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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 is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
61 - 67
Lies opposite the greater angle
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.)
2

2. What is the 'Range' of a function?
x²-2xy+y²
288 (8 9 4)
zero
The set of output values for a function.

3. 1/Ø=null If a>b then
A<-b
an angle that is less than 90°
4:5
10

4. An Angle that'S 180°
1:1:sqrt2
90°
Straight Angle
x²-2xy+y²

5. Dividing by a number is the same as multiplying it by its
Reciprocal
A central angle is an angle formed by 2 radii.
6
M= (Y1-Y2)/(X1-X2)

6. When dividing exponential #s with the same base - you do this to the exponents...
NOT A PRIME
Null
Subtract them. i.e (5^7)/(5^3)= 5^4
A=(base)(height)

7. Which is greater? 27^(-4) or 9^(-8)
27^(-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)
1 - P(E)
2(pi)r

8. Ø Is
1:sqrt3:2
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...
EVEN
1

9. What are the irrational numbers?

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10. 60 < all primes <70
1
61 - 67
75:11
Positive or Negative

11. To decrease a number by x%
The empty set - denoted by a circle with a diagonal through it.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
26
5 - 12 - 13

12. How to recognize if a # is a multiple of 12
11 - 13 - 17 - 19
(rate)(time) d=rt
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.)
x²+2xy+y²

13. How to find the circumference of a circle which circumscribes a square?
The objects within a set.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ø=P(E)=1

14. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
True
M

15. Evaluate 4/11 + 11/12
1 & 37/132
y/x is a constant
(pi)r²
The union of A and B.

16. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
18
Ø
(a - b)(a + b)

17. binomial product of (x-y)²
(x+y)(x-y)
x - x(SR3) - 2x
Relationship cannot be determined (what if x is negative?)
C = 2(pi)r

18. In a rectangle - all angles are
Right
Even
Ø
180°

19. a(b-c)
41 - 43 - 47
16.6666%
Triangles with same measure and same side lengths.
Ab-ac

20. Describe the relationship between 3x^2 and 3(x - 1)^2
(2x7)³
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A=½bh

21. What is the measure of an exterior angle of a regular pentagon?
Undefined - because we can'T divide by 0.
13pi / 2
NOT A PRIME
72

22. If Event is impossible
an angle that is less than 90°
P(E) = ø
The second graph is less steep.
Indeterminable.

23. 30 60 90
3x - 4x - 5x
1 - P(E)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.0843 X 10^11

24. What is the 'Solution' for a set of inequalities.
(pi)r²
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)
The overlapping sections.
Be Zero!

25. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
16.6666%
The sum of digits is divisible by 9.
180 degrees
70

26. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12sqrt2
A reflection about the axis.
$11 -448

27. 25+2³
28
Infinite.
10! / (10-3)! = 720
A central angle is an angle formed by 2 radii.

28. How to determine percent decrease?
(amount of decrease/original price) x 100%
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x^(4+7) = x^11

29. What is the maximum value for the function g(x) = (-2x^2) -1?
x^(4+7) = x^11
1
16.6666%
6

30. formula for the volume of a cube
Ab-ac
A=pi*(r^2)
V=side³
Two equal sides and two equal angles.

31. 3 is the opposite of
Subtract them. i.e (5^7)/(5^3)= 5^4
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
2²
3

32. 1/2 divided by 3/7 is the same as
Distance=rate×time or d=rt
2
1/x
1/2 times 7/3

33. x^2 = 9. What is the value of x?
3 - -3
A=½bh
Right
C = 2(pi)r

34. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Reciprocal
441000 = 1 10 10 10 21 * 21

35. Factor a^2 + 2ab + b^2
(a + b)^2
EVEN
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
A-b is negative

36. Rate
An arc is a portion of a circumference of a circle.
72
D/t (distance)/(time)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

37. 40 < all primes<50
Factors are few - multiples are many.
41 - 43 - 47
Negative
4:5

38. Slope given 2 points
2^9 / 2 = 256
M= (Y1-Y2)/(X1-X2)
A²+b²=c²
Pi(diameter)

39. Whats the difference between factors and multiples?
Factors are few - multiples are many.
37.5%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Parallelogram

40. 5/8 in percent?
62.5%
All numbers multiples of 1.
Its divisible by 2 and by 3.
4725

41. 10<all primes<20
360°
4a^2(b)
11 - 13 - 17 - 19
P=4s (s=side)

42. One is (a prime or not?)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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...
NOT A PRIME

43. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Ab-ac
Add them. i.e. (5^7) * (5^3) = 5^10
28. n = 8 - k = 2. n! / k!(n-k)!
True

44. What is the slope of a vertical line?

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45. a^2 - 2ab + b^2
(a - b)^2
x(x - y + 1)
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
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

46. How to recognize a # as a multiple of 4
(a - b)^2
ODD number
Even
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.)

47. A number is divisible by 9 if...
The sum of digits is divisible by 9.
P(E) = 1/1 = 1
360°
(distance)/(rate) d/r

48. b¹
x²-2xy+y²
A grouping of the members within a set based on a shared characteristic.
V=side³
1

49. Probability of E not occurring:
1 - P(E)
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
y = 2x^2 - 3
5 - 12 - 13

50. The sum of all angles around a point
1 - P(E)
360°
3x - 4x - 5x
4096