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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. What are the integers?
The overlapping sections.
All numbers multiples of 1.
Negative
83.333%

2. Area of a Parallelogram:
P=2(l+w)
6
N! / (k!)(n-k)!
A=(base)(height)

3. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4725
360°
1.7
1

4. Ø is a multiple of
(base*height) / 2
P=2(l+w)
A+c<b+c
Two (Ø×2=Ø)

5. a^2 - 2ab + b^2
A central angle is an angle formed by 2 radii.
Negative
(a - b)^2
y = (x + 5)/2

6. 30 60 90
3
Edge³
x - x(SR3) - 2x
A set with a number of elements which can be counted.

7. The sum of all angles around a point
180
x²-y²
Ø
360°

8. For any number x
Can be negative - zero - or positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A-b is positive
27^(-4)

9. Ø is
180°
The sum of its digits is divisible by 3.
A multiple of every integer
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...

10. Volume of a cube
1
180°
P=2(l+w)
Edge³

11. Which is greater? 64^5 or 16^8
2^9 / 2 = 256
The sum of the digits is a multiple of 9.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ø Ø=Ø

12. When multiplying exponential #s with the same base - you do this to the exponents...
A+c<b+c
A grouping of the members within a set based on a shared characteristic.
A=pi*(r^2)
Add them. i.e. (5^7) * (5^3) = 5^10

13. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A=½bh
Ab=k (k is a constant)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
An isosceles right triangle.

14. binomial product of (x-y)²
180
0
Null
(x+y)(x-y)

15. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Lies opposite the greater angle
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø=P(E)=1
2

16. Define a 'monomial'
2sqrt6
A=(base)(height)
y/x is a constant
An expression with just one term (-6x - 2a^2)

17. What is the side length of an equilateral triangle with altitude 6?
Even prime number
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...
130pi
(rate)(time) d=rt

18. The negative exponent x?n is equivalent to what?
18
Negative
Sum of digits is a multiple of 3 and the last digit is even.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

19. Volume of a rectangular solid
(length)(width)(height)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
26

20. the measure of a straight angle
61 - 67
180°
Members or elements
0

21. The sum of the measures of the n angles in a polygon with n sides
9 & 6/7
(n-2) x 180
Parallelogram
No - only like radicals can be added.

22. What is the ratio of the sides of a 30-60-90 triangle?
P(E) = ø
3
12.5%
1:sqrt3:2

23. What is the empty set?
P(E) = ø
Ø
A set with no members - denoted by a circle with a diagonal through it.
2.592 kg

24. 1 is an
The steeper the slope.
Ab=k (k is a constant)
6 : 1 : 2
ODD number

25. 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?
288 (8 9 4)
Lies opposite the greater angle
An infinite set.
441000 = 1 10 10 10 21 * 21

26. 50 < all primes< 60
9
180°
53 - 59
Pi is the ratio of a circle'S circumference to its diameter.

27. (x+y)²
An angle which is supplementary to an interior angle.
A=½bh
3x - 4x - 5x
x²+2xy+y²

28. Factor a^2 + 2ab + b^2
Every number
A=pi*(r^2)
(a + b)^2
V=l×w×h

29. The perimeter of a square is 48 inches. The length of its diagonal is:
Ø
52
12sqrt2
37.5%

30. Legs 6 - 8. Hypotenuse?
Its divisible by 2 and by 3.
10
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
Reciprocal

31. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A = length x width
x^(4+7) = x^11
An expression with just one term (-6x - 2a^2)

32. b¹
Do not have slopes!
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
41 - 43 - 47

33. 1/2 divided by 3/7 is the same as
An expression with just one term (-6x - 2a^2)
1/2 times 7/3
No - only like radicals can be added.
V=side³

34. The objects in a set are called two names:
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
2²

35. formula for distance problems
Distance=rate×time or d=rt
27
3 - -3
A reflection about the axis.

36. a(b-c)
Ab-ac
zero
Positive
53 - 59

37. The product of odd number of negative numbers
Negative
2.592 kg
Ø
(a - b)^2

38. Number of degrees in a triangle
180
A = length x width
The set of output values for a function.
A = pi(r^2)

39. 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?
F(x + c)
x^(4+7) = x^11
N! / (k!)(n-k)!
x(x - y + 1)

40. What are the real numbers?
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)
F(x + c)
37.5%
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.)

41. To multiply a number by 10^x
P=2(l+w)
Move the decimal point to the right x places
83.333%
Negative

42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Relationship cannot be determined (what if x is negative?)
$11 -448
x^(6-3) = x^3
28

43. Obtuse Angle
Infinite.
(amount of decrease/original price) x 100%
y = 2x^2 - 3
angle that is greater than 90° but less than 180°

44. Pi is a ratio of what to what?

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45. 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?
3 - -3
3
N! / (n-k)!
A-b is positive

46. What are the members or elements of a set?
3x - 4x - 5x
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P=2(l+w)
The objects within a set.

47. What is the 'domain' of a function?
C = (pi)d
The set of input values for a function.
71 - 73 - 79
A set with a number of elements which can be counted.

48. Convert 0.7% to a fraction.
7 / 1000
The sum of its digits is divisible by 3.
... the square of the ratios of the corresponding sides.
$11 -448

49. 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
A=(base)(height)
Relationship cannot be determined (what if x is negative?)
3x - 4x - 5x

50. 1n
A=pi*(r^2)
1
An arc is a portion of a circumference of a circle.
x²-y²