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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. The objects in a set are called two names:
Members or elements
1.0843 X 10^11
500
1

2. Obtuse Angle
angle that is greater than 90° but less than 180°
x²-2xy+y²
Ø Ø=Ø
The empty set - denoted by a circle with a diagonal through it.

3. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
41 - 43 - 47
An isosceles right triangle.
8

4. An Angle that'S 180°
(x+y)(x-y)
Straight Angle
The point of intersection of the systems.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

5. 40 < all primes<50
41 - 43 - 47
The set of elements which can be found in either A or B.
P=2(l+w)
V=l×w×h

6. The only number that is equal to its opposite
A central angle is an angle formed by 2 radii.
Lies opposite the greater angle
The overlapping sections.
Ø Ø=Ø

7. x^4 + x^7 =
3x - 4x - 5x
Members or elements
x^(4+7) = x^11
1:1:sqrt2

8. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
(2x7)³
71 - 73 - 79
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2 & 3/7

9. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
27^(-4)
72
13
A reflection about the axis.

10. 3/8 in percent?
The objects within a set.
(p + q)/5
37.5%
12! / 5!7! = 792

11. 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
Indeterminable.
1
62.5%

12. Product of any number and Ø is
Ø
2(pi)r
D/t (distance)/(time)
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.

13. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1
A<-b
1
3

14. If a is inversely porportional to b - what does it equal?
Positive or Negative
Ab=k (k is a constant)
Ø Ø=Ø
A²+b²=c²

15. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
55%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90
Ab=k (k is a constant)

16. a>b then a - b is positive or negative?
C = 2(pi)r
A-b is positive
Ø
A=½bh

17. b¹
2^9 / 2 = 256
Pi is the ratio of a circle'S circumference to its diameter.
1
y = 2x^2 - 3

18. Simplify the expression [(b^2 - c^2) / (b - c)]
26
(p + q)/5
(b + c)
A set with a number of elements which can be counted.

19. (2²)³
180°
90°
26
27

20. 10<all primes<20
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
11 - 13 - 17 - 19
Edge³

21. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Positive
70
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.)
12.5%

22. Legs: 3 - 4. Hypotenuse?
Pi(diameter)
An is positive
5
(length)(width)(height)

23. What is a subset?
72
A percent is a fraction whose denominator is 100.
A grouping of the members within a set based on a shared characteristic.
ODD number

24. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Yes - like radicals can be added/subtracted.
3
28
1:sqrt3:2

25. -3³
D=rt so r= d/t and t=d/r
y = (x + 5)/2
5 OR -5
27

26. What are the irrational numbers?

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27. The larger the absolute value of the slope...
y/x is a constant
The steeper the slope.
500
Negative

28. The consecutive angles in a parallelogram equal
A = length x width
The interesection of A and B.
4.25 - 6 - 22
180°

29. Ø²
The sum of the digits is a multiple of 9.
90pi
Ø
9

30. 1 is the
75:11
Smallest positive integer
2
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)

31. 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?
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2.592 kg
(base*height) / 2

32. 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?
y = 2x^2 - 3
P(E) = 1/1 = 1
P(E) = ø
Even prime number

33. a/Ø
P= 2L + 2w
A grouping of the members within a set based on a shared characteristic.
Add them. i.e. (5^7) * (5^3) = 5^10
Null

34. a^2 + 2ab + b^2
(a + b)^2
The sum of digits is divisible by 9.
Members or elements
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

35. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
A tangent is a line that only touches one point on the circumference of a circle.
2^9 / 2 = 256
The empty set - denoted by a circle with a diagonal through it.
Move the decimal point to the right x places

36. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
zero
Ø
Diameter(Pi)

37. (x^2)^4
The set of input values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(2(4)) =x^8 = (x^4)^2
x^(4+7) = x^11

38. The Denominator can never
2
Two equal sides and two equal angles.
Be Zero!
8

39. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
10! / (10-3)! = 720
1:sqrt3:2

40. What is the surface area of a cylinder with radius 5 and height 8?
x²+2xy+y²
130pi
1/2 times 7/3
180°

41. If an inequality is multiplied or divided by a negative number....
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)
Ø
The direction of the inequality is reversed.
3x - 4x - 5x

42. Distance
A = pi(r^2)
Move the decimal point to the right x places
(rate)(time) d=rt
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

43. In any polygon - all external angles equal up to
(rate)(time) d=rt
Move the decimal point to the right x places
360°
The set of output values for a function.

44. Ø is
Even
A natural number greater than 1 that has no positive divisors other than 1 and itself
x^(4+7) = x^11
(rate)(time) d=rt

45. binomial product of (x+y)(x-y)
x²-y²
9 : 25
Distance=rate×time or d=rt
26

46. 25+2³
28
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)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
360°

47. Is 0 even or odd?
Even
Yes - like radicals can be added/subtracted.
The direction of the inequality is reversed.
A=pi*(r^2)

48. factored binomial product of (x-y)²
Infinite.
x²-2xy+y²
41 - 43 - 47
9 : 25

49. Probability of an Event
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
90pi
A chord is a line segment joining two points on a circle.
P(E) = number of favorable outcomes/total number of possible outcomes

50. Ø divided by 7
6
Undefined - because we can'T divide by 0.
3 - 4 - 5
Ø

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GRE Math: All In One

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