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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. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
x²-2xy+y²
4.25 - 6 - 22
Cd
A set with a number of elements which can be counted.

2. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Two angles whose sum is 90.
10! / 3!(10-3)! = 120
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

3. The negative exponent x?n is equivalent to what?
Every number
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
3
180°

4. Ø²
Ø
1/2 times 7/3
.0004809 X 10^11
= (actual decrease/Original amount) x 100%

5. What is the ratio of the sides of an isosceles right triangle?
2
The sum of the digits is a multiple of 9.
1:1:sqrt2
Diameter(Pi)

6. Legs 6 - 8. Hypotenuse?
7 / 1000
Do not have slopes!
10
1 & 37/132

7. Area of a circle
An expression with just one term (-6x - 2a^2)
A=pi*(r^2)
P(E) = number of favorable outcomes/total number of possible outcomes
D/t (distance)/(time)

8. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
3
2 & 3/7
(a - b)(a + b)

9. How many sides does a hexagon have?
The set of elements found in both A and B.
The steeper the slope.
6
x^(2(4)) =x^8 = (x^4)^2

10. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
180°
1/2 times 7/3
V=Lwh

11. What is a finite set?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A set with a number of elements which can be counted.
180
441000 = 1 10 10 10 21 * 21

12. Circumference of a circle
A set with a number of elements which can be counted.
A+c<b+c
2(pi)r
48

13. Circumference of a circle
The union of A and B.
All numbers multiples of 1.
Pi(diameter)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

14. Factor x^2 - xy + x.
x(x - y + 1)
1 - P(E)
A-b is positive
Reciprocal

15. 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?
441000 = 1 10 10 10 21 * 21
The interesection of A and B.
3x - 4x - 5x
Null

16. What is a major arc?

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17. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
360°
(b + c)
$11 -448
A set with no members - denoted by a circle with a diagonal through it.

18. x^2 = 9. What is the value of x?
1.0843 X 10^11
3 - -3
Distance=rate×time or d=rt
A-b is negative

19. What is the graph of f(x) shifted upward c units or spaces?
(a - b)^2
F(x) + c
F(x-c)
x²+2xy+y²

20. 1 is a divisor of
Every number
V=side³
Ab+ac
Undefined

21. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
41 - 43 - 47
72
C = 2(pi)r

22. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
N! / (n-k)!
1

23. What is the ratio of the sides of a 30-60-90 triangle?
20.5
48
The steeper the slope.
1:sqrt3:2

24. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
13
Positive or Negative
x^(4+7) = x^11

25. 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
= (actual decrease/Original amount) x 100%
180 degrees
Sum of digits is a multiple of 3 and the last digit is even.

26. The ratio of the areas of two similar polygons is ...
Positive
(base*height) / 2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
... the square of the ratios of the corresponding sides.

27. Volume of a rectangular box
V=Lwh
A+c<b+c
The interesection of A and B.
4a^2(b)

28. What is the set of elements found in both A and B?
1.7
The two xes after factoring.
Do not have slopes!
The interesection of A and B.

29. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
61 - 67
A percent is a fraction whose denominator is 100.
x - x+1 - x+2

30. Area of a circle
(pi)r²
The sum of its digits is divisible by 3.
28
V=l×w×h

31. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
27
5 OR -5
An expression with just one term (-6x - 2a^2)

32. What are the irrational numbers?

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33. Define a 'monomial'
18
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)
Be Zero!
An expression with just one term (-6x - 2a^2)

34. a/Ø
x - x+1 - x+2
6 : 1 : 2
Null
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)

35. Define a 'Term' -
Negative
27^(-4)
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)
(2x7)³

36. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
52
Every number
6

37. Circumference of a Circle
C=2 x pi x r OR pi x D
(b + c)
9 : 25
an angle that is less than 90°

38. If Event is impossible
1/2 times 7/3
NOT A PRIME
P(E) = ø
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.)

39. binomial product of (x-y)²
(pi)r²
P=4s (s=side)
The overlapping sections.
(x+y)(x-y)

40. How to determine percent decrease?
75:11
x - x(SR3) - 2x
(amount of decrease/original price) x 100%
Infinite.

41. 25/2³
5 OR -5
31 - 37
2²
1/x

42. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
71 - 73 - 79
Be Zero!
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.)
28. n = 8 - k = 2. n! / k!(n-k)!

43. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
(length)(width)(height)
Even prime number
2
Negative

44. If a is inversely porportional to b - what does it equal?
The greatest value minus the smallest.
Ab=k (k is a constant)
A reflection about the origin.
Infinite.

45. (x^2)^4
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x²-y²
1/x
x^(2(4)) =x^8 = (x^4)^2

46. a^2 + 2ab + b^2
Null
(a + b)^2
288 (8 9 4)
90

47. -3²
9
180°
A percent is a fraction whose denominator is 100.
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.)

48. Obtuse Angle
angle that is greater than 90° but less than 180°
An isosceles right triangle.
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

49. What is the name of set with a number of elements which cannot be counted?
3
x²+2xy+y²
An infinite set.
P(E) = number of favorable outcomes/total number of possible outcomes

50. Formula for the area of a circle?
A multiple of every integer
A = pi(r^2)
Positive
x²+2xy+y²