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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 the side length of an equilateral triangle with altitude 6?
D=rt so r= d/t and t=d/r
Two angles whose sum is 90.
1/a^6
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...

2. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
A=½bh
x²-2xy+y²
x²+2xy+y²

3. 7/8 in percent?
441000 = 1 10 10 10 21 * 21
Ø
87.5%
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.)

4. What is the empty set?
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.)
1
A set with no members - denoted by a circle with a diagonal through it.
6

5. When does a function automatically have a restricted domain (2)?
1
P= 2L + 2w
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(n-2) x 180

6. Formula to calculate arc length?
A set with no members - denoted by a circle with a diagonal through it.
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
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Lies opposite the greater angle

7. Slope
A+c<b+c
y = (x + 5)/2
y = 2x^2 - 3
y2-y1/x2-x1

8. To decrease a number by x%
31 - 37
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
360°
Be Zero!

9. 30< all primes<40
1
31 - 37
Subtract them. i.e (5^7)/(5^3)= 5^4
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

10. What are complementary angles?
Cd
Two angles whose sum is 90.
(a + b)^2
An infinite set.

11. What are the smallest three prime numbers greater than 65?
10! / 3!(10-3)! = 120
180°
67 - 71 - 73
1.7

12. Ø²
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)
A<-b
C=2 x pi x r OR pi x D
Ø

13. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
A²+b²=c²
x²-y²
... the square of the ratios of the corresponding sides.

14. An Angle that'S 180°
Its last two digits are divisible by 4.
Straight Angle
71 - 73 - 79
x(x - y + 1)

15. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
The second graph is less steep.
130pi
23 - 29

16. What are congruent triangles?
Undefined - because we can'T divide by 0.
B?b?b (where b is used as a factor n times)
F(x) + c
Triangles with same measure and same side lengths.

17. a^2 - b^2 =
6 : 1 : 2
Two angles whose sum is 90.
(a - b)(a + b)
x²-y²

18. Define an 'expression'.
4725
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)
5 OR -5
A percent is a fraction whose denominator is 100.

19. 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?
N! / (n-k)!
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.
4096
Undefined - because we can'T divide by 0.

20. Simplify 9^(1/2) X 4^3 X 2^(-6)?
9 & 6/7
An arc is a portion of a circumference of a circle.
The greatest value minus the smallest.
3

21. 10^6 has how many zeroes?
6
Even
(length)(width)(height)
Diameter(Pi)

22. In a Regular Polygon - the measure of each exterior angle
Two angles whose sum is 180.
360/n
Distance=rate×time or d=rt
P= 2L + 2w

23. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1.7
Positive
12! / 5!7! = 792
Parallelogram

24. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(base*height) / 2
NOT A PRIME
F(x + c)

25. 5/8 in percent?
A 30-60-90 triangle.
3 - -3
y2-y1/x2-x1
62.5%

26. What is a central angle?
A central angle is an angle formed by 2 radii.
Even prime number
12sqrt2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

27. What is a finite set?
Lies opposite the greater angle
A set with a number of elements which can be counted.
A=½bh
$11 -448

28. The larger the absolute value of the slope...
Every number
The point of intersection of the systems.
A = length x width
The steeper the slope.

29. Find distance when given time and rate
M
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
D=rt so r= d/t and t=d/r
9 & 6/7

30. Pythagorean theorem
Two (Ø×2=Ø)
A²+b²=c²
Parallelogram
ODD number

31. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
(length)(width)(height)
11 - 13 - 17 - 19
y = 2x^2 - 3
C=2 x pi x r OR pi x D

32. Rate
The greatest value minus the smallest.
Two (Ø×2=Ø)
D/t (distance)/(time)
1/a^6

33. What are the rational numbers?
Even
53 - 59
3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

34. (x-y)(x+y)
61 - 67
C = (pi)d
x²-y²
Reciprocal

35. The product of odd number of negative numbers
Negative
70
3 - -3
F(x-c)

36. Slope of any line that goes down as you move from left to right is
Negative
3 - 4 - 5
Two angles whose sum is 180.
All numbers multiples of 1.

37. What is the 'domain' of a function?
Its last two digits are divisible by 4.
The set of input values for a function.
A multiple of every integer
Sector area = (n/360) X (pi)r^2

38. One is (a prime or not?)
NOT A PRIME
y = (x + 5)/2
Cd
V=Lwh

39. X is the opposite of
3/2 - 5/3
x²+2xy+y²
X
10! / 3!(10-3)! = 120

40. 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?
52
31 - 37
Ø
The set of output values for a function.

41. 3/8 in percent?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The shortest arc between points A and B on a circle'S diameter.
37.5%
N! / (k!)(n-k)!

42. Legs: 3 - 4. Hypotenuse?
5
(pi)r²
Reciprocal
The greatest value minus the smallest.

43. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Indeterminable.
48

44. How many sides does a hexagon have?
6
The interesection of A and B.
An infinite set.
An expression with just one term (-6x - 2a^2)

45. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
An isosceles right triangle.
441000 = 1 10 10 10 21 * 21
4a^2(b)
Two angles whose sum is 180.

46. a^2 + 2ab + b^2
B?b?b (where b is used as a factor n times)
(a + b)^2
180°
(a - b)(a + b)

47. Number of degrees in a triangle
0
27
16.6666%
180

48. Probability of E not occurring:
1 & 37/132
No - only like radicals can be added.
1 - P(E)
3/2 - 5/3

49. Circumference of a circle?
Diameter(Pi)
A subset.
Do not have slopes!
Reciprocal

50. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Its divisible by 2 and by 3.
Be Zero!
M
2 & 3/7