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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 transformation occurs if point C is reflected over the x-axis and then the y-axis?
Cd
A reflection about the axis.
M= (Y1-Y2)/(X1-X2)
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.

2. Formula to find a circle'S circumference from its diameter?
C = (pi)d
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(2x7)³
y = 2x^2 - 3

3. Area of a circle
A=pi*(r^2)
288 (8 9 4)
C=2 x pi x r OR pi x D
5 - 12 - 13

4. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
3 - 4 - 5
Move the decimal point to the right x places
The two xes after factoring.

5. Circumference of a circle
Its divisible by 2 and by 3.
4725
F(x-c)
2(pi)r

6. Formula to find a circle'S circumference from its radius?
0
an angle that is less than 90°
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
C = 2(pi)r

7. If a product of two numbers is Ø - one number must be
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)
Ø
Lies opposite the greater angle
A set with a number of elements which can be counted.

8. A quadrilateral where two diagonals bisect each other
The greatest value minus the smallest.
Undefined
Parallelogram
Sector area = (n/360) X (pi)r^2

9. Which is greater? 27^(-4) or 9^(-8)
F(x) - c
27^(-4)
Positive
3x - 4x - 5x

10. If an inequality is multiplied or divided by a negative number....
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2sqrt6
The direction of the inequality is reversed.
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

11. Define a 'monomial'
The greatest value minus the smallest.
An expression with just one term (-6x - 2a^2)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Positive

12. What is the ratio of the sides of a 30-60-90 triangle?
The point of intersection of the systems.
(length)(width)(height)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1:sqrt3:2

13. For any number x
41 - 43 - 47
Two equal sides and two equal angles.
Can be negative - zero - or positive
Positive

14. The Denominator can never
1/x
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a - b)(a + b)
Be Zero!

15. If E is certain
x²-y²
B?b?b (where b is used as a factor n times)
Null
P(E) = 1/1 = 1

16. Positive integers that have exactly 2 positive divisors are
ODD number
Ø
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x - x+1 - x+2

17. A number is divisible by 3 if ...
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
The sum of its digits is divisible by 3.
75:11
The sum of the digits is a multiple of 9.

18. formula for the volume of a cube
P=4s (s=side)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x²+2xy+y²
V=side³

19. P and r are factors of 100. What is greater - pr or 100?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Relationship cannot be determined (what if x is negative?)
Indeterminable.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

20. a^2 - b^2
$3 -500 in the 9% and $2 -500 in the 7%.
(a - b)(a + b)
6 : 1 : 2
5 OR -5

21. bn
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1:sqrt3:2
B?b?b (where b is used as a factor n times)
67 - 71 - 73

22. How many 3-digit positive integers are even and do not contain the digit 4?
Ø Ø=Ø
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The interesection of A and B.
288 (8 9 4)

23. Product of any number and Ø is
441000 = 1 10 10 10 21 * 21
A reflection about the origin.
The empty set - denoted by a circle with a diagonal through it.
Ø

24. What is the ratio of the sides of an isosceles right triangle?
360°
0
1 - P(E)
1:1:sqrt2

25. Slope
y2-y1/x2-x1
Two angles whose sum is 90.
(a + b)^2
The shortest arc between points A and B on a circle'S diameter.

26. Ø Is
41 - 43 - 47
F(x + c)
EVEN
N! / (n-k)!

27. Legs: 3 - 4. Hypotenuse?
5
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
441000 = 1 10 10 10 21 * 21
Its divisible by 2 and by 3.

28. In a Rectangle - each angles measures
90°
Subtract them. i.e (5^7)/(5^3)= 5^4
(a + b)^2
Every number

29. The reciprocal of any non-zero #x is
1/x
All numbers multiples of 1.
500
The sum of the digits is a multiple of 9.

30. A number is divisible by 4 is...
Its last two digits are divisible by 4.
x²+2xy+y²
12.5%
72

31. What is the intersection of A and B?
V=l×w×h
y2-y1/x2-x1
The empty set - denoted by a circle with a diagonal through it.
The set of elements found in both A and B.

32. Evaluate 4/11 + 11/12
= (actual decrease/Original amount) x 100%
20.5
1 & 37/132
Infinite.

33. What does scientific notation mean?
Cd
(base*height) / 2
Ø
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

34. What is an arc of a circle?
Cd
The sum of its digits is divisible by 3.
y = (x + 5)/2
An arc is a portion of a circumference of a circle.

35. 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?
... the square of the ratios of the corresponding sides.
4a^2(b)
52
x - x+1 - x+2

36. The larger the absolute value of the slope...
The steeper the slope.
1
All numbers multiples of 1.
55%

37. The only number that is equal to its opposite
D=rt so r= d/t and t=d/r
A set with a number of elements which can be counted.
Ø Ø=Ø
2^9 / 2 = 256

38. What are the members or elements of a set?
$11 -448
$3 -500 in the 9% and $2 -500 in the 7%.
The objects within a set.
Ø Ø=Ø

39. Slope of any line that goes down as you move from left to right is
Ø
Negative
A+c<b+c
Members or elements

40. What is the 'union' of A and B?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of elements which can be found in either A or B.
9 : 25
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

41. 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?
Move the decimal point to the right x places
1 & 37/132
Two angles whose sum is 180.
10! / (10-3)! = 720

42. A number is divisible by 9 if...
The sum of digits is divisible by 9.
2 & 3/7
Two angles whose sum is 180.
P=4s (s=side)

43. 60 < all primes <70
61 - 67
10! / (10-3)! = 720
A percent is a fraction whose denominator is 100.
A set with no members - denoted by a circle with a diagonal through it.

44. (x-y)²
x(x - y + 1)
Yes - like radicals can be added/subtracted.
True
x²-2xy+y²

45. b¹
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
an angle that is less than 90°
1
ODD number

46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
$11 -448
Ab+ac
P= 2L + 2w
2sqrt6

47. a^0 =
The empty set - denoted by a circle with a diagonal through it.
The longest arc between points A and B on a circle'S diameter.
67 - 71 - 73
1

48. 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))?
20.5
1
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Straight Angle

49. the measure of a straight angle
9
Arc length = (n/360) x pi(2r) where n is the number of degrees.
180°
Undefined

50. What is the side length of an equilateral triangle with altitude 6?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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...
20.5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.