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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. How to recognize a # as a multiple of 4
2sqrt6
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.)
Ø
4725

2. -3²
9
A natural number greater than 1 that has no positive divisors other than 1 and itself
441000 = 1 10 10 10 21 * 21
A=pi*(r^2)

3. Vertical lines
13pi / 2
Do not have slopes!
13
0

4. What are complementary angles?
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)
Two angles whose sum is 90.
1/2 times 7/3
20.5

5. A number is divisible by 4 is...
2^9 / 2 = 256
Its last two digits are divisible by 4.
1:sqrt3:2
Ø=P(E)=1

6. What is a central angle?
500
P= 2L + 2w
A central angle is an angle formed by 2 radii.
x - x+1 - x+2

7. Acute Angle
an angle that is less than 90°
Two equal sides and two equal angles.
The union of A and B.
An is positive

8. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
A tangent is a line that only touches one point on the circumference of a circle.
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.
Smallest positive integer

9. How to recognize a # as a multiple of 9
1 & 37/132
The sum of the digits is a multiple of 9.
5
180°

10. Legs 6 - 8. Hypotenuse?
(n-2) x 180
The sum of the digits is a multiple of 9.
10
C=2 x pi x r OR pi x D

11. 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.
x²-y²
A = pi(r^2)
(base*height) / 2

12. 1 is the
B?b?b (where b is used as a factor n times)
(x+y)(x+y)
28. n = 8 - k = 2. n! / k!(n-k)!
Smallest positive integer

13. (12sqrt15) / (2sqrt5) =
3
x^(2(4)) =x^8 = (x^4)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Two angles whose sum is 180.

14. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(x+y)(x+y)
The empty set - denoted by a circle with a diagonal through it.
Ø Ø=Ø

15. (x^2)^4
1/x
1/a^6
48
x^(2(4)) =x^8 = (x^4)^2

16. What is the graph of f(x) shifted upward c units or spaces?
(rate)(time) d=rt
6 : 1 : 2
F(x) + c
288 (8 9 4)

17. What is the empty set?
10
V=side³
3
A set with no members - denoted by a circle with a diagonal through it.

18. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(a + b)^2
4:5
True

19. What are the rational numbers?
3 - -3
Ab-ac
P=2(l+w)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

20. What is the surface area of a cylinder with radius 5 and height 8?
130pi
V=l×w×h
Lies opposite the greater angle
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)

21. a^2 - 2ab + b^2
(a - b)^2
(2x7)³
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(2(4)) =x^8 = (x^4)^2

22. How do you solve proportions? a/b=c/d
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Undefined - because we can'T divide by 0.
1.7

23. 3 is the opposite of
3
11 - 13 - 17 - 19
x^(4+7) = x^11
(b + c)

24. Can you subtract 3sqrt4 from sqrt4?
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d
12! / 5!7! = 792
Yes - like radicals can be added/subtracted.

25. binomial product of (x+y)(x-y)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A central angle is an angle formed by 2 radii.
x²-y²
1/2 times 7/3

26. The Denominator can never
The sum of its digits is divisible by 3.
(a + b)^2
Be Zero!
The sum of the digits is a multiple of 9.

27. Is 0 even or odd?
V=Lwh
2
Even
12! / 5!7! = 792

28. 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?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
C=2 x pi x r OR pi x D
52
Can be negative - zero - or positive

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?
A= (1/2) b*h
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
N! / (n-k)!
The set of elements which can be found in either A or B.

30. formula for area of a triangle
1 - P(E)
Two angles whose sum is 90.
A=½bh
Positive

31. What is a subset?
(p + q)/5
A grouping of the members within a set based on a shared characteristic.
3/2 - 5/3
The point of intersection of the systems.

32. -3³
x²-y²
F(x-c)
27
83.333%

33. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A=(base)(height)
72

34. The Perimeter of a Square
P=4s (s=side)
D/t (distance)/(time)
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...
(a + b)^2

35. One is (a prime or not?)
N! / (k!)(n-k)!
Relationship cannot be determined (what if x is negative?)
NOT A PRIME
2(pi)r

36. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
1 - P(E)
x²-2xy+y²
F(x) + c

37. The only number that is equal to its opposite
A tangent is a line that only touches one point on the circumference of a circle.
N! / (k!)(n-k)!
Ø Ø=Ø
Positive

38. 7 divided by Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Null
A= (1/2) b*h
72

39. 1/6 in percent?
The greatest value minus the smallest.
P= 2L + 2w
X
16.6666%

40. What is an exterior angle?
An angle which is supplementary to an interior angle.
31 - 37
$3 -500 in the 9% and $2 -500 in the 7%.
$11 -448

41. In any polygon - all external angles equal up to
The sum of its digits is divisible by 3.
An expression with just one term (-6x - 2a^2)
360°
The objects within a set.

42. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
An angle which is supplementary to an interior angle.
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
The steeper the slope.
A reflection about the origin.

43. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
The longest arc between points A and B on a circle'S diameter.
Its last two digits are divisible by 4.
(b + c)

44. (x+y)²
x²+2xy+y²
0
x - x+1 - x+2
Positive

45. 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
N! / (k!)(n-k)!
x²-2xy+y²
1/2 times 7/3

46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A set with no members - denoted by a circle with a diagonal through it.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2sqrt6
0

47. (a^-1)/a^5
180 degrees
0
1
1/a^6

48. What number between 70 & 75 - inclusive - has the greatest number of factors?
Subtract them. i.e (5^7)/(5^3)= 5^4
An isosceles right triangle.
72
53 - 59

49. To increase a number by x%
41 - 43 - 47
Undefined
Ab=k (k is a constant)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

50. What is the maximum value for the function g(x) = (-2x^2) -1?
A= (1/2) b*h
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
1
23 - 29