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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. 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)]?
A 30-60-90 triangle.
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.)
The steeper the slope.
True

2. The objects in a set are called two names:
1/a^6
Members or elements
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

3. 8.84 / 5.2
N! / (n-k)!
1.7
31 - 37
The sum of its digits is divisible by 3.

4. a(b-c)
2
Ab-ac
Can be negative - zero - or positive
True

5. What is the name of set with a number of elements which cannot be counted?
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)
An infinite set.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2.592 kg

6. Describe the relationship between 3x^2 and 3(x - 1)^2
18
(a - b)(a + b)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The greatest value minus the smallest.

7. x^6 / x^3
Its last two digits are divisible by 4.
x^(6-3) = x^3
4:5
75:11

8. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A reflection about the origin.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Sector area = (n/360) X (pi)r^2
1

9. What is a tangent?
360°
A tangent is a line that only touches one point on the circumference of a circle.
(length)(width)(height)
180°

10. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
P(E) = ø
P=4s (s=side)

11. Formula to find a circle'S circumference from its radius?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Negative
C = 2(pi)r
(pi)r²

12. 3 is the opposite of
Positive
3
Edge³
(b + c)

13. 1 is the
x²+2xy+y²
10! / (10-3)! = 720
Smallest positive integer
A 30-60-90 triangle.

14. 1/2 divided by 3/7 is the same as
6
N! / (k!)(n-k)!
A= (1/2) b*h
1/2 times 7/3

15. Ø Is neither
Positive or Negative
4:5
1
1

16. Legs 5 - 12. Hypotenuse?
13
EVEN
71 - 73 - 79
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

17. 5/6 in percent?
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.
P(E) = number of favorable outcomes/total number of possible outcomes
83.333%
70

18. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
The set of output values for a function.
3
7 / 1000

19. Evaluate (4^3)^2
Positive or Negative
4096
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(n-2) x 180

20. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The second graph is less steep.
70
B?b?b (where b is used as a factor n times)

21. If y is directly proportional to x - what does it equal?
87.5%
6
y/x is a constant
Smallest positive integer

22. Legs 6 - 8. Hypotenuse?
P(E) = 1/1 = 1
10
11 - 13 - 17 - 19
A-b is negative

23. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
Members or elements
10! / 3!(10-3)! = 120
72

24. Pi is a ratio of what to what?

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25. Find distance when given time and rate
1/x
360°
D=rt so r= d/t and t=d/r
The second graph is less steep.

26. Dividing by a number is the same as multiplying it by its
Straight Angle
3 - 4 - 5
Reciprocal
28. n = 8 - k = 2. n! / k!(n-k)!

27. 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?
27
52
10
1

28. What are the real numbers?
x²-2xy+y²
12.5%
A=(base)(height)
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)

29. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
1/a^6
An isosceles right triangle.
Ø
Be Zero!

30. a(b+c)
y2-y1/x2-x1
Ab+ac
Yes - like radicals can be added/subtracted.
3 - 4 - 5

31. Probability of Event all cases
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.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ø=P(E)=1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

32. 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.
The union of A and B.
3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. binomial product of (x+y)²
5 - 12 - 13
A subset.
The empty set - denoted by a circle with a diagonal through it.
(x+y)(x+y)

34. Ø divided by 7
Parallelogram
Undefined
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ø

35. If E is certain
Triangles with same measure and same side lengths.
83.333%
x²+2xy+y²
P(E) = 1/1 = 1

36. Which is greater? 200x^295 or 10x^294?
16.6666%
Indeterminable.
55%
Relationship cannot be determined (what if x is negative?)

37. If a lamp increases from $80 to $100 - what is the percent increase?
Two equal sides and two equal angles.
Parallelogram
Ab=k (k is a constant)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

38. Probability of E not occurring:
Even
1 - P(E)
$11 -448
71 - 73 - 79

39. A number is divisible by 4 is...
Its last two digits are divisible by 4.
2(pi)r
3
48

40. What is the 'Solution' for a set of inequalities.
Smallest positive integer
The overlapping sections.
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)
An is positive

41. P and r are factors of 100. What is greater - pr or 100?
The set of elements which can be found in either A or B.
Ab+ac
y = (x + 5)/2
Indeterminable.

42. Which is greater? 64^5 or 16^8
No - only like radicals can be added.
Add them. i.e. (5^7) * (5^3) = 5^10
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

43. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
5 OR -5
x²+2xy+y²
18

44. formula for volume of a rectangular solid
10! / 3!(10-3)! = 120
Factors are few - multiples are many.
V=l×w×h
X

45. Slope of any line that goes up from left to right
(p + q)/5
Positive
A central angle is an angle formed by 2 radii.
500

46. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Ø
180 degrees
V=side³

47. How many sides does a hexagon have?
Undefined
Indeterminable.
P(E) = 1/1 = 1
6

48. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Members or elements
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)
12! / 5!7! = 792

49. When does a function automatically have a restricted domain (2)?
3
180
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The union of A and B.

50. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
53 - 59
Positive or Negative
70
Be Zero!