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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. Any Horizontal line slope
zero
Smallest positive integer
28. n = 8 - k = 2. n! / k!(n-k)!
0

2. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Pi is the ratio of a circle'S circumference to its diameter.
2.592 kg
The set of input values for a function.
360/n

3. Circumference of a circle?
No - only like radicals can be added.
A percent is a fraction whose denominator is 100.
Diameter(Pi)
An expression with just one term (-6x - 2a^2)

4. 1 is the
Straight Angle
Smallest positive integer
The set of input values for a function.
An isosceles right triangle.

5. How to determine percent decrease?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
D/t (distance)/(time)
(amount of decrease/original price) x 100%
A tangent is a line that only touches one point on the circumference of a circle.

6. Which is greater? 64^5 or 16^8
Ø Ø=Ø
A-b is negative
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Negative

7. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
A natural number greater than 1 that has no positive divisors other than 1 and itself

8. 5/6 in percent?
Ø=P(E)=1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%
1/a^6

9. What are the integers?
All numbers multiples of 1.
NOT A PRIME
2^9 / 2 = 256
Its last two digits are divisible by 4.

10. 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?
Distance=rate×time or d=rt
Negative
N! / (n-k)!
1 & 37/132

11. A number is divisible by 3 if ...
27^(-4)
The sum of its digits is divisible by 3.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Sum of digits is a multiple of 3 and the last digit is even.

12. Slope given 2 points
Ø
y = (x + 5)/2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
M= (Y1-Y2)/(X1-X2)

13. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
F(x) + c
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
2 & 3/7

14. If y is directly proportional to x - what does it equal?
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.
y/x is a constant
Add them. i.e. (5^7) * (5^3) = 5^10
(p + q)/5

15. What is the graph of f(x) shifted right c units or spaces?
Ø=P(E)=1
The set of output values for a function.
F(x-c)
The greatest value minus the smallest.

16. formula for distance problems
x²-y²
Distance=rate×time or d=rt
The objects within a set.
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)

17. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The steeper the slope.
NOT A PRIME
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28. n = 8 - k = 2. n! / k!(n-k)!

18. 5x^2 - 35x -55 = 0
Undefined
53 - 59
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Null

19. Volume of a rectangular box
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
V=Lwh
Two equal sides and two equal angles.
1:1:sqrt2

20. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
x²+2xy+y²
y = (x + 5)/2
1

21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1
4725
True
X

22. Area of a circle
6
x²+2xy+y²
12.5%
(pi)r²

23. Define a 'monomial'
An is positive
An expression with just one term (-6x - 2a^2)
Ab+ac
5 - 12 - 13

24. What is the order of operations?
Ø Ø=Ø
Ø
23 - 29
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

25. The Denominator can never
Be Zero!
Its divisible by 2 and by 3.
180
6 : 1 : 2

26. How to recognize a multiple of 6
Ø=P(E)=1
12.5%
Sum of digits is a multiple of 3 and the last digit is even.
x - x(SR3) - 2x

27. Important properties of a 30-60-90 triangle?
(a + b)^2
Undefined
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
A reflection about the axis.

28. Probability of Event all cases
Ø=P(E)=1
12! / 5!7! = 792
A 30-60-90 triangle.
28

29. x^4 + x^7 =
C = (pi)d
180 degrees
x^(4+7) = x^11
x - x+1 - x+2

30. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
72
360°
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x²+2xy+y²

31. 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?
A chord is a line segment joining two points on a circle.
Null
75:11
48

32. 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)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Reciprocal
52
4.25 - 6 - 22

33. Is 0 even or odd?
Positive
A-b is positive
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Even

34. How to recognize a # as a multiple of 4
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.)
Even
1.0843 X 10^11
53 - 59

35. Ø²
(p + q)/5
ODD number
P=2(l+w)
Ø

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?
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)
A set with a number of elements which can be counted.
10! / (10-3)! = 720
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

37. One is (a prime or not?)
x²+2xy+y²
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
NOT A PRIME
(pi)r²

38. Circumference of a Circle
A 30-60-90 triangle.
A set with a number of elements which can be counted.
C=2 x pi x r OR pi x D
The empty set - denoted by a circle with a diagonal through it.

39. What is the graph of f(x) shifted upward c units or spaces?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
9 & 6/7
180
F(x) + c

40. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
The steeper the slope.
18
.0004809 X 10^11
(distance)/(rate) d/r

41. X is the opposite of
Parallelogram
3x - 4x - 5x
A percent is a fraction whose denominator is 100.
X

42. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
Infinite.
(pi)r²
A<-b

43. If a product of two numbers is Ø - one number must be
Ø
27
70
8

44. The reciprocal of any non-zero #x is
90pi
1/x
37.5%
ODD number

45. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
Add them. i.e. (5^7) * (5^3) = 5^10
1 - P(E)
Triangles with same measure and same side lengths.

46. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
37.5%
2(pi)r
An isosceles right triangle.
(a + b)^2

47. Whats the difference between factors and multiples?
The direction of the inequality is reversed.
Factors are few - multiples are many.
A subset.
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)

48. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
72
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1

49. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Sum of digits is a multiple of 3 and the last digit is even.
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.
2^9 / 2 = 256
0

50. An Angle that'S 180°
The objects within a set.
Straight Angle
Pi is the ratio of a circle'S circumference to its diameter.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3