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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 name of set with a number of elements which cannot be counted?
An infinite set.
180°
A grouping of the members within a set based on a shared characteristic.
(a - b)(a + b)

2. What is the set of elements found in both A and B?
The interesection of A and B.
1/x
The set of output values for a function.
360/n

3. What is the order of operations?
10
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
52
12sqrt2

4. 60 < all primes <70
11 - 13 - 17 - 19
Undefined
angle that is greater than 90° but less than 180°
61 - 67

5. If a product of two numbers is Ø - one number must be
4a^2(b)
An arc is a portion of a circumference of a circle.
Ø
10! / (10-3)! = 720

6. What is the 'Range' of a function?
A natural number greater than 1 that has no positive divisors other than 1 and itself
1/x
The set of output values for a function.
90pi

7. If the two sides of a triangle are unequal then the longer side.................
A reflection about the origin.
Lies opposite the greater angle
Ø
P(E) = ø

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
C = 2(pi)r
(p + q)/5
31 - 37
EVEN

9. How to recognize a # as a multiple of 3
An isosceles right triangle.
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 - P(E)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

10. 3 is the opposite of
4725
360°
3
An infinite set.

11. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
$11 -448
The steeper the slope.
Straight Angle

12. The reciprocal of any non-zero number is
V=Lwh
(pi)r²
1/x
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

13. If a lamp increases from $80 to $100 - what is the percent increase?
The union of A and B.
Ab+ac
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x²-2xy+y²

14. 5/6 in percent?
12sqrt2
F(x-c)
83.333%
75:11

15. To decrease a number by x%
Pi(diameter)
Every number
Triangles with same measure and same side lengths.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

16. How to recognize if a # is a multiple of 12
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.)
x^(6-3) = x^3
Triangles with same measure and same side lengths.
C = 2(pi)r

17. The product of any number x and its reciprocal
90pi
1
(base*height) / 2
70

18. What is a minor arc?

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19. Describe the relationship between 3x^2 and 3(x - 1)^2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A set with a number of elements which can be counted.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
P=4s (s=side)

20. factored binomial product of (x+y)²
$11 -448
x²+2xy+y²
Yes - like radicals can be added/subtracted.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

21. What is the slope of a horizontal line?
All numbers multiples of 1.
Indeterminable.
0
A chord is a line segment joining two points on a circle.

22. Which is greater? 27^(-4) or 9^(-8)
x^(4+7) = x^11
P=2(l+w)
27^(-4)
(distance)/(rate) d/r

23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7
1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

24. What is the set of elements which can be found in either A or B?
The union of A and B.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Reciprocal
(amount of decrease/original price) x 100%

25. formula for the volume of a cube
V=side³
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1 & 37/132
Sum of digits is a multiple of 3 and the last digit is even.

26. Define a 'monomial'
9 & 6/7
An expression with just one term (-6x - 2a^2)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Pi(diameter)

27. If E is certain
P(E) = 1/1 = 1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A=½bh
The sum of its digits is divisible by 3.

28. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
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)
0
P(E) = 1/1 = 1

29. 30 60 90
A<-b
EVEN
5 - 12 - 13
87.5%

30. What is the ratio of the sides of a 30-60-90 triangle?
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)
C = 2(pi)r
1:sqrt3:2
Ø

31. Circumference of a circle
Ø
.0004809 X 10^11
7 / 1000
Pi(diameter)

32. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
A set with a number of elements which can be counted.
N! / (k!)(n-k)!
B?b?b (where b is used as a factor n times)

33. Pythagorean theorem
A²+b²=c²
41 - 43 - 47
V=side³
11 - 13 - 17 - 19

34. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
4a^2(b)
Cd
(rate)(time) d=rt

35. a(b-c)
y2-y1/x2-x1
Ab-ac
A percent is a fraction whose denominator is 100.
4.25 - 6 - 22

36. Circumference of a circle?
360°
Diameter(Pi)
x^(2(4)) =x^8 = (x^4)^2
A²+b²=c²

37. x^2 = 9. What is the value of x?
12! / 5!7! = 792
4a^2(b)
3 - -3
1/x

38. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
75:11
x^(2(4)) =x^8 = (x^4)^2
13pi / 2
F(x + c)

39. 7 divided by Ø
360/n
Null
180
A+c<b+c

40. 1/6 in percent?
16.6666%
.0004809 X 10^11
Cd
90

41. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Ø
A=½bh
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

42. 25+2³
28
1:sqrt3:2
The set of elements which can be found in either A or B.
A = length x width

43. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
A central angle is an angle formed by 2 radii.
4096
1/x

44. 30< all primes<40
(a - b)(a + b)
31 - 37
Sector area = (n/360) X (pi)r^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

45. How many sides does a hexagon have?
An isosceles right triangle.
Even
6
20.5

46. 8.84 / 5.2
F(x) + c
1.7
Relationship cannot be determined (what if x is negative?)
2.592 kg

47. 50 < all primes< 60
Even
All numbers multiples of 1.
A²+b²=c²
53 - 59

48. What is a major arc?

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49. Area of a triangle?
83.333%
(a + b)^2
A grouping of the members within a set based on a shared characteristic.
(base*height) / 2

50. Area of a rectangle
18
A = length x width
D=rt so r= d/t and t=d/r
(a + b)^2