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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. a^2 - b^2 =
27
3 - 4 - 5
(a - b)(a + b)
1

2. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4725
The set of output values for a function.
P(E) = ø

3. Volume of a cube
Edge³
NOT A PRIME
An expression with just one term (-6x - 2a^2)
500

4. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
23 - 29
1

5. If a is positive - an is
P(E) = ø
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
70
Positive

6. binomial product of (x-y)²
A reflection about the origin.
(x+y)(x-y)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
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...

7. Ø divided by 7
12! / 5!7! = 792
4.25 - 6 - 22
Ø
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

8. The Perimeter of a rectangle
N! / (k!)(n-k)!
x(x - y + 1)
P=2(l+w)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

9. What is the 'union' of A and B?
$3 -500 in the 9% and $2 -500 in the 7%.
The set of elements which can be found in either A or B.
A = pi(r^2)
Ab+ac

10. Ø Is neither
6 : 1 : 2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Two equal sides and two equal angles.
Positive or Negative

11. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1:1:sqrt2
The shortest arc between points A and B on a circle'S diameter.
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.

12. In a Regular Polygon - the measure of each exterior angle
72
360/n
A set with a number of elements which can be counted.
1 & 37/132

13. What is an arc of a circle?
1 & 37/132
2(pi)r
The point of intersection of the systems.
An arc is a portion of a circumference of a circle.

14. How many multiples does a given number have?
Infinite.
3
16.6666%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

15. bn
Right
B?b?b (where b is used as a factor n times)
P=4s (s=side)
The set of elements found in both A and B.

16. Ø Is
31 - 37
EVEN
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)

17. formula for area of a triangle
P(E) = ø
A=½bh
500
180°

18. The Perimeter of a Square
Every number
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)
x²-y²
P=4s (s=side)

19. (2²)³
10! / 3!(10-3)! = 120
26
130pi
1.7

20. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Lies opposite the greater angle
3 - -3
12! / 5!7! = 792

21. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
EVEN
Cd
Ab-ac
$11 -448

22. 30 60 90
X
V=l×w×h
5 - 12 - 13
(amount of decrease/original price) x 100%

23. What number between 70 & 75 - inclusive - has the greatest number of factors?
A reflection about the axis.
12! / 5!7! = 792
9 : 25
72

24. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
M= (Y1-Y2)/(X1-X2)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
V=Lwh

25. -3²
C = 2(pi)r
9
180°
6 : 1 : 2

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2 & 3/7
A reflection about the axis.
Every number

27. What is the surface area of a cylinder with radius 5 and height 8?
x^(4+7) = x^11
130pi
1:sqrt3:2
F(x) + c

28. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
y = 2x^2 - 3
288 (8 9 4)
A= (1/2) b*h
1

29. First 10 prime #s
(a - b)^2
27
Two angles whose sum is 90.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

30. x^2 = 9. What is the value of x?
5 OR -5
3 - -3
A = length x width
An angle which is supplementary to an interior angle.

31. Any Horizontal line slope
Cd
13
Even prime number
zero

32. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
37.5%
Ø
12! / 5!7! = 792
10

33. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A multiple of every integer
1

34. Find the surface area of a cylinder with radius 3 and height 12.
Ø
The set of elements which can be found in either A or B.
90pi
48

35. 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.
11 - 13 - 17 - 19
an angle that is less than 90°
72

36. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
D/t (distance)/(time)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

37. 2 is the only
Even prime number
1 - P(E)
The empty set - denoted by a circle with a diagonal through it.
.0004809 X 10^11

38. Volume of a rectangular box
87.5%
(a - b)^2
V=Lwh
Positive

39. What is a subset?
The overlapping sections.
Undefined
(b + c)
A grouping of the members within a set based on a shared characteristic.

40. What is the maximum value for the function g(x) = (-2x^2) -1?
x - x(SR3) - 2x
360°
A+c<b+c
1

41. If a lamp increases from $80 to $100 - what is the percent increase?
(2x7)³
Indeterminable.
The interesection of A and B.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

42. How do you solve proportions? a/b=c/d
9 & 6/7
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
500
A = pi(r^2)

43. How to recognize a # as a multiple of 4
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)
6
2 & 3/7
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.)

44. 50 < all primes< 60
The set of input values for a function.
A chord is a line segment joining two points on a circle.
53 - 59
Reciprocal

45. a^0 =
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23 - 29
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1

46. Convert 0.7% to a fraction.
90°
130pi
7 / 1000
180°

47. (x+y)²
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.)
The set of input values for a function.
A reflection about the axis.
x²+2xy+y²

48. Evaluate 3& 2/7 / 1/3
3
EVEN
x(x - y + 1)
9 & 6/7

49. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
71 - 73 - 79
(x+y)(x-y)
(distance)/(rate) d/r

50. Simplify the expression [(b^2 - c^2) / (b - c)]
13
EVEN
180°
(b + c)