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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. Area of a Parallelogram:
A=(base)(height)
55%
The direction of the inequality is reversed.
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

2. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
F(x + c)
12! / 5!7! = 792
1
A reflection about the axis.

3. How to recognize if a # is a multiple of 12
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.)
360°
(a - b)^2
4:5

4. What is the set of elements which can be found in either A or B?
10
5 OR -5
The union of A and B.
23 - 29

5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3/2 - 5/3
Cd
an angle that is less than 90°
Negative

6. The sum of the measures of the n angles in a polygon with n sides
360°
288 (8 9 4)
71 - 73 - 79
(n-2) x 180

7. What is the order of operations?
Two equal sides and two equal angles.
(a + b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Parallelogram

8. What is an exterior angle?
The set of elements which can be found in either A or B.
3
180°
An angle which is supplementary to an interior angle.

9. Slope of any line that goes up from left to right
72
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...
The sum of digits is divisible by 9.
Positive

10. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Undefined - because we can'T divide by 0.
2sqrt6
1
x - x(SR3) - 2x

11. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2(pi)r
... the square of the ratios of the corresponding sides.
52

12. Ø Is neither
18
Positive or Negative
x²-y²
1

13. a^2 - b^2 =
(a - b)(a + b)
An arc is a portion of a circumference of a circle.
Undefined - because we can'T divide by 0.
A percent is a fraction whose denominator is 100.

14. 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?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
An arc is a portion of a circumference of a circle.
N! / (n-k)!
x²-y²

15. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1/2 times 7/3
3
(x+y)(x+y)
Triangles with same measure and same side lengths.

16. Formula to calculate arc length?
2sqrt6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
x^(2(4)) =x^8 = (x^4)^2

17. X is the opposite of
11 - 13 - 17 - 19
X
5 OR -5
(length)(width)(height)

18. 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
180
x(x - y + 1)
P=2(l+w)
Smallest positive integer

19. -3³
x²+2xy+y²
27
F(x) - c
Can be negative - zero - or positive

20. Which is greater? 64^5 or 16^8
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
Two (Ø×2=Ø)
x^(2(4)) =x^8 = (x^4)^2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

21. 20<all primes<30
The direction of the inequality is reversed.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ab=k (k is a constant)
23 - 29

22. In a rectangle - all angles are
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ø
2 & 3/7
Right

23. Consecutive integers
x - x+1 - x+2
angle that is greater than 90° but less than 180°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

24. Probability of Event all cases
Ø=P(E)=1
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.
An isosceles right triangle.
F(x) + c

25. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A-b is negative
70
Ø
x²-y²

26. binomial product of (x-y)²
(x+y)(x-y)
The sum of the digits is a multiple of 9.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

27. Circumference of a circle?
Subtract them. i.e (5^7)/(5^3)= 5^4
70
360/n
Diameter(Pi)

28. What is the 'Range' of a series of numbers?
Parallelogram
The greatest value minus the smallest.
(a - b)(a + b)
Be Zero!

29. Describe the relationship between the graphs of x^2 and (1/2)x^2
72
1/x
The second graph is less steep.
Ø

30. 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))?
x - x+1 - x+2
x²-2xy+y²
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
20.5

31. 25^(1/2) or sqrt. 25 =
Members or elements
90pi
Positive
5 OR -5

32. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
P(E) = number of favorable outcomes/total number of possible outcomes
2 & 3/7
A=(base)(height)

33. the measure of a straight angle
F(x) + c
52
The interesection of A and B.
180°

34. What is an arc of a circle?
F(x) + c
An arc is a portion of a circumference of a circle.
A reflection about the axis.
ODD number

35. Slope given 2 points
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)
27^(-4)
1.0843 X 10^11

36. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
An arc is a portion of a circumference of a circle.
500
72

37. formula for the volume of a cube
x²-y²
V=side³
C=2 x pi x r OR pi x D
A chord is a line segment joining two points on a circle.

38. Simplify the expression (p^2 - q^2)/ -5(q - p)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Straight Angle
(p + q)/5
x²-y²

39. 5/6 in percent?
83.333%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
61 - 67
The steeper the slope.

40. Area of a triangle
27
1/2 times 7/3
13
A= (1/2) b*h

41. 1 is the
Every number
9 : 25
Edge³
Smallest positive integer

42. A quadrilateral where two diagonals bisect each other
Parallelogram
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A natural number greater than 1 that has no positive divisors other than 1 and itself
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

43. Volume of a cube
Every number
(amount of decrease/original price) x 100%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Edge³

44. Distance
Every number
zero
(rate)(time) d=rt
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

45. What are the rational numbers?
Move the decimal point to the right x places
1:1:sqrt2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A=(base)(height)

46. a^2 + 2ab + b^2
75:11
(a + b)^2
1
Two angles whose sum is 180.

47. The product of odd number of negative numbers
Negative
C=2 x pi x r OR pi x D
3 - -3
ODD number

48. 7 divided by Ø
P(E) = 1/1 = 1
Null
2(pi)r
18

49. The ratio of the areas of two similar polygons is ...
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.)
A-b is negative
x - x+1 - x+2
... the square of the ratios of the corresponding sides.

50. What is a tangent?
A set with a number of elements which can be counted.
(b + c)
A tangent is a line that only touches one point on the circumference of a circle.
P=4s (s=side)