 1)
A grouping of the members within a set based on a shared characteristic.
27^(-4)
4:5

47. 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)?
zero
The set of input values for a function.
Infinite.
y = (x + 5)/2

48. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
72
180 degrees
2.592 kg
180°

49. Area of a rectangle
Can be negative - zero - or positive
A = length x width
(pi)r²
16.6666%

50. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
2.592 kg
x²-y²
y = (x + 5)/2

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GRE Math: All In One

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