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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. factored binomial product of (x+y)²
Two equal sides and two equal angles.
20.5
The sum of digits is divisible by 9.
x²+2xy+y²

2. What percent of 40 is 22?
Yes - like radicals can be added/subtracted.
Parallelogram
55%
The direction of the inequality is reversed.

3. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
48
75:11
6 : 1 : 2
3 - -3

4. In a rectangle - all angles are
Distance=rate×time or d=rt
180
Right
10! / 3!(10-3)! = 120

5. a^2 - 2ab + b^2
P=2(l+w)
Ø Ø=Ø
(a - b)^2
62.5%

6. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
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...
2sqrt6
0
(b + c)

7. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A reflection about the origin.
2sqrt6
(a - b)^2

8. The reciprocal of any non-zero #x is
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1/x
A=pi*(r^2)
1

9. 7 divided by Ø
Null
75:11
A = pi(r^2)
Lies opposite the greater angle

10. The Denominator can never
Right
Smallest positive integer
Be Zero!
48

11. Perfect Squares 1-15
zero
Do not have slopes!
6
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

12. Reduce: 4.8 : 0.8 : 1.6
1 - P(E)
True
6 : 1 : 2
Be Zero!

13. What is the 'Solution' for a set of inequalities.
(a + b)^2
The overlapping sections.
P(E) = 1/1 = 1
Distance=rate×time or d=rt

14. x^6 / x^3
Even
x²-y²
x^(6-3) = x^3
Null

15. (x+y)²
Can be negative - zero - or positive
x²+2xy+y²
.0004809 X 10^11
All numbers multiples of 1.

16. (6sqrt3) x (2sqrt5) =
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)
11 - 13 - 17 - 19
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(2x7)³

17. 10<all primes<20
11 - 13 - 17 - 19
4a^2(b)
23 - 29
... the square of the ratios of the corresponding sides.

18. Solve the quadratic equation ax^2 + bx + c= 0
Every number
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1
9

19. What is the graph of f(x) shifted right c units or spaces?
360°
1
F(x-c)
A 30-60-90 triangle.

20. What is the area of a regular hexagon with side 6?
12sqrt2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
37.5%
12.5%

21. If a lamp decreases to $80 - from $100 - what is the decrease in price?
3x - 4x - 5x
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
an angle that is less than 90°
The greatest value minus the smallest.

22. 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?
52
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
13
The sum of its digits is divisible by 3.

23. What is a chord of a circle?
1/2 times 7/3
ODD number
1
A chord is a line segment joining two points on a circle.

24. How many multiples does a given number have?
x - x(SR3) - 2x
Infinite.
An is positive
52

25. What is a set with no members called?
x²-2xy+y²
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.)
The empty set - denoted by a circle with a diagonal through it.
Pi is the ratio of a circle'S circumference to its diameter.

26. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The interesection of A and B.
87.5%
A 30-60-90 triangle.
180°

27. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A tangent is a line that only touches one point on the circumference of a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
360/n
28. n = 8 - k = 2. n! / k!(n-k)!

28. What is a major arc?

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29. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
An arc is a portion of a circumference of a circle.
zero
an angle that is less than 90°

30. a(b-c)
(rate)(time) d=rt
Ab-ac
B?b?b (where b is used as a factor n times)
26

31. The larger the absolute value of the slope...
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The steeper the slope.
NOT A PRIME
Indeterminable.

32. What is a minor arc?

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33. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
An expression with just one term (-6x - 2a^2)
angle that is greater than 90° but less than 180°
A reflection about the axis.
Positive

34. x^2 = 9. What is the value of x?
V=side³
3 - -3
37.5%
4.25 - 6 - 22

35. If a<b - then
A-b is negative
The sum of its digits is divisible by 3.
A+c<b+c
A natural number greater than 1 that has no positive divisors other than 1 and itself

36. If a is negative and n is even then an is (positive or negative?)
An is positive
(2x7)³
The sum of its digits is divisible by 3.
The set of elements which can be found in either A or B.

37. In a Rectangle - each angles measures
28. n = 8 - k = 2. n! / k!(n-k)!
V=side³
90°
5

38. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A=pi*(r^2)
Ab=k (k is a constant)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

39. A number is divisible by 4 is...
Its last two digits are divisible by 4.
1
A set with a number of elements which can be counted.
F(x) + c

40. Formula to find a circle'S circumference from its diameter?
C = (pi)d
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(x+y)(x-y)
(distance)/(rate) d/r

41. What is an isoceles triangle?
F(x-c)
The overlapping sections.
Sum of digits is a multiple of 3 and the last digit is even.
Two equal sides and two equal angles.

42. A number is divisible by 6 if...
(2x7)³
= (actual decrease/Original amount) x 100%
Its divisible by 2 and by 3.
5

43. Evaluate (4^3)^2
Move the decimal point to the right x places
360°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4096

44. 1 is an
Edge³
10! / 3!(10-3)! = 120
ODD number
62.5%

45. What is the graph of f(x) shifted downward c units or spaces?
500
x²-2xy+y²
F(x) - c
6 : 1 : 2

46. Formula to calculate arc length?
2²
The set of input values for a function.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x^(2(4)) =x^8 = (x^4)^2

47. What is the slope of a horizontal line?
0
3
The longest arc between points A and B on a circle'S diameter.
x²-y²

48. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
(pi)r²
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

49. (x^2)^4
C = 2(pi)r
Edge³
B?b?b (where b is used as a factor n times)
x^(2(4)) =x^8 = (x^4)^2

50. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
x(x - y + 1)
x²-2xy+y²
The union of A and B.