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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
y2-y1/x2-x1
... the square of the ratios of the corresponding sides.
1
$11 -448

2. (x+y)²
70
Ab+ac
Be Zero!
x²+2xy+y²

3. 70 < all primes< 80
2^9 / 2 = 256
71 - 73 - 79
52
y = 2x^2 - 3

4. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
4725
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.
P(E) = number of favorable outcomes/total number of possible outcomes
2

5. Dividing by a number is the same as multiplying it by its
Reciprocal
3x - 4x - 5x
The set of input values for a function.
(a + b)^2

6. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
The sum of its digits is divisible by 3.
9 : 25
V=Lwh

7. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
27
10! / 3!(10-3)! = 120
Ø

8. (6sqrt3) x (2sqrt5) =
1:sqrt3:2
A= (1/2) b*h
The sum of digits is divisible by 9.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

9. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Lies opposite the greater angle
Cd
(distance)/(rate) d/r

10. Which is greater? 64^5 or 16^8
Infinite.
Two angles whose sum is 180.
52
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

11. 50 < all primes< 60
The shortest arc between points A and B on a circle'S diameter.
A percent is a fraction whose denominator is 100.
53 - 59
2

12. A number is divisible by 4 is...
7 / 1000
Null
1:sqrt3:2
Its last two digits are divisible by 4.

13. Ø is
Two angles whose sum is 180.
y = (x + 5)/2
(p + q)/5
Even

14. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Parallelogram
Smallest positive integer

15. 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))?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
20.5
1.7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

16. For any number x
90
A set with no members - denoted by a circle with a diagonal through it.
Can be negative - zero - or positive
Two angles whose sum is 90.

17. 30 60 90
A<-b
27
3 - 4 - 5
N! / (k!)(n-k)!

18. What are the smallest three prime numbers greater than 65?
ODD number
F(x) - c
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
67 - 71 - 73

19. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A=pi*(r^2)
2
(p + q)/5
(distance)/(rate) d/r

20. Reduce: 4.8 : 0.8 : 1.6
An infinite set.
Even prime number
6 : 1 : 2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

21. Evaluate (4^3)^2
1
A set with a number of elements which can be counted.
4096
Negative

22. 5/8 in percent?
62.5%
Be Zero!
The set of output values for a function.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

23. What is the 'domain' of a function?
The set of input values for a function.
A grouping of the members within a set based on a shared characteristic.
Sum of digits is a multiple of 3 and the last digit is even.
The point of intersection of the systems.

24. What is the 'Solution' for a system of linear equations?
An infinite set.
The point of intersection of the systems.
Add them. i.e. (5^7) * (5^3) = 5^10
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

25. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
P(E) = number of favorable outcomes/total number of possible outcomes
20.5
Positive
70

26. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
3 - 4 - 5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
zero

27. formula for volume of a rectangular solid
31 - 37
Positive or Negative
V=l×w×h
1.7

28. Define a 'Term' -
Move the decimal point to the right x places
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)
9 & 6/7
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

29. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
Pi(diameter)
4.25 - 6 - 22
(length)(width)(height)

30. What is an arc of a circle?
71 - 73 - 79
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
An arc is a portion of a circumference of a circle.

31. How many 3-digit positive integers are even and do not contain the digit 4?
A 30-60-90 triangle.
360°
288 (8 9 4)
(pi)r²

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
C=2 x pi x r OR pi x D
A chord is a line segment joining two points on a circle.

33. Legs: 3 - 4. Hypotenuse?
0
6
1
5

34. The only number that is equal to its opposite
C = (pi)d
The sum of digits is divisible by 9.
Ø Ø=Ø
V=Lwh

35. What is a tangent?
ODD number
A tangent is a line that only touches one point on the circumference of a circle.
A²+b²=c²
Parallelogram

36. The percent decrease of a quantity
(2x7)³
360°
= (actual decrease/Original amount) x 100%
An angle which is supplementary to an interior angle.

37. How to determine percent decrease?
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
(amount of decrease/original price) x 100%
A subset.
Relationship cannot be determined (what if x is negative?)

38. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1/x
3
83.333%
A grouping of the members within a set based on a shared characteristic.

39. What is a minor arc?

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40. The negative exponent x?n is equivalent to what?
28. n = 8 - k = 2. n! / k!(n-k)!
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
P=2(l+w)
Ø Ø=Ø

41. The Denominator can never
4.25 - 6 - 22
10
4:5
Be Zero!

42. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
6
90°
10! / (10-3)! = 720

43. 20<all primes<30
23 - 29
(b + c)
1/2 times 7/3
The shortest arc between points A and B on a circle'S diameter.

44. Probability of Event all cases
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)
An expression with just one term (-6x - 2a^2)
27
Ø=P(E)=1

45. Write 10 -843 X 10^7 in scientific notation
Ø Ø=Ø
1.0843 X 10^11
Positive
41 - 43 - 47

46. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
Pi(diameter)
500

47. Ø is
A multiple of every integer
x - x+1 - x+2
Negative
6

48. What are the roots of the quadrinomial x^2 + 2x + 1?
F(x) - c
The two xes after factoring.
71 - 73 - 79
1

49. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
53 - 59
(a - b)(a + b)
8
An expression with just one term (-6x - 2a^2)

50. What is the sum of the angles of a triangle?
180 degrees
12.5%
An expression with just one term (-6x - 2a^2)
4096

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GRE Math: All In One

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