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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. The reciprocal of any non-zero #x is
P(E) = number of favorable outcomes/total number of possible outcomes
Even
1/x
A 30-60-90 triangle.

2. What is the ratio of the sides of a 30-60-90 triangle?
x - x(SR3) - 2x
ODD number
1:sqrt3:2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

3. If an inequality is multiplied or divided by a negative number....
1/2 times 7/3
The sum of digits is divisible by 9.
The direction of the inequality is reversed.
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

4. Circumference of a circle
Pi(diameter)
2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Every number

5. What are the real numbers?
zero
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)
True
x^(4+7) = x^11

6. The negative exponent x?n is equivalent to what?
Lies opposite the greater angle
Reciprocal
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
ODD number

7. 3 is the opposite of
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
3
Null
130pi

8. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Relationship cannot be determined (what if x is negative?)
an angle that is less than 90°
Be Zero!

9. What is the 'Solution' for a system of linear equations?
Be Zero!
The point of intersection of the systems.
Negative
Positive

10. 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?
3/2 - 5/3
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)
D=rt so r= d/t and t=d/r
y = 2x^2 - 3

11. What is a subset?
Add them. i.e. (5^7) * (5^3) = 5^10
A grouping of the members within a set based on a shared characteristic.
The steeper the slope.
3/2 - 5/3

12. 60 < all primes <70
Pi is the ratio of a circle'S circumference to its diameter.
Positive or Negative
Negative
61 - 67

13. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
62.5%
1/x
28
12! / 5!7! = 792

14. 25/2³
D/t (distance)/(time)
2²
5
87.5%

15. How to recognize a # as a multiple of 3
12sqrt2
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)
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
1

16. 1/8 in percent?
y = 2x^2 - 3
12.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The greatest value minus the smallest.

17. 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
1.0843 X 10^11
87.5%
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
18

18. What are the rational numbers?
130pi
4a^2(b)
3/2 - 5/3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

19. Convert 0.7% to a fraction.
71 - 73 - 79
7 / 1000
The longest arc between points A and B on a circle'S diameter.
(a - b)^2

20. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A subset.
3 - -3
A=(base)(height)

21. 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?
3/2 - 5/3
52
62.5%
1

22. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Subtract them. i.e (5^7)/(5^3)= 5^4
Null

23. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Pi is the ratio of a circle'S circumference to its diameter.
(a - b)^2
P= 2L + 2w

24. In any polygon - all external angles equal up to
An arc is a portion of a circumference of a circle.
An expression with just one term (-6x - 2a^2)
8
360°

25. Legs 5 - 12. Hypotenuse?
x^(6-3) = x^3
(rate)(time) d=rt
11 - 13 - 17 - 19
13

26. binomial product of (x-y)²
6
Two (Ø×2=Ø)
(x+y)(x-y)
70

27. Evaluate 4/11 + 11/12
87.5%
12.5%
180 degrees
1 & 37/132

28. Pythagorean theorem
Indeterminable.
(a + b)^2
A²+b²=c²
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.)

29. What is the graph of f(x) shifted upward c units or spaces?
The sum of digits is divisible by 9.
F(x) + c
1
52

30. What is the name for a grouping of the members within a set based on a shared characteristic?
P= 2L + 2w
A subset.
10
A set with a number of elements which can be counted.

31. What is the set of elements which can be found in either A or B?
The union of A and B.
F(x) - c
4.25 - 6 - 22
1 & 37/132

32. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
72
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The second graph is less steep.
2 & 3/7

33. What is a percent?
A percent is a fraction whose denominator is 100.
72
The point of intersection of the systems.
71 - 73 - 79

34. Solve the quadratic equation ax^2 + bx + c= 0
360/n
9 & 6/7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a + b)^2

35. Legs 6 - 8. Hypotenuse?
31 - 37
x²-2xy+y²
10
3x - 4x - 5x

36. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
288 (8 9 4)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
5
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

37. 25^(1/2) or sqrt. 25 =
Ab+ac
5 OR -5
Ø
1/x

38. Volume of a rectangular solid
A-b is positive
(length)(width)(height)
71 - 73 - 79
x²+2xy+y²

39. x^2 = 9. What is the value of x?
3 - -3
Positive
62.5%
C = (pi)d

40. Probability of E not occurring:
The set of input values for a function.
1 - P(E)
The longest arc between points A and B on a circle'S diameter.
A-b is negative

41. What are the smallest three prime numbers greater than 65?
Right
67 - 71 - 73
0
12! / 5!7! = 792

42. (2²)³
The shortest arc between points A and B on a circle'S diameter.
... the square of the ratios of the corresponding sides.
26
angle that is greater than 90° but less than 180°

43. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Its divisible by 2 and by 3.
6
28. n = 8 - k = 2. n! / k!(n-k)!
x²+2xy+y²

44. 1 is a divisor of
Sector area = (n/360) X (pi)r^2
Every number
Positive or Negative
The empty set - denoted by a circle with a diagonal through it.

45. The perimeter of a square is 48 inches. The length of its diagonal is:
(rate)(time) d=rt
Even
12sqrt2
D/t (distance)/(time)

46. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The second graph is less steep.
4725
90
F(x) - c

47. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
An arc is a portion of a circumference of a circle.
8
F(x-c)
P(E) = ø

48. What are 'Supplementary angles?'
Two angles whose sum is 180.
8
3
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

49. bn
23 - 29
B?b?b (where b is used as a factor n times)
A+c<b+c
(a - b)^2

50. The product of any number x and its reciprocal
1
A grouping of the members within a set based on a shared characteristic.
x^(2(4)) =x^8 = (x^4)^2
Be Zero!