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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>b then a - b is positive or negative?
The steeper the slope.
9 : 25
A-b is positive
x²-2xy+y²

2. How to find the circumference of a circle which circumscribes a square?
10! / 3!(10-3)! = 120
An isosceles right triangle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

3. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
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)
Positive or Negative
2^9 / 2 = 256
The greatest value minus the smallest.

4. 0^0
1/x
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
53 - 59
Undefined

5. Slope
y2-y1/x2-x1
A percent is a fraction whose denominator is 100.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

6. 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))?
72
Smallest positive integer
20.5
A=½bh

7. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
0
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)
.0004809 X 10^11

8. Ø is a multiple of
Two (Ø×2=Ø)
A+c<b+c
Ø Ø=Ø
1:1:sqrt2

9. 1/Ø=null If a>b then
Pi(diameter)
The point of intersection of the systems.
A= (1/2) b*h
A<-b

10. The important properties of a 45-45-90 triangle?
x²+2xy+y²
A set with a number of elements which can be counted.
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.
72

11. 1 is a divisor of
Every number
= (actual decrease/Original amount) x 100%
3x - 4x - 5x
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

12. What are the integers?
A²+b²=c²
The set of elements which can be found in either A or B.
12sqrt2
All numbers multiples of 1.

13. Rate
D/t (distance)/(time)
83.333%
= (actual decrease/Original amount) x 100%
Subtract them. i.e (5^7)/(5^3)= 5^4

14. Define an 'expression'.
Even
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)
(base*height) / 2
A-b is negative

15. 30 60 90
Null
V=l×w×h
The empty set - denoted by a circle with a diagonal through it.
x - x(SR3) - 2x

16. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1/2 times 7/3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
4a^2(b)

17. What is the slope of a vertical line?

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18. How many sides does a hexagon have?
5 OR -5
(2x7)³
3 - 4 - 5
6

19. Ø divided by 7
True
Null
Ø
EVEN

20. Distance
(rate)(time) d=rt
A-b is negative
The sum of the digits is a multiple of 9.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

21. A prime number (or a prime)
Diameter(Pi)
52
A natural number greater than 1 that has no positive divisors other than 1 and itself
Even prime number

22. What is the side length of an equilateral triangle with altitude 6?
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...
Every number
2 & 3/7
No - only like radicals can be added.

23. 7 divided by Ø
an angle that is less than 90°
Two equal sides and two equal angles.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null

24. binomial product of (x+y)²
130pi
6 : 1 : 2
No - only like radicals can be added.
(x+y)(x+y)

25. For any number x
1/x
52
Can be negative - zero - or positive
2^9 / 2 = 256

26. What is a major arc?

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27. 25+2³
28. n = 8 - k = 2. n! / k!(n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
B?b?b (where b is used as a factor n times)
28

28. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
52
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4725
A=pi*(r^2)

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
360°
F(x) + c
180°
Cd

30. Ø²
A natural number greater than 1 that has no positive divisors other than 1 and itself
P(E) = ø
Ø
180

31. If Event is impossible
P(E) = ø
The set of elements which can be found in either A or B.
27
N! / (k!)(n-k)!

32. How many multiples does a given number have?
Even
2^9 / 2 = 256
Infinite.
26

33. What is the set of elements which can be found in either A or B?
The union of A and B.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
C=2 x pi x r OR pi x D
Members or elements

34. What is the maximum value for the function g(x) = (-2x^2) -1?
1
The sum of the digits is a multiple of 9.
Add them. i.e. (5^7) * (5^3) = 5^10
55%

35. Ø is a multiple of
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
y2-y1/x2-x1
10! / 3!(10-3)! = 120
Every number

36. Probability of Event all cases
M= (Y1-Y2)/(X1-X2)
Ø=P(E)=1
Ø
11 - 13 - 17 - 19

37. Area of a rectangle
True
A = length x width
2.592 kg
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

38. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
Add them. i.e. (5^7) * (5^3) = 5^10
130pi
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

39. Evaluate 3& 2/7 / 1/3
360°
9 & 6/7
(length)(width)(height)
A=(base)(height)

40. 1 is an
180°
1 - P(E)
ODD number
Negative

41. The product of odd number of negative numbers
D/t (distance)/(time)
Reciprocal
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Negative

42. What percent of 40 is 22?
P(E) = ø
4725
1
55%

43. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
Ø Ø=Ø
53 - 59
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

44. Area of a triangle
13pi / 2
A= (1/2) b*h
Be Zero!
9

45. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
3
x²-y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1

46. 4.809 X 10^7 =
.0004809 X 10^11
A percent is a fraction whose denominator is 100.
$11 -448
Cd

47. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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.
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)

48. (2²)³
y = 2x^2 - 3
26
(x+y)(x+y)
Sum of digits is a multiple of 3 and the last digit is even.

49. a^2 - b^2 =
x - x+1 - x+2
(a - b)(a + b)
Distance=rate×time or d=rt
(amount of decrease/original price) x 100%

50. Is 0 even or odd?
Even
9
angle that is greater than 90° but less than 180°
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

Can you answer 50 questions in 15 minutes?

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GRE Math: All In One

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