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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 number is divisible by 9 if...
A tangent is a line that only touches one point on the circumference of a circle.
The sum of digits is divisible by 9.
P(E) = 1/1 = 1
1 - P(E)

2. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
Null
180
An is positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

3. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
P=4s (s=side)
Be Zero!
Reciprocal

4. What is the 'Range' of a function?
4:5
y/x is a constant
The set of output values for a function.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

5. What is the slope of a horizontal line?
0
(p + q)/5
Positive or Negative
288 (8 9 4)

6. First 10 prime #s
A chord is a line segment joining two points on a circle.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Members or elements
Null

7. The product of odd number of negative numbers
Pi is the ratio of a circle'S circumference to its diameter.
Negative
zero
M= (Y1-Y2)/(X1-X2)

8. How to determine percent decrease?
10! / (10-3)! = 720
(amount of decrease/original price) x 100%
The union of A and B.
V=side³

9. X is the opposite of
A central angle is an angle formed by 2 radii.
X
Members or elements
(amount of decrease/original price) x 100%

10. Ø Is neither
Every number
Smallest positive integer
Positive or Negative
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

11. If a<b - then
A+c<b+c
3 - 4 - 5
Edge³
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

12. 1 is an
ODD number
The longest arc between points A and B on a circle'S diameter.
26
Parallelogram

13. 20<all primes<30
23 - 29
2
Its last two digits are divisible by 4.
(a - b)(a + b)

14. Evaluate 4/11 + 11/12
1 & 37/132
The sum of its digits is divisible by 3.
The two xes after factoring.
(rate)(time) d=rt

15. 70 < all primes< 80
... the square of the ratios of the corresponding sides.
V=side³
The objects within a set.
71 - 73 - 79

16. What is the order of operations?
1/2 times 7/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

17. a(b+c)
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.)
The sum of the digits is a multiple of 9.
Even
Ab+ac

18. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
.0004809 X 10^11
13
4725

19. Ø is
27^(-4)
P=2(l+w)
A chord is a line segment joining two points on a circle.
Even

20. 60 < all primes <70
Lies opposite the greater angle
4a^2(b)
13
61 - 67

21. The perimeter of a square is 48 inches. The length of its diagonal is:
1
12sqrt2
F(x) + c
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)

22. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
A multiple of every integer
48
41 - 43 - 47

23. Formula to find a circle'S circumference from its diameter?
A natural number greater than 1 that has no positive divisors other than 1 and itself
Edge³
C = (pi)d
3x - 4x - 5x

24. Area of a Parallelogram:
A=(base)(height)
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.
Ø Ø=Ø
Every number

25. 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))?
The set of input values for a function.
Ab=k (k is a constant)
20.5
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.)

26. Rate
2.592 kg
D/t (distance)/(time)
Triangles with same measure and same side lengths.
Ø Ø=Ø

27. What is the intersection of A and B?
The set of elements found in both A and B.
48
Indeterminable.
75:11

28. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1.7
C = (pi)d

29. Evaluate 3& 2/7 / 1/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A²+b²=c²
(x+y)(x+y)
9 & 6/7

30. 1/8 in percent?
V=side³
12.5%
NOT A PRIME
Yes - like radicals can be added/subtracted.

31. What is the name for a grouping of the members within a set based on a shared characteristic?
x²-2xy+y²
F(x + c)
10
A subset.

32. Formula for the area of a circle?
A = pi(r^2)
P=2(l+w)
180
1

33. Any Horizontal line slope
Be Zero!
The interesection of A and B.
zero
The shortest arc between points A and B on a circle'S diameter.

34. When multiplying exponential #s with the same base - you do this to the exponents...
Ø
P(E) = 1/1 = 1
Add them. i.e. (5^7) * (5^3) = 5^10
2sqrt6

35. The objects in a set are called two names:
Members or elements
An expression with just one term (-6x - 2a^2)
Reciprocal
.0004809 X 10^11

36. (x^2)^4
10
x^(2(4)) =x^8 = (x^4)^2
A=pi*(r^2)
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)

37. In a Rectangle - each angles measures
90°
1/a^6
11 - 13 - 17 - 19
130pi

38. 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)
... the square of the ratios of the corresponding sides.
4.25 - 6 - 22
The sum of the digits is a multiple of 9.
A= (1/2) b*h

39. The reciprocal of any non-zero #x is
Be Zero!
1/x
2²
The sum of digits is divisible by 9.

40. Factor x^2 - xy + x.
The set of output values for a function.
Negative
52
x(x - y + 1)

41. factored binomial product of (x-y)²
Ø
x²-2xy+y²
Straight Angle
The objects within a set.

42. 1 is a divisor of
Every number
1/a^6
Its divisible by 2 and by 3.
Sector area = (n/360) X (pi)r^2

43. Formula to find a circle'S circumference from its radius?
.0004809 X 10^11
(2x7)³
The greatest value minus the smallest.
C = 2(pi)r

44. To increase a number by x%
2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(base*height) / 2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

45. Can you add sqrt 3 and sqrt 5?
Edge³
No - only like radicals can be added.
Ø=P(E)=1
An isosceles right triangle.

46. (6sqrt3) x (2sqrt5) =
(n-2) x 180
Indeterminable.
360°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

47. What is the set of elements found in both A and B?
Sector area = (n/360) X (pi)r^2
zero
A reflection about the origin.
The interesection of A and B.

48. 1/2 divided by 3/7 is the same as
P=2(l+w)
an angle that is less than 90°
18
1/2 times 7/3

49. If y is directly proportional to x - what does it equal?
Indeterminable.
x^(2(4)) =x^8 = (x^4)^2
C = 2(pi)r
y/x is a constant

50. 5/8 in percent?
62.5%
An isosceles right triangle.
90pi
The shortest arc between points A and B on a circle'S diameter.