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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. Acute Angle
13pi / 2
A subset.
N! / (k!)(n-k)!
an angle that is less than 90°

2. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
1
Sector area = (n/360) X (pi)r^2
3

3. What are 'Supplementary angles?'
All numbers multiples of 1.
The greatest value minus the smallest.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Two angles whose sum is 180.

4. The sum of all angles around a point
Ø
Reciprocal
360°
67 - 71 - 73

5. What is the 'Range' of a function?
3 - 4 - 5
The set of output values for a function.
EVEN
Even

6. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
.0004809 X 10^11
The second graph is less steep.
26
N! / (n-k)!

7. Describe the relationship between the graphs of x^2 and (1/2)x^2
Be Zero!
The sum of the digits is a multiple of 9.
The second graph is less steep.
A = length x width

8. What is the 'Solution' for a system of linear equations?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P(E) = 1/1 = 1
The point of intersection of the systems.

9. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Negative
2 & 3/7
Every number
28. n = 8 - k = 2. n! / k!(n-k)!

10. Rate
0
(a + b)^2
D/t (distance)/(time)
A grouping of the members within a set based on a shared characteristic.

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
x - x+1 - x+2
18
D/t (distance)/(time)
A=½bh

12. a<b then a - b is positive or negative?
Factors are few - multiples are many.
A-b is negative
180
x^(2(4)) =x^8 = (x^4)^2

13. Reduce: 4.8 : 0.8 : 1.6
(a - b)(a + b)
6 : 1 : 2
Ab+ac
12.5%

14. P and r are factors of 100. What is greater - pr or 100?
(length)(width)(height)
x - x+1 - x+2
Indeterminable.
(x+y)(x-y)

15. What is the order of operations?
(pi)r²
The direction of the inequality is reversed.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A multiple of every integer

16. formula for volume of a rectangular solid
V=l×w×h
Move the decimal point to the right x places
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
D/t (distance)/(time)

17. Area of a rectangle
90
A = length x width
A central angle is an angle formed by 2 radii.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

18. 30 60 90
Sector area = (n/360) X (pi)r^2
A = length x width
(a - b)(a + b)
3 - 4 - 5

19. Formula for the area of a circle?
A reflection about the origin.
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)
A = pi(r^2)
A set with no members - denoted by a circle with a diagonal through it.

20. factored binomial product of (x+y)²
83.333%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²+2xy+y²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

21. 50 < all primes< 60
x - x+1 - x+2
Every number
Distance=rate×time or d=rt
53 - 59

22. How to recognize a # as a multiple of 3
37.5%
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)
1
Even prime number

23. a^2 - b^2
C=2 x pi x r OR pi x D
Positive
(a - b)(a + b)
1:1:sqrt2

24. The product of any number x and its reciprocal
1
ODD number
Two equal sides and two equal angles.
5 OR -5

25. Any Horizontal line slope
3 - 4 - 5
180
(pi)r²
zero

26. 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)?
4096
C=2 x pi x r OR pi x D
y = (x + 5)/2
Move the decimal point to the right x places

27. In a Regular Polygon - the measure of each exterior angle
360/n
180°
All numbers multiples of 1.
Sector area = (n/360) X (pi)r^2

28. Dividing by a number is the same as multiplying it by its
The second graph is less steep.
2 & 3/7
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)
Reciprocal

29. 25^(1/2) or sqrt. 25 =
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
5 OR -5
x - x(SR3) - 2x
Ab=k (k is a constant)

30. 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?
2.592 kg
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
27^(-4)
8

31. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
75:11
4.25 - 6 - 22
An expression with just one term (-6x - 2a^2)

32. Evaluate 4/11 + 11/12
A=(base)(height)
Lies opposite the greater angle
The greatest value minus the smallest.
1 & 37/132

33. -3³
Pi is the ratio of a circle'S circumference to its diameter.
(length)(width)(height)
27
Can be negative - zero - or positive

34. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
(n-2) x 180
The greatest value minus the smallest.
70
441000 = 1 10 10 10 21 * 21

35. Evaluate (4^3)^2
F(x-c)
4096
18
Straight Angle

36. Slope of any line that goes up from left to right
Positive
1
Straight Angle
1

37. For any number x
an angle that is less than 90°
Can be negative - zero - or positive
The greatest value minus the smallest.
y = 2x^2 - 3

38. What are the integers?
75:11
All numbers multiples of 1.
The set of elements which can be found in either A or B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

39. What is the ratio of the sides of a 30-60-90 triangle?
Ø Ø=Ø
1:sqrt3:2
Undefined - because we can'T divide by 0.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

40. What are the roots of the quadrinomial x^2 + 2x + 1?
A subset.
70
The two xes after factoring.
A set with a number of elements which can be counted.

41. 1 is a divisor of
Ab+ac
A multiple of every integer
Every number
The steeper the slope.

42. Probability of an Event
6
P(E) = number of favorable outcomes/total number of possible outcomes
An arc is a portion of a circumference of a circle.
A 30-60-90 triangle.

43. 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))?
F(x + c)
y = 2x^2 - 3
Infinite.
20.5

44. What is a tangent?
A=pi*(r^2)
M= (Y1-Y2)/(X1-X2)
A tangent is a line that only touches one point on the circumference of a circle.
Negative

45. What are the real numbers?
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)
N! / (n-k)!
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)
Ab-ac

46. To decrease a number by x%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4725
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The shortest arc between points A and B on a circle'S diameter.

47. Ø is
C = 2(pi)r
Even
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
an angle that is less than 90°

48. Formula to find a circle'S circumference from its diameter?
Two equal sides and two equal angles.
C = (pi)d
Ø
(amount of decrease/original price) x 100%

49. 1/2 divided by 3/7 is the same as
Ø
28
1/2 times 7/3
x - x(SR3) - 2x

50. The only number that is equal to its opposite
70
Ø Ø=Ø
Even
The point of intersection of the systems.