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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.
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 are the irrational numbers?
18
x^(6-3) = x^3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/2 times 7/3

2. 20<all primes<30
8
23 - 29
26
27

3. Find the surface area of a cylinder with radius 3 and height 12.
2 & 3/7
90pi

2(pi)r

4. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
71 - 73 - 79
Undefined - because we can'T divide by 0.
1:sqrt3:2

5. 0^0
Undefined
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
41 - 43 - 47
360/n

6. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
1

3/2 - 5/3

7. The objects in a set are called two names:
x(x - y + 1)
A = length x width
Members or elements
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

8. P and r are factors of 100. What is greater - pr or 100?
Straight Angle
Indeterminable.
(x+y)(x-y)
70

9. binomial product of (x+y)
The set of elements which can be found in either A or B.
12.5%
(x+y)(x+y)
Even

10. What is the graph of f(x) shifted left c units or spaces?
All numbers multiples of 1.
The two xes after factoring.
F(x + c)
D=rt so r= d/t and t=d/r

11. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Distance=ratetime or d=rt
441000 = 1 10 10 10 21 * 21
... the square of the ratios of the corresponding sides.

12. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
Positive
V=lwh
The union of A and B.

13. the slope of a line in y=mx+b
F(x) - c
1:1:sqrt2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
M

14. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Even
48
Parallelogram
10! / 3!(10-3)! = 120

15. How to determine percent decrease?
Undefined - because we can'T divide by 0.
All numbers multiples of 1.
70
(amount of decrease/original price) x 100%

16. 50 < all primes< 60
y = 2x^2 - 3
Ab-ac
53 - 59
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

17. What is the side length of an equilateral triangle with altitude 6?
180
An angle which is supplementary to an interior angle.
(a + b)^2
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...

18. 40 < all primes<50
3
41 - 43 - 47
N! / (k!)(n-k)!
... the square of the ratios of the corresponding sides.

19. In a rectangle - all angles are
No - only like radicals can be added.
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
Right
Ab=k (k is a constant)

20. Acute Angle
An isosceles right triangle.

x(x - y + 1)
an angle that is less than 90

21. What is a set with no members called?
F(x) - c
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.)
angle that is greater than 90 but less than 180
The empty set - denoted by a circle with a diagonal through it.

22. 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
500
1
61 - 67

23. What is an arc of a circle?
Every number
M
An arc is a portion of a circumference of a circle.
Two (2=)

24. How to recognize a # as a multiple of 4
Do not have slopes!
V=Lwh
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.)
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)

25. 60 < all primes <70
16.6666%
X
61 - 67
83.333%

26. 25+2
11 - 13 - 17 - 19
(rate)(time) d=rt
10! / (10-3)! = 720
28

27. What is an isoceles triangle?
Right
2sqrt6
Two equal sides and two equal angles.
(amount of decrease/original price) x 100%

28. Circumference of a circle
2(pi)r
0
Positive
(b + c)

29. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
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.)
2^9 / 2 = 256
Straight Angle
Positive

30. Legs 5 - 12. Hypotenuse?
13
x - x(SR3) - 2x
53 - 59
360

31. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A multiple of every integer
An expression with just one term (-6x - 2a^2)
A reflection about the axis.
Positive or Negative

32. If a lamp increases from $80 to $100 - what is the percent increase?
A=(base)(height)
4.25 - 6 - 22
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
P=4s (s=side)

33. What is the 'Range' of a function?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x-2xy+y
The set of output values for a function.
5

34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
P=2(l+w)
360
Relationship cannot be determined (what if x is negative?)
A 30-60-90 triangle.

35. 2 is the only
x - x+1 - x+2
Even prime number
Even
The two xes after factoring.

36. How to recognize a multiple of 6
1/x
A reflection about the axis.
Sum of digits is a multiple of 3 and the last digit is even.
72

37. Which is greater? 200x^295 or 10x^294?
x-2xy+y
Relationship cannot be determined (what if x is negative?)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a - b)(a + b)

38. 4.809 X 10^7 =
P(E) = 1/1 = 1
.0004809 X 10^11

(amount of decrease/original price) x 100%

39. What is the area of a regular hexagon with side 6?
72
P=4s (s=side)
The interesection of A and B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

40. Find distance when given time and rate
A-b is negative
D=rt so r= d/t and t=d/r
The sum of its digits is divisible by 3.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

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?
The union of A and B.
52
3
Undefined

42. Whats the difference between factors and multiples?
Factors are few - multiples are many.
The direction of the inequality is reversed.
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)
(rate)(time) d=rt

43. What are the members or elements of a set?
x-2xy+y
The objects within a set.
V=lwh
An expression with just one term (-6x - 2a^2)

44. A number is divisible by 4 is...
72
y/x is a constant
180
Its last two digits are divisible by 4.

45. Simplify the expression (p^2 - q^2)/ -5(q - p)
1
(p + q)/5
75:11
1/a^6

46. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
6
An isosceles right triangle.
31 - 37

47. 3/8 in percent?
P=4s (s=side)
A = pi(r^2)
Right
37.5%

48. What is an exterior angle?
(a - b)^2
8

An angle which is supplementary to an interior angle.

49. A number is divisible by 6 if...
1.7
= (actual decrease/Original amount) x 100%
Negative
Its divisible by 2 and by 3.

50. Is 0 even or odd?
1.7
Even
Move the decimal point to the right x places
5 - 12 - 13

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