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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 a major arc?

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2. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Ø
(a + b)^2
2sqrt6
1:sqrt3:2

3. The sum of the measures of the n angles in a polygon with n sides
A tangent is a line that only touches one point on the circumference of a circle.
Parallelogram
90
(n-2) x 180

4. Describe the relationship between the graphs of x^2 and (1/2)x^2
A-b is positive
12.5%
The second graph is less steep.
A grouping of the members within a set based on a shared characteristic.

5. How to determine percent decrease?
(amount of decrease/original price) x 100%
A=½bh
3 - -3
P= 2L + 2w

6. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The point of intersection of the systems.
An expression with just one term (-6x - 2a^2)
x²+2xy+y²

7. Factor a^2 + 2ab + b^2
Right
10! / 3!(10-3)! = 120
Indeterminable.
(a + b)^2

8. a^2 + 2ab + b^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(a + b)^2
An arc is a portion of a circumference of a circle.
N! / (n-k)!

9. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
N! / (k!)(n-k)!
Cd
Yes - like radicals can be added/subtracted.
Reciprocal

10. 2 is the only
55%
Distance=rate×time or d=rt
Even prime number
23 - 29

11. 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?
1:1:sqrt2
1
N! / (n-k)!
x²+2xy+y²

12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
A percent is a fraction whose denominator is 100.
(base*height) / 2
(a + b)^2

13. 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?
Negative
75:11
500
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

14. What percent of 40 is 22?
55%
16.6666%
x²+2xy+y²
Every number

15. The Perimeter of a rectangle
P=2(l+w)
61 - 67
Its last two digits are divisible by 4.
Straight Angle

16. 30 60 90
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)
3 - 4 - 5
$11 -448
180

17. Ø is a multiple of
The longest arc between points A and B on a circle'S diameter.
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)
Every number
A multiple of every integer

18. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A+c<b+c
4:5
4725
V=Lwh

19. 1n
Factors are few - multiples are many.
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
1
Distance=rate×time or d=rt

20. If y is directly proportional to x - what does it equal?
6
Factors are few - multiples are many.
M
y/x is a constant

21. 7/8 in percent?
87.5%
Undefined - because we can'T divide by 0.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
M

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The two xes after factoring.
9
2sqrt6
1

23. 25+2³
28
x - x+1 - x+2
(a + b)^2
11 - 13 - 17 - 19

24. 7 divided by Ø
3
The second graph is less steep.
Its divisible by 2 and by 3.
Null

25. 40 < all primes<50
x²-y²
Pi(diameter)
41 - 43 - 47
1

26. If Event is impossible
Undefined
P(E) = ø
1
An isosceles right triangle.

27. What is the 'Solution' for a set of inequalities.
500
Two angles whose sum is 90.
Sector area = (n/360) X (pi)r^2
The overlapping sections.

28. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Indeterminable.
y = 2x^2 - 3
Sum of digits is a multiple of 3 and the last digit is even.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

29. Formula to find a circle'S circumference from its radius?
Undefined - because we can'T divide by 0.
P=4s (s=side)
5
C = 2(pi)r

30. -3²
1
9
The objects within a set.
Two angles whose sum is 90.

31. 1/2 divided by 3/7 is the same as
1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3
1/2 times 7/3

32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Sum of digits is a multiple of 3 and the last digit is even.
All numbers multiples of 1.
Subtract them. i.e (5^7)/(5^3)= 5^4
1

33. 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))?
4:5
20.5
The overlapping sections.
Two angles whose sum is 90.

34. What are the roots of the quadrinomial x^2 + 2x + 1?
x²-2xy+y²
The two xes after factoring.
180
2²

35. What are the integers?
All numbers multiples of 1.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x^(2(4)) =x^8 = (x^4)^2
P(E) = number of favorable outcomes/total number of possible outcomes

36. What is the ratio of the sides of a 30-60-90 triangle?
2^9 / 2 = 256
Reciprocal
(a - b)(a + b)
1:sqrt3:2

37. The product of any number x and its reciprocal
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Ab=k (k is a constant)
1
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...

38. Define an 'expression'.
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)
1/2 times 7/3

39. Pi is a ratio of what to what?

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40. Slope of any line that goes down as you move from left to right is
Undefined
Ø
(p + q)/5
Negative

41. 30< all primes<40
10
x^(4+7) = x^11
31 - 37
11 - 13 - 17 - 19

42. a^0 =
12.5%
1
Relationship cannot be determined (what if x is negative?)
360/n

43. What is the intersection of A and B?
20.5
The set of elements found in both A and B.
1
8

44. 2³×7³
(2x7)³
An infinite set.
(length)(width)(height)
x²-y²

45. 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?
2 & 3/7
52
F(x-c)
An angle which is supplementary to an interior angle.

46. A number is divisible by 3 if ...
12sqrt2
The sum of its digits is divisible by 3.
Its last two digits are divisible by 4.
A set with no members - denoted by a circle with a diagonal through it.

47. Ø Is neither
$3 -500 in the 9% and $2 -500 in the 7%.
Positive or Negative
8
Ø

48. The Perimeter of a Square
P=4s (s=side)
A percent is a fraction whose denominator is 100.
D=rt so r= d/t and t=d/r
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

49. In a rectangle - all angles are
Even prime number
Right
x - x+1 - x+2
26

50. When dividing exponential #s with the same base - you do this to the exponents...
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Negative
Subtract them. i.e (5^7)/(5^3)= 5^4
71 - 73 - 79