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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. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
an angle that is less than 90°
Relationship cannot be determined (what if x is negative?)
1/2 times 7/3

2. Probability of E not occurring:
90°
C = (pi)d
1 - P(E)
x^(6-3) = x^3

3. Number of degrees in a triangle
x^(6-3) = x^3
180
M
Negative

4. (12sqrt15) / (2sqrt5) =
26
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined - because we can'T divide by 0.
P=4s (s=side)

5. What is a central angle?
Subtract them. i.e (5^7)/(5^3)= 5^4
12.5%
x^(6-3) = x^3
A central angle is an angle formed by 2 radii.

6. What is the side length of an equilateral triangle with altitude 6?
Pi is the ratio of a circle'S circumference to its diameter.
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...
ODD number
The set of input values for a function.

7. X is the opposite of
X
Ø
Add them. i.e. (5^7) * (5^3) = 5^10
NOT A PRIME

8. The product of any number x and its reciprocal
A=½bh
Ab+ac
1
X

9. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
1.7
1
28
2sqrt6

10. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
6
F(x) - c
Two angles whose sum is 90.
12! / 5!7! = 792

11. a^0 =
4096
A = length x width
1
90

12. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
5
x²+2xy+y²
$3 -500 in the 9% and $2 -500 in the 7%.
62.5%

13. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
27
Cd
31 - 37
55%

14. 0^0
3 - -3
P=2(l+w)
Undefined
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

15. Legs 6 - 8. Hypotenuse?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Ab+ac
10
Negative

16. If a product of two numbers is Ø - one number must be
The objects within a set.
Do not have slopes!
Ø
P= 2L + 2w

17. Volume of a rectangular solid
37.5%
9 & 6/7
An angle which is supplementary to an interior angle.
(length)(width)(height)

18. 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?
$11 -448
N! / (k!)(n-k)!
41 - 43 - 47
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

19. What is the 'domain' of a function?
A chord is a line segment joining two points on a circle.
N! / (k!)(n-k)!
The set of input values for a function.
1/2 times 7/3

20. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
70
Undefined
A 30-60-90 triangle.

21. the measure of a straight angle
180°
1
The greatest value minus the smallest.
C = 2(pi)r

22. 7/8 in percent?
y = 2x^2 - 3
zero
The sum of its digits is divisible by 3.
87.5%

23. What is the slope of a vertical line?

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24. Circumference of a circle
Pi(diameter)
A reflection about the axis.
27
13pi / 2

25. Ø is
A tangent is a line that only touches one point on the circumference of a circle.
180 degrees
x²-y²
A multiple of every integer

26. What are the irrational numbers?

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27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
27
x²+2xy+y²
Every number
$11 -448

28. Can you add sqrt 3 and sqrt 5?
A= (1/2) b*h
No - only like radicals can be added.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

29. Find distance when given time and rate
1/a^6
4096
D=rt so r= d/t and t=d/r
V=l×w×h

30. Pi is a ratio of what to what?

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31. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(a - b)(a + b)
Relationship cannot be determined (what if x is negative?)
70
zero

32. 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
Factors are few - multiples are many.
(a + b)^2
180
1 - P(E)

33. The Perimeter of a Square
P=4s (s=side)
x - x+1 - x+2
Null
3

34. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The greatest value minus the smallest.
Pi(diameter)
(distance)/(rate) d/r
28. n = 8 - k = 2. n! / k!(n-k)!

35. What is the ratio of the sides of an isosceles right triangle?
5 OR -5
.0004809 X 10^11
2 & 3/7
1:1:sqrt2

36. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(p + q)/5
3/2 - 5/3
1
5 - 12 - 13

37. How many multiples does a given number have?
The set of input values for a function.
Infinite.
A set with a number of elements which can be counted.
Can be negative - zero - or positive

38. When does a function automatically have a restricted domain (2)?
No - only like radicals can be added.
55%
(a + b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

39. What is the sum of the angles of a triangle?
2sqrt6
x - x(SR3) - 2x
180 degrees
Its last two digits are divisible by 4.

40. What percent of 40 is 22?
5 - 12 - 13
55%
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.)
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...

41. If a is inversely porportional to b - what does it equal?
Positive
Ab=k (k is a constant)
180
Can be negative - zero - or positive

42. 1 is the
Right
Smallest positive integer
Two angles whose sum is 90.
Ab=k (k is a constant)

43. 50 < all primes< 60
Ø=P(E)=1
A<-b
C=2 x pi x r OR pi x D
53 - 59

44. Factor x^2 - xy + x.
x(x - y + 1)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
8
The second graph is less steep.

45. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Pi is the ratio of a circle'S circumference to its diameter.
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)
The two xes after factoring.

46. What is the name for a grouping of the members within a set based on a shared characteristic?
Move the decimal point to the right x places
M
A subset.
Ab+ac

47. Can you simplify sqrt72?
The sum of the digits is a multiple of 9.
A²+b²=c²
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
31 - 37

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
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.)
A percent is a fraction whose denominator is 100.
4a^2(b)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. Area of a circle
N! / (n-k)!
Null
A=pi*(r^2)
2sqrt6

50. Slope of any line that goes down as you move from left to right is
Negative
$3 -500 in the 9% and $2 -500 in the 7%.
Ab-ac
62.5%

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GRE Math: All In One

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